#help-0 | Mathematics | Page 621

glass lichen May 21, 2021, 1:55 AM

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kinda sad you cant use a calculator yourself

rocky dock May 21, 2021, 1:55 AM

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THANKS!!! so much

glass lichen May 21, 2021, 1:55 AM

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you already know

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already been answered

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since you asked what 7*9 was. . .

shell widget May 21, 2021, 1:56 AM

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use google

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dont ask us

glass lichen May 21, 2021, 1:56 AM

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we dont care

shell widget May 21, 2021, 1:56 AM

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We

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Don't

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Care

wary stream May 21, 2021, 1:56 AM

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You

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Can't

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Use

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Discord on a flip phone

glass lichen May 21, 2021, 1:57 AM

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if you're on a flip phone how are you on discord

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how?

charred flint May 21, 2021, 1:57 AM

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happy_cry_cat

glass lichen May 21, 2021, 1:57 AM

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if you're on a flip phone, you cant have discord. so if you're on discord, you're not on a flipphone and thus can google

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Kinda easy

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why would we need to drop out?

tight locust May 21, 2021, 1:58 AM

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is this channel taken

glad bridge May 21, 2021, 1:58 AM

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what the heck

shell widget May 21, 2021, 1:58 AM

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@kindred crater shut up please

glass lichen May 21, 2021, 1:58 AM

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tight locust is this channel taken

no

shell widget May 21, 2021, 1:58 AM

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just shut up

tight locust May 21, 2021, 1:58 AM

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ok

glass lichen May 21, 2021, 1:58 AM

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just a troll

tight locust May 21, 2021, 1:58 AM

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hold up let me type this out in latex

glass lichen May 21, 2021, 1:58 AM

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and we've told you how to get help

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google it

glad bridge May 21, 2021, 1:59 AM

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use your calculator app

tight locust May 21, 2021, 1:59 AM

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$\sum\limits_{n=2}^\infty \frac{1}{x\ln(x)}$

ocean sealBOT May 21, 2021, 1:59 AM

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EndTimes

tight locust May 21, 2021, 1:59 AM

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ok.

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this should converge, should it not?

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because this is greater than the harmonic series

glass lichen May 21, 2021, 1:59 AM

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I believe integral test?

tight locust May 21, 2021, 1:59 AM

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and anything greater than the harmonic series should converge

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right?

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like let's say you have a sum of the form

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$\frac{1}{n^{1+\epsilon}}$

ocean sealBOT May 21, 2021, 2:00 AM

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EndTimes

tight locust May 21, 2021, 2:00 AM

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for epsilon greater than 0

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anything even slightly bigger than the harmonic series will converge

severe sphinx May 21, 2021, 2:01 AM

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can some one help do like 1a, and then i can try the rest

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glass lichen May 21, 2021, 2:01 AM

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tight locust anything even slightly bigger than the harmonic series will converge

yes by p-series

tight locust May 21, 2021, 2:01 AM

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exactly

glass lichen May 21, 2021, 2:01 AM

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but 1/xlnx isnt a p series

tight locust May 21, 2021, 2:01 AM

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so xlnx is greater than x^1

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so it should converge

wary stream May 21, 2021, 2:02 AM

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severe sphinx

I believe this channel is currently in use, please ask in a different, inactive channel

tight locust May 21, 2021, 2:02 AM

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it's not a p series but you should be able to compare it to a p series

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this is called comparison test

glass lichen May 21, 2021, 2:02 AM

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it diverges by integral test

severe sphinx May 21, 2021, 2:02 AM

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tight locust it's not a p series but you should be able to compare it to a p series

ok thx

glass lichen May 21, 2021, 2:02 AM

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the sum you have

tight locust May 21, 2021, 2:02 AM

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,calc 90*ln(90)

ocean sealBOT May 21, 2021, 2:02 AM

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The following error occured while calculating:
Error: Undefined function ln

tight locust May 21, 2021, 2:02 AM

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,w 90*log(90)

ocean sealBOT May 21, 2021, 2:02 AM

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Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

tight locust May 21, 2021, 2:03 AM

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1/404 < 1/90

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that should be a lot quicker convergence than harmonic series

glass lichen May 21, 2021, 2:03 AM

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$\int_2^\infty\frac{1}{x\ln(x)}\dd{x}$ DNE

ocean sealBOT May 21, 2021, 2:03 AM

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Mosh

glass lichen May 21, 2021, 2:03 AM

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hence divergent

tight locust May 21, 2021, 2:03 AM

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right. but why?

glass lichen May 21, 2021, 2:03 AM

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cause if you go through and compute that integral you get something divergent

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and integral test says that if the general term is monotone decreasing and positive, the sum converges iff the integral does

tight locust May 21, 2021, 2:07 AM

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so why doesn't the comparison test work then?

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comparing it to the p series

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$\frac{1}{n^{1+\epsilon}}$

ocean sealBOT May 21, 2021, 2:07 AM

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EndTimes

tight locust May 21, 2021, 2:07 AM

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for epsilon > 0

glass lichen May 21, 2021, 2:08 AM

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Usually p series comparison works when you can add subtract something to simplify it iirc

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But that sum is just the quintessential teaching integral test one imo

keen trail May 21, 2021, 2:10 AM

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I see what does that 2a+ax^2+bx+c represents again @wary stream

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Nvn I got it

wary stream May 21, 2021, 2:13 AM

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keen trail I see what does that 2a+ax^2+bx+c represents again <@485903210272391178>

Did that help?

serene lily May 21, 2021, 2:15 AM

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im split between 67 and 54

wary stream May 21, 2021, 2:16 AM

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serene lily im split between 67 and 54

How did you get these values?

serene lily May 21, 2021, 2:16 AM

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i tried different proportionalities

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60/117=x/130

60/130=x/117

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only one is right there and i dont know which

wary stream May 21, 2021, 2:18 AM

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Which side is similar to which other? Like side UV, what is its similar side on the other triangle?

eternal spindle May 21, 2021, 2:19 AM

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severe sphinx

a=1, p=-3, q=0

serene lily May 21, 2021, 2:20 AM

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wary stream Which side is similar to which other? Like side UV, what is its similar side on ...

it wasnt really stated

i only assumed using opposite angles of both triangles and finding the remote side of it... and from there i built the proportions

i dont really know how to word out my process better lmao

wary stream May 21, 2021, 2:20 AM

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Do you know what a similar triangle is?

keen trail May 21, 2021, 2:20 AM

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@wary stream I keep messing up

serene lily May 21, 2021, 2:21 AM

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wary stream Do you know what a similar triangle is?

its was actually discussed to us last week

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i also thought about tutorials on youtube but many were quite confusing

wary stream May 21, 2021, 2:21 AM

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keen trail <@485903210272391178> I keep messing up

Can you repost the question again?

keen trail May 21, 2021, 2:22 AM

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Yeah

eternal spindle May 21, 2021, 2:23 AM

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serene lily its was actually discussed to us last week

If you take a triangle and just like, scale it up while the angles remain conserved, the triangles formed is called similar to the original

wary stream May 21, 2021, 2:23 AM

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serene lily i also thought about tutorials on youtube but many were quite confusing

Similar triangles are triangles, that have the same attributes but different sizes. So for instance, in your question, side TV is proportional LM, but just different lengths

keen trail May 21, 2021, 2:26 AM

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This is what I got i was redoing the problem ima see if i can factor it @wary stream

wary stream May 21, 2021, 2:29 AM

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keen trail

The equation for y, is $ax^2 + bx + c$

ocean sealBOT May 21, 2021, 2:29 AM

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dldh06

wary stream May 21, 2021, 2:30 AM

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Then find y' and y''

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And plug it in

keen trail May 21, 2021, 2:30 AM

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Can you show me because thats what my teacher showed me in the examples

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:}

wary stream May 21, 2021, 2:34 AM

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So starting with $y'' - y' -2y = 9x + 5$, the general equation for the right side is, $y = ax^2 + bx + c$. Now $y' = 2ax + b$, and $y'' = 2a$. Plug those in and solve for a, b, and c. So $2a - (2ax + b) -2(ax^2 + bx + c) = 9x + 5$

ocean sealBOT May 21, 2021, 2:34 AM

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dldh06

wary stream May 21, 2021, 2:34 AM

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You should be able to finish from there @keen trail

keen trail May 21, 2021, 2:41 AM

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How would I set it up like this, sorry

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Sorry, im having a brain fart

wary stream May 21, 2021, 2:42 AM

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Set the $x^2$ terms equal, the x, and constants

ocean sealBOT May 21, 2021, 2:43 AM

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dldh06

lucid nymph May 21, 2021, 2:43 AM

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wary stream May 21, 2021, 2:44 AM

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So notice in my example, I set all the $x^2$ terms equal @keen trail

ocean sealBOT May 21, 2021, 2:44 AM

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dldh06

keen trail May 21, 2021, 2:44 AM

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Yeah I understand that part, let me write it down

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@wary stream i just want to have confirmation if i did it correctly

wary stream May 21, 2021, 2:48 AM

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The bx and c should be negative

keen trail May 21, 2021, 2:49 AM

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Right

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So the constants will equal to 0?

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@wary stream

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X^2 = 9 x = 5 and c = 0

wary stream May 21, 2021, 2:54 AM

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So it should be $-2ax^2 = 0x^2$, $-2ax + - 2bx =9x$, and $2a - b - 2c = 5$

ocean sealBOT May 21, 2021, 2:54 AM

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dldh06

keen trail May 21, 2021, 2:55 AM

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Oh right okay

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But the answer is -1/4(1+18x) like how

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@wary stream

wary stream May 21, 2021, 3:06 AM

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What did you get for a, b, and c?

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Did you get a = 0, b = -9/2, and c = -1/4? @keen trail

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So the equation $y_p = \frac{-9}{2}x + \frac{-1}{4}$, correct? @keen trail

ocean sealBOT May 21, 2021, 3:10 AM

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dldh06

wary stream May 21, 2021, 3:10 AM

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So factor out a -1/4 now

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And that's how you get the answer

keen trail May 21, 2021, 3:14 AM

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I messed up at isolating i got it now thanks

spring cloak May 21, 2021, 3:22 AM

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how do we check if it's a solution?

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do we plug g(x) into the derv?

stark lantern May 21, 2021, 3:27 AM

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spring cloak do we plug g(x) into the derv?

that would work
or you could just solve the differential equation, it's variable-seperable so pretty straightforward

spring cloak May 21, 2021, 3:33 AM

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if the derv is neg and xy^2 is pos, then the answer would be no right?

rich berry May 21, 2021, 3:43 AM

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sombody solve this

shell widget May 21, 2021, 3:49 AM

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sum of all the angles = 360

alpine sable May 21, 2021, 4:02 AM

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I need a bit of help with linear algebra

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I am not familiar with the term "orthanormal"

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It's just making me so lost because this class in general always expects me to know the processes without showing me >_<

muted raft May 21, 2021, 4:04 AM

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Well, first, what does the term Orthogonal mean?

alpine sable May 21, 2021, 4:06 AM

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Perpendicular, right?

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The product of 2 vectors = 0?

muted raft May 21, 2021, 4:06 AM

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Yes their inner product is 0.

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Now, two vectors $\vec{v}, \vec{w}$ are said to be \textbf{orthonormal} if they are \textit{orthogonal} and each vector has \textit{norm} $1$.

ocean sealBOT May 21, 2021, 4:08 AM

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zslya

alpine sable May 21, 2021, 4:08 AM

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Okay, so nothing new, right?

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I just apply orthogonal properties?

shrewd sable May 21, 2021, 4:08 AM

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They have to be orthogonal and have length 1

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Not just orthogonal

muted raft May 21, 2021, 4:08 AM

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Yes

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Which means $\norm{\vec{v}}$ must be equal to $1$

ocean sealBOT May 21, 2021, 4:09 AM

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zslya

alpine sable May 21, 2021, 4:13 AM

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Okay, then I need to get started on determining which are orthogonal

tacit mortar May 21, 2021, 4:14 AM

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is the free

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thinkscratch

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this*

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did i do this correct

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final crag May 21, 2021, 4:30 AM

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Could someone help me with part a?

ionic jewel May 21, 2021, 4:36 AM

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@final crag and it is acyclic

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so the matrix there is if you can get to element column from element row

sour lynx May 21, 2021, 4:37 AM

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i have to make an equation to solve for x but this makes no sense

final crag May 21, 2021, 4:38 AM

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ionic jewel ``` 1 0 0 0 0 1 1 1 0 1 1 0 1 0 1 1 1 1 1 1 0 0 0 0 1 ```

how did you get that matrix?

ionic jewel May 21, 2021, 4:38 AM

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the (i,j) element in the matrix is if you can get to node j from node i

ionic jewel May 21, 2021, 4:39 AM

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sour lynx i have to make an equation to solve for x but this makes no sense

the block thing means its 90 degrees

sour lynx May 21, 2021, 4:39 AM

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i know

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but i have to solve for x

ionic jewel May 21, 2021, 4:39 AM

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final crag how did you get that matrix?

https://www.tutorialspoint.com/Transitive-closure-of-a-Graph
quick link

ionic jewel May 21, 2021, 4:39 AM

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sour lynx but i have to solve for x

what have you tried?

sour lynx May 21, 2021, 4:39 AM

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idk

ionic jewel May 21, 2021, 4:39 AM

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can you setup an equation?

sour lynx May 21, 2021, 4:40 AM

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my friend is in a private school and he doesnt get it too

ionic jewel May 21, 2021, 4:40 AM

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irrelevent but ok

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can you find an equation?

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what is 3x+96 equal to?

final crag May 21, 2021, 4:41 AM

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ionic jewel the (i,j) element in the matrix is if you can get to node j from node i

uh sorry i still dont get it :l

ionic jewel May 21, 2021, 4:42 AM

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final crag uh sorry i still dont get it :l

can you get from node a to node a?

final crag May 21, 2021, 4:42 AM

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no right

ionic jewel May 21, 2021, 4:42 AM

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ur already there

final crag May 21, 2021, 4:42 AM

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theres no self loop there

ionic jewel May 21, 2021, 4:42 AM

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so you absolutely can

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you dont need a loop

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each node can get to itself by taking 0 edges

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so node a can reach node a

final crag May 21, 2021, 4:43 AM

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hmm okay and then why is the first row 1 0 0 0 0

ionic jewel May 21, 2021, 4:43 AM

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so therefore the first element in our matrix is a 1 (can reach)

final crag May 21, 2021, 4:43 AM

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cant d reach a?

ionic jewel May 21, 2021, 4:43 AM

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its the other way

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the first row is the things that A can reach

final crag May 21, 2021, 4:44 AM

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ohhh

ionic jewel May 21, 2021, 4:44 AM

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A can only reach A so its 1 0 0 0 0

final crag May 21, 2021, 4:44 AM

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lol

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thats the transitive closure matrix?

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or u gotta first do that and then make it into a transitive closure?

ionic jewel May 21, 2021, 4:44 AM

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thats a transitive closure matrix

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I assume its what they want

final crag May 21, 2021, 4:45 AM

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ahh this makes sense now

potent rock May 21, 2021, 4:45 AM

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In coordinate geometry, what is the answer to gradient*gradient
i forgot if it's 1 or -1 or something else

final crag May 21, 2021, 4:46 AM

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ionic jewel thats a transitive closure matrix

thanks for the help

ionic jewel May 21, 2021, 4:47 AM

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yw

alpine sable May 21, 2021, 4:52 AM

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what 5x - 9 equal if x is 3

stray burrow May 21, 2021, 5:03 AM

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so first replace x with 3 so it would be 5 x 3 - 9

do 5 x 3 which is 15 then subtract by 9 = 15 - 9 = 6

final crag May 21, 2021, 5:04 AM

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ionic jewel yw

would the 2nnd row be 1 1 1 0 1 btw?

echo forum May 21, 2021, 5:05 AM

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I'm p sure u have to subtract it by the first row

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@final crag

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R u trying to put it in rref?

ionic jewel May 21, 2021, 5:05 AM

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no hes not

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let me check rozio

echo forum May 21, 2021, 5:05 AM

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Oh wait I didn't read above

ionic jewel May 21, 2021, 5:06 AM

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B can get to BCAE

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wait

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eveyrthing except D yea

final crag May 21, 2021, 5:06 AM

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oh wait

ionic jewel May 21, 2021, 5:06 AM

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thats what my matrix was

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lol

potent rock May 21, 2021, 5:06 AM

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i have the value of gradient, the value of c and the value of 1x coord and 1y coord. How can I form an equation for the line?

final crag May 21, 2021, 5:06 AM

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D is supposed to be 1 1 1 0 1

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isnt it

ionic jewel May 21, 2021, 5:07 AM

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D can reach everything

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so it should be 1 1 1 1 1

final crag May 21, 2021, 5:07 AM

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oh i thought u said d was wrong haha

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kk

ionic jewel May 21, 2021, 5:08 AM

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D can reach itself

final crag May 21, 2021, 5:09 AM

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yeah i have 1 1 1 1 1

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above

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kk this makes sense now thoughh

spark oasis May 21, 2021, 5:19 AM

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Guys

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What is 1x9-1

ionic jewel May 21, 2021, 5:19 AM

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1 times 9 minus 1

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multiplication first, so 1 times 9 is 9, then subtract 1 to get 8

lean compass May 21, 2021, 5:21 AM

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Csnt figure out D

alpine sable May 21, 2021, 5:21 AM

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stray burrow so first replace x with 3 so it would be 5 x 3 - 9 do 5 x 3 which is 15 then su...

Thank you

alpine sable May 21, 2021, 5:22 AM

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lean compass

find the pattern think about how you can write the nth term

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1/((n(n+3)) is the nth term

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Is 3² 3x3 or 3x2

ionic jewel May 21, 2021, 5:28 AM

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wow i didnt even have to ping mods how convenient

ionic jewel May 21, 2021, 5:28 AM

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alpine sable Is 3² 3x3 or 3x2

its 3 times 3

alpine sable May 21, 2021, 5:28 AM

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ionic jewel its 3 times 3

Wow thank you

ionic jewel May 21, 2021, 5:28 AM

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$3^2 = 3\times3$

ocean sealBOT May 21, 2021, 5:28 AM

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bunny

lean compass May 21, 2021, 5:34 AM

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@alpine sable thank you, appreciate it

alpine sable May 21, 2021, 5:36 AM

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2am a=3 ; m=6

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2 × 3 × 6 right?

ionic jewel May 21, 2021, 5:37 AM

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yes

alpine sable May 21, 2021, 5:37 AM

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5x -9 ; x=3

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You 5 ×3×-9?

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Or 15 - 9 = 6

ionic jewel May 21, 2021, 5:45 AM

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the latter

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15-9=6

alpine sable May 21, 2021, 5:49 AM

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Ok

vale wigeon May 21, 2021, 5:49 AM

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5x - 9 is not 5x * (-9)

lyric sierra May 21, 2021, 5:52 AM

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Hi, i was looking through my textbook and found "R^2" randomly refered to, can anyone explain what R^2 or R^3 mean in this context?

last dome May 21, 2021, 5:54 AM

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how do I do these 2?

alpine sable May 21, 2021, 5:56 AM

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last dome

don't post the same question in multiple channels

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Ok now hold up

alpine sable May 21, 2021, 5:57 AM

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last dome how do I do these 2?

use the exponent properties for #1 (power to a power, multiplication of like bases, and 1/x=x^(-1))
log properties for #2 (addition/subtraction rule)

alpine sable May 21, 2021, 6:00 AM

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last dome

What grade you in?

ionic jewel May 21, 2021, 6:02 AM

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you learn that somewhere in algebra so I'd guess somewhere between 7 and 10th

alpine sable May 21, 2021, 6:15 AM

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Not sure why I get different answers for c her

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Is the original logistical differential equation

vale wigeon May 21, 2021, 6:18 AM

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alpine sable

what's that extra +y_n doing in this

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this is not the logistic map

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not as-written anyway

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and in either case you're trying to fit a continuous model to a discrete simulation

alpine sable May 21, 2021, 6:26 AM

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X(3X-7) ; X = 3

digital maple May 21, 2021, 6:37 AM

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can someone help me with this?

vale wigeon May 21, 2021, 6:40 AM

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how much progress have you made so far?

digital maple May 21, 2021, 6:40 AM

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Okay so

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So far these are the equations i was able to come up with

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First i let C rep. Caps and B rep. Brim hats

then i came up with the following:

7C + 10B (since caps cost 7 bucks to make and brims cost 10 bucks)
0.2m^2 + 0.4m^2 <= 1000m^2 (cotton)
0.2m^2 + 0.1m^2 <= 500m^2 (polyester)

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But after that i felt stuck because i had a feeling i did something wrong and that im obviously missing something

vale wigeon May 21, 2021, 6:44 AM

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0.2m^2 + 0.4m^2 <= 1000m^2 (cotton)
you are missing something very crucial here

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the variables

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also you are not minimizing cost you are maximizing profit

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the profit is $8 per cap and $5 per wide-brim hat

ocean sealBOT May 21, 2021, 6:45 AM

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Ann

digital maple May 21, 2021, 6:46 AM

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$8 and $5? Where would i get that from the question?

vale wigeon May 21, 2021, 6:48 AM

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caps cost $7 but sell for $15

ocean sealBOT May 21, 2021, 6:48 AM

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Ann

vale wigeon May 21, 2021, 6:48 AM

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profit = revenue - cost

digital maple May 21, 2021, 6:48 AM

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Ohhh right

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So after finding that, how should i proceed with my solution?

digital maple May 21, 2021, 6:49 AM

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vale wigeon > 0.2m^2 + 0.4m^2 <= 1000m^2 (cotton) you are missing something ver...

like for this one. What vvariables am i missing? Since there is already the m variable in it

vale wigeon May 21, 2021, 6:50 AM

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m is not a variable

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m^2 is the notation for square meters, a unit of measurement

digital maple May 21, 2021, 6:51 AM

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Oh yeaa true

vale wigeon May 21, 2021, 6:51 AM

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your first inequality should be 0.2C + 0.4B ≤ 1000

digital maple May 21, 2021, 6:52 AM

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AHhh so i did get it almost right but i messed up the variable parts

digital maple May 21, 2021, 6:55 AM

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vale wigeon also you are not minimizing cost you are maximizing profit

How would i know if my equation shows that its maximizing rather than minimizing?

vale wigeon May 21, 2021, 6:55 AM

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yours doesnt show it either way

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you should write "max" or "min" somewhere

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your objective function was wrong anyway

digital maple May 21, 2021, 7:03 AM

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Ahhh i see. So i redid my equations and this is what i have now

max. 3C + 5B
0.2C + 0.4B <= 1000
0.2C + 0.1B <= 500

I got the 3C by using the Profit equation to find the profit for caps (10-7=3) and the profit for brims in order to get 5B (15-10=5)

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@vale wigeon Does that seem correct now?

vale wigeon May 21, 2021, 7:04 AM

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caps don't sell for 10 they sell for 15

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also you need to include C, B ≥ 0

digital maple May 21, 2021, 7:05 AM

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Oh yea i forgot to do that. BUt wait look here

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It says that they sell for 10 tho...

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Or am i looking at all of it the wrong way

vale wigeon May 21, 2021, 7:06 AM

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oh they do

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shit

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no it's my bad

digital maple May 21, 2021, 7:06 AM

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Lol its all good

vale wigeon May 21, 2021, 7:07 AM

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ok

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then it's correct except that you missed the constraints C ≥ 0 and B ≥ 0

digital maple May 21, 2021, 7:07 AM

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Right here is my updated solution
max. 3C + 5B
s.t. 0.2C + 0.4B <= 1000
0.2C + 0.1B <= 500
C >= 0
B >= 0

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Thats how its supposed to be right?

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uhhh

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im gonna pretend like i didn't see that lol

kind jungle May 21, 2021, 8:02 AM

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Quick question, is this correct? :
R1 = {(1, 1), (1, 2), (1, 3), (2, 2), (2, 3), (3, 3)}
R2 = {(1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 3)}
R2 o R1 = {(1,1), (1,2), (1,3), (2,1), (2,2), (2,3), (3,1), (3,3)}

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(discrete mathematics)

oak chasm May 21, 2021, 8:07 AM

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@kind jungle Input of 1 to R1 gives 1, 2, 3. Input of 2 to R1 gives 2, 3. Input of 3 to R1 gives 3.
Input of 1 to R2 gives 3. Input of 2 to R2 gives 2, 3. Input of 3 to R2 gives 1, 3.
Input of 1 to R2 o R1 gives 3, 2, 3, 1, 3 = 1, 2, 3. Input of 2 to R2 o R1 gives 2, 3, 1, 3 = 1, 2, 3. Input of 3 to R2 o R1 gives 1, 3.
(1, 1), (1, 2), (1, 3), (2, 1), (2, 2), (2, 3), (3, 1), (3, 3)
Looks good.

thick sigil May 21, 2021, 8:28 AM

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Can anyone help me check if this is the right way to find a Jordan Normal Form

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Of a matrix, thanks

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sly mantle May 21, 2021, 8:35 AM

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@thick sigil you didn't show how you found S

thick sigil May 21, 2021, 8:45 AM

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sly mantle <@!330372880154099715> you didn't show how you found S

How do you do that?

sly mantle May 21, 2021, 8:45 AM

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how'd you find S?

sage summit May 21, 2021, 8:45 AM

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what did you say the eigenvectors were ?

thick sigil May 21, 2021, 8:47 AM

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I used the JNF calculator online lol

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Eigenvectors in this case is -1

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But yes looking through examples online

sly mantle May 21, 2021, 8:47 AM

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-1 is an eigenvalue not an eigenvector

thick sigil May 21, 2021, 8:48 AM

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so eigenvector is
1 2 1
0 0 0
-1 -2 -1
?

sage summit May 21, 2021, 8:48 AM

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that's a matrix

thick sigil May 21, 2021, 8:48 AM

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lol kill me

sly mantle May 21, 2021, 8:48 AM

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no that's A-(-1)I ie A+I

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eigenvectors are found by solving (A+I)x=0

thick sigil May 21, 2021, 8:50 AM

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https://www.mathstools.com/section/main/jordan_form_3x3_triple_root#.YKdxyZNKi3J

Jordan cannonical form 3x3 example - Triple real root - Eigenspace ...

Example of Jordan canonical form with dimension 3, in this case, the eigenspace corresponding to the only eigenvalue, has dimension 2, so we have to calculate a eigenvectors form the two given by the autoespace spanned by the eigenvalue

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Theres an example here that states similar, but I'm confused how they then got the eigenvectors after this

sly mantle May 21, 2021, 8:54 AM

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did you solve the above yet

thick sigil May 21, 2021, 8:55 AM

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Whats there to solve tho
its 2 systems of linear equations w 3 unknowns

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and the 2 systems are same just one +ve and one -ve

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super confused

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do you mean solve to find the unknowns x y and z?

sly mantle May 21, 2021, 8:58 AM

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yes

thick sigil May 21, 2021, 9:00 AM

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it doesnt equal anything?

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x+2y+z=0
-x-2y-z=0

sly mantle May 21, 2021, 9:02 AM

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thick sigil it doesnt equal anything?

wdym

thick sigil May 21, 2021, 9:03 AM

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how do u solve 3 unknowns w a system of 2 linear equations

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thats what i mean

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thats not doable no

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so I know the characteristic polynomial is (x+1)^3

glad oriole May 21, 2021, 9:10 AM

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I am lock for this equation :

I do a solve the derivation ( fonction exponentielle )

sly mantle May 21, 2021, 9:10 AM

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@thick sigil if you're stuck here then i sense a knowledge gap. you must know how to solve linear systems way before learning to find eigenvectors

chilly panther May 21, 2021, 9:39 AM

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Can someone walk me through how do integrate e^(2x) I’m getting very confused and flustered. I understand how to do u substitution for some functions but every time I try this one my brain hurts

rigid smelt May 21, 2021, 9:40 AM

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so basically the idea is that we know how to integrate e^x

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but here its 2x, so its a bit complicated and we just want it to be a varible

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so we can u sub here

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because if we sub u=2x, we both have it in the form e^u and can cancel out the x's

chilly panther May 21, 2021, 9:42 AM

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But then how do you integrate e^u that’s where I get stuck

rigid smelt May 21, 2021, 9:42 AM

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whats the derivative of e^u?

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wrt u

chilly panther May 21, 2021, 9:42 AM

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e^u no?

rigid smelt May 21, 2021, 9:42 AM

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yep

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so then if we integrate e^u

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what would we get?

chilly panther May 21, 2021, 9:42 AM

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e^u

rigid smelt May 21, 2021, 9:42 AM

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yeah

chilly panther May 21, 2021, 9:43 AM

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But then you sub 2x back in and get back to e^(2x) that’s where I’m lost

rigid smelt May 21, 2021, 9:43 AM

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ok lets do it from the start

ocean sealBOT May 21, 2021, 9:43 AM

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waler

rigid smelt May 21, 2021, 9:43 AM

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now we sub u=2x

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and when we do that

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we should also change the varible of integration

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so can you tell me whats du=?

chilly panther May 21, 2021, 9:44 AM

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2

rigid smelt May 21, 2021, 9:44 AM

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not really

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thats du/dx

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du=2dx

chilly panther May 21, 2021, 9:44 AM

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Okay yeah I got that

rigid smelt May 21, 2021, 9:45 AM

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right so then whats dx?

chilly panther May 21, 2021, 9:45 AM

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One minute just writing it all down

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1/2?

rigid smelt May 21, 2021, 9:45 AM

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you are missing one very important thing

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du=2dx

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dx != 1/2

chilly panther May 21, 2021, 9:46 AM

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du/2

rigid smelt May 21, 2021, 9:46 AM

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yes

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so now just sub them in

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$\int e^u \frac{du}{2}$

ocean sealBOT May 21, 2021, 9:46 AM

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waler

rigid smelt May 21, 2021, 9:46 AM

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since 1/2 is a constant, we can take it out

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so now its just that easy integral of e^u

chilly panther May 21, 2021, 9:47 AM

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Thank you so much! It still feels weird treating dx and du as variables you can move around but that makes a lot of sense now. Thank you so so much

rigid smelt May 21, 2021, 9:47 AM

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yeah, you just need to treat them like so

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even tho they are not

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more practice will get you used to it

chilly panther May 21, 2021, 9:47 AM

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Awesome, thanks so much

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rigid smelt May 21, 2021, 9:50 AM

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yeah seems good

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oh and another way you could appraoch this is that

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since you know derivative of e^(mx+b) = me^(mx+b) you could find some function that when differentiate gives e^(2x)

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so by the reversed chain rule (which is not a thing), e^(2x)/2 is our answer

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and dont forget a +c

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that backward working only works for some few cases like linear functions and such

alpine sable May 21, 2021, 9:56 AM

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1

haughty plaza May 21, 2021, 10:02 AM

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Is this correct?

oak chasm May 21, 2021, 10:10 AM

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Well, multiply the element with its inverse.

ocean sealBOT May 21, 2021, 10:12 AM

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Chai T. Rex

haughty plaza May 21, 2021, 10:12 AM

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yeah

oak chasm May 21, 2021, 10:12 AM

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That's not an element of the ring.

vale wigeon May 21, 2021, 10:16 AM

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does 24x + 15 even have an inverse in Z_32[x] thonk

haughty plaza May 21, 2021, 10:25 AM

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this is what i did

ocean sealBOT May 21, 2021, 10:26 AM

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Chai T. Rex

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Chai T. Rex

oak chasm May 21, 2021, 10:27 AM

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@haughty plaza OK, so we have (24x + 15)(ax + b) = 1.

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Expand the left.

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What do you get?

haughty plaza May 21, 2021, 10:27 AM

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give me a second

oak chasm May 21, 2021, 10:27 AM

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OK.

haughty plaza May 21, 2021, 10:30 AM

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24ax^2 +15ax +24bx+15b = 1

oak chasm May 21, 2021, 10:31 AM

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OK, so coefficients now.

ocean sealBOT May 21, 2021, 10:31 AM

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Chai T. Rex

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Chai T. Rex

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Chai T. Rex

oak chasm May 21, 2021, 10:32 AM

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Does that make sense?

haughty plaza May 21, 2021, 10:33 AM

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yes

oak chasm May 21, 2021, 10:33 AM

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OK, so 24 isn't coprime to 32, so let's not do the first equivalence.

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15 is coprime to 32, so let's get b.

ocean sealBOT May 21, 2021, 10:34 AM

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Chai T. Rex

haughty plaza May 21, 2021, 10:35 AM

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15?

ocean sealBOT May 21, 2021, 10:35 AM

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Chai T. Rex

oak chasm May 21, 2021, 10:36 AM

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What do you get after filling in b?

haughty plaza May 21, 2021, 10:36 AM

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15a+360=0

oak chasm May 21, 2021, 10:36 AM

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,calc 24*15

ocean sealBOT May 21, 2021, 10:36 AM

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Result:

oak chasm May 21, 2021, 10:36 AM

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OK, now what's 360, modulo 32?

haughty plaza May 21, 2021, 10:38 AM

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8

oak chasm May 21, 2021, 10:41 AM

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@haughty plaza Sorry, computer delay.

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OK, so subtract 8 from both sides.

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What equivalence do you get?

haughty plaza May 21, 2021, 10:42 AM

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15a-8=0

ocean sealBOT May 21, 2021, 10:42 AM

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Chai T. Rex

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Chai T. Rex

oak chasm May 21, 2021, 10:43 AM

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Does that make sense?

haughty plaza May 21, 2021, 10:44 AM

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ah yes

oak chasm May 21, 2021, 10:44 AM

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OK, so we already know the multiplicative inverse of 15, which is what?

haughty plaza May 21, 2021, 10:44 AM

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15

oak chasm May 21, 2021, 10:44 AM

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Multiply both sides by 15. What do you get?

haughty plaza May 21, 2021, 10:46 AM

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we do this ? 15a15=2415

oak chasm May 21, 2021, 10:46 AM

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Yes.

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What's 15 times its inverse?

haughty plaza May 21, 2021, 10:47 AM

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225

oak chasm May 21, 2021, 10:47 AM

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Right, but anything times its multiplicative inverse is 1.

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That's what multiplicative inverse means.

haughty plaza May 21, 2021, 10:47 AM

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oh yes thats why i was confused

oak chasm May 21, 2021, 10:47 AM

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So, the left side is 1a or a.

haughty plaza May 21, 2021, 10:47 AM

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yeah

oak chasm May 21, 2021, 10:47 AM

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What's the right side?

haughty plaza May 21, 2021, 10:47 AM

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360

oak chasm May 21, 2021, 10:48 AM

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What's that reduced modulo 32?

haughty plaza May 21, 2021, 10:48 AM

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8

ocean sealBOT May 21, 2021, 10:48 AM

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Chai T. Rex

haughty plaza May 21, 2021, 10:48 AM

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right

ocean sealBOT May 21, 2021, 10:49 AM

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Chai T. Rex

oak chasm May 21, 2021, 10:49 AM

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Does that make sense?

haughty plaza May 21, 2021, 10:49 AM

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yes thanks alot !

wary ivy May 21, 2021, 10:49 AM

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:}

oak chasm May 21, 2021, 10:50 AM

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@haughty plaza No problem. Here's my working and checking the answer:
https://cdn.discordapp.com/attachments/488104216678760469/845247211746099200/537482727557955597.png

vale wigeon May 21, 2021, 10:50 AM

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@wary ivy go to #chill

fading zephyr May 21, 2021, 10:50 AM

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wary ivy

don't come here to block the questions channels with low quality content, please

haughty plaza May 21, 2021, 10:50 AM

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i cant save the image

oak chasm May 21, 2021, 10:50 AM

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https://cdn.discordapp.com/attachments/488104216678760469/845247211746099200/537482727557955597.png

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Right click on link, save link as.

haughty plaza May 21, 2021, 10:51 AM

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nvm yeah i can now thanks

oak chasm May 21, 2021, 10:51 AM

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No problem.

main girder May 21, 2021, 10:53 AM

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i'd like some help finding out the chance of scoring a first-roll Yahtzee twice, and a second roll Yahtzee within the same game.

also, the odds of all of those Yahtzee's being all 5's

serene jolt May 21, 2021, 11:04 AM

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homeskillet

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i have big brain question

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for a big brain person

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dang it my paste broken

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one sec

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aight

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so im doing a practice quiz and this question no make sens ;(

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i understand how to get the answer im pretty sure

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but i dont understand how to get it in that form

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isnt that like gellometric mean or somthin

oak chasm May 21, 2021, 11:06 AM

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@serene jolt Do you know SOH CAH TOA?

serene jolt May 21, 2021, 11:06 AM

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yessu

ocean sealBOT May 21, 2021, 11:07 AM

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Chai T. Rex

serene jolt May 21, 2021, 11:07 AM

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i used cosine for dis

oak chasm May 21, 2021, 11:07 AM

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Oh, what equation did you start with?

serene jolt May 21, 2021, 11:07 AM

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well like it was

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50/x = cos 30

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then i simplified and got 57.7\

oak chasm May 21, 2021, 11:07 AM

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Oh, no.

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CAH is adjacent over hypotenuse.

serene jolt May 21, 2021, 11:07 AM

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yuh

oak chasm May 21, 2021, 11:07 AM

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Which side is hypotenuse?

serene jolt May 21, 2021, 11:07 AM

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oH

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50

ocean sealBOT May 21, 2021, 11:08 AM

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Chai T. Rex

serene jolt May 21, 2021, 11:08 AM

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so dis 43.301270189221932338186158537647

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but like

ocean sealBOT May 21, 2021, 11:08 AM

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Chai T. Rex

serene jolt May 21, 2021, 11:09 AM

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0.86602540378443864676372317075294

oak chasm May 21, 2021, 11:09 AM

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No, that's approximate. It has many more digits after that.

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I mean exact.

serene jolt May 21, 2021, 11:09 AM

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but like how do i do it geometric mean style

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has to be lik dis

oak chasm May 21, 2021, 11:09 AM

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Right.

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$\trigvalues$

ocean sealBOT May 21, 2021, 11:09 AM

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Chai T. Rex

oak chasm May 21, 2021, 11:09 AM

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See this table?

mossy mulch May 21, 2021, 11:09 AM

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is this channel free?

serene jolt May 21, 2021, 11:10 AM

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yessu

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i mean

oak chasm May 21, 2021, 11:10 AM

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@mossy mulch No, sorry.

serene jolt May 21, 2021, 11:10 AM

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what abou table

oak chasm May 21, 2021, 11:10 AM

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OK, see how all the fractions are over 2?

serene jolt May 21, 2021, 11:10 AM

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yeah

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mhm

oak chasm May 21, 2021, 11:10 AM

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OK, see how all the tops of the fractions are square root of 0 to square root of 4 for sine and backwards for cosine?

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There's a pattern there.

serene jolt May 21, 2021, 11:10 AM

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y-yeah

oak chasm May 21, 2021, 11:11 AM

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And see the angles at the top?

serene jolt May 21, 2021, 11:11 AM

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mhm

oak chasm May 21, 2021, 11:11 AM

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They're the most important angles in a triangle, 0, 30, 45, 60, 90 degrees.

serene jolt May 21, 2021, 11:11 AM

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yuh

oak chasm May 21, 2021, 11:11 AM

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So, what's the cosine of 30 degrees?

serene jolt May 21, 2021, 11:11 AM

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oH

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the sqrt 3 /2 thing

oak chasm May 21, 2021, 11:11 AM

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Right.

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So, let's see.

serene jolt May 21, 2021, 11:12 AM

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so itd be like 100 * sqrt(2)?

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or

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2 * sqrt(150)

ocean sealBOT May 21, 2021, 11:12 AM

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Chai T. Rex

oak chasm May 21, 2021, 11:13 AM

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Does that make sense so far?

serene jolt May 21, 2021, 11:13 AM

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yuh

oak chasm May 21, 2021, 11:13 AM

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OK, what's 50 divided by 2?

serene jolt May 21, 2021, 11:13 AM

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25

ocean sealBOT May 21, 2021, 11:13 AM

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Chai T. Rex

serene jolt May 21, 2021, 11:13 AM

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wowowo

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but like

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will the cosine of the angle alaways be-

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oh wait

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nvm

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thank you very much

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i appreciate it

oak chasm May 21, 2021, 11:14 AM

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No problem.

ocean sealBOT May 21, 2021, 11:14 AM

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William Brown

$\int_s^\infty \frac{1}{s^2+2s+2}ds$

serene jolt May 21, 2021, 11:14 AM

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dang homes

junior thorn May 21, 2021, 11:14 AM

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can someone help with this?

oak chasm May 21, 2021, 11:14 AM

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ocean seal **Chai T. Rex**

@serene jolt If you memorize the pattern of the table, it will help you get exact values of sine and cosine for the usual angles.

limber ledge May 21, 2021, 11:14 AM

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hi

serene jolt May 21, 2021, 11:14 AM

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:0

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wowo

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tytyt

limber ledge May 21, 2021, 11:15 AM

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how would I solve this

oak chasm May 21, 2021, 11:15 AM

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@limber ledge Sorry, channel is busy.

limber ledge May 21, 2021, 11:15 AM

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he said tyty

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so I assumed he was done

junior thorn May 21, 2021, 11:15 AM

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ocean seal **William Brown** ```latex $\int_s^\infty \frac{1}{s^2+2s+2}ds$ ```

//

oak chasm May 21, 2021, 11:15 AM

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@limber ledge Yeah, but then @junior thorn came in.

limber ledge May 21, 2021, 11:15 AM

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oh ok

junior thorn May 21, 2021, 11:15 AM

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limber ledge so I assumed he was done

I asked after I'm sorry

limber ledge May 21, 2021, 11:15 AM

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oak chasm <@!662354986155638814> Yeah, but then <@!396041091528261644> came in.

can I get help after

oak chasm May 21, 2021, 11:16 AM

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@limber ledge Best to ask in empty channel, like #help-7｜zen1thxyz.

junior thorn May 21, 2021, 11:16 AM

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yeah

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I will post the question again

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$\int_s^\infty \frac{1}{s^2+2s+2}ds$

ocean sealBOT May 21, 2021, 11:16 AM

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William Brown

woeful swift May 21, 2021, 11:20 AM

#

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I am having trouble getting a start

limber ledge May 21, 2021, 11:21 AM

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I am next in the q

woeful swift May 21, 2021, 11:21 AM

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Could someone help out real quick with a possible method?

limber ledge May 21, 2021, 11:21 AM

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limber ledge

.

trim schooner May 21, 2021, 11:21 AM

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i need hel0

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help

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whats 6+9+6×9?

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plz help

alpine sable May 21, 2021, 11:22 AM

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,calc 6+9+6*9

ocean sealBOT May 21, 2021, 11:22 AM

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Result:

alpine sable May 21, 2021, 11:22 AM

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@trim schooner

trim schooner May 21, 2021, 11:22 AM

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ok

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,calc 419+1

ocean sealBOT May 21, 2021, 11:22 AM

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Result:

trim schooner May 21, 2021, 11:22 AM

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ah

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ok

alpine sable May 21, 2021, 11:23 AM

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Mfw you doing it intentionally?

trim schooner May 21, 2021, 11:23 AM

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,calc 69419+1

ocean sealBOT May 21, 2021, 11:23 AM

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Result:

trim schooner May 21, 2021, 11:23 AM

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ah

alpine sable May 21, 2021, 11:23 AM

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Do it in DM with TexIt then

trim schooner May 21, 2021, 11:23 AM

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alpine sable Mfw you doing it intentionally?

no its for my exam

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lol

alpine sable May 21, 2021, 11:23 AM

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alpine sable Do it in DM with TexIt then

^

trim schooner May 21, 2021, 11:23 AM

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no

alpine sable May 21, 2021, 11:24 AM

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pandacop

trim schooner May 21, 2021, 11:24 AM

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NE_worrynani

timid flint May 21, 2021, 11:39 AM

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I need help

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Im stuck

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At 17.50 Kristina will rent an electric scooter.
At company A, she has to pay 10 kr at start-up, and then 3 kr for every quarter of a minute she uses the bike.
At company B she has to pay 5 kr at start-up, and then 1.50 kr for every minute she uses the bike until 18.00, and 4 kr for every minute she uses the bike after 18.00.
a) Make a graphic representation in a coordinate system that shows the price y kroner that Kristina has to pay when she uses a bicycle for x minutes at both of the two companies.
b) How long does it take for Christina to use the bicycle for the company?

summer berry May 21, 2021, 11:54 AM

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I have 0,058=10^-1,63x how can I solve for x?

alpine sable May 21, 2021, 11:57 AM

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so is this channel taken or not?

plain bone May 21, 2021, 12:05 PM

#

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Hey guys can someone solve this real quick please

strong furnace May 21, 2021, 12:06 PM

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plain bone

is this a test?

plain bone May 21, 2021, 12:07 PM

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strong furnace is this a test?

Do you see any marks ?

strong furnace May 21, 2021, 12:07 PM

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I see radio buttons

plain bone May 21, 2021, 12:07 PM

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Ok sorry for the sass
Its not a test

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Its my assignment

strong furnace May 21, 2021, 12:07 PM

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what have you tried?

plain bone May 21, 2021, 12:07 PM

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I'm lost dude

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Math is my weakest suit

strong furnace May 21, 2021, 12:08 PM

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if I told you what property and idea they use will you be able to come up with something?

plain bone May 21, 2021, 12:08 PM

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strong furnace if I told you what property and idea they use will you be able to come up with s...

No bro I'm dumb

limber quiver May 21, 2021, 12:09 PM

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do you just want the answer?

strong furnace May 21, 2021, 12:09 PM

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I am not gonna give the solution straight

plain bone May 21, 2021, 12:09 PM

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I'm going through my notebook to find stuff
But can't find it even if I can it's jumping over my head

plain bone May 21, 2021, 12:09 PM

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limber quiver do you just want the answer?

Yes pls

limber quiver May 21, 2021, 12:09 PM

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perfect

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try google

plain bone May 21, 2021, 12:09 PM

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I've got like 13 more questions and my teacher is eating my head

limber quiver May 21, 2021, 12:09 PM

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damn unlucky

strong furnace May 21, 2021, 12:09 PM

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idk why you would want straight answer if its an assignment

plain bone May 21, 2021, 12:09 PM

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I need to submit this assignment real quick

strong furnace May 21, 2021, 12:09 PM

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pretty sus

plain bone May 21, 2021, 12:10 PM

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Online teaching is also sus
But nobody complains about it

strong furnace May 21, 2021, 12:10 PM

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5. While asking questions, make sure you mention all relevant details, including the context, what you have tried and what you're stuck at. Do not expect others to simply solve your questions for you. read #❓how-to-get-help before posting problems

plain bone May 21, 2021, 12:12 PM

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This is an assignment
My teacher is eating my head
We have to submit answers in MCQ.
because our Teacher is to lazy to check our solution
I haven't tried anything

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Well if you can't give away the answer
Explain me the process real quick

strong furnace May 21, 2021, 12:13 PM

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if you haven't tried anything , how is some1 supposed to help you

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you are supposed to use telescopic sums

plain bone May 21, 2021, 12:13 PM

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And ?

strong furnace May 21, 2021, 12:14 PM

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trigonometric properties related to tan()

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1 specific property

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not giving anything else unless you try something yourself

plain bone May 21, 2021, 12:15 PM

#

Is the answer 4 ?

#

Judging from the silence ig not

strong furnace May 21, 2021, 12:18 PM

#

I am not going to give you the answer but why don't you try to solve it ?

deep field May 21, 2021, 12:21 PM

#

#

Given ans is ||ABD||

#

This is the solution given for option B-

#

#

||But f(0) cannot be either 2 or -2 coz then that would give us f'(0)=3 which is not possible.||

#

||Can someone propose a different soln or is the information available insufficient?||

alpine sable May 21, 2021, 12:28 PM

#

Anyone can help

#

Any solutions?

deep field May 21, 2021, 12:30 PM

#

Do you know what are the internal and external angles of a regular polygon?

alpine sable May 21, 2021, 12:30 PM

#

Nope

#

Sadly

oak chasm May 21, 2021, 12:30 PM

#

Do you know what the sum of the angles in a triangle is?

alpine sable May 21, 2021, 12:30 PM

#

I am rlly bad at math u know

#

It's not even my field and they still force me to do math

ocean sealBOT May 21, 2021, 12:31 PM

#

Chai T. Rex

alpine sable May 21, 2021, 12:31 PM

#

I feel dumb

oak chasm May 21, 2021, 12:32 PM

#

OK, a triangle has 3 sides, right?

alpine sable May 21, 2021, 12:32 PM

#

Okay

ocean sealBOT May 21, 2021, 12:32 PM

#

Chai T. Rex

oak chasm May 21, 2021, 12:32 PM

#

So, a square has 4 sides, right?

alpine sable May 21, 2021, 12:33 PM

#

Ohhhh i got it

ocean sealBOT May 21, 2021, 12:33 PM

#

Chai T. Rex

oak chasm May 21, 2021, 12:33 PM

#

So, what's the sum of angles in a pentagon (5 sides)?

alpine sable May 21, 2021, 12:35 PM

#

540?

oak chasm May 21, 2021, 12:35 PM

#

Right.

#

What's the sum of angle in an octagon (8 sides)?

alpine sable May 21, 2021, 12:36 PM

#

Idk

#

Lemme calculate

oak chasm May 21, 2021, 12:36 PM

#

OK.

alpine sable May 21, 2021, 12:36 PM

#

1080?

oak chasm May 21, 2021, 12:36 PM

#

,calc 180(8-2)

ocean sealBOT May 21, 2021, 12:36 PM

#

Result:

oak chasm May 21, 2021, 12:36 PM

#

Yep.

#

So, we have a pentagon and an octagon in the picture.

#

How many angles are in a pentagon?

alpine sable May 21, 2021, 12:37 PM

#

5

ocean sealBOT May 21, 2021, 12:38 PM

#

Chai T. Rex

alpine sable May 21, 2021, 12:41 PM

#

108°?

oak chasm May 21, 2021, 12:41 PM

#

Right!

#

What's the average angle in an octagon?

alpine sable May 21, 2021, 12:41 PM

#

Hmm

#

I don't know i am slow

oak chasm May 21, 2021, 12:42 PM

#

What's the sum of angles over the number of angles?

#

We got the sum of angles earlier.

alpine sable May 21, 2021, 12:42 PM

#

1080°

oak chasm May 21, 2021, 12:42 PM

#

Right, how many angles in an octagon?

alpine sable May 21, 2021, 12:42 PM

#

5

oak chasm May 21, 2021, 12:42 PM

#

@cinder basin Sorry, channel is busy.

#

@alpine sable No, oct- stands for 8.

alpine sable May 21, 2021, 12:43 PM

#

Oh sorry

oak chasm May 21, 2021, 12:43 PM

#

So, 8 sides, 8 angles.

alpine sable May 21, 2021, 12:43 PM

#

That's Penta

oak chasm May 21, 2021, 12:43 PM

#

Yeah.

alpine sable May 21, 2021, 12:43 PM

#

Okay so

wide plaza May 21, 2021, 12:45 PM

#

hey can anyone help me with this problem?

oak chasm May 21, 2021, 12:45 PM

#

@wide plaza Sorry, channel is busy.

wide plaza May 21, 2021, 12:45 PM

#

No problem.

oak chasm May 21, 2021, 12:46 PM

#

@alpine sable Stuck?

alpine sable May 21, 2021, 12:46 PM

#

Really stuck

#

I am dumb at math man

ocean sealBOT May 21, 2021, 12:47 PM

#

Chai T. Rex

alpine sable May 21, 2021, 12:47 PM

#

135°?

oak chasm May 21, 2021, 12:47 PM

#

Right.

ocean sealBOT May 21, 2021, 12:48 PM

#

Chai T. Rex

alpine sable May 21, 2021, 12:48 PM

#

vale wigeon this is not the logistic map

It's saying 1 times itself + a growth factor * y in relation to the logistical relationship as defined by m - y_n

oak chasm May 21, 2021, 12:49 PM

#

@alpine sable So, it says the polygons are regular polygons, right?

alpine sable May 21, 2021, 12:49 PM

#

Yeah

#

Both regular polys

oak chasm May 21, 2021, 12:50 PM

#

OK, so in regular polygons, all the angles are the average angle.

#

So, see the bottom right angle in the pentagon?

alpine sable May 21, 2021, 12:50 PM

#

Yeah

ocean sealBOT May 21, 2021, 12:50 PM

#

Chai T. Rex

alpine sable May 21, 2021, 12:50 PM

#

Okay done

oak chasm May 21, 2021, 12:51 PM

#

You see how that angle and x add up to the bottom right angle in the octagon?

alpine sable May 21, 2021, 12:51 PM

#

-90°

oak chasm May 21, 2021, 12:51 PM

#

What?

alpine sable May 21, 2021, 12:51 PM

#

?

#

#

To get that corner

oak chasm May 21, 2021, 12:51 PM

#

Hold on.

#

You see how the bottom right angle in the octagon minus the bottom right angle in the pentagon is the x angle?

alpine sable May 21, 2021, 12:52 PM

#

Wait nvm nvm

polar whale May 21, 2021, 12:52 PM

#

Dude I answered it

alpine sable May 21, 2021, 12:52 PM

#

I'll try to solve it

#

I think i got it

polar whale May 21, 2021, 12:52 PM

#

#help-6

#

Pls Don't multi post questions

alpine sable May 21, 2021, 12:53 PM

#

@polar whale sorry

polar whale May 21, 2021, 12:53 PM

#

It's ok

oak chasm May 21, 2021, 12:54 PM

#

@polar whale You used the wrong formula. See https://en.wikipedia.org/wiki/Regular_polygon#Angles.

#

@alpine sable What did you get?

polar whale May 21, 2021, 12:55 PM

#

Oh

#

Ohk

#

Sry

rapid condor May 21, 2021, 12:55 PM

#

#

Can anyone help me with this...I'm stuck with calculation of PI (particular integral)??

oak chasm May 21, 2021, 12:55 PM

#

@rapid condor Sorry, channel is busy.

#

@polar whale It's like triangle is 180 degrees, and you add 180 degrees for each additional side.

#

That's how I remember it, at least.

alpine sable May 21, 2021, 12:56 PM

#

@oak chasm so

#

135° - 108°?

oak chasm May 21, 2021, 12:57 PM

#

Right.

alpine sable May 21, 2021, 12:57 PM

#

And u get the lower right corner?

#

Alright i think i got it I'll tell u and tell me if it's correct or not

oak chasm May 21, 2021, 12:58 PM

#

You get x:

#

Click to zoom in.

alpine sable May 21, 2021, 12:58 PM

#

Yeah

oak chasm May 21, 2021, 12:58 PM

#

See the angles I marked?

alpine sable May 21, 2021, 12:58 PM

#

I see them

oak chasm May 21, 2021, 12:58 PM

#

135 for the octagon corner. 108 for the pentagon corner.

#

OK, so the big angle minus the small angle leaves x left over.

alpine sable May 21, 2021, 12:59 PM

#

So 27°

oak chasm May 21, 2021, 12:59 PM

#

Right.

alpine sable May 21, 2021, 12:59 PM

#

Okok thank u

polar whale May 21, 2021, 12:59 PM

#

oak chasm <@!620634206003003392> It's like triangle is 180 degrees, and you add 180 degree...

Yea I understand The concept probably messed up the formula. Thx for rectifying

oak chasm May 21, 2021, 12:59 PM

#

No problem.

ocean robin May 21, 2021, 1:03 PM

#

can anyone hellp me with the laplace transform of

#

we know that

fervent holly May 21, 2021, 1:34 PM

#

how would i go about doing this?

sly mantle May 21, 2021, 1:34 PM

#

ocean robin can anyone hellp me with the laplace transform of

it helps to use a rule for the transform of a derivative

alpine sable May 21, 2021, 1:35 PM

#

fervent holly how would i go about doing this?

Try s=ut+1/2 at^2.

fervent holly May 21, 2021, 1:35 PM

#

its quadratics

alpine sable May 21, 2021, 1:37 PM

#

Use the quadratic formula too.

#

I guess

fervent holly May 21, 2021, 1:37 PM

#

factoring / quadratics

alpine sable May 21, 2021, 1:38 PM

#

fervent holly factoring / quadratics

One min pls

#

Can I take g=10m/s^2

#

?

fervent holly May 21, 2021, 1:39 PM

#

idk what that means im in grade 10 man

alpine sable May 21, 2021, 1:39 PM

#

fervent holly idk what that means im in grade 10 man

Hmm?

#

This question is based on it man

#

The acceleration due to gravity??

#

Hi

#

Ok

#

I will try

fervent holly May 21, 2021, 1:41 PM

#

its not based on gravity whatsoever

alpine sable May 21, 2021, 1:41 PM

#

fervent holly its not based on gravity whatsoever

You are throwing it from the top of a buullding

fervent holly May 21, 2021, 1:41 PM

#

its based on the trajectory of a parabola

alpine sable May 21, 2021, 1:42 PM

#

Oh ok wait a min pls. Is it a test ??

#

Oh ok

sly mantle May 21, 2021, 1:42 PM

#

@fierce shoal it's a graded quiz?

alpine sable May 21, 2021, 1:42 PM

#

fervent holly its based on the trajectory of a parabola

Then also you need it. Gravity is involved. + one more velocity

#

Sorry but we can't help in quizzes

fervent holly May 21, 2021, 1:46 PM

#

its not a gravity question

alpine sable May 21, 2021, 1:47 PM

#

fervent holly its not a gravity question

Then sorry i dont know what to do then.

#

Help

alpine sable May 21, 2021, 1:48 PM

#

fervent holly its not a gravity question

Oh sorry i misread the q

fervent holly May 21, 2021, 1:52 PM

#

its okay i figured it out!

#

thanks anyway!

lament swallow May 21, 2021, 1:52 PM

#

can someone help me find the surface area?

#

magic lichen May 21, 2021, 1:55 PM

#

You could start by drawing the three distinct surface pairs and labeling their dimensions from the picture. Then compute the area of each and finally add them

alpine sable May 21, 2021, 1:55 PM

#

lament swallow

Use the formula for the area of a trapezium, and one for parallelogram and one for rectangle

#

Can someone help please

lament swallow May 21, 2021, 1:55 PM

#

alpine sable Use the formula for the area of a trapezium, and one for parallelogram and one f...

okay

alpine sable May 21, 2021, 1:56 PM

#

No sorry not the parallelograk

cunning fractal May 21, 2021, 1:57 PM

#

#

i need help

#

FOR DILATIONS

magic lichen May 21, 2021, 1:58 PM

#

@alpine sable For each inequality it helps to figure out where it intersects the x and y axes. Do you know how to figure that out?

alpine sable May 21, 2021, 2:00 PM

#

Yeah

fervent holly May 21, 2021, 2:00 PM

#

Would you know how to solve this? @alpine sable

magic lichen May 21, 2021, 2:01 PM

#

Then since these are linear, you connect the points by a line. Finally figure your which side of the line to make “off-limits” based on the inequality

alpine sable May 21, 2021, 2:01 PM

#

For the first equation I got x≥ −y+35

magic lichen May 21, 2021, 2:02 PM

#

What value of y gives you the value of x when the function touches the x-axis?

alpine sable May 21, 2021, 2:03 PM

#

I'll find out now

#

@magic lichen I don't know how to graph y≥−x+35

magic lichen May 21, 2021, 2:03 PM

#

Seems like a trick question. It’s actually simple though so don’t psych yourself out

alpine sable May 21, 2021, 2:04 PM

#

fervent holly Would you know how to solve this? <@456226577798135808>

Use the formula of the area of a square. Then first find the area of the bigger one then the area if smaller one. Then subtract. Then, tell what you get

magic lichen May 21, 2021, 2:04 PM

#

Turn it into an equality first then worry about the inequality layer. Graph x +y =35 first

#

Then when you make it an inequality, you only have to figure out which side of the graph (the line in this case) the inequality allows the function to visit. The other side can be scribbled out or shaded to indicate its “off limits”

fervent holly May 21, 2021, 2:08 PM

#

for the factored form i got (3x+2)(x+4)

magic lichen May 21, 2021, 2:08 PM

#

Sort of like

#

You need to figure out where the intercepts are from the function then figure out which side to shade as off-limits

alpine sable May 21, 2021, 2:25 PM

#

Yeah I shaded @magic lichen

#

I'm still stuck on the first equation

trail ruin May 21, 2021, 2:33 PM

#

Hey can someone quickly help me?
At Qdoba, 40% of customers choose a burrito instead of a bowl or tacos. Calculate the probability that 5 of the next 12 customers get a burrito.

Round to 3 decimals

#

The way I tried to do this was very wrong

trim current May 21, 2021, 2:35 PM

#

Yo guys can someone dm me

#

If they can help me out, its some algebra trig stuff. Thanks

woeful pulsar May 21, 2021, 2:35 PM

#

there are too many questions at the same time

trim current May 21, 2021, 2:36 PM

#

woeful pulsar there are too many questions at the same time

Yeah lol

woeful pulsar May 21, 2021, 2:36 PM

#

probably go find a channel where the last timestamp is quite a bit ago

rare oyster May 21, 2021, 2:37 PM

#

can you guys help me with my homework if okay with you i want to hop in a vc cause i cant explain it

trim current May 21, 2021, 2:37 PM

#

woeful pulsar probably go find a channel where the last timestamp is quite a bit ago

Yeah, I got some algebra trig stuff that I did work on but Wana check so I don't get it wrong

#

Get what I mean?

#

Yeah just want to make sure every answer is right with someone smart, like everyone here

woeful pulsar May 21, 2021, 2:39 PM

#

trim current Yeah just want to make sure every answer is right with someone smart, like every...

can you find a way to plug back in your answer to verify?

#

it's my go-to method to verify my own work

spice violet May 21, 2021, 2:40 PM

#

Good evening,I needed a small help,can anyone pls read the statements tht I have underlined,I am only 10th grade pass,Idk how to read those mathematical notations,by reading I mean for example a statement-cotan=45°,so by typing what I read the statement as "complementary tangent is equal to 45 degrees"
So in case I was the one who didn't know trigonometry and 360° system,asking abt reading this statement,I can then google "complementary tangent" and "degree system",and learn abt it

Screenshot_2021-05-21-17-47-44-215_mark.via.gp_1_1.jpg

woeful pulsar May 21, 2021, 2:40 PM

#

this looks very specific domain knowledge

#

I think this needs more context here

#

are you sure you attached the right picture?

spice violet May 21, 2021, 2:41 PM

#

It's the google mu zero research paper

atomic plover May 21, 2021, 2:41 PM

#

i need help pls

#

may i send the question?

spice violet May 21, 2021, 2:42 PM

#

woeful pulsar are you sure you attached the right picture?

Um can u elaborate a little bit

#

U mean these functions are interconnected to some previous slides?

woeful pulsar May 21, 2021, 2:43 PM

#

probably

echo pike May 21, 2021, 2:43 PM

#

#

can I have some help with my homework?

spice violet May 21, 2021, 2:43 PM

#

One sec I will swap all slides

woeful pulsar May 21, 2021, 2:44 PM

#

echo pike

what have you tried so far, which parts can you find the area of?

echo pike May 21, 2021, 2:44 PM

#

well the answer I have right now is 954 but Im not sure

woeful pulsar May 21, 2021, 2:45 PM

#

echo pike well the answer I have right now is 954 but Im not sure

how did you get that?

alpine sable May 21, 2021, 2:45 PM

#

Yep it's right I guess (954.56)

spice violet May 21, 2021, 2:46 PM

#

@woeful pulsar hey mate is it fine if I link the drive link

alpine sable May 21, 2021, 2:46 PM

#

So it should be 955*

woeful pulsar May 21, 2021, 2:46 PM

#

spice violet <@104219409991626752> hey mate is it fine if I link the drive link

probably ig

spice violet May 21, 2021, 2:46 PM

#

https://drive.google.com/file/d/1nwRR...

woeful pulsar May 21, 2021, 2:46 PM

#

because that's the only source we'll be able to get

woeful pulsar May 21, 2021, 2:46 PM

#

spice violet https://drive.google.com/file/d/1nwRR...

looks like you didn't copypaste the full link

spice violet May 21, 2021, 2:47 PM

#

https://www.youtube.com/redirect?event=video_description&redir_token=QUFFLUhqbWVKaW1ZS1h6LVJERUF5aG9zZ0FOams3TXpHQXxBQ3Jtc0tuUER6aVNQTUtBSkU2MGdvWkM3NGl5amNXS1ktS01EV0dEWW1qYl9hUlA4VnJONFJTRkpQMzByc3NGY1RaSEFRY25HZ3d6MnJCTWt6anFTNVE3OUhzcDBTMHVwT21SMlZZYnIzTUR5amROQXZzQTNJMA&q=https%3A%2F%2Fdrive.google.com%2Ffile%2Fd%2F1nwRRQ3uWXDqX6eth4cHi96OYJ2wuW2Af%2F

spice violet May 21, 2021, 2:47 PM

#

woeful pulsar looks like you didn't copypaste the full link

Sowiieee

#

Did it work?

woeful pulsar May 21, 2021, 2:48 PM

#

i guess

#

the start talks about monte carlo tree search

spice violet May 21, 2021, 2:49 PM

#

Yup

#

Pg 35 it srts

woeful pulsar May 21, 2021, 2:50 PM

#

so that slide you gave is where they defined the functions

spice violet May 21, 2021, 2:50 PM

#

Yh frm pg 35

woeful pulsar May 21, 2021, 2:50 PM

#

it was quite blurry so I didn't get the entire context

spice violet May 21, 2021, 2:51 PM

#

Wait I will link the video u can then get to the drive link in the description ,it would probably be clear thn

woeful pulsar May 21, 2021, 2:51 PM

#

so p and v are policy and value I guess

#

yeah it doesn't seem like there's anything to do with trigonometry

spice violet May 21, 2021, 2:52 PM

#

woeful pulsar yeah it doesn't seem like there's anything to do with trigonometry

Nah I meant something else with the message

woeful pulsar May 21, 2021, 2:52 PM

#

oh

spice violet May 21, 2021, 2:52 PM

#

I meant tht by reading the function you would type them like this as an example

woeful pulsar May 21, 2021, 2:52 PM

#

okay so what they are trying to do here is define f, g, h as how they would write it our rigourously

spice violet May 21, 2021, 2:52 PM

#

Yh

#

I mean how to read those functions

woeful pulsar May 21, 2021, 2:53 PM

#

basically they are introducing the notation for input and output for those functions

#

importantly, the arity, the specific inputs and the specific outputs

spice violet May 21, 2021, 2:54 PM

#

At the side of dynamics in the pic how do I read tht 0 with stomach slashed

#

What does it represent

woeful pulsar May 21, 2021, 2:55 PM

#

spice violet At the side of dynamics in the pic how do I read tht 0 with stomach slashed

oh, theta?

#

$g_\theta(s^{k-1}, a^k)=r^k,s^k$

ocean sealBOT May 21, 2021, 2:56 PM

#

811ττερραlE

woeful pulsar May 21, 2021, 2:56 PM

#

you mean here?

spice violet May 21, 2021, 2:56 PM

#

Yes mate

#

Wht topic in maths do I need to google to be able to read these types of equations

woeful pulsar May 21, 2021, 2:56 PM

#

hard to pinpoint a topic

#

remember the notation where they write $s^{k-1}$ is not exponentation

ocean sealBOT May 21, 2021, 2:56 PM

#

811ττερραlE

woeful pulsar May 21, 2021, 2:57 PM

#

it's the k-1 th value of a sequence s

spice violet May 21, 2021, 2:57 PM

#

🤔,I actually thought it as s raised to power k minus 1

woeful pulsar May 21, 2021, 2:57 PM

#

yeah it's probably not that

spice violet May 21, 2021, 2:58 PM

#

woeful pulsar hard to pinpoint a topic

Wht topics thn?

woeful pulsar May 21, 2021, 2:58 PM

#

have you read up monte carlo tree search?

#

I think understanding that can help with reading the rest

spice violet May 21, 2021, 2:58 PM

#

Yh I googled in morning got a little grasp

timid flint May 21, 2021, 2:58 PM

#

A(x) = 200+10x, B(x)= 800+ 5x. How come this formula is right? I dont Get it

spice violet May 21, 2021, 2:59 PM

#

woeful pulsar I think understanding that can help with reading the rest

Ok cool I will update aftr I read tht

#

Ty fr help mate

#

May god bless you

woeful pulsar May 21, 2021, 3:00 PM

#

have a magically enchanted day

magic lichen May 21, 2021, 3:00 PM

#

I think you are missing a substantial amount of assumed mathematics to understand the mu zero paper. It’s primarily probabilities and machine learning but it will expect you to understand linear algebra and the notation typically used in that field at the very least

idle wagon May 21, 2021, 3:01 PM

#

This channel being used?

magic lichen May 21, 2021, 3:01 PM

#

But I appreciate your effort nonetheless! Just focus on the fundamentals and over time it will make more sense

spice violet May 21, 2021, 3:02 PM

#

magic lichen I think you are missing a substantial amount of assumed mathematics to understan...

Um can u pls pinpoint specific topics,fr example there r many topics in statistics

#

If it's possible 👉👈 @magic lichen

#

I mean if u have time

alpine sable May 21, 2021, 3:03 PM

#

Can someone give a hand with physics? (If it's possible, I won't ask you to do my exercise but just go suggest me something because I'm stuck)

magic lichen May 21, 2021, 3:04 PM

#

It’s primarily probabilities and probabilistic inference, which will use linear algebra and calculus at times. I recommend you start learning classical machine learning and figure out what core mathematics are confusing, figure those things out then move on to deep learning only when you are comfortable

#

For example, understand how linear regression and logistic regression work before you tackle the alpha go stuff

#

There’s a whole field of other examples that lie between the basics and the cutting edge being published by experts. Don’t be afraid to take the journey. Rushing to the very complex end will only confuse and discourage most people

spice violet May 21, 2021, 3:08 PM

#

Ok cool,I have taken note,I think by a rough estimate it will take me around 3 weeks to get through the things u listed, before I had a plan like if I am able to make sense of every term mentioned in the mu zero paper and then keep googling and learning them,I would be able to get through the paper in some weeks, but makes more sense now

magic lichen May 21, 2021, 3:09 PM

#

3 weeks! That would be quite impressive! I don’t know your level but please don’t be afraid to take your time

spice violet May 21, 2021, 3:10 PM

#

Ok lol

magic lichen May 21, 2021, 3:12 PM

#

Haha, You really do need to understand these subjects if you want to contribute to the worlds collective knowledge of what’s possible. It’s okay that it can take a long time to really understand what’s going on. I mean the google researchers that developed the method have probably spent at least 5+ years on this field of machine learning alone.

spice violet May 21, 2021, 3:12 PM

#

0_0

magic lichen May 21, 2021, 3:13 PM

#

Not to mention the 15+ years of fundamental math leading to that

spice violet May 21, 2021, 3:13 PM

#

Can I add u as a friend if you don't mind?

next sequoia May 21, 2021, 3:14 PM

#

i didnt understood half of what you said, can you teach me english?

spice violet May 21, 2021, 3:14 PM

#

I mean I won't be bombing u with questions but probably just ask some topics

spice violet May 21, 2021, 3:15 PM

#

next sequoia i didnt understood half of what you said, can you teach me english?

Bro just use Google translate to translate in ur language

next sequoia May 21, 2021, 3:15 PM

#

jk i did understood but had no context at all

magic lichen May 21, 2021, 3:17 PM

#

Haha, I don’t mean to offend but It would be best if you lean in this community since there are very many experienced, intelligent, and helpful people here already. I’m afraid I wouldn’t be able to respond in a timely and consistent manner

spice violet May 21, 2021, 3:17 PM

#

Um...ok..

spring needle May 21, 2021, 3:17 PM

#

i dont understand this one

magic lichen May 21, 2021, 3:18 PM

#

spice violet Um...ok..

Besides it’s better to ask in public so everyone benefits from the discussion

spice violet May 21, 2021, 3:18 PM

#

Sure

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Next question probably aftr weeks

atomic plover May 21, 2021, 3:19 PM

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A golf ball is hit and stays in the air for 6s. The ball reaches a maximum height of 40m. Find an equation that models the flight of the golf ball. Write the equation in standard form.

winged quail May 21, 2021, 3:21 PM

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what does u2 mean in this situation

alpine sable May 21, 2021, 3:24 PM

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wild gale May 21, 2021, 3:26 PM

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Bruh

rich veldt May 21, 2021, 3:26 PM

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what is cosa

alpine sable May 21, 2021, 3:35 PM

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A latin colony founded in southwestern Tuscany in 273 BC

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@rich veldt

rich veldt May 21, 2021, 3:36 PM

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funny

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hahba

sage rapids May 21, 2021, 3:42 PM

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rich veldt what is cosa

Cos(alpha)= 5/(√34)

rich veldt May 21, 2021, 3:44 PM

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@sage rapidsthankss

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i have 2 more question

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can u help me?

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the question ask cot(ACB) =?

fathom matrix May 21, 2021, 3:48 PM

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this channels free since hes gettin ghelp in another so.

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|x+y-2pi-e|=|x-2pi+y-e| <= |x-2pi| + |y-e|

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|x-2pi| => |x| - 2pi and |y-e| => |y| -e

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this is all i have rn and im stuck

sage rapids May 21, 2021, 3:49 PM

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3 option d

hearty summit May 21, 2021, 3:50 PM

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sage rapids 3 option d

yo do you mind checking over my work?

sage rapids May 21, 2021, 3:51 PM

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hearty summit yo do you mind checking over my work?

Yes I can, show me

hearty summit May 21, 2021, 3:52 PM

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I just wanted to see if this was drawn properly \

hearty summit May 21, 2021, 3:52 PM

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sage rapids Yes I can, show me

thanks

glass lichen May 21, 2021, 3:52 PM

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$\abs{(x+y)-(2\pi + e)}=\abs{(x-2\pi)+(y-e)}\leq \abs{x-2\pi}+\abs{y-e}<\frac{2}{1000}<\frac{1}{100}$

glass lichen May 21, 2021, 3:52 PM

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hearty summit

channel is in use

hearty summit May 21, 2021, 3:52 PM

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wow ok

fathom matrix May 21, 2021, 3:53 PM

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yep this is what i have

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do i ahve to do something with supremum of x and y

ocean sealBOT May 21, 2021, 3:54 PM

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Mosh

fathom matrix May 21, 2021, 3:54 PM

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i dont get that last step

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howd u know that |x-2pi| + |y-e| < 2/1000

glass lichen May 21, 2021, 3:55 PM

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each of the abs value are less than 1/1000

fathom matrix May 21, 2021, 3:55 PM

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right

glass lichen May 21, 2021, 3:55 PM

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so their sum must be less than 1/1000 + 1/1000

fathom matrix May 21, 2021, 3:55 PM

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okay

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and

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why were u allowed to say that thats < 1/100

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is it cuz of the order on the reals

glass lichen May 21, 2021, 3:56 PM

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cause 1/100 - 1/500 >0

fathom matrix May 21, 2021, 3:56 PM

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like ik why in terms of common sense but

glass lichen May 21, 2021, 3:56 PM

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so 1/100>1/500

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if you're less than say 6, you're obviously less than 10

fathom matrix May 21, 2021, 3:57 PM

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right

dry vine May 21, 2021, 3:58 PM

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Can someone quickly look at this

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plz

glass lichen May 21, 2021, 3:59 PM

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ok i looked at it, have a nice day

dry vine May 21, 2021, 3:59 PM

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plz

dry vine May 21, 2021, 3:59 PM

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glass lichen ok i looked at it, have a nice day

if it is right

glass lichen May 21, 2021, 3:59 PM

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looks like a test

dry vine May 21, 2021, 3:59 PM

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no it is a assignment

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tests are 25 questions

sage rapids May 21, 2021, 3:59 PM

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hearty summit I just wanted to see if this was drawn properly \

You should try to keep the ratio between the sides, it's 10:15, or you can say 2:3, so if u draw PR of 2cms, u should nearly draw QP of 3cm

glass lichen May 21, 2021, 4:00 PM

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so then what's preventing you to just check it yourself on a calculator. .?

dry vine May 21, 2021, 4:00 PM

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It does not work like that plz I really need help

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is this right