help-0

[robust copper]

i will try

[wide raven]

if you are not able to do it

i think the only way we would be to show you how to do it

[fleet mist]

hmmm @wide raven excuse me, i was in this channel someone tried to help me. But since i'm a helpless cause i didn't find my answer

[wide raven]

@fleet mist i don't mind you pinging, but others might

and about your question

[fleet mist]

oh sry

[wide raven]

you can ask it again, on a different channel

[fleet mist]

ok thank u!

[wide raven]

someone would help ya

maybe even i can if i can solve that problem

just ask it

[lone heart]

@robust copper Has your question been resolved?

Channel closed

Closed by @robust copper

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

can someone help ?

[alpine sable]

<@&286206848099549185>

someone please help

i been stuck for 1 hour

[lone heart]

@alpine sable Has your question been resolved?

[long axle]

which one are u stuck on

number 16?

@alpine sable

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[turbid stratus]

Hello , what’s the formula for Gradient ?

[rose sigil]

gradient of what? a line?

[languid bolt]

$m = \frac{x_2 - x_1}{y_2 - y_1}$

[ocean seal]

help

[lone heart]

@turbid stratus Has your question been resolved?

[keen plinth]

bruh what

even if they did mean gradient of a line

its usually given the other way round

$m = \frac {y_2 - y_1} {x_2 - x_1}$

[ocean seal]

夢雪

[rose sigil]

and there is no mention of what, m, y_1, y_2, x_1, and x_2 are

[languid bolt]

oh yeah my bad

i forgot

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[severe sequoia]

could someone help me figure out how to approach this ODE problem? I am trying to verify the implicit solution on the left side.

[severe sequoia]

I think what I need to do is get the 1st and 2nd derivative of the left side? and then if I tried to isolated y'' I could then verify if it matches the left? or is there a simpler approach?

this is what I have so far, but honestly I don't know if it's right... if it is, then I have no clue how to isolate y''

[lone heart]

@severe sequoia Has your question been resolved?

[lone heart]

@severe sequoia Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[edgy sand]

hey guys I have a, b ,c and d values for this one and get that I can graph the function by putting into desmos but what does the x> -b/2a mean?

[worn fox]

only plot x values bigger than -b/2a

[edgy sand]

ah gotcha thanks

.close

[lone heart]

Channel closed

Closed by @edgy sand

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[edgy sand]

hey guys I have a, b ,c and d values for this one

how do i know what the point coordinates will be?

i get the c would just be the c value itself

would f(c) be the function with c value plugged in for x?

[paper ridge]

pretty much

[edgy sand]

ok ty

.close

[lone heart]

Channel closed

Closed by @edgy sand

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[neat frost]

Hi, I'm working on Herstein 2.3.14 and I don't really understand the answer. Suppose a finite set G is closed under an associative product and that both cancellation laws hold in G. Prove that G must be group

[neat frost]

The solution makes no sense since it just shows that you can solve both ax = b and ya = b and stuff online talks about bijections, but I don't really see how this PROVES that an identity elemetn exists and therefore, each element in G has an inverse in G

[ionic trail]

If you can solve ax = b, for any a,b then there exists an inverse for every a, since you can solve ax = e, no?

(e = neutral element)

[neat frost]

yea, this is where I get stuck, i feel like it's really simple so I don't know why I don't get it. So if I can ax = b, x = ba^{-1} = e?

I just don't see why that necessiates a natural element

unless that above is the explanation?

[ionic trail]

Being able to solve ax=b for any a,b is way stronger than having an inverse for every element. Because in particular, you can solve ax = e for any a (just be replacing b with e).

If ax = e for some a, then x is the inverse of a by definition.

[neat frost]

OHHH I SEE

thanks so much I've literally been reading the same few passages and not making this connection for some reason

[ionic trail]

Alright😅 yw

[lone heart]

@neat frost Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[granite dirge]

Idk how to do 14

I got DNE as my answer but that’s not right

[vale wigeon]

multiply by the conjugate

or more precisely

multiply numerator and denominator by (sqrt(x)+2)

[granite dirge]

Oh ok I will try that now

Thanks

x-4/sqrtx - 8?

[vale wigeon]

no, doing what i described will not give $x - \frac{4}{\sqrt{x}} - 8$.

[ocean seal]

Ann

[vale wigeon]

it won't give $\frac{x-4}{\sqrt{x} - 8}$ either, but you should've been more careful with parentheses to write that.

[ocean seal]

Ann

[granite dirge]

1/sqrtx + 2 is what I have so far

[vale wigeon]

no, you don't have $\frac{1}{\sqrt{x}} + 2$.

[ocean seal]

Ann

[granite dirge]

you know what I mean

lol

[vale wigeon]

no, i do not.

and i will insist that you parenthesize fractions properly.

[granite dirge]

the 2 is under

ok ok

[vale wigeon]

ok, then write 1/(sqrt(x) + 2).

not 1/sqrt(x) + 2.

unless you're one of those people who likes not being understood.

[granite dirge]

😂😂

thanks for the help

.close

[lone heart]

Channel closed

Closed by @granite dirge

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[limpid garnet]

|P(A ×B)|

[limpid garnet]

Suppose that |A| = m and |B| = n. Find the following cardinalities.

would the cardinalities be 2^(m+n)

[vale wigeon]

no

[limpid garnet]

sorry i am confused

what would (A x B) look like?

[vale wigeon]

A x B is the Cartesian product of A and B

[limpid garnet]

so (A,B) right?

[vale wigeon]

...no?

[mortal trellis]

${(a,b): a\in A, b\in B}$

[ocean seal]

Denascite

[limpid garnet]

sorry can you explain to me the process

pls

[vale wigeon]

|P(A x B)| = 2^|A x B| = 2^(|A| * |B|)

[limpid garnet]

so 2^(m*n) is the answer

[limpid garnet]

^ i think that is the answer?

[lone heart]

@limpid garnet Has your question been resolved?

[mortal trellis]

yes

[lone heart]

@limpid garnet Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

can i get help

[alpine sable]

its with business calculus

does anybody understand excel up in here !!!

[keen pasture]

[alpine sable]

tobias!

[molten pivot]

Just ask

I can probably help

[alpine sable]

okay

alright so

HOW IN THE WORLD

i know the answer is right there but lord

can we go on call or something??

like i literally do understand how to evalute that function

for it to turn into whatever the hell they got

[molten pivot]

Alright

The first one is:
$2 × (2^2+1)^3$

[ocean seal]

Mr. Gamer

[molten pivot]

The second one is

$(2^2+1)^{2×3}$

[ocean seal]

Mr. Gamer

[molten pivot]

Does that make sense?

[alpine sable]

no .

[molten pivot]

The exponent would normally just apply to the next term, if you want to raise something to the power of a longer expression then you have to group it together

[alpine sable]

how do u get there

okay wait

so is it just where u put the similar things together

in the equation

hol on

im abt to drop this class cuz wtf

mr gamer help!

i havent taken a math since sophmore year

i am a sophmore in college

[molten pivot]

There is an order in which we evaluate operations

We start with parantheses

[alpine sable]

PEMDAS

[molten pivot]

Yes

[alpine sable]

f(2)= (2^2 + 1) ^ 3*2

[molten pivot]

Look at the first problem

[alpine sable]

okay so how do u do tht here?

[molten pivot]

Evaluate whats inside the parantheses first

What is 2² + 1?

[alpine sable]

um . 5.

right?

[molten pivot]

Yes

[alpine sable]

OHHHH i SEE

[molten pivot]

So then we have:

5³ × 2

[alpine sable]

ok so ur doing the paranthese

hold on

WAIT.

(5) 3^2

so do we do the expontnet ?

[molten pivot]

Not quite

It's 5³ × 2

Or 5^3 * 2

[molten pivot]

Now we do the exponent

[alpine sable]

OH

but why did u leave the 2 by itself?

[molten pivot]

I thought we were looking at the first one, weren't we?

[alpine sable]

yea

[molten pivot]

The 2 is not inside the parantheses there

[alpine sable]

which 2 are u talking abt

bc im refering to the 3*2

bc we already solved what was inside the parantheses

now we have

^ (3*2) left

5 ^3*2

[molten pivot]

Ok lets be clear which problem we are referring to then

Which one?

[alpine sable]

this

[molten pivot]

Ok

[alpine sable]

the first

and the question is asking

which one of those equations correctly evaluates whatever the hell this is

[molten pivot]

Here the 3*2 is inside the parantheses

[alpine sable]

right

[molten pivot]

So that turns into 5^(3×2)

[alpine sable]

right

[molten pivot]

Then we evaluate what's inside the parantheses

[alpine sable]

so it would beeeee

6 right

[molten pivot]

Yes

[alpine sable]

OM

GG

mr gamer. i am so sorry if im making u frustrated but BARE WITH ME.

ok so 5^6

okay so now this one

there is no parathenses

soo would it be the same process?

[molten pivot]

Yes, do whats inside the parantheses first

[alpine sable]

ok soo 5

5 ^3*2

then u would do exponent first

[molten pivot]

Yes

[alpine sable]

so 5^3

umm i dont have my caclulator

one sec

[molten pivot]

Yeah

Thats 125

[alpine sable]

ok boom !

thenn

its 125 * 2

right?

[molten pivot]

Yep

[alpine sable]

OK

https://cdn.discordapp.com/attachments/490557019623915520/1014287778881744956/unknown.png

so i am assuming

the right answer is

[alpine sable]

this

cuz it gave us 5^6

[molten pivot]

Yes

[alpine sable]

WHEW

can i add u ?

[molten pivot]

Sure, but I don't use discord too much

Try using these help channels if anything else comes up

[alpine sable]

what if i need help

ok !

imma wish u the best in life everyday

we need more people like u

[molten pivot]

👍

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[potent yacht]

hello

[potent yacht]

what does this symbol mean?

like the one in the middle

[uneven maple]

exponent

9^(-12)

[potent yacht]

im confused

[uneven maple]

oh uh

did you learn negative exponents

[potent yacht]

as in like

-1

-2

?

[uneven maple]

like 3^-2

is 1/9

do you know how that's done

do you know powers

[potent yacht]

yes i do

[uneven maple]

okay

so it's 9 to the power of negative 12

[potent yacht]

ohhh

[uneven maple]

you just have to know the trick for negative exponents

[potent yacht]

which is? lol sorry i just started school again and my brain is still in summer mode lol

[uneven maple]

it's just

1/(9^12)

[potent yacht]

bro

tysm

[uneven maple]

cool yeah

any other questions?

[potent yacht]

nope

ty!!!

[uneven maple]

np

[lone heart]

@potent yacht Has your question been resolved?

Channel closed

Closed by @potent yacht

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[scarlet shale]

i dont really know if the line L is a positive or negative gradient, and im not quite sure what does it mean by 30^o with the positive direction of x-axis

[strong compass]

Between the line l and the X axis is 30 degrees, I feel like it is most obvious for it to have a positive gradient imo

[scarlet shale]

but then if it has a positive gradient then how is the line perpendicular to L passing through (0,-4)?

[strong compass]

Like that, the red line is l and blue perpendicular

[scarlet shale]

ohhhhh i seee

[strong compass]

Make sense?

[scarlet shale]

yep

[strong compass]

Cool do you know how to do it from here

[scarlet shale]

not quite since i have not found out the coords yet

wait no i have to coords

[strong compass]

What coords?

[scarlet shale]

(0,-4) and (0,0)

[strong compass]

Right

[scarlet shale]

then i can find the gradient of line L

[strong compass]

No

L doesn't go through 0,-4 the perpendicular line does

You need another point that lies on L to find it's gradient

[scarlet shale]

is it an equation or something?

cuz i got no clue

[strong compass]

Let's say y=4x

Do you know what the gradient of the line perpendicular to it would be?

That's parallel

[scarlet shale]

sorry wrong thing

[strong compass]

It's all good

[scarlet shale]

-1/4

[strong compass]

Yes cool

So you know that l makes 30 degrees a the X axis, so I suggest we find the function that makes l first

Then we can find the equation of the perpendicular

Does this diagram remind you of something, ignoring the y axis?

[scarlet shale]

a pencil tip? 🤣 i dont really remember anything apart from that sorry

[strong compass]

Do you see the triangle?

[scarlet shale]

?

[scarlet shale]

ohh ok

[strong compass]

So if the base of the triangle is 1, what is the height

[scarlet shale]

root3/3 units

is it?

[strong compass]

Yeh

Do you see how you just found another coordinate

[scarlet shale]

ohhhhhh (1, 0.6)

or do it with the frraction

[strong compass]

I would keep as root3/3

[scarlet shale]

ok

[strong compass]

Now find the gradient of l

L goes from (0,0) to (1,tan(30))

I put tan 30 cause easier to type lol

[scarlet shale]

that's fine

so m = tan30/1

so basically tan30

perpendicular gradient = -root3?

[strong compass]

Yeh

[scarlet shale]

so that's question done

y-b=m(x-a)

sub in (0,-4) and -root3

[strong compass]

Yeh that's the last step making the equation

Yeh

Tbh

[scarlet shale]

thank you soooo much

[strong compass]

You don't even need to do that it's just y=-root 3 -4

Because -4 is the yintercept when X is 0

[scarlet shale]

yeah but it's homework so i gotta show everything

[strong compass]

Fair enough

[scarlet shale]

thank you for your help again

life saver

[strong compass]

No worries 👍

[scarlet shale]

have a nice day!!

[strong compass]

You too

[scarlet shale]

.close

[lone heart]

Channel closed

Closed by @scarlet shale

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[past wave]

This right?

[past wave]

Ah shit

-9/2 not -5/2 💀

I'm dumb

[lone heart]

@past wave Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[twin jolt]

tan(x)=-sqrt3

[twin jolt]

work out for x

[lone heart]

@twin jolt Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[tawdry temple]

.open

[lone heart]

@tawdry temple Has your question been resolved?

[lone heart]

@tawdry temple Has your question been resolved?

Channel closed

Closed due to the original message being deleted

Available help channel!

Send your question here to claim the channel.

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

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

[edgy flare]

I have this so far:

Not sure if my reasoning is correct. Any advice is appreciated.

[rose sigil]

not sure exactly what you are doing there but it does not look right

[edgy flare]

I think I am mis-remembering the rules of nth roots

[oak perch]

5^2=25=1 mod 8 therefore 5^2n=1^2n=1 mod 8

[rose sigil]

why are you taking any roots at all?

[edgy flare]

to get rid of the n power on the (5^2) term

and taking the nth root of 1 is = 1

[rose sigil]

so are you saying... nthroot((5^2)^n - 1) = (5^2) - 1 for any n?

[edgy flare]

Would I first need to state that "suppose 5^2n - 1 is divisible by 8, then 5^2n - 1 = 0 mod 8 . . . "

Then stat that 5^2 ^ n = 25 ^n

25 = 1 mod 8

1 ^ 2n = 1 for all n s.t. n is a natural number

thus 1 - 1 =0 mod 8

[oak perch]

No

[edgy flare]

as needed?

[oak perch]

Literally what I typed is sufficient

[slow hound]

@edgy flare are you aware of how mod rules work?

[edgy flare]

Yes.

[slow hound]

you can just start here

usually when proving something you dont start with the conclusion

[edgy flare]

I have an extremely picky professor for intermediate analysis, and she will count off if it is not explained well enough. So I am very cautious on how in depth I need to state before using something.

[real gazelle]

It is the job of an analysis professor to be picky

Because usually the students taking the class don't know how to write proofs

Lol

what cogwheels of the mind said is good though

[edgy flare]

Okay. I just suck at proofs, so I need as many points on every assignment to counter balance if I do poorly on quizs/tests

Thanks @oak perch

.close

[lone heart]

Channel closed

Closed by @edgy flare

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

what is -9/9 💀

[wary stream]

What's 9/9?

[alpine sable]

1

[wary stream]

And -9/9 is the same as -1 * 9/9

[alpine sable]

so -1

[wary stream]

Yes

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @wintry garnet

Use .reopen if this was a mistake.

[alpine sable]

.reopen

[lone heart]

✅

[alpine sable]

.close

[lone heart]

Channel closed

Closed by @wintry garnet

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[lament cloak]

How do i graph this function to find the limit

[fathom kite]

since its continuous at w = 3.3, you can just find the value of f(w) at x = 3.3

that will be the limit

[lament cloak]

yea i did that

and got 0.86

but it still tells me im wrong

i mean i got 0.938

[fathom kite]

i think its just a problem of the logic

[lament cloak]

oh im stupid

[fathom kite]

since 3.3 is .34(first ounce) + .26(second ounce) + .26(third ounce) + .26(fourth ounce)

[lament cloak]

i read the problem wrong

yea ur right

[lone heart]

@lament cloak Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[uneven cove]

Help

[uneven cove]

Pls,,., i have been here for 4 hours

[solar granite]

Is it solving for x?

^

[uneven cove]

Ih my god

I love u

i love u so much

i love u

ily

ur tbe best

i was crying

.close

[lone heart]

Channel closed

Closed by @uneven cove

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[vivid pond]

so I know that the conjugate is another zero

-3i

but I'm not exactly sure how to find the last zero

[gray isle]

once you know 2 of the roots, finding the last could be achieved from vietas formula

[slow hound]

oh shit thats brain

[gray isle]

more convenient would be using the sum

also not quite

[slow hound]

right right

divide by 2

[vivid pond]

so x^2-9

[slow hound]

dont do it my way

[vivid pond]

and then divide how

[next thorn]

.reopen

[gray isle]

prod would be -d/a = -45/2

[vivid pond]

err

confused sorry 💀

shouldn't it be 3

from x^2-9=0

it'd become x=3?

oh it's -5/2

thanks

I'm actually not sure about this one

[lone heart]

@vivid pond Has your question been resolved?

[serene junco]

@vivid pond You still here?

What have you tried for this one?

[vivid pond]

oh sorry forgot to close it

deadline was 15 mins ago

thanks though 🫡

[serene junco]

no worries

[vivid pond]

.close

[lone heart]

Channel closed

Closed by @vivid pond

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[gilded kiln]

\

[gilded kiln]

how is this wrong

[vale wigeon]

Five independent trials of a binomial experiment with probability of success p=0.6 and probability of failure q=0.4 are performed. Find the probability of the following event rounded to five decimal places:

At least 4 successes

(transcribing the problem here so as not to have to squint)

your answer is 0.02016. how did you calculate this?

[gilded kiln]

no worires

i figured it out lmao

sorry to waste ur time

i multipled % of winning 4 and % of winning 5 instead of adding

.close

[lone heart]

Channel closed

Closed by @gilded kiln

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[wise jewel]

how r they getting these numbers?

[tacit arch]

Binomial distribution formula

[lone heart]

@wise jewel Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[dapper tide]

what does epsilon denote in the context of sequences?

[vale wigeon]

are you looking at the epsilon-N definition of limits?

[dapper tide]

idk

my professor defined it as

the scale of small limits

and just went on

[tacit arch]

Do you have specific notes you're trying to understand?

[lone heart]

@dapper tide Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[grizzled cliff]

Hello guys! I need help with this question me and my classmates have been stuck on.

[tribal oxide]

||It looks like the odd place terms and the even place terms are in an ap||

[grizzled cliff]

Nevermind we found the answer thank you. It was (-1)^i(2+i).

.close

[lone heart]

Channel closed

Closed by @grizzled cliff

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[dull leaf]

This is a previous exam, and the professor did not include a solution , can someone please check my answer for part 1

[lone heart]

@dull leaf Has your question been resolved?

[naive valley]

yes, it's correct

[dull leaf]

awesome thanks @naive valley

.close

[lone heart]

Channel closed

Closed by @dull leaf

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[safe pewter]

So i am confused where to ^2 comes from that is applied to 1?

[worn fox]

What is 1²?

[safe pewter]

just 1

[worn fox]

So it doesn't matter which we write

They've done it to make you spot a factorisation technique as the next step

[safe pewter]

Ah okay so its a logic trick to factorise

thanks you very much! ^^

.close

[lone heart]

Channel closed

Closed by @safe pewter

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[modern pollen]

Hi, I have this permutations and combinations question

usually for these questions, they only ask if C is to the right of 1 O instead of 3, because then you can simply divide the total number of arrangements by 2

however this question has multiple o's so I am somewhat confused as to what to do

oh i should clarify I am talking about b) and c), a) is quite straightforward

so I tried a case study with b) however I can't quite get it to work

[lone heart]

@modern pollen Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[modern pollen]

.reopen

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[frigid lintel]

Hey. I am wondering if anyone could help me understand this example question in my exercise book.

It says that the average return is calculated by P(winning) * value of win.

The example has three prizes, $1000 for first place, and $100 for second and third place.

But the example says P(1st) * 1000 + P(2nd) * 100 + P(3rd) * 1000

I don't understand why P(3rd) is multiplied by 1000. Shouldn't it be 100 since that is the value winning of 3rd place?

Here is the example question from the book.

Any help is appreciated. Thanks.

[grave island]

,rotate

[frigid lintel]

Ty

[grave island]

yea

its a typo

see how they did 1/318*100 in the next line

[frigid lintel]

Ah, I didn't even notice that. Thank you! I am blind

[grave island]

all g lmao

[frigid lintel]

I have one more question about it also. I am confused about the probably of losing * value of losing. Why is it multiplied by 0? Is the value of losing not the $5 to play? How do you determine the value of losing?

[grave island]

bc u get nothing if u loose

lose

then they say all that is ur average return 3.75 right

[frigid lintel]

Okay so the price of playing is not the same as the value of losing even though in a sense you have lost the $5?

Sure

[grave island]

but u pay 5 dollars for that 3.75

[grave island]

yea

basically

[frigid lintel]

Can you think of any example where the value of losing isnt 0?

Just to help clarify

[grave island]

uh probably if there is a garuntee that u will at least win 1

$1

no matter what u draw

[frigid lintel]

Okay. Thanks for the help dude, appreciate it

.close

[lone heart]

Channel closed

Closed by @frigid lintel

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[viscid wren]

The only context I can give is this is vector calculus, I have no idea what to do though

[vale wigeon]

,rccw

[vale wigeon]

what are u and v?

[viscid wren]

I’m assuming one is a vector u and the other is vector v

It wants to create a vector uv maybe? I’m not sure

[vale wigeon]

no that is not what i'm asking

did you get this problem from a textbook?

[viscid wren]

Yes I copied this problem straight out of my textbook

Like word for word

[vale wigeon]

show the textbook itself

if so then there should be an instruction nearby that tells you the values of u and v

they are vectors and that much is clear from context

but we do not know what vectors they are

[viscid wren]

72

[vale wigeon]

see, ok

you have it right there

[viscid wren]

Oh my god

[vale wigeon]

they say u = <1, 1> and v = <-1, 1>

[viscid wren]

I’m such an idiot

It’s too late for this

[vale wigeon]

does this now enable you to do the problem?

[viscid wren]

Actually never mind I’m still a bit confused

[vale wigeon]

you need to find scalars $c_1, c_2$ such that $c_1 \ang{1, 1} + c_2 \ang{-1, 1} = \ang{4, -8}$.

[ocean seal]

Ann

[viscid wren]

Oooh I see

So I’m setting both u+v=<4,-8>?

[vale wigeon]

...

no?

that's not what i said at all.

[viscid wren]

Haven’t done any sort of math in 3 months you’re gonna have to give me a break. Am I creating a system of equations for this or what

[vale wigeon]

well i said what you need to do right here in what i thought was plain and simple language.

you could do some algebra to the left-hand side to write it as one vector, then equate the x-components and the y-components on both sides amd yes, you would get a system of equations from that

[viscid wren]

I’m good to distribute the c1 and c2 to both the u and c right?

[vale wigeon]

1. your angle brackets don't have much angle to them. that's something you need to fix.

2. c_2 <-1, 1> = <-c2**,** c2**>**

that comma just up and disappeared and it looked like you were writing <0>

[viscid wren]

Ya lol just a sleep deprived I put the +

[vale wigeon]

why are you doing math when sleep-deprived??????

are you on a deadline?

[viscid wren]

Some personal stuff came up and I have to finish this textbook hw another one and a quiz before 8 am Thursday

But ya I am I guess

That’s my final answer. Not sure if I did my system wrong it’s been a few years since I’ve done these.

[vale wigeon]

seems ok

[viscid wren]

Alright well thank you.

[lone heart]

@viscid wren Has your question been resolved?

Channel closed

Closed by @viscid wren

Use .reopen if this was a mistake.

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[boreal stag]

Qbi,bii

[keen pasture]

What have you tried?

[lone heart]

@boreal stag Has your question been resolved?

[boreal stag]

Yah

Cant get it

[keen pasture]

We say we throw a dice. It does not matter what the result of the 1st throw is. There can't be the same number again. So how many different numbers are possible for the 2nd dice?

[boreal stag]

So its wihout replacement?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

[boreal stag]

.reopen

[lone heart]

✅

[boreal stag]

5/6

[alpine sable]

and so the third 4/6

[boreal stag]

What about bii

[raw fractal]

"at least two dice show the same number" is simply the complement of "all the dice show different numbers".

[boreal stag]

oh

.close

[lone heart]

Channel closed

Closed by @boreal stag

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[boreal stag]

Need help with ai and aii

[lone heart]

@boreal stag Has your question been resolved?

[alpine sable]

it's not really clear

[boreal stag]

But the photo i seen was clear

.rotate

Is this ok?

@alpine sable

[junior phoenix]

how do u do question 6 😅😅

[boreal stag]

???

[alpine sable]

#❓how-to-get-help

[alpine sable]

yeah better

[boreal stag]

U know how do?

[alpine sable]

No, not really sorry

[lone heart]

@boreal stag Has your question been resolved?

[potent bane]

1out of 6

There are 2 possibilities that the arrow goes down or to x

1 out of 2 chance

The dice is 1 out of 3

1 out of 3 × 1 out of 2 = 1 out of six

This is my guess

A i

A ii is uhhh

1 out of 4 chance of getting y

1 out of 4 × 1 out of 3 = 1 out of 12

Chance

[lone heart]

@boreal stag Has your question been resolved?

Channel closed

Closed by @boreal stag

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[wanton hearth]

for what n $(\sqrt(3) + i)^n$ is a purely imaginary? purely real?

[ocean seal]

Max.cc

[wanton hearth]

idk how to resolve this

i know that if we want a purely real then Im(z) = 0 and a purely imaginary then Re(z) = 0

[half epoch]

Write the inside of the exponent in the polar form

[rose gate]

also recall that arg(z^n) = n arg(z)

[half epoch]

Or if you are familiar with it the exponential form due to eulers formula can also make it obvious

[wanton hearth]

Ok I'll test that

[lone heart]

@wanton hearth Has your question been resolved?

[wanton hearth]

i found $(2e^{\frac{\pi}{6}})^n$

so $2^n e^{\frac{n\pi}{6}}$

[ocean seal]

Max.cc

Max.cc

[wanton hearth]

i repass it to the algebric form

$2^n cos(n\frac{\pi}{6}) + i (2^n sin(n\frac{\pi}{6})$

[ocean seal]

Max.cc

[wanton hearth]

but now idk how to resolve Re(z) = 0 and Im(z) = 0 cause i still have some power n

[half epoch]

Notice in this form the real part and the imaginary part are split

$Re(z) = 2^n \cos{(\frac{\pi}{6}n)}$

[ocean seal]

Learath2

[half epoch]

But $2^{n} \neq 0\ \forall n \in \mathbb{N}$

[ocean seal]

Learath2

[wanton hearth]

did i make a mistake somewhere?

[half epoch]

No, you just stopped there for whatever reason

I just went on and split it into Re and Im, and set them equal to 0

[wanton hearth]

ok i found n = 3 + 6k (with k€Z) <=> purely imaginary
and n = 6k <=> purely real

[half epoch]

Looks good to me

[wanton hearth]

ok thx

.close

[lone heart]

Channel closed

Closed by @wanton hearth

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[alpine sable]

Yo

[alpine sable]

Why the hell did you pin that

[gray isle]

the first post you make should be your question, asked in a clear concise manner
the bot auto pins that to make it easier for people to find the original question you are stuck on

[lone heart]

@alpine sable Has your question been resolved?

[lone heart]

Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[fleet thistle]

Anyone know whats the idea here?

[fleet thistle]

tg=tan ctg=cot, different notation in my country

And theres a missing parenthesis at the end of ctgx

[kindred anchor]

Write numerator completely in terms of tan x

And use log properties, then substitute t=tan x, so dt=sec²x dx

So the whole integral reduces to..

[fleet thistle]

Thanks!

.close

[lone heart]

Channel closed

Closed by @fleet thistle

Use .reopen if this was a mistake.

[kindred anchor]

[lone heart]

Available help channel!

Send your question here to claim the channel.

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

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

[mellow skiff]

Hi

[kindred anchor]

Show your work

[mellow skiff]

So i found out the values from my book of sin and cos

I feel like i Did something wrong

[kindred anchor]

It's actually right

I don't suggest checking values from book

Get to know of basic trig. identities

[mellow skiff]

Yeah i have to work on that. In my quiz test I only have these options so i think my answer is wrong

[kindred anchor]

Is this actually the question?

It has got very bad notation

[mellow skiff]

It says mark the answer to the expression

Haha Yeah not the first time..

But my answer is correct right?

[kindred anchor]

Yes

[mellow skiff]

Ty!

[mellow skiff]

F(x)=4+1/x has No x and y with horizontal tangent right?

[kindred anchor]

No x and y with horizontal tangent?

Wdym?

[mellow skiff]

Does F(x)=4+1/x have points with horizontal tangent ?

It’s a another question

[kindred anchor]

Well, F'(x)=-1/x²

Equating it to zero just gives infinity

The graph will be asymptotic to y-axis

[mellow skiff]

Oh

[kindred anchor]

So, there's no horizontal tangent for this function.

[mellow skiff]

Yeah I figured thanks!

Sorry forgot to close

.close

[lone heart]

Channel closed

Closed by @mellow skiff

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[fringe yoke]

X

[fringe yoke]

Here is what I did:

Questions:

1. Is my work above incomplete? Do I have to show that if x and y are both rational, then 3x+5y can't be irrational?
2. Would it have been faster if I proved the contrapositive?

[brittle hedge]

Think proof by contradiction is easiest

[fringe yoke]

I did do a contradiction here, but see question 1)

[weary wyvern]

You've proved that if x is rational and y is irrational or vice versa then 3x+5y is irrational

That's not what you want to show

[fringe yoke]

?

Really?

[brittle hedge]

You’d only have the case where both are rational

[fringe yoke]

For conjecture to be true:
case 1: x is rational, y is irrational, 3x+5y is irrational
case 2: x is irrational, y is rational, 3x+5y is irrational
case 3: x is rational, y is rational, 3x+5y can't be irrational

[fringe yoke]

I have the intuition for this too, but why exactly?

I can't put it into words

But I agree with you

[weary wyvern]

You're given that 5x+3y is irrational

[fringe yoke]

and moreover, why do I not have to consider the case where x is irrational and y is irrational? (This case was weird to me because consider x = sqrt(2)/3, y = - sqrt(2)/5) but i guess at least one doesn't necessarily mean "both" has to be true

[fringe yoke]

right

3x+5y

I assumed the negation is true and found a contradiction

[weary wyvern]

I missed this text but yes, 1 is the contrapositive

[fringe yoke]

ohhh

contrapositive here is "x is rational, y is rational, so 3x+5y can't be irrational" ?

I don't understand this concept very well, (even though I have googled it) please bear with me

[weary wyvern]

Yes

[fringe yoke]

Oh

"A contrapositive statement occurs when you switch the hypothesis and the conclusion in a statement, and negate both statements."

So hypothesis: x is irrational or y is irrational.
Conclusion: 3x+5y is irrational.

contrapositive:
Negated hypothesis: x is rational or y is rational.
Negated conclusion: 3x+5y is rational.

[weary wyvern]

$A\implies B \iff \lnot A \impliedby \lnot B$

[ocean seal]

giannis_money

[fringe yoke]

Got it

So I have to switch the order of A and B/

I have to go from 3x+5y is rational -> x is ratiojnal or y is rational?

[brittle hedge]

If P then Q | if not q then not p

[fringe yoke]

why can't I just go the other way around

^

[weary wyvern]

No

[fringe yoke]

is that not switching A and B ?

[weary wyvern]

.

[weary wyvern]

B is necessary for A so if B is false A can't be true. That's what the contrapositive means

[ocean seal]

Tim O’Brien
Compile Error! Click the reaction for more information.
(You may edit your message to recompile.)

[weary wyvern]

B and A should be switched at the beginning

[fringe yoke]

That is a bit confusing

[weary wyvern]

Read the qn

[fringe yoke]

qn?

question

ok

[finite spindle]

if A = X or Y
then (not A) = (not X) AND (not Y)

[finite spindle]

so your second line here is wrong

[fringe yoke]

Oh

Oh right we learned that

Alright thanks a lot, I will show the contrapositive now

.close

[lone heart]

Channel closed

Closed by @fringe yoke

Use .reopen if this was a mistake.

Available help channel!

Send your question here to claim the channel.

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

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

[formal hornet]

i need help with some

[formal hornet]

linear problems

that has connections to pythoagoras

tangent lines to circles

midpoint, distance formula

perpendicular lines

distance from line to a point

i have some example questions

i think i can do them i just need someone to like

explain to me how it works

i hate my life

[lone heart]

@formal hornet Has your question been resolved?

[formal hornet]

FK

[tawdry saffron]

the easy way to start this is to draw the figures

[formal hornet]

lets do 1 then

[tawdry saffron]

and do you know how to calculate a function from 2 given points?

@formal hornet

[formal hornet]

well

wait let me draw it out ok

and ill send an image

[tawdry saffron]

I have an image

if you want it

[formal hornet]

oh sure ty

of the triangle right

[tawdry saffron]

no the points given in the question

[formal hornet]

so b and c are unknown points

[tawdry saffron]

yea

[formal hornet]

but we know ABC is. a triangle

[tawdry saffron]

yep

[formal hornet]

and we know that M is the mid point of

BC and so we can

work out where B and C is

well no we need B first

we can find b by

finding the perpendicular of N?

[tawdry saffron]

no

[formal hornet]

fk

[tawdry saffron]

start with the first part of the question

[formal hornet]

okay

[tawdry saffron]

it will give the clue to finding where B is

[formal hornet]

A (7, 8) N (3, 4)

so find the slope

8-4 over 7-3

4 / 4

or slope is 1

y = x + c

plug a values

8 = 7 + c

c = 1

so a) y = x + 1

right

[tawdry saffron]

yep

[formal hornet]

k now

we can find b by

[tawdry saffron]

yes

[formal hornet]

uhhh

[tawdry saffron]

what they're saying is

there's a line going through M

that is perpendicular to BC

[formal hornet]

and hits N?

[tawdry saffron]

and that line goes through N

yea

[formal hornet]

but not perpendicular to AB

[tawdry saffron]

exactly

[formal hornet]

how tf

[tawdry saffron]

so what is the next step

[formal hornet]

do i do this shit

i need to find B

[tawdry saffron]

draw the line between M and N

[formal hornet]

y = x + 1 is the formula for

AB

[tawdry saffron]

yes but B can be anywhere on y=x+1

[formal hornet]

wait lemme get my

drawing thing

this what we know so far right

oh i am stupid

find equation of NM

[tawdry saffron]

I have this for where we're at

[tawdry saffron]

yep

[formal hornet]

4-2/4-3 =

2/1

or 2

so y = 2x + c

i nean

y = -2x + c

[tawdry saffron]

yep

[formal hornet]

2 = -8 + c

c = 10

y = -2x + 10

now set

y = x + 1 = y = -2x + 10

x + 1 = -2x + 10

3x + 1 = 10

[tawdry saffron]

no

[formal hornet]

3x = 9

x = 3

shit

what did i do wrong

[tawdry saffron]

now you're just finding N again

[formal hornet]

bruh

[tawdry saffron]

this line

[formal hornet]

fck

[tawdry saffron]

is perpendicular

[formal hornet]

ohhhh

wait

[tawdry saffron]

to BC

[formal hornet]

waut

wait

[tawdry saffron]

so what should you do first

[formal hornet]

y = -2x + 10

negative recipricals

so BC is

y = 1/2x + c

right

2 = 1/2(4) + c

[tawdry saffron]

yes

[formal hornet]

2 = 2 + c

c = 0

how

now

1/2x = x + 1

x = 2x + 2

x - 2 = 2x

-2 = x

[tawdry saffron]

good

[formal hornet]

y = 1/2(-2)

y = -1

B (-2, -1)

right

[tawdry saffron]

one sec

yea

[formal hornet]

k now

[tawdry saffron]

first find C

should be easy