help-0

[subtle mantle]

Ok so what have you got as the perimeter

[alpine sable]

2

[subtle mantle]

In terms of y and x

[alpine sable]

???

[subtle mantle]

Ok the perimeter of the semicircle is pi/2*x

So what’s the total perimeter

[alpine sable]

umm...

pi/2*x + 2y +x

???

[subtle mantle]

Extremely close

[alpine sable]

oops

there

[subtle mantle]

Correct!

And you know that this is equal to 2 from the question

[alpine sable]

ok ty

[subtle mantle]

No problem

[alpine sable]

Hi

can anyone help me in geometry

why is 8 / (2 / 3) = 8 * (3 / 2) ?

[alpine sable]

5 / 0.5 = 5 x 2 do you understand this?

because 0.5 = 1/2
and divide by 1/2 will be times by 2/1

oh

yea

boom

xd that is easy

thank you The Torrent.

[sudden tulip]

what to do

[vague coral]

distribution

@sudden tulip

[minor heath]

do you know the foil method in polynomial multiplication?

[alpine sable]

what does this sign mean //

parallel?

[vague coral]

yes

[sudden tulip]

no

[minor heath]

ok so basically the foil method is (a+b)(c+d) is ac+ad+bc+bd; multiply the variables in the first to each variable in the second

[vague coral]

well rip

[sudden tulip]

well thanks

thks so mucb

[subtle mantle]

20 mins late but it comes from standard distribution if you're curious, (ax+b)(cx+d) = ax(cx+d)+b(cx+d) = acx^2+adx+bcx+bd

[woeful pulsar]

what have you tried?

[woven pollen]

Is it 58 ft ?

I used Law of Sines because it's from that chapter.

I think it is asking for h ?

[woeful pulsar]

yeah looks like you modelled it correctly

[gray isle]

show work

how are you getting 58

[woeful pulsar]

hmm seems strange, I'll probably be spamming tan instead of sin, but sin is workable

[gray isle]

don't really even need to explicitly use the sine rule here

[woven pollen]

70/sin(26) = x/sin(26). and 70/sin(26) = y/sin(128).

[gray isle]

since one of those triangles is quite nice

[woven pollen]

got x and y, then used Herron's Formula.

[gray isle]

assuming those are your x and y

y isn't needed

once you've found x, you can determine h pretty easily from right triangle trig

[woven pollen]

ah ha.

I got 55 now.

[hollow owl]

What does it mean: Are there roots for a function in [1 / e, e] ?
f(x) = (lnx)^2 + lnx -1

I need to place the edges in a function?

[woven pollen]

I think that means: is there an x between 1/e and e at which f(x) = 0.

[hollow owl]

oh ok

now i know how to solve it

[glass lichen]

yeah just IVT

[proud salmon]

show working out and answer

[vapid swift]

do you know pythagoras theorem?

[proud salmon]

nope

[woven pollen]

see that little square in the corner. the sides touching it are always 'a' and 'b'. The diagonal side is always 'c'. Then, a^2 + b^2 = c^2 is a rule named pythagoras' theorem.

[proud salmon]

Thank you

[woven pollen]

fill in b=12. c=15. solve for a.

[golden basalt]

h^2= p^2+b^2

[woven pollen]

um, what is kick-to-kick?

[woeful dirge]

draw a diagram, if you havent already

[glass lichen]

doesn't matter for helping with the question.

[normal robin]

could I get some assistance of this please

[stark wadi]

hey

HumanA has a dog that speeds up at a rate by the equation f(x) = 0.5x^2 -0.3x + 10
HumanB's cat has a top speed of 3.9 meters per second.

Both the dog and cat start running at top speed. The dog is 10 meters ahead of the cat when he sees her and starts running. Does the cat reach the dog? I need the Y intercept for the cat (Function is y = 3.9x [y intercept here]

[stark wadi]

is the y-intercept of the cat 0 as it starts at 0?

[wary stream]

Use pythagorean theorem

[woven pollen]

Same thing, kinda. except now you have a=28, b=45. solve for c.

[warm idol]

I've been trying to figure out this one for a while noe

Now

[jovial reef]

what exactly is being asked? I don't understand the handwriting

[warm idol]

Find S

The face of the circle

[woven pollen]

I'm thinking nope.

[jovial reef]

is the 450pi m^2 the surface area of the cone?

[warm idol]

Distance equals speed multiplied by time

Or S = v.t

But there's no time here

[warm idol]

Just speed?

You guys learn different in the usa

[woven pollen]

A = 1/2 * r^2 * theta

maybe MICRO's f(x) should have been typed as f'(x). dunno.

[jovial reef]

so i assume 450pi is the surface area of the cone

and

,, \frac{r}{l}= \frac{3}{8}

[ocean seal]

werwhew

[jovial reef]

if we transpose it

,, l = \frac{8r}{3}

[ocean seal]

werwhew

[jovial reef]

the equation for the surface area of the cone is

pi(r^2) + pi(r)(slanted height)

we equate that with 450pi

[jovial reef]

and substituting the slanted height with this value you should be able to transpose it to get the value of pi(r^2)

that's just my idea

[normal robin]

could i get some help please

[rustic coral]

Can i get help with this please?

[queen pebble]

well so u know that the %loss is 23%

and you know that she loses 2162

dollars

so 23% would be?

23% loss means renuka loses 23% as compared to the price she bought it for

and we know she lost 2162

[normal robin]

9400 i think

[queen pebble]

yes

9400 is how much she paid for it

so how much she sold it for would be?

[rustic coral]

so?

its

2162x100/23?

[queen pebble]

yes

2162/23 is 1%

so x100 would be 100%

[minor lynx]

bro you can just do the formula

[queen pebble]

But 100% is how much she paid for

[minor lynx]

loss % = loss/cp x 100

its easier

if you find cp

then you can find sp

[rustic coral]

the teacher didnt give the formula for the question

[queen pebble]

there's no point in using the formula if u dont understand it

[rustic coral]

they gave this as a practice worksheet

[minor lynx]

but the formula is taught with the chapter

[rustic coral]

online classes are a mess

[queen pebble]

so 9400 is how much she paid for

[queen pebble]

but the question asks for how much she sold it for

[minor lynx]

anyways

9400-loss

[queen pebble]

so if 9400 is how much she paid, and she lost 2162 $

[rustic coral]

yes i got that

[minor lynx]

so 9400 - loss

gives selling price

[rustic coral]

7238

[minor lynx]

mmhm

[rustic coral]

thankss

can i get help for the second one too

[minor lynx]

ok so

1500 dollars is the computer price right ?

[rustic coral]

yes

[minor lynx]

so it depreciates 40 % at the start of every year

can you tell me what is 40% of 1500

[rustic coral]

uhh hold on

[minor lynx]

if you know how to find it out

[warm idol]

Thanks for the explanation

👍

[rustic coral]

3750

[minor lynx]

no no

1500 x 40/100

do this

[rustic coral]

o

[minor lynx]

see basically

40% is 40/100

50% 50/100

so percentage is represented like that

so we want to find 40% of 1500

[queen pebble]

percent is basically x 1/100

[rustic coral]

wait now im confused

[minor lynx]

yeah

[rustic coral]

ok nvm

got it

[minor lynx]

tell me how to represent 65%

[rustic coral]

65/100?

[queen pebble]

yes

[minor lynx]

yes

it works like that

so we want to know what is 40% of 1500

1500x40/100

cancel 0's

what did you get ?

[rustic coral]

60

[minor lynx]

600

[queen pebble]

i think u cut an extra zero

1500/100 is 15

[rustic coral]

LOL

[queen pebble]

15 x 40 is 600

[rustic coral]

i did

[minor lynx]

yeah

so 600 is 40% of 1500

so it depreciates that much

so it decreases by 600 in first year

1500-600 = 900

[queen pebble]

so now do 40% of 900

[rustic coral]

o

[minor lynx]

yess

[warm idol]

40% is 0.4

[queen pebble]

depreciates basically means decrease

[rustic coral]

240?

[warm idol]

240% is 2.4

[minor lynx]

40/100x900

40x9

=360

[rustic coral]

wha

[queen pebble]

hold on a sec

40 percent of 900

[warm idol]

Ok I will go eat

[queen pebble]

so 40/100 x 900

[minor lynx]

bon appetit

[rustic coral]

?////

what

wheres 240

how did u get 40

[queen pebble]

it depreciates by 40% each year

[minor lynx]

you have to find 40%

[rustic coral]

yea

240x40

over 100

[queen pebble]

where did the 240 come from?

[minor lynx]

this is an example he gave @rustic coral

not in the sum

[rustic coral]

wha

i am

so

confused

what do we do to the 600

isnt it 600x40/100

[queen pebble]

600 is how much it decreases

so if it decreased 600

[minor lynx]

ok wait lets do it from the start

40% of 1500 is 600

[rustic coral]

yes

[minor lynx]

so it decrease 600

1500-600=

900

ok ?

[rustic coral]

why minus

[minor lynx]

it decreases

[rustic coral]

oh

[minor lynx]

by 600

[queen pebble]

depreciates means decrease

[minor lynx]

got it ?

[rustic coral]

so now what do we do

[queen pebble]

the price "depreciates", so we have to subtract

[rustic coral]

so far

[minor lynx]

so we got 900

[queen pebble]

so after one year

[rustic coral]

we found the decrease in the first year

[queen pebble]

the new value is 900

[rustic coral]

Oh

okok

[minor lynx]

we have to find for 3 years

[rustic coral]

then is it 300?

[queen pebble]

so now for the second year, we consider 900 as our base

[minor lynx]

so find 40% of 900

[rustic coral]

oh

ok

[queen pebble]

do u know ratios?

if u know ratios this will make this so much more simpler

[rustic coral]

360

[minor lynx]

yes

[queen pebble]

yes

[rustic coral]

i never understood ratios fully

[queen pebble]

oh ok

[minor lynx]

900-360

[queen pebble]

its fine

so it depreciates 360 now

[minor lynx]

so 900-360

[rustic coral]

530?

540*

[queen pebble]

yes

[minor lynx]

yes

[queen pebble]

so after two years

thats the new value

for the third year

[minor lynx]

now 540 is base for 3rd year

[queen pebble]

so 40% of 540?

[minor lynx]

yes

540x40/100

[rustic coral]

216

[minor lynx]

you subtracted too ??

wait

no

[queen pebble]

216 is corrent

correct*

[minor lynx]

yes

ok

[rustic coral]

324

?

[queen pebble]

yesss

[rustic coral]

aaaaaaaaaaaaaa

[minor lynx]

thats all

[rustic coral]

POG

tysmmm

[minor lynx]

sum done

[rustic coral]

🙏

[minor lynx]

thanks to @queen pebble

thank him

[rustic coral]

yes

thank you guys

[queen pebble]

and @minor lynx too

[queen pebble]

anytime

[minor lynx]

: )

hope you understood gl for the rest !

[rigid smelt]

yes

and chain rule ofc

like i said

the chain rule

there are two functions in cos(4/x)

why use quotient rule for 4/x?

you can just simplify differentiate that using power rule

quotient rule are more appropriate when its a much more complex fraction such as
(x^2-e^x)/(x+3)

with derivatives you just need to remember the core rules such as product, quotient, and much importantly the chain rule, the rest of the other stuff can just be memorised thru practice

forgot the chain rule

[ocean seal]

waler

[rigid smelt]

and whats 1/x written as some power of x?

so its 4x^(-1)

how do you differentiate that?

seems very familiar to a basic rule

yeah

[ocean seal]

waler

[rigid smelt]

you've got the derivative of that

yes

yes

[alpine sable]

hey

if we multiply the a non terminating quotient by numbers who are lower then the divisor

will the product of all those numbers will be a non terminating number aswell

does this trick apply on every non terminating number?

[rigid smelt]

yes

[alpine sable]

can you help me with my doubt aswell @rigid smelt

[rigid smelt]

sorry, i dont really understand what you mean

and ive gtg

[alpine sable]

okay fine

[stable pecan]

What have you tried?

[sudden tulip]

hi

[sudden tulip]

left to right

[sudden tulip]

Ans is a

[rocky silo]

I dont get anyone of those

[sudden tulip]

?

[rocky silo]

I get x + 60

[sudden tulip]

for sawyer's qs ?

[rocky silo]

yeah

[sudden tulip]

basicaly expand from left to right

multiply the 3 into the (2x-1)

[woeful dirge]

don't just give answers. give explanations and lead people in the right direction.

well you are now but do that first

[rocky silo]

yeah which is 6x-3

[sudden tulip]

dont forget to expand the 4^2 ans the 6^2

[sudden tulip]

Noted , will be carefulll

[rocky silo]

6x-3 + 16 -5x + 2 + 36 + 9

[sudden tulip]

i see the mistake

[rocky silo]

?

[sudden tulip]

ur not wrong but it shld be 36/9

[rocky silo]

oh

[sudden tulip]

u prob saw the divide as plus

[rocky silo]

This happen to me on an exam. I saw all 3 as eights

[wary stream]

You can't get help for tests

[sudden tulip]

is the strength test the qs name ?

[gray isle]

the url does say practice though

i'd still recommend going through the whole thing first

[wary stream]

You can mess with the URL, if you know what you're doing

[gray isle]

and also show what you tried

one of the easiest things to do actually

well once its over and there's no ambiguity to dishonesty, people will be more than happy to assist

[pearl marlin]

Try using an=ar^n-1

[clever helm]

Is the answer: 4x3⁴ ?

[vapid swift]

no

[warm trench]

No it's 1/(4x3^4)

[pearl marlin]

With negative over it

[pearl marlin]

$(4 \times 3^{4})^{-1}$

[ocean seal]

learn4math

[alpine sable]

Captionless Image

Captionless Image

[minor lynx]

4/3^4

in simple words

[pearl marlin]

4 should be in deno.

[minor lynx]

why ?

oh mb

yes

4 in deno

[clever helm]

Why negative?

[pearl marlin]

Okk use rule $\frac{a^{m}}{a^{n}}
=a^{m-n}$

Provided a is not zero

[ocean seal]

learn4math

[sudden tulip]

I have expanded everything

[vague coral]

and

[sudden tulip]

do i compare terms next ?

[vague coral]

Yes

what did you get btw ?

[sudden tulip]

in progress

im comparing now

[vague coral]

I mean what did you get by expanding

[sudden tulip]

6x+6ysqrt5-3xsqrt5-3ysqrt5

[vague coral]

try to factorize by sqrt5

[pearl marlin]

Multiply and equate the cofficents ,that will help

[sudden tulip]

6x+3y-3xsqrt5?

[pearl marlin]

Then x=10 ,

[vague coral]

$6x + (6y - 6x)\sqrt{5}$

[ocean seal]

Herels

[sudden tulip]

how did you get that ?

[vague coral]

by factorizing by sqrt5

[sudden tulip]

how did u get the -6x

[vague coral]

-3x - 3x = -6x

[sudden tulip]

shoot i did not get that

[sudden tulip]

i think i made an oopsie here ?

[vague coral]

dunno, you said you got this by expanding right ?

[sudden tulip]

wait typo

[vague coral]

If you made an mistake
🤷‍♂️

[sudden tulip]

damn im really sorry

i edited it alr

[vague coral]

so it's $6x + (3y - 3x)\sqrt{5}$

[ocean seal]

Herels

[sudden tulip]

yep

[vague coral]

now do as learn4math said

[sudden tulip]

so i need not compare terms ?

[vague coral]

what do u mean by compare ?

[sudden tulip]

because the right hand side has 81-30sqrt5

[vague coral]

You need to look at the coefficient

find x and y such that :
6x = 81
and 3y - 3x = -30

[sudden tulip]

yes i did that

[vague coral]

gg

now you solve it

[woeful pulsar]

probably more completing the square

[pearl marlin]

Looks like it forms an ellipse.(after completing square)

[alpine sable]

help

[pearl marlin]

Picture is not clear.

[alpine sable]

oaky

this one?

[woeful pulsar]

consider that a is a zero

[pearl marlin]

See @woeful pulsar hint

[alpine sable]

what tell me

[pearl marlin]

Put x=a and take that equation=0 then solve for a.

[woeful pulsar]

if (x-5) is a factor, then 5 is a zero

[alpine sable]

yeah i saw that

x=a

but a 0?

do that please

[woeful pulsar]

when I say "X is a zero" it means "plugging in X makes the expression zero"

[alpine sable]

[woeful pulsar]

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

[pearl marlin]

Put $x=a $ then $a^3 - a \times a^2 +a+2=0$\
Now solve for a

[ocean seal]

learn4math

[alpine sable]

Can somebody please me with This?

(Translated: Two Cars leave simultaneously one to meet the other from two places 180 meters apart. The one from the source travels at 20 m/s to the right and the other moves at a speed of 25 m/s to the left.
A) calculate at what instant and in what position they will be.
B) represent the time-position graph for both mobiles and check the graph for the previous result.)

[pearl marlin]

Let they meet after time t so time is same for both

Now take in time t car a travel x distance , then b travel 180-x

Now t= x/20 , t= 180-x/25

Equate them because time is same so

X/20=180-x/25 , solve for x ,you will get al answer

[alpine sable]

...I don't understand

[pearl marlin]

Visualize it .

[alpine sable]

Ok, let me process this. You told me I must Multiply travel × distance?

In the Car A

[pearl marlin]

Nop time=distance covered /speed

[alpine sable]

Ok so... The position it's 52,5 metres/2,62 Seconds?

[pearl marlin]

Did you calculate the x?

[alpine sable]

I think

[pearl marlin]

X=80 meter

[tranquil leaf]

can anyone give me a rundown on how to do this?

its been so ridiculously long since i've touched geometry

[twin condor]

a^2 + b^2 = c^2

C is always the largest side (hypotunes)

[pearl marlin]

Use Pythagoras. , And area of right angle triangle 1/2 * base* perpendicular

[tranquil leaf]

Okay Ty

[crisp radish]

can someone help me out here pls?

[alpine sable]

Can someone please help me understand this i know im missing something

[twin condor]

What does the question want eaxctly?

[crisp radish]

well if you referring to mine look at "a)"

[twin condor]

f’ < 0 ?

[crisp radish]

hate to break it to you but it is x < -4 and x > 1

[twin condor]

Look at the slopes which slopes look - to u?

[twin condor]

No i meant the question is it this xdd

😂😂

[crisp radish]

oh😩

[twin condor]

Yea if u look at slopes u can find answer

[pearl marlin]

F'(x)<0 when it is decreasing

[pearl marlin]

From r to -4 it is dcreasing then from 1 to s is also decreasing

[twin condor]

so u got
Odd Odd Even
2. 4. 6
So only 1 statment is correct thats why u choose 1 cuz 2 and 4 are even not odd

[keen mason]

did u just make a discord account to ask questions XDDD

[pearl marlin]

To answer questions,

[keen mason]

Even better

smart

[icy notch]

can someone help me out with this?

[lone heart]

From

#❓how-to-get-help

Rule 3

Stick to one channel and don't post the same question in multiple channels. Please don't ask for help in other channels if no one is responding in the one you have posted your question in.

[tranquil leaf]

sorry so im still lost

on question 1 it's asking me to find b

which is 8

[pearl marlin]

Which question?

[tranquil leaf]

it would be the first one

[unborn monolith]

use the theorem

[icy notch]

just plugin the numbersd

[unborn monolith]

the theorem is
a^2 + b^2 = c^2
c is the longer side

the hypotenuse

[tranquil leaf]

so in this b would be 72?

(the missing side)

[scarlet spire]

@tranquil leaf

r u talking about this triangle?

[tranquil leaf]

ye

[scarlet spire]

start with question 5 instead

do you know what the pythagorean theorem is?

[tranquil leaf]

ye so is the first one?

wrong

[scarlet spire]

you need to use pythagorean theorem for all the questions

question 5-9 are easier tho

so start with 5

what is pythagorean theorem?

[tranquil leaf]

number 5 would just be 13

because 13^2 = 169

it's a2+b2=c2

[scarlet spire]

yea

[tranquil leaf]

so wouldn't 1. be 72 or 8^2?

[scarlet spire]

72?

[tranquil leaf]

yeah because in number 1 it's 17^2 + b^2 = 19^2

[scarlet spire]

yea

19^2 - 17^2 = 72

so b^2 = 72

now b = ?

[tranquil leaf]

8 right

[scarlet spire]

no

b = sqrt(72)

what is the square root of 72

[tranquil leaf]

it says round to the nearest 10th

[scarlet spire]

ik

[queen pebble]

that means one decimal place

[scarlet spire]

tenth in the first decimal place

[tranquil leaf]

oh

[alpine sable]

why does cos 0 = Cos -1

[pastel jasper]

NOT SURE: but Cos(v)

to get the v (angle) out of Cos you do Cos^-

[tranquil leaf]

so would it be 6√2?

[alpine sable]

Ohhhhh thank you that makes sense

[scarlet spire]

well yes but if its asking you for round to the nearest tenth it would be just 8.5

[tranquil leaf]

okay tyvm ❤️

[pastel jasper]

Is this final form right?

it's when proving the differentiation of f(x) = b * a^x

is multiplying b on the final result mathmatically legal?

[noble sinew]

yes d/dx b * e^(ln(a) * x)=b * d/dx e^(ln(a) * x)

you can factor out constants

[alpine sable]

is this exam or quiz

@halcyon ginkgo

each question is worth 2 points

<@&268886789983436800>

cus we respect academic honesty

[tall wing]

alright

[alpine sable]

thx

https://youtu.be/uPWVm5deIlc

[frail grove]

2a - b - c + d = 0
4a + c + d = 0
2a + b + 2c = 0
a + c + d = 0

I typed this system of equations in Photomath and it gave me this result : (a, b, c, d) = (0, 2d, -d, d)
So i guess that i can give d any value
But why do we get to choose only d? (not a for example)

[alpine sable]

cus we only need 1 variable

keep in mind that it's not the only way to solve

that's 1 min c u tomorrow

[frail grove]

Yeah but how do i know that i can choose a random value for a variable?
Cause I've seen systems with 4 variables that gives precise result.

[glass lichen]

yeah, you can have an invertible A on Ax=b

My guess is that co-efficient matrix isn't invertible, thus the kernel is not just {0}

[frail grove]

What does invertible mean 🤦‍♂️

Kernel?

[rigid fulcrum]

i got a question

[glass lichen]

kernel = nullspace of a matrix

[frail grove]

Busy channel

[glass lichen]

invertibility of a matrix is whether an inverse exists or not, loosely speaking

[rigid fulcrum]

why you like maff

[glass lichen]

in use.

[rigid fulcrum]

?

[alpine sable]

this channel is occupied can you stop interrupting this

[frail grove]

I don't even know what a matrix is

I didn't study it yet

[rigid fulcrum]

No

[alpine sable]

@rigid fulcrum uh i mean just ask on other question channel

[rigid fulcrum]

ok

[alpine sable]

<@&268886789983436800> give him lesson

[glass lichen]

he's just a troll

[rigid fulcrum]

No

[alpine sable]

#❓how-to-get-help

[sly mantle]

@rigid fulcrum please ask in an unoccupied channel

[rigid fulcrum]

No

[pearl marlin]

Then make use of substitution method ,

[lunar garden]

can someone help me on this?

Thank you

[gray isle]

what have you tried?

[lunar garden]

are you sure?

It cant be AAA

Wouldn't it be not congruent then

[alpine sable]

90°=90°
the bottom angle= the other bottom angle
this the third angle= the other third angle of the other triangle

[pearl marlin]

What you have tried ,?

[lunar garden]

I tried it and wasn't sure if i was correct

[pearl marlin]

I deleted it because i want to know what you have tried to Solve this?

[gray isle]

Wouldn't it be not congruent then
correct. AA(A) is not enough to justify congruence

[lunar garden]

Ok thank you

[alpine sable]

yes if both triangles have 2 equal angles, then the third is equal because the sum of angles in a triangle is always 180°

[pearl marlin]

Hmm they are similar

But we can't say about congurence

[alpine sable]

that is first is right then both have 90°. the other 2 are equal so make that 70° then definitely the other two are 20° and hence equal

[lunar garden]

but this one is congruent correct?

[alpine sable]

yes

SAS

[lunar garden]

yeah

[alpine sable]

they have a common side, equal angles, and two given equal sides

[lunar garden]

Yeah thats what I Thought it was

[pearl marlin]

The. SAS

[lunar garden]

For this problem right here do i add 22 and 6?

To get the other long side

so 28 divided by 6 right?

[unborn monolith]

28/6 ? why

to find RD ?

[lunar garden]

dont you have to do 22 plus 6

oh yeah i have to find RD

that would be 4 right?

36/9 is 4

[unborn monolith]

why divide ?

[lunar garden]

Im not amazing at these but what do i do for that

Subtract?

so 36-9 gets 27

[unborn monolith]

yes

[lunar garden]

ok then what?

do i divide?

[unborn monolith]

no subtract

RD is 27= 36-9

[lunar garden]

ok i got that one

but after that i subtract?

[unborn monolith]

it says AA, SSS, SAS

[lunar garden]

Yes i have to find it its either AA,SSS,SAS or not

I think its not congruent

[unborn monolith]

if RS and DE are parallel

then ang CSR = ang CED and
and CRS = ang CDE

we also have 2 sides that are equal
DE and CE

[lunar garden]

So its SAS?

[unborn monolith]

thats 2 angles and 1 side

meaning its AAS congruency rule

[lunar garden]

Oh ok

[unborn monolith]

did you get it ?

[lunar garden]

It cant be AAS tho

its similar

thats AA,SAS,SSS only

[unborn monolith]

AA and AAS are the same thing

[lunar garden]

oh my bad

[unborn monolith]

oh no wait

[lunar garden]

what is it

?

Its AA right?

[unborn monolith]

as yes its AAS

two angles
and a non included side

there is another called ASA
which is 2 angles and an included side

[lunar garden]

Ok so in a similar statement it would be AA

So its AA and for the similar statement its CRS

?

[vapid swift]

do you what is the formula for area of sector?

[hot finch]

isnt it area of sector/piR2=mAB/360?

[vapid swift]

area of sector is 9theta/360)*pi r^2

[night bramble]

can someone show me step by step on how to simplify this

[jaunty plover]

$x^\frac an = \sqrt[n]{x^a}$

[ocean seal]

PristineWolf

[alpine sable]

Turn both sides into exponentials using the formula above

Next make the bases equal using exponential rules

Lastly, set the exponents equal to eachother ans solve for x

[night bramble]

do you mind writing it out too, cus it would be a bit more easy to understand alongside of what u just said

[alpine sable]

Id rather see you try and help along the way

What would the exponent be on the left side

$\sqrt{2^{4x}}$

[night bramble]

4x is inside the sqrt

[icy notch]

can anyone help?

[ocean seal]

Em

[alpine sable]

Jackson, find a free channel

Occupied

Solving is not helping

[jaunty plover]

my bad

[night bramble]

x^2/4?

[alpine sable]

The base is 2

What if you had $\sqrt{3^7}$

[ocean seal]

Em

[alpine sable]

To turn it into an exponent, you would do $3^\frac72$

[ocean seal]

Em

[night bramble]

oh

so it would be 2^4/2

?

[alpine sable]

$2^\frac{4x}{2}$

[ocean seal]

Em

[alpine sable]

The x is missing

No, try another channel

[night bramble]

oh, so the x is what we would be solving for later on

right

[alpine sable]

Later on yeah. Doesnt disappear

Right side, same principle. But your root is 3 instead of 2 now

[night bramble]

okie

wait

[alpine sable]

<@&268886789983436800>

[sly mantle]

ty

[alpine sable]

Try another channel both of you

[night bramble]

@alpine sable like this?

or would it be 6 isntead of 3

[alpine sable]

Its good

[alpine sable]

I'm getting the answer 1) but book says 4)

Left was square root. We dont normally write the 2

Now, on the right side, you wanna get 2 to the power of something

Can you transform the 4 into 2^something?

Helping with a problem already. If you want, you can try another channel or wait for me to finish this

[night bramble]

wait what

[alpine sable]

$\sqrt[2]{a}$

[ocean seal]

Em

[alpine sable]

Regular root has a 2 like that, but we dont normally write it

Which is why you divided your exponent by 2 and the other one by 3

And not by 6

[night bramble]

okay so what i had shown before is fine right

[alpine sable]

Yep

Next step is to transform the 4 into 2^something

[night bramble]

why 2?

[alpine sable]

Because the left side is 2

[night bramble]

so ur dividing?

the 4 by 2

or just making it = the same thing

[alpine sable]

If we have the same base, we can say the exponents are equal

[night bramble]

oh okie

[alpine sable]

So if we have $a^c=a^b$ we can just say $c=b$

[ocean seal]

Em

[alpine sable]

Dont divide the right side by 2

Rather, write it as 2^2

So you get $2^{2\frac{4x}{3}}$

[ocean seal]

Em

[clever helm]

y = 1-3.2+5.2²

y = 1-6+5.2²

y = 1-6+20

y = -5+20

y = 15

Is this all correct?

[night bramble]

sorry, something else important had caught my attention @alpine sable

[alpine sable]

Are you working on it still or should I move on

[night bramble]

okay, so if we write it like that then would it 2x = 8x/3

?

yea i am still working on it

[alpine sable]

That is correct

[night bramble]

okay i got it from here

thank u

[inner token]

can someone help me understand this question?

[alpine sable]

@alpine sable still need help?

[glad ore]

hiya sorry this is my first time posting here so if im supposed to be asking somewhere else I apologise so I missed my lesson on matrices and have been given a question to do x+y and x*y of this matrices but not sure what that means for this or how I would do it can anyone help

[gloomy lintel]

This question doesn’t make much sense, is there a binary operation attached to that

[glad ore]

that's what I dont understand about the question I dont understand what xyz is

[glad ore]

actually ill send the full question I was trying to just find a way to understand the question without been given the straight answer so I could use what I learn to answer it, this is the full question

[alpine sable]

I got it thanks

[glad ore]

look up laws of logarithms

[wary stream]

Why are the problems using x, y, and z while the given matrices are labeled as I, B, and H?

[glad ore]

I dont know im so confused

I missed my matrices lesson so im trying to teach myself but I dont understand the question

all I can think is it:
x
y
z
like that?

[wary stream]

The questions, a, b, c, d, e uses variables X, Y, and Z. The matrices given at the bottom, are labeled, I, B, and H

[glad ore]

thats because this is the question, but each of us were given 3 matrices seperate and mine were the 3 ive shown so I edited the question

[wary stream]

When adding/subtracting matrices, the dimensions must match

[glad ore]

right, but what's x y and z tho haha im so confused is x y and z each column?

[gloomy lintel]

I don’t think it’s possible to do the question because you can’t just assume the order

[wary stream]

When multiplying, the inner dimensions match, [3 x 3][3 x 2] works but [2 x 2][3 x 3] wouldn't

[gloomy lintel]

Email your teacher and ask which one is XYAnd Z?

[glad ore]

I understand, but this is my literal assignment like an exam, dont worry im not breaking the rules I dont want anyone to solve it for me my original question was a different matrices but asking the same thing now im just trying to understand the logic of the question

[glad ore]

yeye that makes sense

[glad ore]

well it was one of the matrices but asking for different results than my assignment is asking

should I just send like an entire page of the assignment brief because if it doesnt make sense I kinda wanna know because ill talk to my tutor, like im not asking for you guys to solve it for me

[alpine sable]

how did it get from this to this

[glad ore]

laws of logarithms

[alpine sable]

Yes, but which one was used here

[glad ore]

they used the 3rd to bring the power down

[alpine sable]

oooh ok thanks

appreciate it bro

[glad ore]

no worries

[solar pagoda]

hello i have a small question about this one

i solved for x=1

but the indices are same for (x-1)^n+r

so i couldn't make up a recursive formula for cn

what am i missing

[wicked axle]

can someone explain this to me

i thought it would be (b*a)/c

[solar pagoda]

(b/c) / (a/1) = b/c * 1/a = b/(c*a)

if you divide b/c with a, the a comes to the divider which is near the c

[glad ore]

can you multiply a matrices with different dimentions

[glass lichen]

the columns of the 1st has to be the rows of the 2nd

so nxm and mxp is fine, but nxm and pxm isnt

[glad ore]

nxm mxp? what you mean

can x by multiplied by z here?

[ionic jewel]

xz yes

zx no

[pale terrace]

A piece of wire 100 cm long is divided into two pieces. One piece is used to form a circle and
the other a square. Find the lengths of wire cut so that the combined area of the circle and the
square is a minimum.

I came as far as finding an equation for both shapes, I'm stuck on what to do after that

[glass lichen]

ZX is fine

(1x2) times (2x2)

wait no, sorry

mixed up the numebrs lol

[ionic jewel]

find a formula for the area in terms of length x and length 100-x

then find the minimum of the equation

[lime lava]

What is the period in context of a unit circle?

The exact question is "What is the domain, range and period of y = -cos(x)?"

[glad ore]

alright thank you I think that makes sense as z x there arent equal rows and colums to multiply

[ionic jewel]

the period is how long it takes that trig function to make a full loop around the unit circle

it's 2pi for sin and cos

[pale terrace]

I got that far, but the thing that's messing me up is that they want the combined area of the circle and the square to be a minimum

[wraith pond]

can someone help me with question number 16?

[alpine sable]

why is cosine "stronger" than sine?

[ionic jewel]

what does this mean

[alpine sable]

yes im typing it out

for example, if you have a function sin(cosx)

and you iterate it thousand times, it converges near the fixed point of cos(cos(cos(cos(cos(x)) (around 0.7)

and it doesnt converge near the fixed point of sinx which is 0

actually, to be more accurate, the convergence point of cos(cos(cos...) is 0.739

and the convergence of cos(sin(cos(sin...) is 0.6948

so sin definitely plays a role, but why is it so negligible in comparison to cosine

essentially im finding the number that satisfies sin(cosx)=x

[ionic jewel]

seems like a relatively simple explanation: cos(x) takes in a radian angle and outputs a number from -1 to 1. when you put -1 to 1 average numbers into a cos() function, you can see how on the unit circle it's always going to be close to 0 radians, hence giving higher value for cos(), and averaging 0 for sin, since sin(0) = 0

I believe I answered what you are asking here?

[alpine sable]

yep. thanks for the consice explanation

[crude yarrow]

Hi

So um I've got finals in 2 weeks so I just joined this server so I could get some extra help 🙂

[pliant ingot]

did you have a question?

[terse iron]

yes

so BT and AB are the same length right?

[pliant ingot]

yes

[terse iron]

so is the measure of arc AB 9

[pliant ingot]

which means the arc lengths are both 110 degrees

what percent of the entire circumferance is 110 degrees?

[terse iron]

30?

[pliant ingot]

close

can you give me a fraction?

[terse iron]

no ):

[pliant ingot]

how many degrees are there total, in the whole circle

[terse iron]

360?

[pliant ingot]

yep

so just divide

110/360

which = 11/36

so now if we multiply that ratio by the length of the circumferance, we get the length of the arc AB

so the question is what's the length of the circumferance?

[terse iron]

the arc length of ab

so im guessing

[pliant ingot]

guessing?

[terse iron]

yes

[pliant ingot]

we have arc AB = 11/36 * circumferance

[terse iron]

yes

[pliant ingot]

how do you calculate the circumferance of a circle?

[terse iron]

find the radius?

[alpine sable]

diameter

[pliant ingot]

there's an equation you should know, which yes, uses the radius

[terse iron]

id ont

[pliant ingot]

google it 🙂

[terse iron]

S

[pliant ingot]

okay, so plug in r = 18cm and what do you get

[pliant ingot]

no

use fractions

[terse iron]

32?

[pliant ingot]

show your work

don't expand pi, just keep it there

[terse iron]

oh ok

so c=201?

[pliant ingot]

no

it should have a pi in it

don't expand pi

[terse iron]

i suck at this

[pliant ingot]

just substitute

[alpine sable]

He's telling you to leave it in terms of pi

[pliant ingot]

C = 2pi R, substitute pi=18cm: C = 2pi*18cm

now just simplify "2pi*18cm"

[terse iron]

4

wait

no

[pliant ingot]

your answer needs to have 'pi' somewhere in it

[terse iron]

36 pi

idk

[pliant ingot]

ya

[oblique verge]

if radius is 18 cm then yes that’s correct

[pliant ingot]

so then the length of the arc AB is 11/36*36pi

which equals?

[terse iron]

34

if we round it

35

?

[pliant ingot]

why are you rounding?

give the exact answer

[terse iron]

cant

have to round for that problem

[pliant ingot]

well give the exact answer to me, lol

[terse iron]

34.5575191895

?

[pliant ingot]

no

it should have 'pi' in it

[terse iron]

wtf

[pliant ingot]

since that's the simplest way to describe pi exactly

[terse iron]

11 pi

[pliant ingot]

you literally just have to cancel 36,

ya

gj

[terse iron]

sorryyyyyyyyyy

thanks for the help much appra

[pliant ingot]

np

[eager pebble]

can someone explain how this is simplified like that?

It's not difference of squares so how do you get that

[pliant ingot]

you factor it

[ionic jewel]

2x^2-x-1 = (2x+1)(x-1)

[gray isle]

^2

[ionic jewel]

edited

[violet basalt]

you need help with solving for x?

[robust crow]

Can you also help with the distribution of chemical elements?

[violet basalt]

sry idk what that is :((

[novel lintel]

Can I write a,b,c > 0 where a,b,c are integers

?

[ionic jewel]

sure

well

that doesnt specify they are integers

the easier way is

$a,b,c \in \bN$

[ocean seal]

bunny

[ionic jewel]

a, b, and c in natural numbers

or

[novel lintel]

Yeah I was just wondering the a,b,c > 0

thanks!

[ionic jewel]

yes you can do that

although I suppose $\bN$ is ambigious if it includes 0 or not

[ocean seal]

bunny

[ionic jewel]

so $\bZ^+$ or $\bN^+$ is probably better

[ocean seal]

bunny

[novel lintel]

hum ok ty

[ionic jewel]

but either way comma separated is fine

i see things like

$0 \leq a,b \leq 5$

or whatever

[ocean seal]

bunny

[alpine sable]

please some one help

ok

i need help

just solve the equation

I have a question

15x + 1 = 10 + 12x

[alpine sable]

what equation

oh

the 2 lines are paralel to each other

sheikh go to other question channel, and just ask the question.

no i am not solving for x i need the angle @alpine sable

are you sure about that

it says what is the measure of the angles

what about this. if x = angle

or maybe, you dont know what these parallel lines are doing.

so i just solve for x 15x + 1 = 10 + 12x

[gray isle]

yes,
solve 15x +1 = 10 + 12x

[alpine sable]

it is 3 right

x=3

[gray isle]

yes,
now determine the numerical size of the angles

[alpine sable]

ohhhhhhhhhhhhhhhhhhhhh

15x + 1 = 12x + 10
3x + 1 = 10
3x = 9
x = 3

[gray isle]

the angles are dependent on x,
to determine the numerical value angles you may want to first determine x

[alpine sable]

so now how can i determine the angle

use the 3 in these expressions.

15(...) + 1 = angle

15 x 3 + 1?

or the 12x + 10 = angle

yayyy i got it 46

nice

thank you gusy for helping

now I understand how to solve for angles

no problem man.

keep in mind, if you work with these, check the lines, if there are parallel to each other.

yea it will havce the arrows right

or the identities of shapes and lines

like that

it will give you clues on how to get more info

yea

[icy notch]

can someone help me pls

[eager pebble]

I believe that's the sigma

aka σ

[icy notch]

so would but just be 26.89?

or 26.90?

because i gotta round

[zinc vigil]

what is a vertical/horizontal bend in afunction?

is it the same thing as a vertical/horizontal tangent of a function?

[austere dock]

what is laplace transform of {sin(at) del (t-b)}?

[undone tangle]

Could someone help pls

[lime lava]

If the point P(-4/5,y) lies on the unit circle and P is in the third quadrant, what is y? Explain.

[gray isle]

consider pythagoras

[undone tangle]

<@&286206848099549185>

[lime lava]

<@&286206848099549185>

[austere dock]

can someone help me

[gray isle]

consider pythagoras

[zinc vigil]

how would I create a function using 6 out of the 7 characteristics vertical bend, a cusp, horizontal asymptote, vertical asymptote, local min/max, absolute min/max and oblique asymptote?

<@&286206848099549185>

[coral pagoda]

For starters, the 6 out of 7 comes from the fact you can't have both a horizontal and oblique asymptope.

Second, can you please be more specific on what you mean by cusp and vertical bend?

[zinc vigil]

by vertical bend I'm pretty sure it means where the function has a vertical tangent