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1 messages · Page 29 of 1

digital moon
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lemme recheck

alpine sable
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sure

digital moon
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youre right

alpine sable
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well your question is solved now

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then

digital moon
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0'2 - 16'2 = 2.4.s
-256 = 8s

alpine sable
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there is an error

digital moon
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where?

alpine sable
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a should be negative here..because it's the case of retartation

digital moon
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oh

alpine sable
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where final velocity is less than initial one

digital moon
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-256 = -8s

alpine sable
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yeah

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ya in standerd 9th right

digital moon
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so 32

digital moon
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also im not in standart

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standard

alpine sable
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ohh i guessed ya from india..cz i was tutoring my student same question...

digital moon
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no

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so 30% normal and 70% religious courses

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30% like physic math biology etc

alpine sable
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and what in 70%

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like which religion

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okey gotcha

digital moon
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okay thx btw

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.close

lone heartBOT
#
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dusty storm
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dusty storm
#

help

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@dusty storm Has your question been resolved?

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rose olive
lone heartBOT
rose olive
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Can anyone tell me this question is asking

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I know probabilities

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And also set notation

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But i am still not sure

wheat prawn
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There is a formula about that

rose olive
wheat prawn
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the probability of the union of A and B

rose olive
wheat prawn
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yes

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The formula: ||P(A∪B)=P(A)+P(B)−P(A∩B)||

rose olive
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So I am thinking here that this doesn't have anything to do with probability, because aUb is just values of both sets listed

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It would make sense to ask the the probability of two sets intersecting

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So i am still not sure what is it asking

wheat prawn
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It is the probability of A to happen or B to happen

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If C = {1,2,3,4} is a set of possible values and A = {1,2,3}, B = {4} the probability of randomly picking a number from C that either belongs to A or to B is 1 (note that it is an or and not a xor).

rose olive
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How does it connect with the question

wheat prawn
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You can just apply the given data in the above formula I sent to find P(A∪B)

rose olive
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Yea but, i still don't quite get what the question is asking though

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Ill make it more clear

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What does it mean when it says p(A)=1/2

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Probability that an element of a is 1/2?

wheat prawn
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Let p(i) be the probability of each element i∈A. Then p(A) = Σ(p(i)) i∈A

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If it is 1/6 the probability of getting any number of a fair dice, then getting an even number is 3(1/6) = 1/2

rose olive
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Can you translate the question into plain english, i might get it that way...
Or maybe you have any Video that can help me with this

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Ill look up somw Video

wheat prawn
rose olive
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It means "or"?

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Maybe i am mixing up the notations here

true pulsar
# rose olive Maybe i am mixing up the notations here

It means "or" in the context of your problem. The probability of A or B.
You can reconcile this with the idea of a union by considering picking a random number 1 through 10, where A and B are both sets of numbers between 1 and 10. So P(A U B) would be the probability of picking a number in the union of A and B, or the probability of picking a number that is in A or B

rose olive
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alpine sable
#

hello, i need help with my pre-calc homework

in specific i am doing functions and determining the function value - if there is one

i made a diagram describing the steps ive taken. i am stuck on what i should do next

alpine sable
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The function value means you are trying to find the value of x so it can equal to 0

abstract badge
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the outcome is going to be in terms of y

alpine sable
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i do not know what to expect because i have not done this math before and it was taught very poorly

abstract badge
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as usual :/

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evaluating a function means basically replace x with whatever they want to replace it with then simplify

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usually they tell you to evaluate the function by replacing x with a number

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in this case they didnt so the the solution comes out in terms of y

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since the input was in terms of y..............( y+3)

alpine sable
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right

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argg i dont know man im confused

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.close

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dawn quail
lone heartBOT
dawn quail
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Are these notes correct?

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a² + b² = c² also I see the Pythagorean theorem for hyperbola but ellipse seems weird to me.

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ellipse is like a² - b² = c²

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@dawn quail Has your question been resolved?

dusty storm
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.reopen

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@dawn quail Has your question been resolved?

wary stream
lone heartBOT
#

@dawn quail Has your question been resolved?

dawn quail
# wary stream That's right

Thank you - so what causes the ellipse foci to be a² - b² = c² but the hyperbola foci is a² + b² = c²? The way Pythagorean theorem is taught is a² + b² = c²

wary stream
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Equation of Focal length of ellipse is derived using definition of ellipse.The formula generally associated with the focus of an ellipse is c2=a2−b2 where c is the distance from the focus to center , a is the distance from the center to a vetex and b is the distance from the center to a co-vetex .

#ConicSectionsEllipse,#FocalLengthEllipse,#Elli...

▶ Play video
dawn quail
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Would a a deep understanding of this be needed for calculus 1?

wary stream
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No

dawn quail
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Great

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I won’t worry about it until later

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I’m just starting my first year of calculus 1 this semester and trying to get a head start

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alpine sable
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what is 5*+3

lone heartBOT
alpine sable
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and

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how do i solve it

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o nvm

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.close

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west bluff
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Hello, what happens to the exponent when looking for the common monomial factor

wary stream
west bluff
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14f^3 + 42f^5 - 77f^4

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west bluff
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.close

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zenith birch
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what does it mean if "f" is defined or continuous?

zenith birch
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for this graph

lone heartBOT
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@zenith birch Has your question been resolved?

tacit arch
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E.g. there's no y value at any of the holes

zenith birch
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i get that for f(x), but there are questions just asking for f

tacit arch
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But for x=1 f(1) is defined

zenith birch
tacit arch
zenith birch
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oh i see

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all wording

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thanks

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.close

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spice sierra
#

How would I find the figure size number for a shape with 219 green colored tiles?

spice sierra
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this comes from the book algebra 1 open up high school mathematics.

fathom kite
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can u send pic

spice sierra
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no... but it wouldn't help much.

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it's only words.

fathom kite
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hmm, question doesnt make sense

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is there more context?

spice sierra
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it says, "Turn one of your expressions into an equation that can be used to find the figure size number for a shape with 219 green colored tiles."

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the expressions i have used to solve the prior problems are,

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3 by 5

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(14 - 3) + 7

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(3 by 1) + 2 by 3

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and ( 8 + 4 ) + 3

fathom kite
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whats the figure size number

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im different language so i dont know what that

spice sierra
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i don't know either, i'm guessing the size of the figure????

fathom kite
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whats the chapter about

spice sierra
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Unit 1 : Sequences

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Lesson 1 : Checkerboard Borders

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this basically

fathom kite
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are you at #7

spice sierra
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yes

fathom kite
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hmm i dont understand sorry

spice sierra
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it's alright

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i dont either

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.close

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rapid kite
lone heartBOT
rapid kite
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I think this is B but I’m not sure

serene junco
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Is there any particular reason you picked B?

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B is right, I'm just curious what you thought

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@rapid kite

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cunning trout
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I want help with part b)

lone heartBOT
cunning trout
#

My diagram

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wide marlin
#

Im not sure how im not factoring this right im trying to factor x^2-5x-6 do I just find something that mutiplys to -6 but adds to -5

alpine sable
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that is what you do

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but there is more steps of course

wide marlin
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ok wait let me do it

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rq

wide marlin
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nvm

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-3 and -2

alpine sable
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that doesn't multiply to -6

wide marlin
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so is my answer (x-3)(x-2)

alpine sable
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-3*-2=6

wide marlin
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oh

alpine sable
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red flags !!!

wide marlin
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then idk what does

alpine sable
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what about -6 and 1?

wide marlin
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oh shit

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im dumb

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so (x+1)(x-6)

tacit arch
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more generally, you should check all combinations of all positive and negative factors of the product. in this case:

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$\pm 1, \pm 2, \pm 3, \pm 6$

ocean sealBOT
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riemann (eric tao for honorable)

tacit arch
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since those are the only factors of 6

alpine sable
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^this is a more structured way of doing it

wide marlin
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ok can you guys give me another example like this

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so I can try on my own

tacit arch
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you can quickly rule out a lot of cases because of the negative sign on -6 since you know (positive number) * (negative number) = (negative number)

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$x^2 -7x + 12$

ocean sealBOT
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riemann (eric tao for honorable)

alpine sable
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damn u thought of that quick

wide marlin
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ok let me do it

tepid drum
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You can do a way without trying all combinations

wide marlin
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im trying to do it and I cant find a combo

tacit arch
#

it's probably more important for chrome to get practice

tepid drum
#

Do you know the fact the a^2+2ab+b^2=(a+b)^2?

tepid drum
#

Oh ok then nvm

tacit arch
tepid drum
#

I wanted to tell him about completing square

tacit arch
wide marlin
alpine sable
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try them

tacit arch
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type out all the factors here

wide marlin
#

ok

alpine sable
#

which ones add to -7 and multiply to 12

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1am factoring go hard 💪

median oar
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Factoring quadratics essentially is down to practice

wide marlin
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I cannot find anything

median oar
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You just do it a lot until you can do it quickly by inspection

wide marlin
#

are u sure there is a answer

tacit arch
wide marlin
#

1 12
2 6
3 4
4 3
6 2

median oar
#

There is an answer

tacit arch
wide marlin
#

I dont see anything that adds to -7

median oar
wide marlin
#

even when I make them negative

tacit arch
#

so you just need to remember $\pm$

ocean sealBOT
#

riemann (eric tao for honorable)

median oar
#

Can you make 1 and 12 go to 7

wide marlin
alpine sable
#

it was a question

wide marlin
median oar
#

It’s a yes no question

wide marlin
alpine sable
tacit arch
#

and realize that the only way two numbers multiply two numbers to a positive number are
(positive number) * (positive number) = (positive number)
(negative number) * (negative number) = (positive number)

median oar
wide marlin
tacit arch
ocean sealBOT
#

riemann (eric tao for honorable)

median oar
wide marlin
median oar
wide marlin
#

yea

alpine sable
#

what if they were both negative tho stareFlushed

median oar
#

So let’s work with this

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-3 and -4 multiply to 12 yeah?

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What do they add to

wide marlin
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oh yea

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they add to -7 and mutiply to -12

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I forgot two negative make negative

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I thought it wouldnt mutiply to -12

median oar
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Yep

wide marlin
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ok give me another one that I can try

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I got it down this time

alpine sable
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multiplies to 12

wide marlin
#

yea I forgot when you mutiply two negatives with eachother its positive

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I thought it wa snegative

alpine sable
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yeah facts 💯

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I got a problem

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$x^2-9x+20$

ocean sealBOT
#

jswatj

alpine sable
#

factor that

wide marlin
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ok bet

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(x-4)(x-5)

alpine sable
#

#

now try

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$x^2+7x+6$

ocean sealBOT
#

jswatj

wide marlin
#

hold up

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my mom need me

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alr im back

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(x+1)(x+6)

median oar
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At this point you just google quadratics to factorise

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Then just do tons of them

wide marlin
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ok

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I get it now thanks

median oar
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Then you’ll be fast at doing it

alpine sable
median oar
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Just ask if you get stuck

alpine sable
#

🙏

wide marlin
#

alr

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preciate

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.close

lone heartBOT
#
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tacit arch
#

i had to step away. nice job you two @alpine sable and @median oar

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#

@olive pagoda Has your question been resolved?

olive pagoda
#

<@&286206848099549185>

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past bloom
lone heartBOT
past bloom
#

what does this asterisk mean

raw fractal
# past bloom

It literally says there in the picture. It is $x_k + h/2$. In other words, it's the midpoint of that subinterval.

ocean sealBOT
#

PhenomPlasma

past bloom
#

i mean

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cuz i saw those * in many other functions too

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do they have any significant meaning

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like in complex numbers, they are complex conjugate

raw fractal
#

You might also see $\bar{z}$ instead of $z^*$.

ocean sealBOT
#

PhenomPlasma

past bloom
raw fractal
#

Though in this case for what looks to be calculus, $x_k^*$ in general is just some point in the kth subinterval.

ocean sealBOT
#

PhenomPlasma

raw fractal
#

In defining the integral, it doesn't actually matter which point you use, so it's just used to denote some point.

past bloom
#

ok can

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thanks

#

.close

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ornate condor
#

can someone give me an example of how a proof would look like of why D(0,1) is a star domain

vale wigeon
#

what is D(0,1)?

ornate condor
#

open disc of radius 1 centred about 0

vale wigeon
#

in R^2?

ornate condor
#

oh in C

vale wigeon
#

same difference...

ornate condor
#

i think its the same for R2? but meh

vale wigeon
#

ok so it's the set {|z| < 1}

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do you know the definition of a star domain?

ornate condor
#

yea

vale wigeon
#

state it

ornate condor
#

a domain S is a star domain if there exists a lookout point c in S such that when u pick any point z in S, the line from c to z lies in S

vale wigeon
#

ok

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good

ornate condor
#

so i was thinking that the line from c to z can be represented as
ct+z(1-t), t in [0,1]

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so as long as i show that ct+z(1-t) lies in S for any t, im good?

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is that how i should approach it?

vale wigeon
#

i think you are overthinking it tbh

ornate condor
#

how would i go about showing it

vale wigeon
#

i mean like, if you don't just want to say "all nonempty convex sets are star domains"

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you can pick the most obvious point in your disk as your lookout point

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0

ornate condor
#

er i mean i could but i feel thats just saying the question is trivial

vale wigeon
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it is

ornate condor
#

ok yea i guess

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ill just do that

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but for understanding can u go on

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so then we pick any other point z, and as z lies in S, |z|<1 thus it lies in S

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then how about if we want to show that all points in S are lookout points

vale wigeon
#

the segment from 0 to z consists of points of the form tz for t ∈ [0,1]

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|tz| = |t| |z| < 1

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therefore tz lies in the disk just as z does

ornate condor
#

oh yea i forgot about the fact weve to show the whole line

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ok then how about

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ct+z(1-t), t in [0,1]

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what if weve to show all points are lookout points

vale wigeon
#

i.e. "what if we have to show that our set is actually convex"

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is that what youre talking about

ornate condor
#

also lines are both concave and convex right

vale wigeon
#

no, unless you have a definition of concave that isn't "not convex"

ornate condor
vale wigeon
#

yes???

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i mean, it literally follows from the definition of a convex set

ornate condor
#

ok wow

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i dont even have to do work

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my answer is literally from definitions

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cool

vale wigeon
#

a set is convex if for every two points within the set the line segment joining them is also contained in the set

ornate condor
#

ok but back to my example

#

how would i show D(0,1) is a convex set then

ornate condor
vale wigeon
#

sure

ornate condor
#

|ct+z(1-t)| <= |ct+c(1-t)|, wlog let |c| >|z|
= |c| <1

#

i guess?

#

that works?

vale wigeon
#

idts

#

how does the first inequality happen?

ornate condor
#

hm why not

#

well

#

oh

#

|c| >=|z|

#

would this work?

vale wigeon
#

well sure you could let that wlog but it does not explain the inequality

ornate condor
#

wait which

vale wigeon
#

$|ct + z(1-t)| \overset?\leq |ct + c(1-t)|$

ocean sealBOT
ornate condor
#

hm good point

#

|ct+z(1-t)| <= |ct|+|z(1-t)|
<= |ct|+|c(1-t)|, wlog let |c| >|z|
= |c| <1

vale wigeon
#

nyeh

#

works now but is inelegant

ornate condor
#

whats the elegant way

#

would this be a convex set aka trivally a star domain

#

a semicircle

#

well the boundary of

#

cuz theres a straight line bit

vale wigeon
ornate condor
#

its obv its gonna be a star domain but it doesnt exactly fufil the convex def?

#

oh

#

nvm

#

but im not told its a convex set

#

so ive to show it

vale wigeon
#

it is convex as drawn

ornate condor
#

whats the elegant way to show this

vale wigeon
#

$|tc + (1-t)z| \leq t |c| + (1-t) |z| \leq \max(|c|, |z|)$

ocean sealBOT
ornate condor
#

wow neat

#

thanks

#

.close

lone heartBOT
#
Channel closed

Closed by @ornate condor

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
#

$span{(0,1,1),(1,1,0)}=span{(1,2,1),(-1,1,2)}$

ocean sealBOT
#

metnal

alpine sable
#

to prove this do i just put these both in matrices and reduce to check if their rank is equal?

ornate condor
#

uve to show that and that one is the linear combinations of the other

alpine sable
#

that one span is the linear combination of the other?

ornate condor
#

yea

alpine sable
#

uh ok but a span isnt a vector

#

like im not sure what u mean

#

how do i show that a span is a linear combination of another

ornate condor
#

like

alpine sable
#

im only used to vectors being linear combinations of others

ornate condor
#

that u can get any of the vectors in one of the spans by using only spans of the other

#

eg span(v1,v2) = span(u1,u2)

#

assuming both are rank 2,

#

u1 = a1v1+b1v2
u2=a2v1+b2v2

#

where a1,b1,a2,b2 are constants

alpine sable
#

do i have to also show it in reverse?

#

that not only the first is a linear combination of the second

#

buit also the second is of the first?

ornate condor
#

yea as in u can represent v in terms of u, yes

alpine sable
#

i see

#

but how do i do that

ornate condor
#

but yea, uve to check rank first

#

um

alpine sable
#

show that u can be represented in terms of v

ornate condor
#

in this case u can say

#

well just give an example

#

find some numbers that would make it work

alpine sable
#

but is there an actual method

ornate condor
#

(0,1,1) + (1,1,0) = (1,2,1)

alpine sable
#

other than random guessing numbers

ornate condor
#

er

#

algebra

alpine sable
#

i see but

ornate condor
#

let first constant be alpha, second be beta then solve

alpine sable
#

u1 = a1v1+b1v2

#

isnt this like 1 equation with 2 vars

ornate condor
#

well u1 is a vector

#

its kinda like 3 equations with 2 vars

alpine sable
#

ohhhh

#

alright tysm!

ornate condor
#

as u are given 3d vectors

#

np

alpine sable
#

.close

lone heartBOT
#
Channel closed

Closed by @coarse crescent

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.

tired drum
lone heartBOT
vital brook
#

x^2

#

exponent rules

tired drum
#

How?

#

What are exponent rules?

vital brook
tired drum
#

I see what abt this?

alpine sable
#

hint: 2=5/2.5

ornate condor
#

log5(2.5) = log5(5/2) = log5(5)+log(1/2) = 1-log(2)

tired drum
#

Ohhhh i seee

#

Yeah I got thanks

ornate condor
#

ay ay

lone heartBOT
#

@tired drum Has your question been resolved?

lone heartBOT
#
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.

slow sable
#

Can someone help me with some basic algebra

oak perch
#

Don’t ask to ask

slow sable
#

The area of a square is given by the expression area 16x to the power of 16 y to the power of 4. Write a expression for the length of one side

#

Pl

oak perch
#

Can’t read it, I will leave

slow sable
#

How am I supposed to make it so u can read it lol

oak perch
#

You are given the area of a square, you want to find length of one side. The area of this square is?

#

That’s the part I can’t read

slow sable
#

16x to the power of 16 y to the power of 4

oak perch
#

Still can’t read it

slow sable
#

How do I make it so u can lol

oak perch
#

Can you use symbols

slow sable
#

Where

oak perch
#

$a^{b}$

ocean sealBOT
#

Cogwheels of the mind

oak perch
#

Like this

slow sable
#

How I do that

#

Sorry first time using this

oak perch
#

Multiplication is $\times$

slow sable
#

What’s to the power

ocean sealBOT
#

Cogwheels of the mind

slow sable
#

How I get that

#

$a^{b}$

ocean sealBOT
#

Nflballstar

slow sable
#

$16x^{16}y^{4}

#

Like that?

oak perch
#

$16x^{16}y^{4}$

ocean sealBOT
#

Cogwheels of the mind

oak perch
#

Square root of this?

slow sable
#

Yea that

#

No like hold up

oak perch
#

$4x^{8}y^{2}$

ocean sealBOT
#

Cogwheels of the mind

slow sable
#

Find one side given that that’s the area

oak perch
#

Yeah, answered

slow sable
#

How u do that

#

Teach me

oak perch
#

I better leave, you can search for area of square meanwhile

slow sable
#

?

#

Just tell me how u got the answer

#

Lol

#

No the 16x thing at the start that was the area

#

I’m trying to find a side of a square given that

#

@oak perch

oak perch
#

Just type it down correctly

slow sable
#

Wym?

oak perch
slow sable
#

Yes

#

U got the answer right but how did u get that

#

What did u do

oak perch
#

Sorry really need to leave

slow sable
#

But

#

How

#

??????

#

Y

#

Aren’t u supposed to show me how to do it

#

This is stupid

#

Someone help me

#

Please

#

HELP ME

#

This server sucks man

#

@alpine sable

#

Help

#

Plz

alpine sable
#

don't ping me

slow sable
#

I need help tho

#

No one helping

alpine sable
#

it's not my job to help you

slow sable
#

Who’s is it then

alpine sable
#

why should i care if you understand something or not

slow sable
#

Because it’s the whole point of the server?

#

To help people with math lol

worn fox
#

No one here is paid to help you

slow sable
#

So I should just leave this server bc no one is gonna help

alpine sable
#

yes

slow sable
#

Thanks guys for the help

#

Much appreciated

#

Losers

#

Smh

worn fox
#

Don't be so entitled

slow sable
#

I asked for help like anyone else

#

Y isn’t anyone helping

#

I see people in other chats getting help

#

Y not me

#

Huh

worn fox
worn fox
slow sable
#

I asked 10 times

#

For help

#

And no one did

#

So I am entitled to say that

worn fox
#

So because people didn't respond in the timeframe you wanted, no one is helping you?

slow sable
#

Yes

#

I asked

#

No one replied

#

I asked like 15 mins ago

worn fox
#

You need to learn to be patient then

slow sable
#

?

#

Dude people are getting the answers in their own channels

#

Y not me

#

I saw someone who asked a question and right away someone helped

worn fox
#

Because helpers come and go? They check a channel and help if they can, there's no reason anyone gets help over anyone else

slow sable
#

Well it seems like they help everyone else

#

I’ve been waiting

#

For 10 mins

#

“ people come and go”

slender marten
#

Have you ever thought no one wants to do boring problems?

tepid drum
#

@slow sable bro I didn't get an answer for more than 4 hrs and still didn't get an answer till now to my question where 2 channels closed by themselves and I closed the third one so you waiting for 10 mins isnt the end of the world

worn fox
#

Why are you complaining about the wait time of free help?

tepid drum
#

So be patient

slow sable
#

Bc I have a test coming up and I need to learn it kinda quickly so I can move on to the harder questions so I understand and pass

worn fox
#

Okay, that's not our problem is it?

slow sable
#

Shut up man

#

Screw this server

#

No help

worn fox
#

You ruined your own chances of getting help

slender marten
#

👋

slow sable
#

This server offers so much help

tepid drum
worn fox
#

If you hadn't have complained your question would have been answered by now

slow sable
#

Hell na

slender marten
tepid drum
#

Exactly

slow sable
#

It’s a basic algebra question

slender marten
#

I often boycott certain people so I leave them to struggle.

tepid drum
#

Bro I'll help but don't complain that much

slender marten
#

True.

tepid drum
#

The worst thing that can happen is that you turn off the phone and wait till another time and try to figure out the answer by your self

#

Now can u post the question

#

Or what

#

@slow sable Do u need help or no

#

If yes then post the question

slow sable
#

Yes but y’all prolly gonna flame me for the question

#

It’s rlly simple

#

But idk how to do it

tepid drum
#

Bro no one is going to do anything

#

Everyone starts from the same place

slow sable
#

$16x^{16}y^{4}$

Given this is the area of a square find a side of the square

ocean sealBOT
#

Nflballstar

slow sable
#

I know the answer

#

I just don’t know how to do it

tepid drum
#

Ok then first of all

#

What's the area of the square

slow sable
#

The inside

tepid drum
#

Wdym by the inside

slow sable
#

Like the inside. Like uh

tepid drum
#

Oh I understand what you mean

slow sable
#

The square meters or such of the inside of a object

tepid drum
#

But how can you get the area of a square

slow sable
#

Idk

#

Ok

#

Base

#

Times

#

Height

tepid drum
#

Now let's think about it

#

Now what are the properties of the sides of the square

slow sable
#

Properties.

#

?

tepid drum
#

So are they equal or no

slow sable
#

Yes

#

So when u get the answer it means that al sides are gonna be that answer

tepid drum
#

Wait

slow sable
#

I get that I just don’t know how to work it out

tepid drum
#

The area of the square is its side ^2

slow sable
#

^2 what’s that

tepid drum
#

So let A be the area of the square and s be its side

slow sable
#

Ok

tepid drum
#

Then A=s^2

#

Do you know powers?

slow sable
#

Yes

tepid drum
#

^2 is power 2

slow sable
#

Oh yup

tepid drum
#

So s raised to the power of 2

slow sable
#

Yup

tepid drum
#

Ok now do you know radical ?

slow sable
#

No

tepid drum
#

Square root?

slow sable
#

Yes

tepid drum
#

Ok

#

Now What can U do to s^2 for it to become s

slow sable
#

Huh

#

What

#

Do

#

U

#

Mean

tepid drum
#

What is square root

slow sable
#

Risk

#

Idk

tepid drum
#

You said that you know

slow sable
#

Yea I know it but

#

It’s the

#

V

#

Looking thing

#

I forgot what it does tho

tepid drum
slow sable
#

Yes

tepid drum
#

Ok what does it do

slow sable
#

Idk I haven’t done a question with those for a long time

#

Can u tell me plz

tepid drum
#

It eliminates the^2

slow sable
#

How

tepid drum
#

Like division eliminates multiplication

#

So for example 2×4/2 = 4 we eliminate 2 and 2 in the numerator and denominator

#

rad(2×2) = rad(2^2)=2

#

Here the rad or radical eliminates the ^2

slow sable
#

I don’t get it. The question doesn’t look anything like what it doesn’t at school

tepid drum
#

Now did you understand what I said above ?

slow sable
#

No

#

Because I don’t recognise the signs u use

tepid drum
#

rad is square root

slow sable
#

Ok and

tepid drum
#

√(2×2)=√(2^2)=2

#

That's an example to show how square root works

slow sable
#

Shouldn’t it =4

tepid drum
#

2^2 means 2×2 which 4

slow sable
#

Yes

tepid drum
#

But I am showing you that it is the inverse of ^2

#

That's why I didn't write it as 4

slow sable
#

The heck is inverse

tepid drum
#

Bro don't mind the word inverse

#

It is what eliminates ^2

#

It is the opposite of ^2

#

Like × is the opposite of ÷

#

And + is the opposite of -

slow sable
#

Yes

tepid drum
#

The word opposite isnt the accurate word but let's use it for now

#

So did u understand the idea of square root now?

slow sable
#

Not rlly man

#

I’m stupid

tepid drum
#

No you are not

#

Just focus

#

Now look

#

You have s^2

#

Which is the area

slow sable
#

Ok

tepid drum
#

You need to find the value of s

slow sable
#

So the square root of 64 is 8

tepid drum
#

Exactly

slow sable
#

The reason because 8x8 is 64

tepid drum
#

That's it

slow sable
#

So the square root is a number timesed by itself

#

Equal the number being square rooted

#

Ok but how does that have to do with the area of a circle

tepid drum
#

Where is the circle ?

#

You mean Square?

slow sable
#

Yea

#

Sorry

tepid drum
#

Np you don't have to say sorry

#

I'll tell you what

slow sable
#

Yes…

tepid drum
#

Now s = √(s^2) Is that right

slow sable
#

What does s mean again

tepid drum
#

The side of the square

alpine sable
#

Mod s

#

Modulus of s

tepid drum
#

?

slow sable
#

So ur saying the side of the square is equal to the square root of the equation given for the area of the square?

alpine sable
#

Root of x^2 isn't equal to x it is equal to modulus of x or absolute value of x

tepid drum
#

But he prob isnt interested in the negative value rn I was just telling him what's square root bc he forgot it so he prob didnt take that the square root is +- not just +

alpine sable
#

Ok nvm continiue one

tepid drum
#

That's the point that I wanted you to reach

slow sable
#

So for any question you are given the area of a square for can I just put the education for the area of the square into a square root and it gives me a side

tepid drum
#

Yes if you have the area of a square take its square root and this will be the value of the side of the square

slow sable
#

So put the equation of the area into a square root and it give the answe

tepid drum
#

Now the area of this square in our case is 16x^16y^4

#

What's the square root of 16x^16y^4?

slow sable
#

Uh

#

But there is x and y on calculator

#

Or does that not matter

#

O wait I see

tepid drum
#

Now square root can be distributed in multiplication and division

#

So √(16x^16y^4) = √(16) *√(x^16) *√(y^4)

slow sable
#

It says error

tepid drum
#
  • means times
#

Do it without calculator

#

Calculator is bad for the brain most of the time

#

XD

slow sable
#

It says 1.099511620x10 to the power of 12

#

I don’t think that’s right

tepid drum
#

Wrong

slow sable
#

I did what u said tho

tepid drum
#

Not on calc

slow sable
#

Put 16^16 x 16^4 into a square root

tepid drum
#

But on your own

tepid drum
slow sable
#

That’s what it sounded like to me sorry

tepid drum
slow sable
#

What does that mean

tepid drum
#

It means that √(a×b) = √(a)×√(b)

slow sable
#

Wait so that just mean 16 x4 into a square root

#

Y did u put all the brackets

#

It confuses me

tepid drum
#

Bc each of the terms is having square root separately

#

They are not under one square root

slow sable
#

?

#

I don’t get it

tepid drum
#

You will get it now

#

Follow me step by step

#

What's the square root of 16

slow sable
#

4

tepid drum
#

Ok what's the square root of x^16

slow sable
#

What’s that.

tepid drum
#

Ok so now x^16=(x^8)^2

slow sable
#

X isn’t in the calculator

tepid drum
#

Power of a power

slow sable
#

This is confusing me

#

^

#

What’s that mean

tepid drum
#

Power

slow sable
#

The little symbol

tepid drum
#

Raised to the power of...

slow sable
tepid drum
#

So x^16 Is x raised to the power of 16

#

No that's x to the power 8 to the power 2

slow sable
#

Y put x instead of 16 there

tepid drum
#

Where

slow sable
#

X^16

#

That’s x to the power of 16

tepid drum
#

x^16 is x to the power 16

#

Yes

slow sable
#

Yes

#

But x isn’t on a calculator

tepid drum
#

Here you can't use calculator

#

Don't depend on a calculator

slow sable
#

But how do I work it out in my head

tepid drum
#

You need to practice

slow sable
#

Clearly

#

I suck at maths y do I even try

#

I never understand algebra

tepid drum
#

So x to the power of 16 is x to the power of 8 to the power of 2 to you agree on that ?

alpine sable
slow sable
#

Yes

tepid drum
#

Bro when you have these thoughts you will never become better at math

slow sable
#

Yes

tepid drum
#

Ok so what's the √((x^8))^2)

slow sable
#

Sec

#

It’s 8

serene harness
#

If doubling time is 5 hours, what is tripling time

#

My thought was solve for t but can’t with 3Po=Poe^3t

slow sable
#

What the hell

tepid drum
serene harness
#

It isn’t 7.5

#

It’s 7.95

tepid drum
#

Wait a sec lemme finish with nlf first

serene harness
#

7.925

tepid drum
#

So nlf 8 is wrong

#

Consider x^8 to be z

#

So let z=x^8

#

What's the square root of z^2

serene harness
#

z

slow sable
#

I don’t get it

tepid drum
#

Now introduce a variable let the work easier

#

Let z=x^8

#

This will let you get the right answer

lilac nest
tepid drum
#

So you have (x^8)^2 right

slow sable
#

So that is 8 to the power of 2

tepid drum
#

If you let z=x^8 then you will have z^2

slow sable
#

What’s z

#

And is that z to the power of 2?

tepid drum
#

You can name x^8 with a letter to not get confused

slow sable
#

So that is x to the power of 8 rights.

tepid drum
#

Look what nvm lets approach it from another way

tepid drum
#

Look ill give you an easier way

#

You want to get the square root of x^16 right

slow sable
#

That x to the power of 16 right and yes

tepid drum
#

Yes it is

#

Ok So the square root is opposite to power 2 am I right

slow sable
#

What’s the opposite of that?

#

Idk lol

tepid drum
#

Didn't we agree that square root eliminates power 2 ?

slow sable
#

So r u saying what do I replace x with on x to the power of 16

#

Yes but where did u get the power of 2 from?

#

Man I suck at learning online. I need to be in person with like a book

tepid drum
#

You need to know which number should you divide 16 by to get (x^something)^2 To take square root and eliminate ^2

#

So if you divide 16 by 8 you get 2 right

slow sable
#

Yes

#

And

#

What does that have to do with the original question

tepid drum
#

Ok this will give you (x^8)^2

#

The square root of that is x^8

#

Bc square root eliminates ^2

#

And (x^8)^2 =x^16

#

So like that you will have gotten the square root of 16 and square root of x^16 So far

#

You still need to get the square root of y^4

#

Now which number can you divide 4 by to get (y^something )^2 ?

#

So 4/what=2?

slow sable
#

2?

tepid drum
#

Yes

slow sable
#

So the answer is 2?

tepid drum
#

So square root of y^4 Is y^2

#

Do you get the idea now

slow sable
#

Yes

#

Kinda

#

So now what

tepid drum
#

Ok now you have the square root of the three terms

#

Right?

slow sable
#

Maybe

tepid drum
#

The square root of 16 is 4 the square root of x^16 is x^8 and the square root of y^4 Is y^2

alpine sable
#

u guys sill here

slow sable
#

Yes

#

Yes I’m stupid ok

tepid drum
#

Now what does 16x^16y^4 mean

#

Don't say that you are stupid its ok to take your time to learn what you should learn

slow sable
#

16 to the power of 16 to the power of 4..??.

tepid drum
#

It means that the terms are multiplied by each other right

slow sable
#

Yes..

tepid drum
#

So 16x^16y^4 = 16×x^16×y^4

slow sable
#

Yes..

tepid drum
#

Ok what you should do is just multiply the square roots of each of these three by each other to get the value of the side of the square

#

So the value of the side will be s = 4x^8y^2

#

Did you get the idea

slow sable
#

So like 3 then the square root thing then like 16

tepid drum
#

Wdym

slow sable
#

Like u put that into calculator

tepid drum
#

No

#

You can't put and expression with variables on a calculator

#

You got the square root of 16 which is 4

slow sable
#

So how do I do it?

#

Yes

tepid drum
#

Multiply it by the square root of x^16 which is x^8 to get 4x^8

slow sable
#

Why do u keep putting x INFRONT of the 16 if I can’t put it in the calculator

tepid drum
#

And then multiply that by the square root of y^4 which is y^2 To get 4x^8y^2

slow sable
#

I don’t get it

tepid drum
#

Bc it's multiplied by it

#

Ok

slow sable
#

Ah I give up man it’s taken me 1 hour and I still can pt get it

#

I’m so stupid

tepid drum
#

16*x =??

slow sable
#

I mayas we’ll drop out

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This is dumb I suck man

#

I feel so stupid right now

tepid drum
#
  • means times
#

So 16*x=?

slow sable
#

?

tepid drum
#

16x

slow sable
#

What with 16x

tepid drum
#

You can keep it as 16*x

#

Is this better for you

slow sable
#

Yes

tepid drum
#

Ok so after you multiply the square roots together you will get 4* x^8* y^2

slow sable
#

Man what the heck

#

How do I know what to multiply

#

The square roots by

tepid drum
#

You just got the square roots of each term separately

#

Just multiply them

#

By each other

slow sable
#

Ya so u times the number individually by the square roots?

tepid drum
#

So square root of 16 times square root of x^16 times square root of y^4

slow sable
#

I can’t put x into calculator

#

Tho

#

So I can’t do that

tepid drum
#

Bro work it by yourself

#

No need for calculator

slow sable
#

Man I give up I’m too stupid for school, math

tepid drum
#

Just practice more and I will be easy

slow sable
#

I may aswell drop out of it

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I wanna die right now

tepid drum
#

Brooo

slow sable
#

I feel bad for wasting ur time

tepid drum
#

It's a matter of practice

slow sable
#

And I still don’t get anSIMPLE FLIPPING ALGEBRA QUASTION

tepid drum
#

You aren't but I am feeling bad for you bc you aren't confidenttt

#

BE CONFIDENT

slow sable
#

I can’t because I’m dumb

tepid drum
#

TRUST YOURSELF

slow sable
#

Idk what I’m doing

#

I don’t

#

Because I know how dumb I am

tepid drum
#

If you keep thinking like that then you want achieve anything

#

What you are saying now is dumb

slow sable
#

But I’ve spent ages on a simple aglgebra question and I still don’t get it

tepid drum
#

Bc the person who doesn't fail in many tries can't succeed

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Thomas Edison failed in 99 tries to do a lamp and then it worked

slow sable
#

I’m just wasting ur time

tepid drum
#

You shouldn't give up

slow sable
#

Yea I should

tepid drum
#

I meant you shouldn't man

#

It was a trash keyboard mistake

slow sable
#

😫

tepid drum
#

Pls type .close if you are done to close the channel

lone heartBOT
#

@slow sable Has your question been resolved?

ornate condor
#

redemption arc

lone heartBOT
#
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#
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half epoch
#

Mh, v \cdot l = 0 also if |v| = |l| = 0

#

Anyway, I’d use the definition of the dot product involving cos for both directions of this

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But yes, yours is only in one direction for now