help-23

[torpid fable]

Show its bijective or find another linear map that works as a left/right inverse

[junior smelt]

(As you're mapping from the 2x2 matrices to the 2x2 matrices, you only need to check one of injectivity or surjectivity to get bijectivity)

[torpid fable]

See if 2X-X^T=Y has a solution for all Y

[junior smelt]

(you may potentially find checking injectivity easier, and can check to see that as you have a linear map, whether the kernel [things that get sent to 0] is just {0})

(pretty much yep, if the only solution to $T(X) = 2X - X^T = 0$ is $X = 0$, then you have your trivial kernel and your injectivity!)

[flat frigate]

@junior smelt

[junior smelt]

And P2 being polynomials of degree 2 or less? If so, yes, that's a consequence of rank-nullity, if you've seen it

Not quite, no, at best if you have your linear map injective, you wouldn't have it surjective as the dimension of the image would be strictly less than that of the "whole space"

Yep (the idea is that T : V -> W injective means ker(T) = {0}, so null(T) = 0 (dimension of kernel),
and as rank nullity states null(T) + rank(T) = dim(V), you'd get rank(T) = dim(V), but then the image is a subspace of W, and W has the same dimension as V, so the image of T must be the whole of W)

You can do those in reverse as well

[safe radish]

Channel closed

Closed by @bitter loom

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[sour gull]

Sorry this is so simple but I can’t seem to figure why the 1/4 is wrong considering 2^-2 is 1/4

[delicate sphinx]

Because 1/(1/a) = a

[sour gull]

Is it basically the keep change flip thingy

[delicate sphinx]

Pretty much

1/4 is correct, I'm just assuming that the answer key did 1/(1/4) = 4 and has that in the numerator

[sour gull]

Oh yeah it did lol

okay tysms

.close

[safe radish]

Channel closed

Closed by @sour gull

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[idle fjord]

can someone hepl me with this calc question?

[idle fjord]

I don't need answers

but I do need a guide

<@&286206848099549185>

[lean otter]

wdym you need a guide

for explaining stuff?

[idle fjord]

like steps

idk how to tackle this question

like what should I first thing first

[idle fjord]

could you help me with this?

[lean otter]

sure

what is the question?

[idle fjord]

it's in the picture

[idle fjord]

here

[lean otter]

what is it asking?

[idle fjord]

represent the function by a power series

[idle fjord]

I don't know what to since there's the (x^2+1)

[lean otter]

wait so how do i help you

what do i help you with

[idle fjord]

with solving the problem?

[idle fjord]

do you know calc2?

.close

[safe radish]

Channel closed

Closed by @idle fjord

Use .reopen if this was a mistake.

[quiet plume]

If you know the power series for arctan (or can find it), then you can multiply it by (x^2 +1) and recover the coefficients by adding like terms

I think that's usually the way you'd go about this once you know a few of the common power series @idle fjord

[lean otter]

oh you wanted the coefficients of the power series

my bad lmao

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[safe radish]

@twilit sluice Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[modern bloom]

I want to ask why 2k-1/n is the x here and how to understand it by drawing
P.s. I know basic definitions I know Riemann i know integrals etc.

[humble fossil]

I think it’s bc (2k-1)/n is equal to x_k*

and u plug in x_k* to every x in a function

[safe radish]

@modern bloom Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[pale pecan]

I have this question where i need to use Taylor's Theorem, and i don't understnad the phrasing of this question too well. for 3B where it asks to find the radius and interval of convergence, how can i find the radius and interval of a number that wasn't pre set? and how can i find the power series reperesentaion of f(x) where the functoin isn't given?

[safe radish]

@pale pecan Has your question been resolved?

[safe radish]

@pale pecan Has your question been resolved?

[safe radish]

@pale pecan Has your question been resolved?

[safe radish]

@pale pecan Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[high grove]

can anyone help me solve this problem

this is in partial derivative

[teal thicket]

the function is e^x right?

[high grove]

no

[teal thicket]

ohh..

[high grove]

how do i approach this

this is meant to be the answer

but i dont get it

[safe radish]

@high grove Has your question been resolved?

[high grove]

yea

[safe radish]

Channel closed

Closed by @high grove

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[left tinsel]

Can someone tell me what went wrong

[left tinsel]

In this equation

@teal thicket

[teal thicket]

hello!

[left tinsel]

Yoyo 😄

[teal thicket]

IVE BEEN SUMMONED

explain me what you did

[left tinsel]

Yeah my hero!

Well I basically put all the numbers in the formule

First I did 2-3

Then 3-1

And then the equation 1 - equation 2

To find b

[teal thicket]

alright

Correct

[left tinsel]

I got b = 3 but answer is b = 5

[teal thicket]

give me 5 mins…

[valid olive]

you know about elimination method ?

[left tinsel]

Could you explain

[valid olive]

like can you see those 2 equations

in 2nd and 3rd line

[left tinsel]

Yea

[valid olive]

1=a(b-7)..........

yeah so

in elimination method

we try to remove a variable

to make it easy for solving

by cancelling out

what I mean is

subtract the third one from second one

[left tinsel]

So 0=9a+3b+c+16 - 0=49a+3b+c-16

[valid olive]

you don't have to do it like that

try to make it more simple

like can you see that -4 becoming +4

ab getting canclled out

[left tinsel]

yes

[valid olive]

so what are we left with then

on both sides

[left tinsel]

5= a(b-10)

[valid olive]

wrong

multiply the a first

that will help

then solve

[left tinsel]

1=ab-7a

-4=ab+3a

[valid olive]

1 = ab - 7a
-4 = ab + 3a

yeah

now see and tell what do you get

on subtracting

[left tinsel]

i see the method yeah

but

what formule is this

[valid olive]

not a formula

[left tinsel]

y=a(x-r)(x-s)?

[valid olive]

but method

[left tinsel]

since the (-1,0) was a zero point you can fill it in like

y=a(x+1)(

[valid olive]

you are referring to the ques ?

I though those equations

[left tinsel]

i meant how do we fill up the method

so we got y=a(x+1)(x+b)

[valid olive]

I don't really know what it is

[left tinsel]

what means b ?

in my class we learnt this formulla for zero point and extra point

a(x-r)(x-s)

but in the answer book we use a(x-r)(x+b)

[valid olive]

most prob that r is -1 here

so it's y = a(x+1)(x+b)

about that b part i have no idea

[left tinsel]

Yea

[valid olive]

try to look for exmples related to it

or more sol where it is used

it will give you an idea of what it is

or consult with your teachers if any

[left tinsel]

Oh wait I think I got it

[valid olive]

[left tinsel]

I still don’t get the +b but I’ll just try to keep it in my mind if I get one zero point for the exam and 2 others points

.cloes

.close

[safe radish]

Channel closed

Closed by @left tinsel

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[midnight sail]

This is a review question for are class, my teach says that its not imaginary numbers and you don't use the quadratic equation but whenever I do it I get imaginary

[frozen marlin]

yeah the answers are complex

check the question again

[left tinsel]

i got - 12 / t^2 - t - 2

[safe radish]

@midnight sail Has your question been resolved?

[delicate sphinx]

Are you sure you wrote the problem down correctly?

[safe radish]

@midnight sail Has your question been resolved?

Channel closed

Closed by @midnight sail

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[raven veldt]

I need to find the next largest permutation of these integers. I am pretty sure what I currently have is wrong

[cold relic]

Largest permutation as in permutation of digits for which the resulting integer is the largest?

[raven veldt]

I think it needs to be the next one that is larger than the current

I am not exactly sure about the wording of the question:
It just says next larger permutation after 217345689

[cold relic]

Ah okay

So I’m not sure about your reasoning, as I have trouble understanding it, but your result should be right

[raven veldt]

Oh so my answer is correct then?

[cold relic]

As far as I can see, yes

[safe radish]

@raven veldt Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[rugged surge]

A person has a coin. he moves towards left if its a head and right if its a tail. he flips the coin 4 times. what is the probability that at the end, his displacement is 0

[rugged surge]

i tried writing down all the possibilities

and got the right answer

but is there a more easier way to do it?

can we apply binomial here?

[kind fractal]

Hello, I think we can. You need the number of heads and rights to be the same, so left and right movements cancel each other

both probabilities are the same

so you need a success of 2 when p=0.5 (?

[green fern]

This remember me about the drunk walker

[rugged surge]

yeaaa its a random walk question

[rugged surge]

yeaa so something like 4c2 * 0.5^2*0.5^2 works right

[kind fractal]

yes

[kind fractal]

also this is not necessary

in this case, where each step has the same length

and the number of trials is even

xd

[rugged surge]

fair

thankyouu

.close

[safe radish]

Channel closed

Closed by @rugged surge

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[ionic oar]

Can anyone give me the formulas for the following:

• Calculate % X number of Z number
• Calculate the increase in % from X to Z number
• Calculate the decrease in % from X to Z number
• How to find if for example if someone goes on sale by X%, and find new price
• How to find if for example if a X number went on sale and find how many x% was the price discounted

[ionic oar]

ALL.

[safe radish]

The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.

[frozen marlin]

jeez

[frozen marlin]

jesus man chill out; every time someone tries to help you this happens
calm down

[safe radish]

As a helper, please do not give out answers that could be copied as a homework solution. Have the student work through the problem themselves and guide them along the way.

[lean otter]

ah my bad

true

[ionic oar]

youre allowed @lean otter

[frozen marlin]

wtf?

you don't just

decide

[ionic oar]

stop rage baiting

[frozen marlin]

whether someone gets to break the rules?

[frozen marlin]

excuse me?

[ionic oar]

u heared it

[frozen marlin]

yes but i didn't quite understand it

expand upon it, will you

this is perhaps the fourth time this has happened within the last week siryeet

every time you open a channel you treat your helpers with disrespect

and those are the times that i have encountered you

[ionic oar]

i didnt?

ur the one trolling now

[frozen marlin]

oh you most certainly did

[ionic oar]

.close

[safe radish]

Channel closed

Closed by @ionic oar

Use .reopen if this was a mistake.

[frozen marlin]

oooooookay then

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[hollow prism]

hello so i was solving this inexact differential equation and in the following step i had to integrate 2/x dx and that gives 2 ln| x | + C so i was wondering where did he get that x^2 from?

[frozen marlin]

2 ln x = ln(x^2)

[hollow prism]

so e^ln|x^2| = x^2 correct?

[safe radish]

@hollow prism Has your question been resolved?

Channel closed

Closed by @hollow prism

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[north robin]

How do I start

[charred saffron]

ur gonna use the basic trig formulas

remember SOH CAH TOA

the angle we have is 51°

@north robin

[north robin]

Can you tell me how to start?

Like the formula

@charred saffron

[delicate sphinx]

You should apply that

[north robin]

Only this?

I thought it would be more complicated than that

[delicate sphinx]

Pretty much

[north robin]

And the angles only to 189?

180* lol

[delicate sphinx]

Yes, sum of angles in a triangle equals 180

[north robin]

Let me try rq

Could I use either angle for both?

[safe radish]

@north robin Has your question been resolved?

[safe radish]

@north robin Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[wet frost]

is it possible to find the bases here?

[dusty fiber]

not with only the given information

you would need something like an angle measure or the radius of the circle

[wet frost]

I completely forgot

my bad

the radius is 12

[dusty fiber]

I believe its possible but I haven't worked through it to know the specifics of how to do it

[wet frost]

I guess I can make something out of this

[narrow ridge]

i think you could use 7-24-25 triangle

[wet frost]

I'm not too sure where to use the hypotenuse for tho

[narrow ridge]

draw a line from B to AD such that its perpendicular to AD

[narrow ridge]

we can call that point H

[narrow ridge]

AH = 7

[narrow ridge]

no i mean directly down

[wet frost]

oh yea

you're right

[wet frost]

if you drop a perpendicular straight down, it's equal to the diameter right

[narrow ridge]

yes

[wet frost]

we can do the same for the other side right

just drop a height

[narrow ridge]

ye

[wet frost]

BC = HK

[narrow ridge]

x = 24

[wet frost]

since it's a square right

[narrow ridge]

yes

90 degree angles

[wet frost]

ironically

in the answerkeys

it's 32 and 18

[narrow ridge]

huh

[wet frost]

geometry moment 🥲

[narrow ridge]

not a square then

oops

bad assumption

[wet frost]

AD and BC are parallel so

I suspect similarity?

[dusty fiber]

rectangle not square

[narrow ridge]

ye

[wet frost]

yea you're right

is BH considered a chord as well?

nevermind that's silly

[narrow ridge]

secant

[wet frost]

if we connect radius with BC

would it cut it in half

or rather a height

[narrow ridge]

yes

it should

since the circle is inscribed

[wet frost]

not sure what to do after that

I do see similarity but

kind of useless

this looks like a square

yeah no

[narrow ridge]

nope

[wet frost]

🥲

[narrow ridge]

radius of circle

😭

[wet frost]

isn't it atleast a rectangle

[narrow ridge]

ig

[wet frost]

oh wait

this isnt gonna work

yeah this looks stupid

[narrow ridge]

ohh

@wet frost

[wet frost]

yea

[narrow ridge]

the trapazoid

has a cricle in it

[wet frost]

yea

[narrow ridge]

tangetial trapazoid

AB + CD = BC + AD

or

[wet frost]

oh

[narrow ridge]

50 = x + x+ 7 + 7

[wet frost]

🤣

you right

[narrow ridge]

50 = 2x + 14

😭

2x = 36
x = 18

[wet frost]

4 sided figures are drawn in circles if the side's sum are the same right

yeaaah that makes sense

thank you for the help 👍

would have been stuck on this for the next 30 minutes

[narrow ridge]

👍

[wet frost]

.close

[safe radish]

Channel closed

Closed by @wet frost

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[true echo]

y = 5x + 450

[true echo]

y = 10x + 300

ik this but

how do i graph it on a ti-84 calc

and how do i use the window properly to show this intersection

[fathom adder]

y is the same as f(x)

[true echo]

wdym

[fathom adder]

In your ti

You have probably something written as f(x) = ... in the graph part no ?

[true echo]

no

im wondering

in the window part

how do i adjust the numbers so i can see the intersection clearly

[fathom adder]

Oh like scale ?

To zoom etc ?

[true echo]

yeah

yeah

[fathom adder]

Let me see rq

[true echo]

ok

ty

[fathom adder]

https://youtu.be/f5tGbO0RDnQ?si=qCdsLqPLAcG_abtX

[true echo]

.close

[safe radish]

Channel closed

Closed by @true echo

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[short bridge]

$$5\ 200\bullet\frac{1-\left(\frac{26}{25}\right)^4}{1-\frac{26}{25}}$$
Hi, I was wondering what is the easiest and fastest way to solve this, I already did it and found the answer but I have to show my work and I don’t know how to solve it without getting excessively large numbers.

[short bridge]

$$5\ 200\bullet\frac{1-\left(\frac{26}{25}\right)^4}{1-\frac{26}{25}}$$

[flat frigate]

Etamenta

[vapid glen]

is that 5*200 or 5200

[short bridge]

5200

[vapid glen]

gotcha, also you might want to try using $a \cdot b$ or $a \times b$ for multiplication instead of the bullet, just more common to see.

[flat frigate]

Merosity

[vapid glen]

I'd probably try multiplying by 25^4 / 25^4 and factor the numerator as a difference of squares twice

idk if that's the fastest way but we can try to work out some tricks if that doesn't seem fast enough

[short bridge]

Ok.

[vapid glen]

that make sense or how do you feel about that, just throwing ideas out there

[short bridge]

I did the subtraction first

$$1-\frac{{26}^4}{{25}^4}$$

[flat frigate]

Etamenta

[short bridge]

$$\frac{{25}^4-{26}^4}{{25}^4}$$

[flat frigate]

Etamenta

[short bridge]

By the way, how do you factor the numerator as a difference of squares twice? I didn't understand that part.

[vapid glen]

$$134^25^2 * \frac{25^4- 26^4}{25^4-2625^3}$$
Just factoring loosely at first since I know a deck of 52 has 13 cards in each suit, then cancel out the $25^2$ out and the diff of squares (combined a few steps here maybe too many!)
$$134^2* \frac{(25^2 +26^2)(25- 26)(25+26)}{25^2-26*25}$$

[flat frigate]

Merosity

[vapid glen]

to be a bit clearer on diff sq twice: $$x^4-y^4 = (x^2+y^2)(x^2-y^2) = (x^2+y^2)(x+y)(x-y)$$

[flat frigate]

Merosity

[short bridge]

Ohh ok.

[vapid glen]

I probably shouldn't've distributed the 25 on the denominator there, but not too serious

since 25(25-26) cancels with the numerator (although it's not hard to simplify regardless as -1 lol)

the 25-26 part I mean, not the 25

[short bridge]

I should give the answer like that? I feel it's too complex.

[vapid glen]

no, I'd keep working at it

I just stopped to explain the difference of squares but

I feel like once it's broken down to there, it becomes easier to deal with

[short bridge]

I understand.

[vapid glen]

I don't really know what "solve it" means here

[short bridge]

A bit 🤣

[vapid glen]

I might be going in the wrong direction in all honesty!

[short bridge]

It gave me 22 081.6128

but it was after something like

[vapid glen]

I might have assumed you were trying to get it in the form integer/integer

[short bridge]

$$\frac{81\ 250\ 000-95\ 051\ 008}{-625}$$

[flat frigate]

Etamenta

[short bridge]

No 😕

[vapid glen]

If approximation is what you want there is a strange trick I think here

I'm thinking multiply by (25/26)^4 since 25/26 < 1. Then you can start computing an expansion with the geometric progression.

well, I really need more context because probably that's already too complicated sounding, is this for competition math or are you just trying to get better at computing things by hand without a calculator for fun or where does this problem actually come from?

[short bridge]

I have to find the sum of the first 4 terms of a geometric progression using that general term.

[vapid glen]

ah

that's why it's important to post the original question 😛

[short bridge]

And I got that

[short bridge]

Sorry, I thought the other was enough.

[vapid glen]

Can you post the full question actually with this

if you're allowed to use a calcuator then you probably are fine, but I'm not your teacher so I don't know what they want or what the question is specifically expecting. What you wrote without simplifying might even be sufficient.

[short bridge]

I think I should solve until the end.

But if those terms appear it will be very obvious that I used the calculator.

[vapid glen]

try emailing your teacher asking what they expect if the question doesn't specify, since they might just be testing to see if you know how to use the formula, not that you know how to grind out decimal places

[short bridge]

Ok, thanks. I was also wondering if I should work with decimals or fractions.

I tried both and I think the decimals are easier.

What do you suggest?

@vapid glen Sorry, me again, I have another question, what should I use to separate the decimals and what to separate the thousands?

My main language is spanish btw, I found that for decimals is the dot and for thousands just a space, is that right?

[vapid glen]

oh in english we usually use the , but sometimes people use a space that's true. Often times people don't do either honestly, so you're not going to confuse anyone by not putting it. But you do need the dot for the decimal

[short bridge]

Ok, thank you so much.

That was all.

[vapid glen]

de nada

[short bridge]

.close

[safe radish]

Channel closed

Closed by @short bridge

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dense hatch]

How would I have been able to determine those values?

If sin(A) = 8/17, how do I find out cos(A) = -15/17?

If sin(B) = -5/13, how do I find out cos(B) = -12/13?

[lean otter]

See that it gives the quadrants of the respective angles. One way to visualize it would be to draw the trigonometric circle and make respective right triangles in this way you could find The cosine of both angles by the identity sin²x+cos²x=1

[safe radish]

@dense hatch Has your question been resolved?

[dense hatch]

Ah okay thank you!

.close

[safe radish]

Channel closed

Closed by @dense hatch

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[solemn ravine]

i got here

but then i used bahagutpra's formula

https://artofproblemsolving.com/wiki/index.php/Brahmagupta's_Formula

but i calculated it wrong

essentially, my question is how do you determine if a quadrilaterial is cyclic

[safe radish]

@solemn ravine Has your question been resolved?

[solemn ravine]

actually yes i did find out

.close

[safe radish]

Channel closed

Closed by @solemn ravine

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[odd widget]

I’m losing my mind—please help! I have no idea which of these could be wrong

[odd widget]

I must be missing something obvious

(This is homework)

[tall spade]

A few hints: 1.) consider f(x) = x^3 at x=0. 2.) consider f(x)=-sqrt(x) at x=0.

and 4.) What if f is positive and rises quickly while g is negative and rises slowly, calculate some easy examples.

[odd widget]

Ohhhh okay—I’m sketching some graphs out and I think I follow

Arghhh

I appreciate the sanity check

That cleared it up, thank you!

.close

[safe radish]

Channel closed

Closed by @odd widget

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[red lava]

Can u help me do 0 divided by 0

[red lava]

I know its undefined but i still think there is a way

[frank horizon]

do you know what a wheel is

https://en.wikipedia.org/wiki/Wheel_theory

this is the only setting in which 0/0 is meaningful

[red lava]

no im very young lets say

Because no matter how many groups u put u still have zero

that doesnt make sense

alright then, thanks i got it

its just undefined

but the wheel is the only setting where 0 divided by 0 is meaningful

u can move this to availible

[frank horizon]

yeah, you can't assign a value to 0/0 if you are referring to 0 in the usual sense

[red lava]

alr thanks

[safe radish]

@red lava Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[celest musk]

A projectile is shot from the edge of a cliff 115 m above ground level with an initial speed of 65.0 m/s at an angle of 35.0° with the horizontal, as shown. (a) Determine the time taken by the projectile to hit point P at ground level. (b) Determine the distance X of point P from the base of the vertical cliff. At the instant just before the projectile hits point P, find (c) the horizontal and the vertical components of its velocity and (d) the magnitude of the velocity. (e) Find the maximum height above the cliff top reached by the projectile.

[celest musk]

honeslty i think if i can get the first steps im good from there

but i dont understand how to get (a)

[exotic bolt]

find inital

horizontal and vertical componets

[celest musk]

got that part

[exotic bolt]

ok then what are u confused about

what is the velocity of the object once it hits the ground

in y direction

[celest musk]

do i need to find its max height first?

[exotic bolt]

no

u can

but u dont need to

what is the velocity of the object once it hits the ground

[celest musk]

0

no?

[exotic bolt]

yes

so

what kinematic

do u think

we use

if we have an intital velocity, final velocity, and acceleration (-g), and want to find t

[celest musk]

distance kinematic

[exotic bolt]

which one cuh

[celest musk]

jitalagang distance = vit +1/2(g)t^2

fuck i had to type that out

[exotic bolt]

yes cuh

[celest musk]

ong jit

[exotic bolt]

now plug and chug

[severe pond]

yo this guy benches 75

[celest musk]

who me?

[exotic bolt]

🙏😭

[celest musk]

some bs

nah propus benches 225

[exotic bolt]

hurry up lil bro

[celest musk]

aight bbg

t=2.9 or 7.9

hol up

nah my math right

[exotic bolt]

yye

it aint

[celest musk]

diddy no

[exotic bolt]

bro cant use a calc 🙏😭🙏🙏😭😭

[celest musk]

ion have one on me

[exotic bolt]

so u got 7.9 in your head

use demos lil bro

[celest musk]

desmos has calculators

?

[exotic bolt]

u can graph

and see intersections

u bafoon

and yes it has a calculator 😭🙏😭😭

[severe pond]

https://tenor.com/view/today-lofe-present-day-on-this-day-right-now-gif-17418739219498531489

[celest musk]

hye mwan u hwurgint my fweelings

imma throw hands

[exotic bolt]

hurry up

enter into demos

or just to y=

on ti84

plug in qudratic

and see intersections there

aint nobody got time for the quad formula

[celest musk]

jit i aint got these fancy ass things you yapping about

tf is a ti84

im doing desmos rn

[exotic bolt]

what calculator do u use wtf

are you in the us?

[celest musk]

nrn

[exotic bolt]

oh u in a diffirent country

make sense ig

ti 84 is standard calc in america

[celest musk]

even when i was in us i didng use that

we didnt need graphing calcs

-5.42857 -259.4

aint no way thats right

i might be dumb

[exotic bolt]

.

shoq

ewuqaiton

[celest musk]

115=53.2t +1/2(-9.8)t^2

and then just rearranged

[exotic bolt]

-115

shoul look like this unsimp,ifed

idk the actual numbers

[celest musk]

im still getting 7.92

or 2.94

[exotic bolt]

send

photo

of ur equaton

and make sure ur in degrees

[celest musk]

oh smeat

its 12.70

[exotic bolt]

no

[celest musk]

or 1.85

[celest musk]

im gonna slam my head into a wall

[exotic bolt]

idk how ur entering an equaiton

in wrong

when its right in front of you

[celest musk]

were all talented in our own ways

my grandma says im special

[exotic bolt]

this is why the us the smartest country

!!!

[celest musk]

wait on desmos what should i be looking for

the peak?

dont really do much graphing

[exotic bolt]

intersection

of x axis

[celest musk]

12.7

again

desmos equation is y=53.2t+1/2(-9.8)t^{2}+115

NO WAIT IM A DUMBASS

fuck

me

9.96

is t

propus one more question

[exotic bolt]

yes

[celest musk]

if u have time

can i do the same thing if i want to find max height

because vf on max height would be 0

(given time)

[exotic bolt]

ye

t is just 1/2 ttoal time

[celest musk]

yeah

aight thank you man

.close

[safe radish]

Channel closed

Closed by @celest musk

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[dim herald]

So I have a polynomial

[dim herald]

$W(x) = x^{2}-3456x+1$

[flat frigate]

_hhashh

[dim herald]

and a polynomial

$P(x) = x^{4}-Nx^{2}+1$

[flat frigate]

_hhashh

[dim herald]

what should be N to make their roots equal?

I calculated that for W(x)

the root is

$x = y \pm \sqrt{y^{2}-1}$

[frozen marlin]

"y"?

[wooden vine]

What’s y

[frozen marlin]

also \pm for +- and \sqrt

[flat frigate]

_hhashh

[dim herald]

so I substituted y = 1728

i mean i should probably use like a

but i used y

[frozen marlin]

mhm

[eternal carbon]

yes correct

good process

[dim herald]

why tho?

wait

i dont get it

i know the answer is

$3456^{2}$

[flat frigate]

_hhashh

[dim herald]

but i dont get how i prove it

[eternal carbon]

that is not the answer

[dim herald]

no?

oh

im kinda stuck and idk why

[eternal carbon]

the answer is x^2, where x is what you found up there

or i am deeply mistaken

[dim herald]

bro i made a graph in desmos

and its the b squared

https://www.desmos.com/calculator/pjxnseyesq

see?

or am i wrong on this... 😭

no i think im wrong

cause the x is very close to 3456

but not exactly

its like 3455.999...

so if you square it

you get the exact answer i think

but why square it?

can you explain it?

I dont get your reasoning

[eternal carbon]

i was mistaken

for problem like this you can i guess just work backwards

you know that from definition of P(x), there is roots x^2 = [apply quadratic formula]

[eternal carbon]

and you have an expression for x here, so you can square this and attempt to find N

[dim herald]

so how were you mistaken?

so you do something like this?

[dim herald]

lets call the x from here

x' instead

so then you P(x')?

right?

and then you solve for N?

it would mean you get something like that?

$P(x') = (x')^{2}-Nx'+1$

[flat frigate]

_hhashh

[dim herald]

or am i wrong?

I think im kinda lost

It seems for me that the exact answer is

$11,943,934$

[flat frigate]

_hhashh

[dim herald]

but im not sure

so I basically changed P(x)

into $N = \frac{x^{4}+1}{x^{2}}$

[flat frigate]

_hhashh

[dim herald]

calculated x^2 from this

and put it to calculate n

[dim herald]

and i got this

does this make sense?

hmmm

no its not the answer

the answer should be $3456^{2} = 11943936$

[flat frigate]

_hhashh

[dim herald]

i would be thankful if someone explained why its that

[safe radish]

@dim herald Has your question been resolved?

Channel closed

Closed by @dim herald

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[nocturne phoenix]

Does anyone know what is this actually? And how is its's anwer 16?

[frozen marlin]

that's tetration

2 tetrated 3, written like that, is 2^2^2

"a power tower"

in general

[nocturne phoenix]

so if its 10 tetrated 3 its answer is 10^100? or

[frozen marlin]

${}^ba = \underbrace{a^{a^{a^{\cdots^a}}}}_{b\text{ times}}$

[flat frigate]

ren

[nocturne phoenix]

And why was I never taught this in school?

[frozen marlin]

because it's generally useless

no no no

10 tetrated 3 is not 10^100

who thumbs-upped that

10 tetrated 3 is 10^10^10

[cold relic]

10^10 isn’t 100

[frozen marlin]

you evaluate the power tower starting from the top

so 10^(10^10)

[nocturne phoenix]

wow that is very big number

[cold relic]

Well I certainly didn’t

[nocturne phoenix]

ok so why is it useless?

[frozen marlin]

wait until you get to knuth up-arrow notation

because
it has no uses?

can't think of a single place where i'd use tetration

[noble kiln]

fr

[nocturne phoenix]

Who taught you tetration?

[frozen marlin]

nobody

learnt it myself

[nocturne phoenix]

I came to know about this rn

[frozen marlin]

i learn most things myself

[noble kiln]

learnt from yt video

[frozen marlin]

i can send you a video on very large numbers if you'd like

[nocturne phoenix]

Why it exists if it has no use?

[cold relic]

It has uses

[frozen marlin]

https://www.youtube.com/watch?v=0XneC6Iz9N0&ab_channel=RandomAndgit

[frozen marlin]

because mathematicians have wayyyyy too much time on their hands

and it does have uses--just not very common ones

[nocturne phoenix]

Like where cause I was never taught this in school. It is very easy concept Ig

[frozen marlin]

not really

easy in theory yes, hard in practice

[empty ice]

such as?

[frozen marlin]

frankly i have no idea

[empty ice]

compt science?

[frozen marlin]

but there are definitely some lol

[frozen marlin]

where on earth would you use that

[empty ice]

idk im just guessing 😭

[cold relic]

I suppose grahams number is in part tetration

[nocturne phoenix]

@frozen marlin@cold relic@noble kiln@empty ice Thank you so much. I just learned a new concept thanks

[noble kiln]

np

thank them more fr

[frozen marlin]

nw

[frozen marlin]

not really

interestingly, sqrt(2) tetrated infinitely is 2

[frozen marlin]

graham's number involves knuth up-arrow 63 times iirc

[cold relic]

Well it’s a further generalization of the concept (the arrow up notation)

[frozen marlin]

well

i mean it's like saying exponentiation is in part addition

which is in part true

[noble kiln]

technically yes right

[frozen marlin]

but you don't think of it that way do you

[frozen marlin]

yeah

[nocturne phoenix]

.close

[safe radish]

Channel closed

Closed by @nocturne phoenix

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[sage patrol]

why are my answers flipped?

[safe radish]

@sage patrol Has your question been resolved?

[safe radish]

@sage patrol Has your question been resolved?

Channel closed

Closed by @sage patrol

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[lime lark]

how would I solve this integral?

I’m aware 1-sin^2 x = cosx and ik u substitution but I just get stuck

[last wren]

i think you mean cos^2 x

[wooden vine]

Oh I was going to say that

[lime lark]

yeah that’s what I meant

mb

[last wren]

so you end up with the integral of sinx/cosx

what did you choose to be your u

[lime lark]

I chose sinθ

should I be choosing cos?

[last wren]

yes

[lime lark]

so I change the bottom to sqrt cosθ and use cos as my u?

[last wren]

the bottom should just be cosx, no sqrt

[wooden vine]

Sqrt cancels

The squared

[lime lark]

ohhhhh right

[charred saffron]

why cancel it out

actually maybe its better

nvm

[wooden vine]

Isn’t sin over cos just tan or is that wrong? I’m kinda tweaking today

[lime lark]

wait what do I do after that

[lime lark]

yes that’s right

[charred saffron]

when u wrote integral of sintheta/costheta

change that to tantheta

and u got ur answer

[charred saffron]

dw ur good

[lime lark]

but now cosθ is u

[charred saffron]

oh wait did u guys substitute smt?

[lime lark]

yes

u substitution

[charred saffron]

u sub?

what is u equal to?

[lime lark]

cosθ

[charred saffron]

noo

dont do that

[lime lark]

….

what should u be then

[charred saffron]

there is no need of subbing

u got to integral of sin(theta)/cos(theta) d(theta) , yes?

[lime lark]

yes

[charred saffron]

that can be written as tan(theta) like reaver said

no need for "u" sub

[lime lark]

integral of tanx is what

theta*

[charred saffron]

its -|cos(theta)| + C

[lime lark]

alright ty

.close

[safe radish]

Channel closed

Closed by @lime lark

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[modern bloom]

Why does continuity of the partial derivatives imply continuity of all directional derivatives?

[frozen marlin]

because directional derivatives are just linear combinations of partial derivatives

[modern bloom]

Ok

.close

[safe radish]

Channel closed

Closed by @modern bloom

Use .reopen if this was a mistake.

[frozen marlin]

speedrun.com wr for mathcord helpee helped????

[rustic goblet]

nah

the speedrun record goes to the people who open a channel and instantly clear their own doubt

[upbeat swan]

fr

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cloud pagoda]

can u help me? I dont even know what to do here

[safe radish]

@cloud pagoda Has your question been resolved?

[safe radish]

@cloud pagoda Has your question been resolved?

[safe radish]

@cloud pagoda Has your question been resolved?

[safe radish]

@cloud pagoda Has your question been resolved?

Channel closed

Closed by @cloud pagoda

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[cold relic]

b*1/x = a implies b | a if and only if 1/x is an integer

But for x>1 that isn’t the case

Which is why this doesn’t prove that b | a

If a | b and b | a then necessarily a = b. This follows from the fact that a | b implies a<=b and b | a implies b<=a

[safe radish]

Channel closed

Closed by @smoky minnow

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[ionic oar]

If someone asks me a question and gives me 4 possible option and one is correct, my chance of guessing the answer is 1/4 or 25%, but what would be the change of winning the whole show if it costs of 8 rounds, and each round has different available answers?

1-4th round - 4 answer options
5-7th round - 3 answer options
8th round - 2 answer options

What’s the chance of me winning the show if I only guess the answer?

[brisk shard]

4 answer options means 4 options and only 1 is correct, right?

[safe radish]

@ionic oar Has your question been resolved?

[ionic oar]

Yes

[empty gyro]

Each round is an independent event. Total probability is therefore the product of the probability of each event.

[ionic oar]

And?

Calculate

[brisk shard]

should be something like (1/4)^4 × (1/3)^3 × (1/2)

[safe radish]

@ionic oar Has your question been resolved?

[safe radish]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[safe radish]

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[clear geode]

Consider the theoretical implications and existence conditions of the following hyper-abstract construct:

[flat frigate]

altaccountinthespotline

[safe radish]

@clear geode Has your question been resolved?

[hard crest]

.close

[safe radish]

Channel closed

Closed by @hard crest

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

Remember:
• Ask your math question in a clear, concise manner.
• Show your work, and if possible, explain where you are stuck.
• After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

[thick dagger]

ok im 100% lost on this

idk how to start this

but all ik is similar triangles

but i cant see any similar triangles ;-;

this is the answer!!

oh wait now i see the similar triangles but idk how to start it!

[spark zinc]

isnt it 6

[thick dagger]

x = 6?

[spark zinc]

sorry nevermind

[thick dagger]

oh ok!

[spark zinc]

I misinterpreted the shape

[thick dagger]

oh nwrs

[spark zinc]

I feel like they might be similar triangles

because they're both isosceles

[unborn relic]

Do you know the similarity types @thick dagger

[spark zinc]

also simultaneous will probably work

[unborn relic]

Yea ur correct here

[spark zinc]

this owuld be SSS

[thick dagger]

err

[spark zinc]

we dont know angles and they're irrelevant

[unborn relic]

Well actually i was gonna say AA

[thick dagger]

the only thing i know is big triangle over little triangle!!

[spark zinc]

AA for isosceles works i guess ur right

I hate how there are no angles that's what makes this hard

[thick dagger]

all the other questions didnt have angles either ;-;

i was kinda just tossed in here!!

[spark zinc]

Use AA similarity

that's my hint

I dont want to give it away totally

[thick dagger]

see, the thing is i havent been taught that

ok wait im gonna take a picture of my attempt

and tell me where i went wrong ;-;

[spark zinc]

this angle belongs to both triangles what can we infer form that?

[spark zinc]

it's a grade 8/9 thing.... you should know it idk what grade you're in

[thick dagger]

omg.

so uhm i guess i am delayed!!

[thick dagger]

that uhh their similar? ;-;

[spark zinc]

Hmmm you have not simplified your answer

[thick dagger]

i kinda been just winging everything guys!!

[spark zinc]

It should be 6+sqrt14

sorry 3+sqrt14

[thick dagger]

okok i will try

[spark zinc]

its still incorrect let me see what you did wrong

[unborn relic]

You didn't put 5x on left side

[thick dagger]

err i am wrong

[thick dagger]

oh should it be on the right?

OH

OH I SEE WHAT U MEAN

WILL TRY AGAIN

[spark zinc]

shouldn't this be it's inverse... x/(6+x-4)

[thick dagger]

wait im still wrong if i get 5x

[thick dagger]

oh

wait wouldnt that be the same thing

itll just be x/x yes?

cuz the 6's cancel each other out!

[spark zinc]

i think

let me actually do this on paper hang on

[thick dagger]

okok ty

[spark zinc]

tryna do this in my head is pointless

[thick dagger]

wait so purple go together and green go together?

guys im now kinda sad that this is gr 8 level.

[spark zinc]

no its not

the basis of similairty is yr 8

[thick dagger]

oh so purple and green go together?

[spark zinc]

this is like 10/11

I think so...

[thick dagger]

ah, ok, i didnt even do similarities in 8 ;-;

[thick dagger]

ahhh okok

wait i think i got it

but like i did trial and error

and idrk how i got it ;-;

[spark zinc]

that's it

exactly what I was using

[thick dagger]

okok

wait but is there a fast way to know what values to use?

or is it trial and error or just eyeballing everything ;-;

[spark zinc]

no

I'll show you

[thick dagger]

okok tyty!!

[spark zinc]

these are similar triangles, they share the angle in the bottom right and are isosceles

we can therefore imply that the ratio's of their correspondant sides will be equal

[thick dagger]

mhmm

wait but dont at least two angles have to be equal for them to be proportional?

how would we know another angle is equal?

[spark zinc]

the "xm" on the big triangle is equal to the "5m" on the small one, so we will use these as our numerators.... but can also be used as denominators

We can also see that the "5m" on the big triangle is equal to the "(x-6)m" on the small triangle

these will be set as our denominators (or numerators if we set the other sides before to the denominators)

[thick dagger]

ohh okok

[spark zinc]

if they are isosceles both of the bottom angles are equal so if one is similar they both will be

[thick dagger]

OHH

I FORGOT ISOCELES DO THAT

OK THAT MAKES SO MUCH SENSE

[spark zinc]

one side of the equation should only consist of side lengths of one triangle and the other side of the equation the other triangle

so in the same fraction you SHOULD NOT have side lengths from different triangles

then it will fuck it up