#geometry-and-trigonometry

1 messages ยท Page 157 of 1

shy shale
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Whys it similar

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Like how

crude kraken
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Mhm

upper karma
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it is similar because all the angles are equal

crude kraken
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Because the two sides are scalable and the angles are the same, it's similar

upper karma
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and the sides follow a proportion

shy shale
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It says if they are, write a similarity statement and give the scale factor

upper karma
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if you multiply to sides of the small one by 1.2, you get the big one

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scale factor = 1.2

crude kraken
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(or 6/5)

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(or for going from big to small it's 5/6)

upper karma
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statement: Triangle VUW ~ Triangle SRT

shy shale
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Ok thanks for explaining the whole process. And around that time got me confuse. So while you guys were explaining had to to take some notes and write something down on my paper.

crude kraken
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=tex \frac{18}{15}=\frac{12}{10}\text{ and }32=32\therefore\Delta VUW \sim \Delta SRT\therefore\text{ The two triangles are similar.}

shy shale
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Oh

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Yeah now thats good more understanding clarification of mathbot

crude kraken
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No problemo

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btw, those three dots are therefore, you'll need to use it a lot so be warned :p

charred spearBOT
shy shale
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Isnt the 3 dots look like a triangle?

crude kraken
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Yea

shy shale
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Oh ok

crude kraken
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But it means therefore

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And you get the scale factor, right?

shy shale
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Thx for helping on number 7 and thanks to asian doge for helping me too. It helped alot the way you two explain well.

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And I got another question I need help with too.

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Ima send pic

crude kraken
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mk

shy shale
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I need help with number 8

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Im too sure what the question is asking?

crude kraken
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Me neither?

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Oh, it's talking about the next question

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or not...

shy shale
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No for number 8 im asking

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It doesnt answer to the next one

upper karma
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@shy shale same technique my friend

shy shale
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Thats different

crude kraken
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๐Ÿคท

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I don't even get what it's asking for xP

shy shale
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Wait so @upper karma how I do 8 again?

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So basically for 8 its not similar?

upper karma
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Find the ratio of corressponding sides

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if they are equal they are similar

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if not then no

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i havent done the calculations yet

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but that's the method

shy shale
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Ok

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So would it be equal?

upper karma
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i dont know, did you calculate it?

shy shale
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Im trying

crude kraken
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OH

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It's just asking you to prove the next two things are similar in the same manner as above ;p

shy shale
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Oh

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Oh ok same for 7

crude kraken
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Same as 7 I think, do the math

shy shale
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Ok

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I think its similar?

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Would it be?

upper karma
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what do you have for the ratio?

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no they are not similar

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dude

shy shale
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Whys it not similar?

crude kraken
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Do you understand what it means for two shapes to be similar?

shy shale
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Cause their the same shape that are similar meaning equal sides of the angles???

crude kraken
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When two figures are similar, the ratios of the lengths of their corresponding sides are equal.

shy shale
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Ok

upper karma
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and corresponding angles are equal..

shy shale
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Alright

upper karma
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21.6/4.68 โ‰  9/1.8

crude kraken
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If the corresponding sides are equal, the corresponding angles must also be equal

upper karma
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alright?

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so they are not equal

shy shale
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So if its not equal not similar?

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Then?

upper karma
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yes

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if the ratio is not equal

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it is not similar

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yes

shy shale
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So for 8 I just say its not equal

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Not similar?

upper karma
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not similar

crude kraken
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=tex \frac{QR}{VT}\neq\frac{RS}{TU}\therefore\Delta QRS \not\sim \Delta UVT

upper karma
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the ratios are not consistent

crude kraken
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except it uses squiggly lines instead of straight ones at the end, I just forget the symbol

upper karma
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yeh there u go dromas

shy shale
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Oh ok that helped.

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I like mathbot though

charred spearBOT
upper karma
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there u go mate

crude kraken
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But I encourage you to think why this is actually so, because it will help a lot in later places.

shy shale
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Ok thanks bro. Hope it actually does help for the near future to.

upper karma
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too* lol ๐Ÿ˜‚ ๐Ÿ˜…

crude kraken
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๐Ÿค”

shy shale
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Oh lol

crude kraken
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I guess I'm going to the near future

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or is the near future coming to me?

upper karma
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lel

crude kraken
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What if there's two near futures? ๐Ÿ˜ฎ

upper karma
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@crude kraken what maths are you in

crude kraken
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This is too confusing D:

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According to my transcript, pre-calc

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but I'm studying stuff ahead :p

shy shale
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Omg lol boi we are in the year of 2017

crude kraken
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so I'm in some sort of mix of precal and cal

shy shale
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So I guess the future is after 2020 somewhere around their or after the year of 2030?

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Idk

crude kraken
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*there

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๐Ÿ˜›

upper karma
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@crude kraken high-five im in precal too, what grade u in?

crude kraken
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11

upper karma
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oh ok

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lol

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im a freshman

crude kraken
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You're 12

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oh

shy shale
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Damn you one grade ahead of me

crude kraken
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oh you're literally 12

shy shale
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Im in 10th grade a sophomore

upper karma
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no im not twelve

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u shit

shy shale
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In high school

upper karma
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chill

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no insults

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hai senpai

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sumimasen

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Gomen gomen

shy shale
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Oh also I need help with a ither question too

crude kraken
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Alright

shy shale
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Number 10

upper karma
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@shy shale actually im 4 grades ahead of u, since u r a soph in geoemtry, im a freshman in precal

shy shale
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Need help

upper karma
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man samething

shy shale
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Well what im guessing it is similar

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Since the the triangles are vertical angles

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Of the V and the teacher told me about it

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So is it similar?

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@upper karma @crude kraken

crude kraken
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er

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If my intuition is correct, yes

upper karma
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they are similar yes

crude kraken
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but if not, then not enough information given

shy shale
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Oh yay was right it is similar

upper karma
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there is enough info....

crude kraken
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but I have absolutely no clue what theorem says "Two lines in a plane crossing are symmetrical goddamnit, and becasue the angles are the same across ways teh triangles must be similar"

upper karma
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given 2 equal angles, u can figure the other one out by vertical angle

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therefore similar by AA

shy shale
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Also need to write a similarity statememt and postulate of theorem

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Ok angle angle

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@upper karma

upper karma
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yeh angle angel

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the statement just similar as above

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i wont just give u the answer

shy shale
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So how would I write it for the statement

upper karma
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find corresponding angles

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write it in similar order

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put sqiggly line

shy shale
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So is it HG~JK

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.

upper karma
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no goddamn it

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you state the whole triangle

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with triangle notation

shy shale
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Like how would I state it

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@upper karma

upper karma
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.....

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Triangle MKJ ~ Triangle MHG by AA

shy shale
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And how do I state postulate or theorem?

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@upper karma

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Where everyone at?

gritty flare
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๐Ÿค”

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@shy shale Like there is a theorem: a^n+b^n = c^n if n>2?

shy shale
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Nvm dude someone is helping me in the other discord server on homework help

gritty flare
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๐Ÿ˜ฆ ok

shy shale
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I was just asking where was everyone at? Cause I was afraid this channel might go dead since no was talking.

gritty flare
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this is quiet if Sev and Ann arent here

shy shale
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Ik

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I hate when channels like this go dead

gritty flare
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where do you get help doe

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:#

upper karma
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@DromasGamerHD#3722 get you state it by either brackets or use the word "by"

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do what your teacher ask u to do

crude kraken
thick coyote
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does anyone know any interesting uses of hyperbolic geometry in real life?

quasi lion
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thermic transfer

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I have it somewhere in my laptop

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@thick coyote

thick coyote
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thanks

keen aspen
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@crude kraken Is that a Limacon?

dark sparrow
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it's a cardioid

upper karma
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yes

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k, thx. Thats all I needed. Was on my phone and maths came up.

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ill disappear back into the shadows. bye.

white swift
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=wolf plot y^2-x^2=1

charred spearBOT
white swift
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๐Ÿค”

thick coyote
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Three planar regions A,B,C partially overlap each other, with |A|=90, |B|=90, |C|=60 and |AuBuC|=100, where |โ€ข| denotes the area. Find the minimum possible |AnBnC|.

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Can anyone help me with this

upper karma
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The midpoints of the sides of a triangle are (5, 4), (8, 5), and (6, 0). Find the coordinates of teh vertices of the triangle.

dark sparrow
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what have you tried so far?

potent linden
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@thick coyote isn't it just be 40?

thick coyote
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Yeah that's what I got, was just checking

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How did you find it

potent linden
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well, for the union to be 100, then the intersection of one 90 and the 60 has to be either 60 or 50, and 50 is a smaller number

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so then you tack on the other 90, and align it so it drops it down to 40

past mantle
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Is sin(x) the same as $$sin(\theta)$$?

charred spearBOT
dark sparrow
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uh

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no?

past mantle
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Ok, I was just thinking that XD

dark sparrow
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i mean they're the same function, just with different variables as arguments

past mantle
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Ok, I see.

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Variables don't make the function change

dark sparrow
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the function is still sin()

past mantle
strange lintel
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Is it 16? OwO

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Alright, letโ€™s name them first.

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One sec

copper valve
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it is

past mantle
strange lintel
past mantle
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ik u cant read it

strange lintel
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So, we take Triangle ADB and find AD

copper valve
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u can use Pythagorean theorem for the right triangle 5-?-13

strange lintel
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Pythagoras theorem

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Then take the triangle ADC

copper valve
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then use the ? to figure out the length of x in the x-?-20 triangle

strange lintel
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ยฏ_(ใƒ„)_/ยฏ

past mantle
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i did $$13^2+(x+5)^2=20^2$$?

charred spearBOT
copper valve
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oh be careful :o

past mantle
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?

copper valve
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do u have a right angle for that :o

strange lintel
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Aight.

past mantle
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no

strange lintel
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Itโ€™s 11

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:D

copper valve
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o yea for some reason i thought x was DC not EC

past mantle
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so u use Pythagorean theorem twice is what im getting

copper valve
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ya

past mantle
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ok

strange lintel
past mantle
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seems easy enough

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i did it so badly

strange lintel
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Well, just write the given statements.

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Draw the triangle.

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And figure it out.

past mantle
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oh, i get it now

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got it ๐Ÿ˜„

strange lintel
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x=11

past mantle
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i thought it way to much XD

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i thought to use the equation up there

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3 problems left and they only ask for perimeter and area XD

strange lintel
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Nice.

past mantle
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even though there is one side missing

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should be easy

strange lintel
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@copper valve Thatโ€™s too accurate. Lol.

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Nvm.

copper valve
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?

past mantle
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== sqrt(80)

charred spearBOT
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8.94427191

past mantle
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im stumped for the area of this

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i have $$A=8*4\sqrt(5)$$

charred spearBOT
white swift
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sqrt5 ?

past mantle
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ye

white swift
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=tex \sqrt5

charred spearBOT
past mantle
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oh

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i dont understand how?

white swift
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looks impossible to me

dark sparrow
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it is possible

white swift
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its equillateral ๐Ÿค”

dark sparrow
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no

white swift
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what do u call them ๐Ÿ˜ข

dark sparrow
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isosceles

white swift
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two-side-equal

dark sparrow
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okay so if the top vertex is A, the base is BC from left to right, and that height is BH

white swift
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that's the one

past mantle
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is the base then 10 and 5?

dark sparrow
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no

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you can calculate AH

past mantle
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oh

dark sparrow
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using the pythagorean theorem

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then HC

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then BC

sudden helm
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I have problem here. Triangle edge lenghts are
a=39
b=20
c=45
I have to calculate bisectrix(bisector)
what formula i have to use and could someone explain it please?

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bisectrix faces to edge a

sudden helm
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it's angle bisector

tropic stirrup
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w/e, I was too lazy to give explanations

copper valve
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nice chalkboard

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so smooth

sudden helm
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hey! thanks!

tropic stirrup
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No problemo ^^;

sudden helm
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@tropic stirrup one question. what are those lines above formula?

tropic stirrup
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Oh it just means "segment"

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in here the line segment itself and its length are both expressed by the lines above the letters

sudden helm
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because i think that in my school we learn it somehow differently but i might be wrong

tropic stirrup
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Nah it's just the difference of notation

sudden helm
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because i have never heard of Stewarts theorem

tropic stirrup
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Oh

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It's good and useful to know that formula

sudden helm
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okay i will keep that in mind

tropic stirrup
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The proof of it can be searched easily through the internet

sudden helm
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i know

tropic stirrup
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Uses Pythagorean

sudden helm
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which grade usualy learn this theorem if you know

upper karma
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5th

sudden helm
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in usa?!

tropic stirrup
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Dunno, I just learnt it by myself

sudden helm
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i go in 10th

tropic stirrup
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And nah that's a lie over a cake

sudden helm
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im from europe btw

tropic stirrup
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American math is slow
Don't worry

sudden helm
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ok

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i see cos in one proof. is that normal?

tropic stirrup
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Ye

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Anyways I need to finish some stuffs

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So I need to depart for now

sudden helm
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ohh i remember something about this. i think teacher taught us this theorem but didn't call it steward's

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ok bye

tropic stirrup
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Pfft

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Buhbye~

upper karma
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How can you tell if a slope is positive or negative? Am I looking at the picture to determine that or the answer?

umbral snow
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Is the slope going up or down? What was the original question

upper karma
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Find the slope of (0,0) & (9,3)

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Am I determing that from the origin?

umbral snow
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You mean find the slope of the line connecting (0, 0) and (9, 3)?

upper karma
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Yes

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Can I just look at what quadrant it's in?

umbral snow
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m = rise / run
m = difference in y / difference in x
m = (3 - 0) / (9 - 0)
m = 3/9 = 1/3

upper karma
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Yes, I know how to find slope.

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I just need to determine if that's a negative slope or a positive slope.

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Am I looking at the actual answer to see if that's positive or negative?

umbral snow
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Well, 1/3 is a positive number

upper karma
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Or am I looking at the line on the graph?

umbral snow
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So we have a positive slope

upper karma
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ah thanks

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So, for (-6, 0) and (0, -3), I would be getting a negative slope?

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Since the slope is a negative number?

copper valve
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ya

rare ravine
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i get no answers in #help-1 so i'll ask here :
here's the pb :

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You have to set 5 points to build an elliptic function of [-5;4] interval:

  • at 0,0
  • at 31,2
  • with x at 127 and u have to find y
    The 2 other points so that the function has the 31,2 point as maxima (Those points will have a x<0 & y<0)
    And the sum of all entire x from 0 to 127 included has to be at -128
    What's the quadratic formula of this function ?
upper karma
dark sparrow
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christ, inserting notation right in the middle of a sentence

upper karma
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I forgot what alt., con., and int. are short for

dark sparrow
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alt and int are alternate and interior i think

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idk what con might be short for

upper karma
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corresponding

dark sparrow
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con, not corr

upper karma
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ohh

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consecutive or something maybe?

dark sparrow
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this is all

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full of overly-fancy terms and notation

upper karma
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exactly why i need help with it lol

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I mean, i get the logic behind the math and everything and can do it when its in like basic terms

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but not this

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you get the hang of the terms by practicing

dark sparrow
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except these are overly fancy

west dune
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Hey guys,


DC = 12 cm
AB = 6 cm
AD  = 8 cm
ABCD is a trapeze
AB || DC
And the distance between AB to DC is 8 cm

* I proved that triangle AEB similar to triangle DEC

I need to find ABCD's size, how to?
I don't know that AD is height

final prairie
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ืœืžื” ืืชื” ืžืชื›ื•ื•ืŸ ื‘ื’ื•ื“ืœ ืฉืœ ABCD?

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ืฉื˜ื—?

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@west dune

west dune
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@final prairie ื›ืŸ

final prairie
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ื™ืฉ ื ื•ืกื—ื ืœืฉื˜ื— ืฉืœ ื˜ืจืคื–

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ื”ื’ื•ื‘ื” ื›ืคื•ืœ ืกื›ื•ื ื”ื‘ืกื™ืกื™ื ื—ืœืงื™ ืฉืชื™ื™ื

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ืื– ื”ื’ื•ื‘ื” ื›ืŸ ื”ื•ื 8 ื›ื™ ื™ื“ื•ืข ืฉื–ื” ื˜ืจืคื–

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ื”ื‘ืกื™ืกื™ื ื”ื 6 ื•-12

west dune
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ืœื ืžืžืฉ ืœื

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ืืชื” ืœื ื™ื•ื“ืข ืฉ8 ื–ื” ื”ื’ื•ื‘ื”

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ืชืื•ืจืชื™ืช ื–ื” ื›ืŸ

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ืื‘ืœ ืžื” ื”ืžืฉืคื˜

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ืฉืื ื™ ืื’ื™ื“
AD ื’ื•ื‘ื”

final prairie
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ืื ABCD ื˜ืจืคื– ื• AB||DC ืื– AD ื”ื•ื ื’ื•ื‘ื”

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ื–ื” ื‘ื”ื›ืจื—

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ืื” ืจื’ืข

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ื”ื‘ื ืชื™ ืžื” ืืชื” ืื•ืžืจืจ

west dune
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ืื–? ๐Ÿ˜… @final prairie

final prairie
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ืื™ืŸ ืขื•ื“ ื ืชื•ื ื™ื?

west dune
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ืื ื™ ืืฉืœื— ืœืš ื›ื™ ืืชื” ื™ื•ื“ืข ืขื‘ืจื™ืช ื“ืงื”

final prairie
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@west dune ืื” ื”ื‘ื ืชื™ ืขื›ืฉื™ื•

west dune
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ืื•ืงื™ื™

final prairie
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ืดื”ืžืจื—ืง ื‘ื™ืŸ ื”ื‘ืกื™ืกื™ืืด ื–ื” ื‘ืขืฆื ื”ื’ื•ื‘ื”

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ืื‘ืœ ืœื ื‘ืงืฉื• ืฉื˜ื— ืฉืœ ื”ื˜ืจืคื–

west dune
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ื™ืฉ ืœืš ืžืฉืคื˜ ืœื–ื”?

final prairie
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ื›ืฉืื•ืžืจื™ื ืดืžืจื—ืงืด ื‘ื™ืŸ ืฉืชื™ ื™ืฉืจื™ื ื–ื” ื‘ืขืฆื ื”ืžืจื—ืง ื”ื›ื™ ืงืฆืจ, ืฉื–ื” ื”ื’ื•ื‘ื”

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ืื™ืŸ ืžืฉืคื˜ ื–ื” ื”ื’ื“ืจื”

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ื–ื” ื›ื‘ืจ ื™ื•ืชืจ ื”ื‘ื ืช ื”ื ืงืจื ืืคื™ืœื•

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ืื– ืฉื˜ื— ื”ื˜ืจืคื– ื–ื” ืฉืชื™ ืฉื ื™ื•ืช

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ืื‘ืœ ื™ื•ืชืจ ืงืฉื” ื–ื” ืฉื˜ื— ื”ืžืฉื•ืœืฉื™ื

west dune
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ื›ืŸ ืื‘ืœ ืื ื™ ืœื ื™ื›ื•ืœ ืœื”ื•ื›ื™ื— ืฉ

AD 
DCืื ืš ืœ```
ื‘ืœื™ ืžืฉืคื˜
final prairie
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ื ื›ื•ืŸ

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ืืชื” ื’ื ืœื ืฆืจื™ืš

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ืืชื” ืจืง ืฆืจื™ืš ืืช ื”ื’ื•ื‘ื”

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ื•ื”ื•ื ื ืชื•ืŸ

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ืื– ื’ื ืชืžื—ืง ืืช ื”ืกื™ืžื•ืŸ ืฉืœืš ืฉ AD=8

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ื›ื™ ืืชื” ืœื ื™ื•ื“ืข ืฉื”ื•ื ื’ื•ื‘ื”

west dune
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?

final prairie
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ืกื™ืžื ืช AD=8cm

west dune
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ืื–?

final prairie
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ื–ื” ืœื ื ื›ื•ืŸ

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ื›ื™ ืืชื” ื™ื•ื“ืข ืฉื”ื’ื•ื‘ื” ื”ื•ื 8

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ืืชื” ืœื ื™ื•ื“ืข ืฉAD ื’ื•ื‘ื”

west dune
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ืื•ืงื™ื™

final prairie
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ืื– ืฉื˜ื— ื”ื˜ืจืคื– ื”ื•ื

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8(12+6)/2=4*18=72

west dune
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=tex 8(12+6)/2=4*18=72

charred spearBOT
west dune
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ื›ืŸ

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ื•ืžื” ื”ืžืฉืคื˜ ืฉืœื™?

final prairie
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ืื™ื–ื” ืžืฉืคื˜?

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ื–ื” ื”ื ื•ืกื—ื ืœืฉื˜ื— ื˜ืจืคื–

west dune
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?ืžืจื—ืง ื‘ื™ืŸ ืžืงื‘ื™ืœื™ื ื”ื•ื ื’ื ื”ื’ื•ื‘ื”

final prairie
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ื–ื” ื”ื‘ื ืช ื”ื ืงืจื, ื”ืžื™ืœื” ืดืžืจื—ืงืด ื–ื” ืคืฉื•ื˜ ืื•ืจืš ื”ื’ื•ื‘ื”

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ืžื™ื•ืชืจ ืœืฆื™ื™ืŸ

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ืชื›ืชื•ื‘ ืดื”ืžืจื—ืง ื”ื•ื ื’ื ื”ื’ื•ื‘ื”, ืฉื ืชื•ืŸ ืฉื”ื•ื 8ืด

west dune
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ืฉื ื™ื ื• ื™ื•ื“ืขื™ื ืฉืžืชืžื˜ื™ืงื” ื–ื” ื ื•ืฉื ืžืชื—ื›ื ืื– ื’ื ืฉืืชื” ืžื‘ืงืฉ ืขื–ืจื” ืฆืจื™ืš ืœื”ืชื—ื›ื ื‘ื”ืชืื

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ืื™ืืคืฉืจ ืกืชื ืœืจืฉื•ื ื“ื‘ืจื™ื ื‘ื”ื•ื›ื—ื•ืช

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ืื‘ืœ ืชื•ื“ื”, ื”ื‘ื ืชื™ ืื•ืชืš

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ืื ื™ ืืฆื˜ืจืš ืขื–ืจื” ื‘ืขื•ื“ ืžืฉื”ื• ืื—ืจื™ ื–ื”

final prairie
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ื”ืžืจื—ืง ื‘ื™ืŸ ืฉืชื™ ื™ืฉืจื™ื ื”ื•ื ืื•ืจืš ื”ื’ื•ื‘ื”

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ื”ื ื™ืกื•ื— ืฉืœื”ื ืงืฆืช ื—ืจื ืคืฉื•ื˜, ื–ื” ืกืชื ื‘ืฉื‘ื™ืœ ืœื‘ืœื‘ืœ

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ืืชื” ืขื›ืฉื™ื• ื’ื ืฆืจื™ืš ืœื—ืฉื‘ ืืช ืฉื˜ื—ื™ ื”ืžืฉื•ืœืฉื™ื

west dune
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Oriented shit
Like we like to call it when programming ๐Ÿ˜„

final prairie
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ื‘ื™ืŸ ืฉืชื™ ื™ืฉืจื™ื ืžืงื‘ื™ืœื™ื **

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ื—ื—

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ื—ื™ืฉื‘ืช ืืช ื™ื—ืก ื”ื“ืžื™ื•ืŸ ื‘ืžืฉื•ืœืฉื™ื?

west dune
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ื›ืŸ, ื™ืฆื ืœื™ ื—ืฆื™

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ื•ื™ื—ืก ืฉื˜ื—ื™ื ื–ื”

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=tex (0.5)^2

charred spearBOT
final prairie
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ื‘ื“ื™ื•ืง ื›ืŸ

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ืืชื” ืชืกืชื“ืจ ืขื ื”ืฉื˜ื—ื™ื?

west dune
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'ื“ืงื”, ืื ื™ ืจืง ืกื™ื™ืžืชื™ ืืช ื

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ืื ื™ ืื•ื”ื‘ ืœื”ื‘ื™ืŸ ืื™ืš ืœืคืชื•ืจ ื”ื›ืœ ื•ืœื”ื‘ื™ืŸ ืืช ื”ืฉืืœื” ืžืืฉืจ ืœืจื•ืฅ ืœืคืชื•ืจ

final prairie
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Take your time :p

west dune
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:}

final prairie
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ื—ื—

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ืื ื™ ื”ื•ืœืš ืœื›ืžื” ื“ืงื•ืช

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ืื– @ ืื ืืชื” ืฆืจื™ืš ืขื•ื“ ืžืฉื”ื•

west dune
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๐Ÿ‘

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cya

hard atlas
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Wait, Hebrew is also written right to left? :o

west dune
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Yes, It's the first language in histroy to be written RTL.

hard atlas
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Now I did not know that

west dune
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A day without learning something new is a wasted day @hard atlas

hard atlas
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True ๐Ÿ˜€

west dune
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@final prairie ื—ื–ืจืช ืื ื™ ืจื•ืื”

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ื—ื—ื—

final prairie
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ื›ืŸ ื—ื—

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Stalker :p

west dune
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ืœื... ื‘ื“ื™ื•ืง ื‘ื“ืงืชื™ ืื ื”ืชื—ื‘ืจืช

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๐Ÿ˜‚

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ื™ืฉ ืœื™ ื˜ื™ื™ืžื™ื ื’ ื˜ื•ื‘

final prairie
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ื—ื—

west dune
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ืฉื›ื— ืžื”ืฉืืœื” ืœืžืขืœื” ืื ื™ ืฆืจื™ืš ืขื–ืจื” ื‘ืžืฉื”ื• ืื—ืจ ๐Ÿ˜ฌ

final prairie
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ื”ืกืชื“ืจืช? ื—ื—

west dune
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ื‘

final prairie
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jesus fuck

west dune
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'ืื ื™ ืœื ืžืฆืœื™ื— ืืช ื‘

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?'ื™ืฉ ืœืš ืจืขื™ื•ืŸ ืื™ืš ืœืขืฉื•ืช ืืช ื‘

final prairie
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ืืžืž

west dune
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ื–ื” ื”ื™ื” ืงืœ ืื ื–ื” ื”ื™ื”
EOC = EDO ืื‘ืœ ื–ื” ืœื

final prairie
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EDC=90ยบ

west dune
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ื ื›ื•ืŸ

final prairie
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ืื•ืงื™ ืื– ื›ื›ื”

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ื ื›ื•ืŸ ื™ืฉ ืžืฉืคื˜ ืฉืื•ืžืจ ืฉืื ืฉืชื™ ื™ืฉืจื™ื ืžืงื‘ื™ืœื™ื ืื– ื›ืœ ืฉืชื™ ืžืฉื•ืœืฉื™ื ืขื ืื•ืชื• ื‘ืกื™ืก ืขืœ ืื—ื“ ืžื”ื ื•ื ืงื•ื“ื” ืขืœ ื”ืฉื ื™ ื”ื ืฉื•ื•ื™ ืฉื˜ื—?

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ื™ื•ื“ืข ืžื” ืืคื™ืœื• ื™ื•ืชืจ ืคืฉื•ื˜

west dune
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ื ืคืœืช ืœื–ื” ื’ื ื ืจืื” ืœื™

final prairie
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ืื– ื–ื”ื• ืชืจืื” ื›ื›ื”

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ED

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ื”ื•ื ื’ื•ื‘ื” ื‘ืžืฉื•ืœืฉ EOC

west dune
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ืจื•ืฆื™ื ืืช ืืœื•

final prairie
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ืื ื™ ื™ื•ื“ืข ืื‘ืœ ื™ืฉ ืœื™ ื˜ืจื™ืง

west dune
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ืื•ืงื™ื™

final prairie
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EOC

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ื•

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EOD

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ื‘ืขืœื™ ืื•ืชื• ืฉื˜ื—

west dune
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ื›ืŸ

final prairie
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ื›ื™ ื™ืฉ ืœื”ื ื‘ืกื™ืก ื•ื’ื•ื‘ื” ืžืฉื•ืชืฃ

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ืื– ื–ื”ื•

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ืชื—ืกื™ืจ Sโˆ†EOP

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ืžืฉืชื™ื”ื

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ื•ืงื™ื‘ืœืช OPC=EPO

west dune
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ื—ื™ืกื•ืจ ื’ื“ืœื™ื ืฉื•ื•ื™ื ืžื’ื“ืœื™ื ืฉื•ื•ื™ื ื ื•ืชืŸ ื’ื“ืœื™ื ืฉื•ื•ื™ื?

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ืจื’ืข ืžื”

final prairie
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ืฉื˜ื—ื™ื

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ื‘ืจื•ืจ..

west dune
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ืื•ื™ื™ื™ ื ื›ื•ืŸ

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ืชื•ื“ื” ืจื‘ื” ืœืšืšืš

final prairie
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=tex a=b\implies a-c=b-c

charred spearBOT
final prairie
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Np

west dune
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ืžื–ืœ ืฉื™ืฉ ืืช ื”ืฉืจืช ื”ื–ื” ืขื ืื ืฉื™ื ืฉืžื•ื›ื ื™ื ืœืขื–ื•ืจ

final prairie
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Yep

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ื™ืฉ ืœืš ืขื•ื“ ื’ื™ืื•ืžื˜ืจื™ื”?

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ื›ื™ ืื ื™ ืœื ืกื•ื‘ืœ ื’ื™ืื•ืžื˜ืจื™ื” ื—ื—

west dune
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ืื‘ืœ ืื™ืš ืื ื™ ืžื•ื›ื™ื— ืฉ
EOC = EOD
ืชืื•ืจืชื™ืช ืื ื™ ื™ื•ื“ืข ืื™ืš ืื‘ืœ ืžืขืฉื™ืช ื‘ื”ื•ื›ื—ื” ืžื” ืื ื™ ืืฆื˜ืจืš ืœืจืฉื•ื

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?ืžื™ืฉื”ื• ื›ืŸ ืกื•ื‘ืœ ื’ื™ืื•ืžื˜ืจื™ื” ื‘ื™ืžื™ื ื•

final prairie
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ื™ืฉ ืœื”ื ื‘ืกื™ืก ืžืฉื•ืชืฃ

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EO

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ื•ื™ืฉ ืœื”ื ืืช ืื•ืชื• ื”ื’ื•ื‘ื”

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ืœื›ืŸ ื™ืฉ ืœื”ื ืื•ืชื• ื”ืฉื˜ื—

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ื”ื’ื•ื‘ื” ืฉืœ ืฉืชื™ื”ื ED

west dune
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ืื– ืื ื™ ืคืฉื•ื˜ ืืจืฉื•ื ื‘ืžืฉืคื˜
ืžืฉื•ืœืฉื™ื ื‘ืขืœื™ ื‘ืกื™ืก ืžืฉื•ืชืฃ ื•ื’ื•ื‘ื” ื–ื”ื” ื”ื ืฉื•ื•ื™ ืฉื˜ื—

final prairie
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ื˜ื•ื‘ ืื ื™ ื”ื•ืœืš ืœื”ื›ื™ืŸ ืื•ื›ืœ :p

west dune
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ื‘ื™ื™, ืชื•ื“ื”

final prairie
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ื›ืŸ ื–ื” ื‘ืกื“ืจ

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ืื™ืŸ ื‘ืขื™ื”

west dune
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ื‘ืชืื‘ื•ืŸ

final prairie
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ืชื•ื“ื” ื—ื—

west dune
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๐Ÿ˜‰

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ื—ื— ืœื ืืžืจื• ืฉ
DC || EO
ืื‘ืœ ื ื™ืชืŸ ืœื”ื•ื›ื™ื— ื–ืืช ื‘ืขื–ืจืช
ืฉื ื™ ื™ืฉืจื™ื ื”ืžืงื‘ื™ืœื™ื ืœื™ืฉืจ ืฉืœื™ืฉื™ ืžืงื‘ื™ืœื™ื ื‘ื™ื ื”ื

final prairie
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ื‘ืกื“ืจ ื›ืŸ

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ื˜ืจื ื–ื™ื˜ื™ื‘ื™ื•ืช ืงื•ืจืื™ื ืœื–ื” ื“ืจืš ืื’ื‘

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If $$AB||CD$$ and $$CD||EF$$ then $$AB||EF$$

charred spearBOT
sudden helm
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Right triangle sides are a=18 b=24 c=30
And i have to calculate narrow-angle bisector lenght.
what formula do i have to use, if i have to?

gritty flare
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is the 18/30 angle split in half?

sudden helm
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yes and 24/30

gritty flare
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angle bisectrix theorem

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:/

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maybe

sudden helm
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there is such thing?

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wait

gritty flare
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yes of course

sudden helm
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maybe

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maybe you're right

gritty flare
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oh

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i think i got it

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narrow angle bisector splits 18 into 2 halfs

sudden helm
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are you sure?

gritty flare
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judging by it

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:/

sudden helm
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i have answers but only answers

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do you want to know?

gritty flare
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tell me the answer

sudden helm
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ok one is 9โˆš5 and other one is 8โˆš10

upper karma
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I got 8 root 10

sudden helm
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you got it?

gritty flare
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square root of 657 is what i got ๐Ÿ˜ฆ

upper karma
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And I used cosine formula

sudden helm
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i have to find that formula then probs.

gritty flare
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got ittt

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๐Ÿ˜„

sudden helm
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cool

gritty flare
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so

shy shale
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hey I need help

gritty flare
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wait Dromas

shy shale
gritty flare
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omg

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dud

shy shale
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I need 3 more questions to finish

gritty flare
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angle d = 47

upper karma
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Theย cosineย rule. We can use thecosine formulaย to find the length of a side or size of an angle. For a triangle with sides a,b and c and angles A, B and C theย cosineย rule can be written as: a2ย = b2ย + c2ย - 2bcย cosย A.

@sudden helm

gritty flare
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WHAT?

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COSINE FORMULA?

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WE DONT HAVE ANGLE DOE

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we can inverse it

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fuck

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i forgot

sudden helm
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@upper karma thanks!

upper karma
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We don't need the angle

shy shale
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ok someone dm me I need help though

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I dont want to get confused

upper karma
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Post the question dromas

shy shale
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here

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Idk how should I start this off

sudden helm
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x is 90

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if im not wrong

shy shale
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yeah x should be 90

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cause its a triangle being split in half

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I think

sudden helm
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y = 180 - 90 - 47

gritty flare
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i told him

shy shale
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ok

gritty flare
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as it is that triangle

sudden helm
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do you understand why?

gritty flare
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i forgot the name

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ugh

sudden helm
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dromas

gritty flare
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so angle C is parralel to Angle B

shy shale
gritty flare
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so angle C = angle B

shy shale
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ok I have that

gritty flare
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thus being equal to 47

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๐Ÿ˜„

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yay

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gj

shy shale
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so its not 43?

mild cargo
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It is 43

shy shale
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hello?

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ok

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good

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ok got 2 more questions and im done

mild cargo
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However, angle D is not 47

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I think you meant angle B

shy shale
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35 I need help

gritty flare
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can u zoom

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;=;

shy shale
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you going to have to read it

gritty flare
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i cant see it

mild cargo
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What have you tried?

shy shale
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ok

gritty flare
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i cant see a damn word in 45

shy shale
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can you read 35

gritty flare
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35*

shy shale
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35

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thats clear

mild cargo
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What have you tried so far?

shy shale
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trying to think

gritty flare
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omg cant you take picture up close

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I think that is Law of Sin word problem

shy shale
gritty flare
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there

shy shale
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their took a picture side ways

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like can you explain how to get to the answer, cause I don't understand how to do number 35

mild cargo
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Yeah

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Working on it

#

You know about similarity right?

upper karma
#

a. โœ“10?

shy shale
#

no

mild cargo
#

I will show you

shy shale
#

ok

mild cargo
#

Now you can work out the equation

upper karma
#

U know basic trigonometry? Dromas?

mild cargo
#

You don't need trigonometry

gritty flare
#

you redrew it wrong

#

or did you

mild cargo
#

How?

gritty flare
#

am i seeing it incorrectly

mild cargo
#

I did it correctly

gritty flare
#

am i blind

#

no one will ever know

upper karma
#

Ik but I'm using trigonometry and that's easier that way IMO

shy shale
#

so when you input the numbers I do cross multiply to find my answer?

mild cargo
#

You need to imput values first

shy shale
#

ok

mild cargo
#

What is length DC and what is length BC?

upper karma
#

Hence , โœ“10.....๐Ÿ™ƒ

mild cargo
#

But he does not know trigonometry

gritty flare
#

archytext

mild cargo
#

It is better to do it this way

gritty flare
#

look

shy shale
mild cargo
#

yeah

shy shale
#

i this far

mild cargo
#

Call the unknown value x

gritty flare
#

I dont know trig law that can actually compute that

#

:/

shy shale
upper karma
#

x^2 = 10

shy shale
#

like that?

#

square root 10?

mild cargo
#

No @upper karma

#

Oh nevermind

#

Yes

#

It is correct

upper karma
#

Also , I used tantheta and u used similarity , same idea on both our approaches , almax

mild cargo
#

Yeah

#

So you get sqrt(10) as the answer

shy shale
#

when I square root 10 I get 3.16227766

upper karma
#

I don't remember similarity now , so used tantheta

mild cargo
#

Yeah

#

I haven't learned tantheta hehe

shy shale
#

so the decimal is my answer?

#

or no

upper karma
#

Yes

mild cargo
#

you can just write it as sqrt(10)

upper karma
#

^

shy shale
#

oh ok

#

ok last question I got

gritty flare
#

Anarchetect

#

one question

#

which angles tangent did you use

upper karma
#

The angle at home

shy shale
#

This last question I need help

mild cargo
#

Do you know the formula for volume of sphere?

upper karma
#

And the angle at football field , both are complementary

#

4/3 pi r^3

gritty flare
#

PiR^2 is volume

mild cargo
#

pir^2 is area

gritty flare
#

no

#

thats area

#

english math confusing

shy shale
gritty flare
#

Volume = V

#

right

mild cargo
#

=tex 4/3pir^3

shy shale
#

I think its that

charred spearBOT
mild cargo
#

shit

shy shale
#

so how I do it

mild cargo
#

=tex \frac{4}{3}\pir^3

charred spearBOT
#

Rendering failed. Check your code. You can edit your existing message if needed.

gritty flare
#

=tex \frac {4ฯ€}{3}4^3

charred spearBOT
mild cargo
#

=tex \frac{4}{3}\pi r^3

charred spearBOT
upper karma
#

Dromas's pic of the formula is correct

#

Ahh finally :D

shy shale
#

yeah Ik

#

my teacher taught it

mild cargo
#

Having a hard time with latex

#

You just plug in the radius into the formula

#

And solve

shy shale
gritty flare
#

=calc (4pi/3) * 4^3

charred spearBOT
#

Failed to parse equation: Invalid syntax at position 2

(4ฯ€/3) * 4^3
  ^
shy shale
#

like that?

mild cargo
#

Yeah

gritty flare
#

=calc (4pi/3)*64

charred spearBOT
#

Failed to parse equation: Invalid syntax at position 2

(4pi/3)*64
  ^
upper karma
#

You'll get the answer in cm^3 . Just remember

gritty flare
#

dam

shy shale
#

for 4 to the third I get 64

gritty flare
#

:/

shy shale
#

for 64 Do I times 4 and divide it by 3 and times pie?

gritty flare
#

268 cm^3

#

4 pi devided by 3 times 64

upper karma
#

No Alex that conversion is wrong

#

It's cm^3 not cm

gritty flare
#

:/

#

ye

shy shale
#

oh ok I got got it

gritty flare
#

0.268dm^3 right?

#

:/

#

0.00268m^3 :/

upper karma
#

Ahha I don't remember conversions

shy shale
#

I this so far

gritty flare
#

1 m = 10dm = 100 cm

shy shale
#

had to calculate it

gritty flare
#

1m^3 = 1000dm = 1000000cm^3

shy shale
#

pretty sure im correct

gritty flare
#

that 0

#

bugs me

#

thats why i said app. 268

shy shale
#

yo thank you guys for helping me the 3 of the questions it helped

#

thanks

gritty flare
#

i learned a lot

#

thanks to you to

#

๐Ÿ˜„

crude kraken
#

Can someone explain the difference between a parabola and a hyperbola

dark sparrow
#

a hyperbola has asymptotes

#

a parabola doesn't

#

but also: a parabola is the locus of all points equidistant from a focus and a directrix (line)

#

a hyperbola is the locus of all points such that the difference in distances from each point on the hyperbola to the two foci is constant

crude kraken
#

Uh huh...

dark sparrow
#

a parabola has no asymptotes and only has one arm

crude kraken
#

By that image, the hyperbola does as well

dark sparrow
#

no

#

that secant plane intersects the other half of the conical surface

rare ravine
#

Hi, i found some solution to my pb

#

but i need ur help

#

Here's my function : A abs((B ln(C x + D)) / (x + E)) - F
I get this kind of courb :

#

how to make the maxima a little more at right plz ?

#

(A to F are constants)

upper karma
#

You want to shift the graph to the right?

#

Or exactly what do you mean?

rare ravine
#

i want to shift the courb to the right

#

but if i do it directly, i get no values at little abscissas

upper karma
#

uhmmm does A abs((B ln(C (x-1) + D)) / ((x-1) + E)) - F

#

not work?

#

or something like that?

rare ravine
#

x+1, not -1

upper karma
#

oh ok

rare ravine
#

but no

#

it doens't resolve

upper karma
#

I dont know what is happenin in that case then ๐Ÿคท

rare ravine
#

dw

#

someone ? :/

rare ravine
#

it's resolved now ^^

past mantle
white swift
#

what is radical form ๐Ÿค”

past mantle
#

=tex \sqrt(x)

charred spearBOT
white swift
#

o yes right

#

radical as in sqrt

#

its isoceles ๐Ÿค”

#

have you done trigonometry? ๐Ÿค”

past mantle
#

no, im not in trig yet

white swift
#

how the fuck do you do them then lol

#

have you done 10

#

o pythagorean?

dark sparrow
#

=tex \sqrt{x}

charred spearBOT
dark sparrow
#

@past mantle

#

anyway

#

these are all isosceles right triangles

#

their sides are in the ratio 1 : 1 : sqrt(2)

past mantle
#

maybe since its a 45-45-90 triangle, maybe $$15 = l\sqrt{x}$$

dark sparrow
#

\sqrt{x}

charred spearBOT
past mantle
#

x should be 2

#

in the square root

dark sparrow
#

well then write \sqrt{2}

#

lol

past mantle
#

i got $$\frac{15\sqrt{2}}{2}$$

charred spearBOT
dark sparrow
#

which one?

past mantle
#

is that right?

dark sparrow
#

9?

past mantle
#

for 9

dark sparrow
#

yeah

past mantle
#

๐Ÿ˜„

#

i did in my work $$\frac{15}{\sqrt{2}}*\frac{\sqrt{2}}{\sqrt{2}}$$

#

...

dark sparrow
#

backslashes!

charred spearBOT
tranquil ridge
#

I'll try here

#

Can any1 help me with this?

west dune
#

We don't know what's the data which were given

tranquil ridge
#

I need to count the area of A

west dune
#

Again... give us the question's data

tranquil ridge
#

uhm

#

do u mean i should translate the question

#

sorry im not a native speaker but I can translate it if thats what you mean

west dune
#

So translate please

tranquil ridge
#

So the quadrilateral is divided to four pieces by drawing diagonals. Three areas of the pieces have been marked. Count the area of the fourth piece A

#

Tell me if you cant understand

modern sonnet
#

@tranquil ridge

#

Yo

tranquil ridge
#

hey

modern sonnet
#

Iโ€™m here

#

But firsy

#

*first

#

I need your help to label all vertices on that diagram

#

Including the intersection of the diagonals

#

Just to make it easier to communicate

tranquil ridge
#

Uhm

modern sonnet
#

Label whatever way you want

tranquil ridge
#

just a sec

modern sonnet
#

Take your time

tranquil ridge
#

So I need to name 4

#

right

modern sonnet
#

5

#

Thereโ€™re 5 points to name

tranquil ridge
modern sonnet
#

I said vertices =.=

#

Hang on

tranquil ridge
#

Im sorry english isnt my native language xd

modern sonnet
#

Iโ€™ll do it myself

#

Give me 2 minutes

tranquil ridge
#

Oh you meant edges

#

Well Im in no hurry I just want to solve this

modern sonnet
#

No not edges.

#

Points

tranquil ridge
#

Ah sorry

modern sonnet
#

So

#

You wanna find the area of DEC

#

Okay

tranquil ridge
#

Yes

modern sonnet
#

First, have a look at triangles ABE and CBE

tranquil ridge
#

mkay

modern sonnet
#

They share the same perpendicular height dropped from B

tranquil ridge
#

yep

#

wait doesnt perpendicular line form a right angle

modern sonnet
#

See the line in blue?

tranquil ridge
#

yes

modern sonnet
#

(Itโ€™s not the same line as BC by the way. Letโ€™s call it BH)

tranquil ridge
#

yeah

modern sonnet
#

Then area = 1/2ร—heightร—base

#

So Area of ABE = 1/2ร—AEร—BH

#

Area of CBE = 1/2ร—CEร—BH

#

In other words,

tranquil ridge
#

Im still with you ๐Ÿ˜„

modern sonnet
#

=tex \frac{\text{Area of ABE}}{\text{Area of CBE}} = \frac{AE}{CE}

charred spearBOT
modern sonnet
#

Oh hey it worked

tranquil ridge
#

thats noice

modern sonnet
#

So now you can find AE/CE

#

The ratio

#

Now, by the same logic,

#

=tex \frac{\text{Area of ADE}}{\text{Area of CDE}} = \frac{AE}{CE}

charred spearBOT
modern sonnet
#

In other words,

#

=tex \frac{\text{Area of ABE}}{\text{Area of CBE}} = \frac{\text{Area of ADE}}{\text{Area of CDE}}

charred spearBOT
modern sonnet
#

And so you can find the area of CDE because you already know the other 3

#

Done!

tranquil ridge
#

ill try to get the answer

modern sonnet
#

Itโ€™s just calculator work

tranquil ridge
#

yep

#

I got it!

#

Thank you so much

modern sonnet
#

Is it 9.6

#

Iโ€™m trying out quick mental mafs

tranquil ridge
#

It is

modern sonnet
#

2+2 is 4

#

Oh wait that meme is banned

#

Okay!

tranquil ridge
#

dont say it ๐Ÿ˜„

modern sonnet
#

Glad I could help

tranquil ridge
#

yeah thanks a ton

#

never could have solved that by myself

shy shale
#

So I went to tutoring today after school and the teacher was helping me for geometry before the test

#

And it helped

past mantle
#

If there is a 45-45-90 triangle, is the hyponeuse $$l\sqrt{2}$$

charred spearBOT
upper karma
#

if anyone needs like help in physics, chemistry, biology, etc lmk

red citrus
#

hi guys

#

im a freshman and im taking Honors Geometry

#

can any1 help me understand rotations on a coordinate plane and how a-(a-c)=2a-c

umbral snow
#

a - (a - c)
= a - a + c
= c
It doesn't

red citrus
#

wtf

#

my teacher made like 99 problems like that

bronze harbor
#

@red citrus ur a freshman and ur 10

#

xd

red citrus
#

yes man imma genius

#

@umbral snow

bronze harbor
#

lies

red citrus
#

look

#

bottom problem

bronze harbor
#

i hate geometry so much ngl lol

red citrus
#

imagine taking honors

#

thats like geometry mixed with algebra II

bronze harbor
#

i do well in algebra

#

but when it comes to graph and geometry

#

๐Ÿคฆ

red citrus
#

lol

native night
#

I like how your grader drew clouds over the incorrect parts

red citrus
#

Lol

tropic stirrup
upper karma
#

random question: when you're adding segments are you supposed to put the bar thingy on top?

#

if anyone needs help in calculus/or math in general i can help(edited)
im on a lot these days
but please PM me tho, im in so many channels i forget to come here
just wanna help since my projects are finished ๐Ÿ˜ƒ

#

but if someone can answer for them that works for you but if you see me online shoot me a question

dark sparrow
#

@Greenie#4023 adding segments?

#

@upper karma

upper karma
#

@dark sparrow like Segment AB=Segment AC+CB

#

Do you do AB=AC+CB or actually put the line on top

dark sparrow
#

do you mean vectors?

#

bc if you're talking about segment lengths then that's only true when C is between A and B

upper karma
#

yeah

#

but notation

dark sparrow
#

anyway... notation

#

ffhh

#

i'd prob put an arrow over them

#

it's a bit of a bitch to TeX but

#

=tex \overrightarrow{AC} + \overrightarrow{CB} = \overrightarrow{AB}

charred spearBOT
upper karma
#

Oh okay

#

thank you

jade breach
#

@dark sparrow Isn't that for rays tho?

dark sparrow
#

uh

#

no?

#

i've seen [AB) for rays

#

but arrows are definitely vectors

jade breach
#

I meant the arrow thingy above the letters

dark sparrow
#

yes

#

those denote vectors pretty much always

jade breach
#

ok

opaque kayak
#

I came up with my own question:

Show that the sum of two gradients A and B, is: https://prnt.sc/hi9tde
for example, shown in this picture: https://prnt.sc/hi965n
You can see that the gradient of the original blue line is 1/2 and of the red line is 1/3
You can see that the new blue line has a gradient of 1 which is (1/2 + 1/3)/(1-(1/2)(1/3))

Am I overlooking any simple solutions to this?

Lightshot

Captured with Lightshot

Lightshot

Captured with Lightshot

dark sparrow
#

=tex \tan(x+y) = \frac{\tan(x)+\tan(y)}{1-\tan(x)\tan(y)}

charred spearBOT
opaque kayak
#

that's the intended solution, yes, by converting the gradients to angles such that tan(x) = A and tan(y) = B so x and y are the angles so tan(x + y) gives you the gradient of the new line

#

but is there anything simpler, eg no trig?

surreal bolt
#

Let complex numbers P, Q be P =a + bi, Q = c+di. (P)(Q) will have angle = sum of the angles of P and Q.
PQ = (ac -bd) + (ad + bc)i

Slope of PQ = (ad+bc)/(ac-bd) = (d/c + b/a)/(1-(b/a)(d/c)) Voila.

#

=tex P = a + bi, Q = c + di
\ (P)(Q) = (ac - bd) + (ad + bc)i
\ m = \frac{ad+bc}{ac-bd} = \frac{ad+bc}{ac-bd}\cdot\frac{1/ac}{1/ac}
\ = \frac{d/c+b/a}{1-(b/a)(d/c)} = \frac{b/a + d/c}{1-(b/a)(d/c)}

charred spearBOT
past mantle
#

i dont understand this problem from the new chapter

#

number 30

thorn talon
#

Well

#

You can determine the internal angle

#

Since all internal angles are equal and angle sum

#

And then x is 180 - internal angle

#

Since angles on a straight line

#

Though

#

I'm pretty sure you can also just divide 360 by 5

minor quest
#

@thorn talon I thought he said 30

thorn talon
#

i can't read

minor quest
#

Xd

thorn talon
#

whoops

minor quest