help-0

[elder cloud]

that’s what im saying

they are smart

[alpine sable]

we aren’t better at maths

Yes and?

[alpine sable]

so we know have a fraction and I don’t know how to use latex so I’m going to write it in text

Post a neat pic of your solution

[ripe bolt]

i still struggle with fractions.

[alpine sable]

alright sure give me a sec because my standard handwriting is extremely messy

[ripe bolt]

i dont know my left from right

[alpine sable]

Take your time but not too much

Damn I’m sorry I ran into a contradiction

Looks like I wasn’t smart enough to solve this

Maybe ping helpers in a few minutes?

How can i do ({ -15x + 3y = -6, 13x + 4y = -8}) , since i can't use ||*n

[celest anvil]

huh?

[alpine sable]

Who are the helpers?

This server is full of clowns

No one can help

[elder cloud]

let them try bruh 😭

[alpine sable]

Anyone have a clue how to help me?

[celest anvil]

@alpine sable ping the helpers

just do @ helpers

[celest anvil]

what is your question i dont understand it

[alpine sable]

<@&286206848099549185>

This <@&286206848099549185>

[tight locust]

solve for one variable and then substitute

[alpine sable]

s

[alpine sable]

What is the problem in this you are facing?

Seems easy

Well i was used to ||*n both of them, i haven't done an uneven number one

[alpine sable]

uh please don't double ping helpers ... also I don't really have an idea on how to solve this problem so sorry

[alpine sable]

Shut up pls

[night tundra]

Can I ask for help in this server if it not homework?

[thorny gull]

yo whats an imanginary number?

[sly mantle]

refrain from making comments like these

also yes, ping helpers just once

[ionic jewel]

you get imaginary numbers when you take the square root of negative numbers

[thorny gull]

thanks man

[celest anvil]

so find a single variable for any equation and plug it into the other one. let's say 3y=15x-6, divide by 3, y=5x-2. you put that into the other equation so that 13x+4(5x-2) to find the answer for x. then you plug the value of x into y=5x-2

[alpine sable]

Ping me only if you can help don't waste my time here

[night tundra]

I need help this and yes this is not homework

[alpine sable]

[alpine sable]

I can't see the paper properly

[celest anvil]

@alpine sable does that make sense?

also i see you're also in mechkeys and kbdfans lol

[alpine sable]

I'm sorry, I was rude to you

[alpine sable]

I accept your apology

Listen

[alpine sable]

Shouldn't it be 3y = -6 + 15?

I have changed the question

Everyone listen to me

[celest anvil]

same thing

wait no

3y=-6+15x is the same thing

[sly mantle]

do you insist on being rude toward others? if so then you'll be out

[alpine sable]

Instead of finding the min and max values of |z|, find the locus of z.

[alpine sable]

forgot the x soz

[celest anvil]

but you get it or nah

basically solve for one variable and plug it into the other equation

[alpine sable]

I think so, anyway ill try that.

[alpine sable]

I only want help, I don't want to indulge in any kind of arguments/hate speech. Thanks for your kind words.

[celest anvil]

search up systems of equations on youtube if you need more explanation

[alpine sable]

<@&286206848099549185>

[celest anvil]

bro we got kids sending in their homeworks now in class lmao

[sly mantle]

b& hazy

[celest anvil]

f

[celest anvil]

ok prob 1 what is length of x to y

[night tundra]

Thank you

[celest anvil]

np

prob 2 length of x to y is just 24 minus length of y to z

[night tundra]

The class is doing the number version

[celest anvil]

what is the length of y to z?

[night tundra]

See

[night tundra]

8

[celest anvil]

24-8 is your answer

[night tundra]

24

[celest anvil]

16

[night tundra]

What about number 1

[celest anvil]

what do you see

what are the 2 numbers that make up the length

[night tundra]

7 and 9

[celest anvil]

yes you should add them right to get the entire length

7+9=16

[night tundra]

Do I do 3 the same

[celest anvil]

wait sorry 16 is the answer for 3

i thought 3 was 2

[night tundra]

It alright 😊

[celest anvil]

so for 2 you are given z to x is 5 and z to y is 12

the answer for x to y is z to y or 12 minus z to x or 5

so it's just 12-5

you can also think what number plus 5=12 or 5+x=12

[night tundra]

Where

[night tundra]

The answer is 5

[celest anvil]

No

5+5=10

The total length is 12

You are trying to find the segment where 5+x=12

[night tundra]

Oh

Can you teach me in dm please

[celest anvil]

Are you in school?

[night tundra]

Yes

What about 8

[celest anvil]

You should ask your teacher

They will probably explain it better

Because im guessing you didn’t learn algebra yet

[alpine sable]

Whay went wrong?

[night tundra]

He just us right now please let me dm you right now

[celest anvil]

Simplify the 3y equation into just y before you substitue

[celest anvil]

Go send a pic of wha u need

[celest anvil]

Divide everything by 3 so you get y

[alpine sable]

Could you mark them, i dont know all these english terms

[celest anvil]

y=-2+5x

[alpine sable]

Alright thz

Like this?

[celest anvil]

33x should be positive but yeah gj

Then you do y=-2+5(0)

[alpine sable]

I get brain farts, i get stupid things like that accidently

[celest anvil]

Lol

[lusty plaza]

gotta start lining up your = and using the lined paper to your advantage

[alpine sable]

It's my #1 problem

[lusty plaza]

tidiness helps so much in not making arithmetic errors

and transcription errors

[alpine sable]

Thx for the tips and help

Much appreciated

[full lantern]

is there a way to count the number of distinct partitions without using a generating function?

i've thought about using bars and stars to do it but that would over-count

[alpine sable]

Can someone help with c)

[oak chasm]

@alpine sable Sorry, channel is busy.

[jade canyon]

pi/3 ，4pi/3

[alpine sable]

@jade canyon please don't give away answers, it doesn't help them learn and doesn't follow the purpose of this server.

[jade canyon]

tanx=sqrt3

x=pi/3，4pi/3

[glass lichen]

read what Al wrote...

[jade canyon]

what?

[oak chasm]

@jade canyon For helping, read the rules in #❓how-to-get-help. One of them is to not just give the answer, but to lead them through how to get the answer.

That way, it helps them to understand how to get the answer so they can do well on tests and so on.

[hybrid blade]

Hello

[oak chasm]

Hello.

[sand jetty]

Hello

[jade canyon]

Hello

[alpine sable]

how do i write this as a sqaure root

[jade canyon]

$\sqrt{25}$

[ocean seal]

QAQ

[jade canyon]

@alpine sable

[alpine sable]

hii

wait

but wouldnt 25 be an exponent

cus its multiplyin it by 1/2

[ionic jewel]

that is an exponent, not multiplication

[oak chasm]

The 1/2 is supposed to be seen as if it's up above the number.

[ionic jewel]

"raised to the one half power"

[jade canyon]

what

[alpine sable]

im so confused rn

idk what everyone is saying

[ocean seal]

Chai T. Rex

[alpine sable]

so what wud b the answer to

[celest anvil]

sqrt25

[glass lichen]

we dont give answers... but it was already stated

[ocean seal]

Chai T. Rex

[alpine sable]

WAIIITT

I THINK I UNDERSTAND

BC

IF IT WASNT LIKE IN A SQAURE ROOT

IT WUD BE

25^1

BUT BC 25^1 IS THE SAME THING AS 25

ITS 25

IS THAT RIGHT???<

[ocean seal]

Chai T. Rex

[alpine sable]

OHHHHH

OK TYSM

FOR CLARIFYING

NOW I UNDERSTAND

[oak chasm]

No problem.

[alpine sable]

(:

and this would b √1/a^4

rught?

[oak chasm]

Nope, with a fraction, you put the exponent on the whole top and on the whole bottom.

[ocean seal]

Chai T. Rex

[oak chasm]

See how I put the fraction's exponent on the whole top and the whole bottom?

@alpine sable

[alpine sable]

kind of

oh for this question im suposed to write it as a square root

if u didnt know

sorry i shud have told earlier

[oak chasm]

Oh, OK.

[ocean seal]

Chai T. Rex

[oak chasm]

See how I turned the 1/2 exponent into a square root?

[alpine sable]

yes

[west solstice]

cant we simplify the a^2 to a?

[oak chasm]

Yes, a square root of a fraction is the square root of the top over the square root of the bottom.

[ocean seal]

Chai T. Rex

[west solstice]

$\frac{\sqrt1}{a}$

[oak chasm]

Almost.

The squared is missing.

The square root of 1 is 1.

[west solstice]

ok i see it would be

[oak chasm]

The square root of a² is |a|.

[ocean seal]

DeepRNA

Chai T. Rex

[alpine sable]

it just says rewrite the folliwing expressions as square roots

[oak chasm]

Oh, then this ^

[ocean seal]

Chai T. Rex

[alpine sable]

ok ty

[oak chasm]

You're welcome.

[pale cloud]

i need help

how do i do this?

[oak chasm]

@pale cloud Do you know how to convert degrees to radians?

[pale cloud]

multiply the degree by pi/180?

[oak chasm]

Right.

So, arc length is radius times radians.

Which is sort of easy to remember if you can.

So, you multiply the radius times the radians.

[pale cloud]

but isnt arc length circumference times the degree/360?

[oak chasm]

Circumference is 2 pi times the radius, right?

[pale cloud]

yeah

[oak chasm]

And the angle of a full circle is 2 π, right?

[pale cloud]

mhm

[oak chasm]

So, it's the radians times the radius.

The arc length of the entire circle is the radius times the radians of the entire circle.

And that works for smaller angle arc lengths, too.

[pale cloud]

ohh so i need to convert 20 degrees to radians and times it by 10?

[oak chasm]

Yes, that's right.

[pale cloud]

okay thank you

[oak chasm]

You're welcome

[small bear]

I have the following inequalities $|a|\leq 2, |a+b|\leq 2, |a-b|\leq 2$.

[ocean seal]

peaceGiant

[oak chasm]

OK, so the last one is the distance formula.

[small bear]

Could for all numbers $\lambda \in [-1, 1]$ the following hold $|\lambda a + b| \leq 2$

[ocean seal]

peaceGiant

[oak chasm]

Let me check.

[small bear]

I feel like it should hold, but can't quite show how, are you perhaps checking a program to confirm it?

[oak chasm]

It appears to be true.

Yes.

[small bear]

That's good, thank you, I'll fiddle around with it and see where it takes me.

It's good to know it holds.

[oak chasm]

 let xs = [(a, b) | a <- [-2, -1.9375 .. 2], b <- [-4, 
-3.9375 .. 4], abs a <= 2, abs (a + b) <= 2, abs (a - b) <= 
2]
ghci> all (\ (a, b) -> all (\ l -> abs (l*a - b) <= 2) [-1, 
-0.9375 .. 1]) xs
True

So, for integer multiples of 1/16th in those ranges, it works.

[small bear]

Wonderful, thank you.

[oak chasm]

You're welcome.

[woeful pulsar]

hmm looks like you should sketch those inequalities on the x-y plane (with x=a, y=b)

then you can visualise how it looks

[small bear]

Yeah, that probably will help with the proving that it's right part, however I'm working on an algebraic solution and really want to show it that way.

However it's still a great idea!

Thanks.

[ionic jewel]

is haskell your language of choice?

[oak chasm]

For simple checks of stuff like this, yes.

I also use it to check simple combinatorics stuff.

[rich belfry]

I don’t understand what this is even asking me if anyone has any thoughts please let me know.

[modest dragon]

in 4.a the aswer is 105, why? because be have 3 points, and E is the "pivot" so if you can see again the angle that you have is 105 (that replace m)

[wary stream]

It wants you to measure the angle it asks for

[oak chasm]

@rich belfry Angle AEC is the angle where you touch where A is, follow along and you move directly to E, change direction and move directly to C.

AEC, move from A to E to C.

E is where the angle is actually located.

Does that make sense?

[rich belfry]

Yeah! For the M<BED would I do anything differently?

[oak chasm]

Nope. Start at B, move to E, move to D.

Angle is at the middle letter E.

You have to change direction and that change is the angle.

[ornate rover]

I need help with this

It should be easy

[oak chasm]

@rich belfry Did you need any more help?

[ornate rover]

@oak chasm I need some help

[rich belfry]

Still don’t understand the second one. It should be easy but I am just dumb. B is 45, E sits at 0, and D sits at 130 so since it doesn’t start at 0 how do I go about getting the answer

[oak chasm]

@ornate rover Sorry, channel is busy. It looks like #help-7｜zen1thxyz is open, though, if you hurry.

[wary stream]

This channel is busy, ask in a different channel

[rich belfry]

I’m just trying to understand the process for when I have more problems like this, I knows it’s simple but yeah.

[oak chasm]

@rich belfry OK, so E is in the middle of the protractor's circle.

[rich belfry]

Yeah

[oak chasm]

So, what you do is you take the angle B is marked at on the protractor.

You take the angle D is marked at on the protractor.

Then how far away is B from D?

[rich belfry]

85?

[oak chasm]

Nope, what's B's angle?

[rich belfry]

45

[oak chasm]

What's D's angle?

[rich belfry]

130

[oak chasm]

OK, the distance formula is |45 - 130|.

What's 45 - 130?

[rich belfry]

-85

[oak chasm]

And the absolute value of that is 85.

Now, the angle of B is a little off from 45.

It's about 46 or 47, right?

[rich belfry]

Seems more like 42-43

[oak chasm]

No, you have 40 and 50.

Then you have the mark between them for 45.

Then it's between 45 mark and 50 mark, right?

[rich belfry]

Yeah

[oak chasm]

And it's not quite halfway between the 45 and 50 mark.

It's closer to 45.

So, let's say it's 47.

[rich belfry]

Ohhhhh

I must be blind

[oak chasm]

|47 - 130|

[rich belfry]

Your right

[oak chasm]

What's |47 - 130|?

[rich belfry]

83

Or -83

[oak chasm]

Good, so it's about 83 degrees.

No, you take the absolute value to get the distance between the angles.

For angles that aren't in standard position, you generally want the positive version of them.

[rich belfry]

Ok

[oak chasm]

Or the zero version if they're zero 🙂

But they shouldn't usually be negative.

[rich belfry]

Well your a live saver! If it’s okay I’m going to take a second to write some of this down so I remember 😃

[oak chasm]

Sure!

[rich belfry]

They said If didn’t understand it to just stay so but I need to figure this out anyway. Just part a. if anyone has and suggestions as to how to work this out. Just started geometry and I’m trying to get the basics down but I’m not good with understanding this.

This will be my last question for a while I know you all are busy.

[left citrus]

Alright

So the distance from J to L is 25 righ?

Right?*

[rich belfry]

Yep

Is just asking what n is

[left citrus]

So what is the distance of 3n +5n-7

Did you get the hint?

[rich belfry]

Need more so no I guess

[left citrus]

Ok so the distance from J to K is 3n yeah?

[rich belfry]

Yeah

[left citrus]

And the distance from K to L is 5n-7

[rich belfry]

I know you do something with both sides

[rich belfry]

Yeah

[ripe remnant]

Yh

[left citrus]

So if you add these distances you should get the same as 25 because JL is 25 right

[rich belfry]

Ok

[left citrus]

Do you sort of understand it?

[rich belfry]

Sort of

Well

Give me a sec

[left citrus]

Alright so imagine the distance between a tree and a car is 25m

[left citrus]

Alright

[rich belfry]

Ok

[left citrus]

And there is a bike in between the tree and the car

[rich belfry]

Ok

[left citrus]

The distance from the car to the tree is 25

[rich belfry]

Yeah

[left citrus]

The distance between the car and the bike is 3n

And the distance between the bike and the tree is 5n-7

[rich belfry]

So what do I do with them

[left citrus]

So when you add these distances you should get 25 right?

[rich belfry]

Also that analogy is good

[rich belfry]

Yeah

[left citrus]

Because when you add them the distance is the same as the car and the tree

Alright so now we can say that 3n+5n-7 = 25 right?

[rich belfry]

So n is half of 25

12.5 or 12

12

[left citrus]

No because 3n and 5n-7 aren’t the same

[rich belfry]

Ok

[left citrus]

But when you add them you should still get 25 so this

Or how about let’s say what I did is right for now and I’ll explain why after the answer

[rich belfry]

Ok

[left citrus]

So now 3n+5n-7=25

Can you solve n by doing algebra

[rich belfry]

N=4

[left citrus]

8

No sorry

You’re correct 😂

So correct n is 4

Now put n into 3n

You get 12 right

[rich belfry]

Yeah

[left citrus]

And put n into 5n-7 you get 13 right

[rich belfry]

Yeah

[left citrus]

So you add 12 and 13 you get 25 right?

[rich belfry]

Yeah

[left citrus]

So what you got for n is correct

So basically at the start what you did is you don’t know n but you know the full length so all you did was algebraically find it

[rich belfry]

Ok! Thank you! 🙏

[left citrus]

Do you get it? Because I want you to grasp it ya know?

[rich belfry]

Yeah just trying to figure out this algebra stuff cause it’s been a year of online and algebra has left my brain

And now we got geometry 😭

[left citrus]

Alright nice 🙂 Don’t worry about it if you have questions just ask on here or dm me:)

[rich belfry]

Yeah. Thanks! Really helped my out!

[left citrus]

Algs

[rich belfry]

How does it become 13 is its -? @left citrus

[left citrus]

Sorry can you phrase it again?

[rich belfry]

If your doing 6n-7 how is it positive 13?

[left citrus]

Isn’t it 5n-7

[rich belfry]

I know it’s right just wondering how

[rich belfry]

If you add n it’s 6n

[left citrus]

But why are you adding n

[rich belfry]

You said and put n into 5n-7

This is for the second part btw

[left citrus]

Oh i meant substitute n into 5n-7

You know how the n is 4?

[rich belfry]

Yeah

This is to get the second part

The KL

KL

[left citrus]

So 5n-7 = 5(4)-7 = 13

[rich belfry]

Help

[left citrus]

Alr

So you know for a fact that n = 4 yeah?

[rich belfry]

Wait nvm

Cause if it only equals 25 and I know that the first part is 12 then obviously the rest will be 13

Thanks for the help!!

I appreciate it a lot

[left citrus]

No worries

[fading meadow]

EXERCISES
Justify each step, using commutativity and associativity in proving the
following identities.
1. (a + b) + (c + d) = (a + d) + (b + c)
2. (a + b) + (c + d) = (a + c) + (b + d)
3. (a — b) + (c — d) = (a + c) + ( — b — d)

I'm reading a book and he is asking me to do these exercises. I don't fully understand what "justify each step" means. Am I suppose to play around with commutativity and associativity on the left side until it equals the right side?

[misty holly]

i think he is asking for proofs that will make these expressions true

idek lol

[fading meadow]

Wouldn't he ask me to prove each one then? Later on he says "2. Prove the cancellation law for addition:" so I don't think so

maybe you're right

https://youtu.be/iQ9KKohrD-Y?list=PLMcpDl1Pr-viA25VUkHNmcUkWx9usPgyb&t=1631 this guy tried explaining it

but i'm still lost

I set it to the timestamp

yeah you're right

thanks

[odd lodge]

o

[fading meadow]

(a + b) + (c + d) = (a + d) + (b + c)
a + (b + (c + d)) assoc.
a + (b + (d + c)) comm.
a + ((b + d) + c) assoc.
a + ((d + b) + c) comm.
a + (d + (b + c)) assoc.
(a + d) + (b + c) assoc.

Like that?

[rain crater]

hello

could someone help me with a question? about integral

[left citrus]

Maybe but unlikely

[zenith spruce]

help with math

please

[left citrus]

Alright question?

[zenith spruce]

just like

starter math

im preatty bad at math

[left citrus]

Alright gimme the question and ill help

[zenith spruce]

thx

[left citrus]

Np

[zenith spruce]

waity

i know a math question

wait

nvm

WAIT

got it back

(165 / 817) * 10 = 2.01958384333

@left citrus

[left citrus]

Alright

[zenith spruce]

is it good?

math

[left citrus]

Yes

[zenith spruce]

YAY

im pro 😎

[ionic jewel]

is the only choice addition?

if its only addition, yes

5+7+11

only addition?

presumably no subtraction, but can i use other operators?

multiplication and division?

closest i see is 24 but idk how to rigorously show if you can or cant get 23

so to be clear the rules are

1. we have to use all the numbers, but in no particular order
2. the only valid operators are multiplication, division, and addition (and parenthesis)

Is that right?

you said no subtraction, thatll make it much easier

2*((13-11)+7)+5

it was guess and check though, not sure how you are supposed to do those in general

[glass elm]

Is there any really good online guide/video/site to learn Calculus?

[ionic jewel]

khan academy, pauls online notes

[glass elm]

And what are the prerequisites?

Like, before learning Calculus, what do I go through?

[ionic jewel]

algebra

thats about it

[glass elm]

And Trigonometry?

[ionic jewel]

some curriculums have a class called precalc but its kinda useless anyways

calc doesnt really depend on trig, but you should definitely learn it first anyways

[glass elm]

And I assume Differentiation and stuff is a part of Calc, right?

[ionic jewel]

yes

[glass elm]

Mhm, I may have forgotten a ton of stuff, so, gotta read thru them again

[ionic jewel]

good idea

[glass elm]

ty! will use khanacademy

[full lantern]

hey could someone help me out with this 🙏

[oak chasm]

@glass elm Go to the bottom of the Khan Academy precalculus course page. There's a test. It'll tell you what to study up on. https://www.khanacademy.org/math/precalculus.

[glass elm]

ty! will do that

[oak chasm]

"Course challenge" section.

You're welcome.

[ionic jewel]

j'ai un traducteur

ce qui signifie que je peux lire et envoyer en français, mais je ne pourrai pas comprendre ce que disent les images

donc si ça marche pour toi, alors oui je parle français

@icy lantern

[wheat condor]

can someone help w a calc q?

[ionic jewel]

Je n'accepte pas les messages directs, je vais seulement aider ici

je ne suis pas sûr

si vous avez une question maintenant, je peux vous aider à répondre

[ionic jewel]

you can post it

[ionic jewel]

could you take a worse picture?

[cursive condor]

“Of course, one sec..”

[hollow widget]

you get $10 each 3m and 20s how much money do u get in 12 hours

[rigid smelt]

Find the speed i.e the rate at which you earn money and just multiply it by the time

[hollow widget]

i already have the speed.

3 minutes and 20 seconds.

[rigid smelt]

Thats not really the speed

Usually would want a change over a singular amount of time

For example dollar/sec

Dollar/hour

Months, minutes, years

Thats the rate of change

[hollow widget]

the game gives me $10 each 3 minutes and 20 seconds.

wth do u want me to do.

[rigid smelt]

Ok

[hollow widget]

😦

[rigid smelt]

Yeah keep ignoring what i said and being entitled

Good luck getting help

[hollow widget]

cool

want me to be entitled

YoU hAvE tO hElP Me

JuSt hElP mE

LiStEn mAn HelP mE

there ya go

it cant change how much the game gives u if its already coded in and i didnt make it :/

[wooden summit]

@icy lantern

1x1

[sage bronze]

?

Bruh

[surreal meadow]

je ne peux pas parler francais

[full lantern]

could i ping helpers for this 😔

[wary stream]

You should repost it since it's been hours ago since you asked that

[full lantern]

oh for sure

[jolly stone]

integer partitions is pretty much impossible without generating function or manually counting

[full lantern]

i see hmm

i thought i could come close with bars and stars since it makes sense

the wikipedia article has maths a bit too advacned for me

haha

[jolly stone]

stars and bars will definitely overcount

[full lantern]

yep

hmm should i just learn how the generating function works then?

[jolly stone]

yep but it's known to not have a closed form yet for number of partitions of n

[full lantern]

ah i see, thank you so much :) much needed assistance

[jolly stone]

[plush wagon]

How do divide $\frac{x^2 + 1}{x^2-5x+6}$ by long division?

[ocean seal]

Samarth

[plush wagon]

I forgot long division!😅

[bitter sage]

can anyone help me with this?

im assuming attitude is altitude

[viscid topaz]

What level of math/class are you in? That's going to shape how we're going to figure out the answer. Also assuming that these planes are all on a plane, not on an oblong spheroid, like Earth, cuz that would be a radically different answer

[bitter sage]

its gr 12 calculus

[viscid topaz]

Pearson airport, where is it? If we were to make a map, I guess we would need to figure out some sort of coordinate system, right? Let's just say Pearson is at the origin, 0,0

[bitter sage]

ok

[viscid topaz]

An airplane flying east at 360 km/hr, can you find an equation that calculates the x coodinate of that plane as a function of time, and an equation that calculates the y coordinate of that plane, as a function of time?

Or rather, function, not equation

[muted owl]

for this

i found one criteria

b = m

what else

[sage bronze]

$$\angle B = \angle M$$ $$\angle A = \angle A [common]$$

[ocean seal]

HELLOBELLO

[pale urchin]

figure out how many 3mins and 20 secs there are in 12 hours

[sage bronze]

from this we can say $$\angle C = \angle P$$ and apply AAA similarity postulate

[ocean seal]

HELLOBELLO

[sage bronze]

from there you can use the fact that both triangles are similar to solve the second part

@muted owl

[muted owl]

ohh thanks

i had already gotten b and a but thx for the hird

[sage bronze]

no problem

[alpine sable]

https://cdn.discordapp.com/attachments/486844829209198613/877765676272586792/image0.jpg

@sage bronze

[sage bronze]

use the distance

formula

[alpine sable]

Idk how

[sage bronze]

ok

wait

here $x_2$ will be the x co-ordinate of the second point (Point P) and $x_1$ will be the x coordinate of the first point (point J). Similarly $y_2$ is the y co-ordinate of the second point (Point P)

[ocean seal]

HELLOBELLO

[sage bronze]

you have been given the values of the x and y co ordinates of both points

you just plug them into this formula and you get the distance

@alpine sable

[alpine sable]

Should I bribe my teacher with $500 to pass me

[ionic jewel]

boy do i have bad news for you

[alpine sable]

?

I'm in 11th grade

[ionic jewel]

trying to bribe someone with only $500 is much much more likely to just get you reported and expelled

[alpine sable]

Bro thats more than these teachers make in a month you know

Im paying their yearly salary just like that

I cant be doing all this math its too much

[ionic jewel]

teachers earn about $60,000 a year, your $500 is not that significant

outside of the whole being unethical and probably illegal

[alpine sable]

Nah nahh i wont get caught

What about 1k$

[ionic jewel]

[clever folio]

What about just studying? Lmao.

[alpine sable]

I cant study what i dont know

I'm 2 yrs behind in math theres no saving me

[ionic jewel]

wheres ur name

[alpine sable]

What if I try to fight my teacher like if i win a boxing match i pass

[clever folio]

What if you just study instead?

[alpine sable]

Bro I told U i cant study what I dont know

Im too far gone

[clever folio]

You definitely can study whatever ur missing.

[alpine sable]

Idk anything past algebra 1 and im in pre calc

What does that tell you

[clever folio]

Sorry not you lol

[alpine sable]

Like I passed geometry Cuz covid cut the year off

Then algebra 2 I cheated online

I barely even know algebra 1 actually like maybe i can do 2 things

How much money should I offer my teacher

[clever folio]

I started from algebra one and worked my way thru the whole calc sequence.

[alpine sable]

Well Im not like u bro

Im 2 yr behind

Its too much for me to handle

[clever folio]

Actively refusing to learn things you don't know won't help.

[alpine sable]

Bro here my issue idk what to study

Idk what anything is called

If I knew what was going on i could maybe get something done

[clever folio]

You're struggling with algebra 1 right?

[alpine sable]

No i think they doing algebra 2

in my class rn

[clever folio]

But I'm saying you don't actually know alg 1 specifically.

[alpine sable]

Ya i know like 1 of it

1%

[clever folio]

So that's probably where you should be picking up from?

[alpine sable]

Maybe but wtf do i even look up

[clever folio]

Khan academy works, algebra textbooks work, there are lots of good alg vids on youtube.

[alpine sable]

Also they doing some math in my physics i think algebra idk what to do there either

physics class

[junior vigil]

0

[clever folio]

There's those solved problem books like the schaums series with tons of worked problems too.

[alpine sable]

Ok i guess ill try khan academy how long u think it will take

if i tryhard

like I get home at 5 pm every day from school& the gym

and try to sleep by 10

[clever folio]

Most algebra one courses last about a semester. But that would include doing hw and stuff.

Have you talked to your professor ro see what options you might have as far as your current course goes?

[ionic jewel]

<@&268886789983436800>

check the deleted chat log

@crimson blade spamming/otherwise trolling

one

two

three

four is in #help-1

and 5 is the one you deleted

[alpine sable]

i asked my teacher this morning she basically said " pay attention "

But I do pay attention im just so far behind like I dont even know wtf is happenin

[clever folio]

Have you mentioned that you are behind?

[alpine sable]

yes lol

[clever folio]

:/

[alpine sable]

I was straight up with her i said i cheated last year and didnt listen

Hello

[clever folio]

It seems unproductive to stay in a math class above ur lvl

[ionic jewel]

yikes sounds like u got a bad teacher then

[clever folio]

Agreed

[alpine sable]

Ya i msged my counselor but they dont want to reply to me idk why

[ionic jewel]

bribery is still not the solution, but its a hard position

[alpine sable]

I was joking i dont even got money like that

[ionic jewel]

meirl

but yeah you gotta try to speedrun what you missed if you arent able to drop out

[alpine sable]

Yeah im just really really really really really lazy

Im hoping i either get moved down to a class i can understand or

[solar cradle]

not that lazy clearly lol

[alpine sable]

school shuts down again

so i can cheat

[solar cradle]

just try bro, just start now

like right now

[alpine sable]

im making a discord bot rn

[clever folio]

Algebra 1 level math is sort of grindy. Like, you have to just do the work/practice.

[alpine sable]

then i need to sleep coz its 10 pm

but I have a test friday in math I might just be screwed

[clever folio]

Do you know how to motivate yourself to be productive/get work done?

[alpine sable]

for stuff i enjoy doing yes

like the gym i startde that im addicted to it

but for stuff i dont enjoy , i never rlly tried

[thorn kindle]

try enjoying math lmao

[alpine sable]

............

[clever folio]

Establishing habits that allow you to do things you don't enjoy earlier on can be useful.

As far as work type junk goes.

Nobody really likes doing work I suppose.

[alpine sable]

well let me word it better i HATE math like with a passion

i have a job i dont like it but ill do it and tryhard it

[clever folio]

I personally like math.

But I hated it when I was younger.

[alpine sable]

well maybe id like it if i knew what im doing infact i did like it up to 7th grade

[clever folio]

Good/bad teachers makes a huge difference.

[alpine sable]

yea my geometery teacher was good i kind of liked that class

[clever folio]

But also mindset on doing work also makes a difference.

[alpine sable]

i hate algebra thats what i amtrying to say

[junior vigil]

Learning the subject ahead of time also helps.

[clever folio]

^

No matter what you do algebra 1 thru calculus is sort of grindy like that

Algebra in general is a lot deeper than just what you would be seeing in algebra 1.

[alpine sable]

it just makes me mad they have us learn this stuff when most kids arent ever gonna use it again

[clever folio]

You think that now but most things you take for granted probably relate in some way to basic algebra.

[jolly stone]

to be very honest, learning by yourself is much better than having forced into education system

especially math

[alpine sable]

ya well i was about to say like even if it is used you can just google it

[clever folio]

You can't study basically anything quantitative without running into basic algebra.

Google is gonna be hit or miss.

Not rhat you can'r find what you need.

[torn tusk]

can someone help me w/ this

[jolly stone]

lots of indian youtubers are like the universe's blessing

[clever folio]

But you'll wind up doing this weird backfillinf of info/knowledge as you go.

[alpine sable]

symbolab .com is the best site ever

[clever folio]

It would be like trying to learn french as you go by googling up all the word definitions and grammar as you needed them.

Rather than just taking a course, reading an intro book on french or something of that nature.

[jolly stone]

what are you stuck on?

[clever folio]

Yah symbolab or wolfram alpha are good tools. I'm not trying to discourage using them lol.

[torn tusk]

5

[jolly stone]

from line equation y = 1/2 x + 3 when -4 < x < 6 , you can plot the graph

if you want to find the range, you can see what y values exist along that line

[torn tusk]

can u give me an example

[jolly stone]

do you know how to plot the graph y = 1/2 x + 3?

[torn tusk]

yes

[jolly stone]

have you done that?

[torn tusk]

yes

[jolly stone]

consider only when 4 < x < 6

when x is just close to 4, what is the value of y?

[torn tusk]

6?

[jolly stone]

1/2 * 4 + 3

= 5

same with when x is close to 6, what is the value of y?

[torn tusk]

i c

[jolly stone]

1/2 * 6 + 3 = 6

yep, then you can find what is the possible values of y (range) given the interval of x (domain)

[alpine sable]

anyone know discord.py

[clever folio]

I think they are just asking you to graph/shade the areas between the two curves?

Rather than actually computing the integrals.

So you would start by graphing both the functions given in (i).

Then you would shade the area between the two curves for the portions of the x-axis from -pi to pi.

https://i.ytimg.com/vi/X1HvaF7rAho/maxresdefault.jpg

Sort of like this picture

For when the shape breaks up into two parts they want you to write out the two integrals you would have to compute to find the area.

But not evaluate it.

You can use your picture to help though.

[clever folio]

For ex this would be the integral from a to b of f(x)-g(x) if there were also second region from c to d o with g on top instead of f you would just add on the integral from c to d of g(x)-f(x).

So in the first region sine is above cosine right?

(My trig is awful rn lol)

Then yes I believe that is correct.

Provide all those values where sine/cosine cross are correct.

[alpine sable]

I want to compute the BMI, but the catch is I have the given BMI of 21, and the body mass is n. what is the new formula for it?

[vale wigeon]

come again?

[alpine sable]

BMI is kg/m^2 right?

But instead of the BMI being the needed answer, it's the body mass that is the needed answer.

I have been given the height and the BMI index of 21, so I want to know what formula needed to compute for the body mass

[vale wigeon]

BMI = m/h^2

yes that's the formula that defines BMI

[alpine sable]

yes, but im not looking for the BMI, im looking for the body mass

[vale wigeon]

i take it you're unfamiliar enough with algebra that "multiply both sides by h^2 to get m = BMI * h^2" didn't immediately occur to you?

[alpine sable]

see that's my problem.

i want to do the isolation method, but i dont know what to cancel h^2.

[vale wigeon]

i just told you

multiply both sides by h^2

[alpine sable]

ok thanks

[vale wigeon]

or are you saying you don't know why mh^2/h^2 = m?

[alpine sable]

i assume you convert it with a radical sign

like the opposite of h to the power of 2 is h square root by 2

actually im looking for the weight of a BMI of 21 whose height is 91 cm.

[vale wigeon]

91 cm? are they a dwarf lol

in any case, no, you don't need any roots here...

height is known

,calc 21 * 0.91^2

[ocean seal]

Result:

17.3901

[vale wigeon]

here

[kindred crater]

This is simple but my brain is just kapooting here and I can't figure out how to word it in google correctly:

how can I find the direction vector of a? (I don't really care whether it's a unit vector or whatever, I'm mainly looking for its direction)

i.e given vector 1 and angle, find vector 2's direction (a)

(@ me if you decide to answer ❤️ )

[shell widget]

you can try using the dot product formula

a.b = |a||b|cos(theta), theta is the angle b/w a and b.

let the second vector be v = xi + yj = <x,y>

[viral vigil]

Probability that injury occurs in there park is 0.05. From injured we have taken 10 people at random and it were all men. Fro not injourred we did the same but there were 5 women.

What is the probability that the injury will occur if the person is woman

[kindred crater]

And just set |b| = 1 (since I don't really care about the magnitude)? sounds like a plan

[kindred crater]

Ah but how the hell does cos(theta)/a work? Like the vector is in the denominator

[gaunt magnet]

hi

this

<@&286206848099549185>

[gray isle]

What have you tried?

[gaunt magnet]

for this question i started off and took Derivative of ((x^2+6)/(3x+4))^5 for x=1

and got
$\frac{5\left(x^2+6\right)^4\left(3x^2+8x−18\right)}{\left(3x+4\right)^6}$

[ocean seal]

Usman

[gaunt magnet]

then found slope = -5/7

the equation of the tangent is going to be
$$y = f'(c)(x - c) + f(c)$$

[ocean seal]

Usman

[gaunt magnet]

got y-1=(-5/7)(x-1)?

simplified

12/7-5x/7

@gray isle

[gray isle]

y =

[slender timber]

Is there anyone that can help me with math homework over dms or call?

[gray isle]

at glance that seems ok. What's your issue?

[gaunt magnet]

does it seem correct

[shell widget]

@kindred crater how are you getting cos(theta)/a? do you know what is a.b? if a=<x1,y1>, b = <x2,y2>, then a.b = x1x2 + y1y2

[gray isle]

at glance that seems ok. What's your issue?

if you're worried you can check graphically or something

[gaunt magnet]

no issue just wanted to check my work and thanks it should be
y=12/7-5x/7

[vale wigeon]

just wanted to check my work

next time you would do better to post your work right away, just saying

[kindred crater]

ah, but then I get 2x - sqrt(21)y = 25cos(67.45)=9.59. Does just making x=1 and then solving for y work? (I'm gonna test it out)

for the problem I'm trying to solve, I get this, which looks like the reflected angle != the incoming angle

[crimson jay]

. 1
33km - 20- km = ?
4

i need help

please?

[gaunt magnet]

why and wtf are u playing

anyways this ques

im stuck on last part

[vale wigeon]

why what?

[alpine sable]

How do we solve this

[vale wigeon]

@alpine sable channel busy please move

[alpine sable]

Sorry

[vale wigeon]

@gaunt magnet sorry, i don't understand what you asked me there

[gaunt magnet]

ok nvm i did it $y-\frac{55}{16}=-4(x-\frac{1}{8})$

[ocean seal]

Usman

[gaunt magnet]

<@&286206848099549185>

Check please 😋

[bleak stag]

Can anyoone verify this -
a car moves at a 100km/h for 50 km
and then 40 kmh for 30 km
i got an hour and 15 mins

[ionic jewel]

I didnt

100km/h for 50km is half an hour

wait i read it wrong

1/2+3/4 = 5/4, which is one hour and 15 minutes, yes

[gaunt magnet]

😠

[tender geyser]

i am supposed to find the volume of this thing (which i assume is a sphere of radius sqrt(2) around a given x_0 right?)

how do i get to this step?

its the first step thats described in the solution and i have no clue how they got there xD

[tacit kernel]

Is this correct???

[ionic jewel]

yep

1/3 power is often written as cbrt

[tacit kernel]

Ooh thanks

[tender geyser]

<@&286206848099549185>

ive dug into my script and i think it has something to do with cavalieris principle

but that doesnt really explain neither the integrand nor the boundaries for me

ah i figured it out

[small cypress]

<@&286206848099549185> I need help

[tender geyser]

ur not supposed to use that ping until 15 minutes after ur question is unanswered #❓how-to-get-help

[small cypress]

srry mb

[shut elk]

<@&286206848099549185>

currently kinda scratching my head at $2^x(x+2) > 17$, i don't think expanding is gonna help

[ocean seal]

eis

[alpine sable]

Rearranging to $2^x(x+5)-5x-22>0$ and solving with a numerical solver gives $ x>2.8973$

[ocean seal]

farbbohrer

[small cypress]

wait u guys ans me?

[noble sinew]

the answer is there isn't a closed form

[shut elk]

Scape can you clarify what that means?

please.

[noble sinew]

its a waste of time trying to solve it

can't be expressed as a rational number

[stoic hamlet]

how do i write e^30 as an expression as a power of e

[alpine sable]

Can you send the whole question?

Like do you mean ln x = 30

is there a way to use math, to find out how many times i need to shuffle this, for it to be 100% shuffled. I mean at one point does shuffling it further make no sense? - Each move/shuffle is either, moving a column, one tick up, or down. or a row one tick left or right.

[prime badge]

no, there's no point where shuffling it further makes no sense

there's is such a thing as derangement i guess

[alpine sable]

Yeah, shuffled-ness isn’t a property in itself

You need a definition of what it means to be shuffled

[prime badge]

and derangement doesn't make sense as one

you shift all rows exactly by one, that would be derangement, but you wouldn't call it a good shuffle

[lone spire]

Remove a common factor and write the expressions as a product.
can someone help me with that?

<@&286206848099549185>

@noble sinew

[noble sinew]

?

[keen owl]

It just means you need to factor out some stuff, doesn't it?

[lone spire]

yeah, i didn't manage to do it

[polar whale]

In the first one , u can write 15x + 20 as 5×3x+ 5×4 =5(3x+4)

[keen owl]

yeah, exactly

[polar whale]

U got it?

What would teh second one be?

[lone spire]

yeah thanks 😄

[polar whale]

Np

[wispy olive]

I have 3 questions.

How to solve -

1. In an examination, 30% of the candidates failed in English, 35% failed in G.K. and 27% failed in both the subjects. If 310 candidates passed in both, how many candidates appeared in the examination?

2. A student was asked to multiply a number by 5/3. He multiplied by 3/5 instead. Find the percentage error in the calculation.

3. In an election between 2 candidates, 10% of the voters did not cast their vote. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. Find the number of voters enrolled on the voters list.

Please help me in these and show me how to solve these. Tomorrow is my exam, so.

[polar whale]

Let the number be k. So he got 3k/5 instead of 5k/3. Then the error is just the difference between the two values that is 5k/3 - 3k/5 = X(do teh calculation). So get the error percentage will be (X/intended value) × 100%. Intended value here is 5k/3.

The other two questions involve set theory ig and I am pretty weak at that.

[wispy olive]

No.

It is grade 8th percentage chapter.

[polar whale]

Ic

Lemme think

[wispy olive]

Yo thanks a lot!!!!

[cobalt mist]

I am attempting this one rn.

[wispy olive]

Thanks!

[wispy olive]

I got the intended answer from this. Thanks a lot @polar whale .

[sick phoenix]

I need help for HDE

[wispy olive]

Channel occupied.

[sick phoenix]

oh shoot sorry

[vale wigeon]

How to solve -

1. In an examination, 30% of the candidates failed in English, 35% failed in G.K. and 27% failed in both the subjects. If 310 candidates passed in both, how many candidates appeared in the examination?
2. A student was asked to multiply a number by 5/3. He multiplied by 3/5 instead. Find the percentage error in the calculation.
3. In an election between 2 candidates, 10% of the voters did not cast their vote. 10% of the votes polled were found invalid. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes. Find the number of voters enrolled on the voters list.

[wispy olive]

Yes.

[vale wigeon]

i take it you are as yet not familiar enough with the concept of percentages to find these questions trivial?

[wispy olive]

No.

I could solve other problems.

These are like the last questions.

[cobalt mist]

Great. You've solved it 😒

[wispy olive]

So like naturally harder.

[vale wigeon]

i have not, rohan

[wispy olive]

?

[vale wigeon]

i merely copied and pasted the problems themselves

[cobalt mist]

Wait you haven't?

[proud totem]

Could someone help me answer this plz

[wispy olive]

She just copied and pasted my questions.

[cobalt mist]

Okay then I'm still on it then.

[wispy olive]

Channel occupied.

[proud totem]

what does that mean

[vale wigeon]

this channel is occupied, please move to another

there are nine more channels in the questions category

[proud totem]

oh my bad im sorry

[wispy olive]

Np.

[vale wigeon]

senku, which of these three are you stuck on at the moment?

i'm willing to point you in the right direction so long as you present some sort of progress or thoughts

[wispy olive]

Questions 1 and 3.

Question 2 was answered.

[vale wigeon]

mkay

as i can see, rohan is working on question 1 at the moment

[cobalt mist]

Do not solve first :)

I'm working

[wispy olive]

I can not understand what to do on question 1 and 3.

No idea.

[vale wigeon]

you're completely stuck not knowing where to begin, then?

[wispy olive]

I tried doing something in last one but it did not work.

[vale wigeon]

okay

[wispy olive]

I know the answers to the problems but not how to solve them.

[vale wigeon]

so let's bring that question up again and think it through one by one.

[polar whale]

No.3

[vale wigeon]

yikes

[polar whale]

I tried explaining what I did

[vale wigeon]

don't give out answers mindless potato

[polar whale]

And my handwriting is bad

[polar whale]

I didn't

Just explained

[vale wigeon]

also may i show a non-algebraic, and possibly easier to comprehend, method of solution

[polar whale]

Hm

[vale wigeon]

senku, would you be willing to hear me out

[wispy olive]

Sure.

[vale wigeon]

alright

[wispy olive]

Alright sounds cool.

[vale wigeon]

there are three pieces of information we are told:

1. 10% of the voters did not cast their vote.
2. 10% of the votes polled were found invalid.
3. The successful candidate got 54% of the valid votes and won by a majority of 1620 votes.

[wispy olive]

Yes.

That means 80% of the votes were real.

And counted.

[vale wigeon]

nope.

not 80%

[wispy olive]

Uhh okay how?

[vale wigeon]

well let's go through it one by one

10% of the voters didn't vote at all

[wispy olive]

Yes.

[vale wigeon]

so the votes polled only amount to 90% of the total voter population

[polar whale]

Mind reading what I sent?

[wispy olive]

Uh Ann is explaining live so can I see her's right now 1st?

Then yours?

[vale wigeon]

i think i made myself clear in that i would not be paying it much mind for the time being.

[wispy olive]

Yes.

Understood.

[vale wigeon]

okay now

10% of the votes polled were trashed due to invalidity.

[wispy olive]

Yes.

90% left.

[vale wigeon]

the number of trashed votes is 10% of 90% of the total pop

i.e.

9% of the total pop

[wispy olive]

Yes.

[vale wigeon]

not 10%

[wispy olive]

Then 81% left.

[vale wigeon]

yeah, as i said.

81, not 80

[wispy olive]

Ah so 81% of the votes were real.

And counted.

[vale wigeon]

81% of the votes were counted.

[wispy olive]

Okay understood.

[vale wigeon]

The successful candidate got 54% of the valid votes and won by a majority of 1620 votes.

[wispy olive]

So 4% of the votes = 1620 votes.

We get this.

[vale wigeon]

not 4, no.

[wispy olive]

Right?

[wispy olive]

But how?

Oh wait.

Okay.

I see.

[vale wigeon]

the winner won 54 to 46

not 54 to 50

[wispy olive]

Yes.

So he got 8% more.

[vale wigeon]

8% of the valid vote count make up 1620 votes

[wispy olive]

So 8% of votes = 1620.

[vale wigeon]

,calc 1620/0.08

[wispy olive]

Yes.

[ocean seal]

Result:

20250

[wispy olive]

Valid.

[vale wigeon]

20,250 votes polled

,calc 20250/0.81

[ocean seal]

Result:

25000

[vale wigeon]

25k voters total

[polar whale]

Wow

[wispy olive]

WHAT THE!

You solved it so fast.

DAMNNNN.

[polar whale]

[vale wigeon]

so long as you keep track of what numbers stand for what

it should be reasonably clear