im just trying to see if the bot can make the message look better, not like x^2
#help-38
slow hawk
ionic pendant
you can use the fact that the tangent line to a circle passes through a point on the circle and is perpendicular to the radius
slow hawk
https://discord.com/channels/268882317391429632/488106178094694400/5561736351952...
cheers
slow hawk
you can use the fact that the tangent line to a circle passes through a point on...
How do I use this to my advantage? I know it hits it at an exact 90 degree angle but the way my professor taught it I havent used that before, maybe I can send what he wrote. One sec
I haven't been able to make sense of this
ionic pendant
this is a problem that can be solved in a variety of ways (calculus, trigonometry, geometry + algebra), so you should solve it using the method you are currently learning
slow hawk
this is a problem that can be solved in a variety of ways (calculus, trigonometr...
Im sorry for being daft like this but what is the method my professor uses here?
ionic pendant
it seems that you start with a basic equation of a line passing through the point, in this case, $y = x - 4$ passes through $(4,0)$. then, we introduce a scaling factor variable $R$, then $y = R(x-4)$ will change the slope of that line while still making it pass through $(4,0)$. you then have a system of equations with the equation of the tangent line $y = R(x-4)$ and the equation of the circle $x^2 + y^2 = 8$
solid kilnBOT
cloud
ionic pendant
and you want to find values of $R$ that make that have only 1 solution (in other words, the line and circle only intersect once, which means the line is tangent)
solid kilnBOT
cloud
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slow hawk
Right, i see! He needs to use R to define the slope. Then he substitutes y for r(x-4). But how does he get from that to x^2(1 + R^2) - 8R^2x + 16R^2 - 8 = 0?
the steps after dont make any sense to me. I dont know why
ionic pendant
that comes from expanding $(R(x-4))^2$
solid kilnBOT
cloud
ionic pendant
then grouping terms with a common factor of $x^2$ and moving all terms to one side (so that 0 is on the other side)
solid kilnBOT
cloud
slow hawk
Ooooh I understand now. The steps after it too, just b^2 - 4ac, but I specifically struggled with the step from
x^2 + R^2(x^2 - 8x + 16) - 8 = 0
to
x^2(1 + R^2) - 8R^2x + 16R^2 - 8 = 0
But it's just distributing R^2 and then combining the terms like you said.
Let me recheck to see if I really get it
Yeah that should be good, thanks for ur help cloud 
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wispy karma
Hi
river willow
i mean it's just changing b_n to a_n
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white talon
Spent 25 valuable minutes on this 😍
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Spent 25 valuable minutes on this 😍
gaunt wave
You can solve for the lower part of the upper left angle. Hint the left triangle is an isosceles triangle
Then from there I think the upper left angle is 90° in total.
gaunt wave
You can solve for the lower part of the upper left angle. Hint the left triangle...
With this you can solve for the remainin angle of the isosceles triangle
Then c + that angle + x + 12 = 180, you should be able to get x from the upper left angle. After you all the angles for the upper right triangle add them together to see if it equals 180
white talon
ohhh ok
gaunt wave
Hmmm I don't think the upper left angle is 90°, let me know whay you get so we can compare and go from there
round mango
Try finding these and use the angle sum property of a quadrilateral
For a less messier equation, find this and use exterior angle property
white talon
ok that sounds slightly easier thank you !!
lowkey need to redraw this problem because I scribbled all over it ofncofnkd
sweet atlas
Arna has x kr. Halla needs 15 kr. to have two times more.
a) how much does Halla have?
sweet atlas
Is it 15 * 2 * x?
<@&286206848099549185>
<@&286206848099549185>
<@&268886789983436800> no one’s helping me😔
what can I do?
sweet atlas
I wanna finish my homework as fast as possible
sweet atlas
Wait patiently
Can u help
stoic iron
No sorry
zinc ginkgo
I wanna finish my homework as fast as possible
So does everyone else
zinc ginkgo
this is easy
Do it yourself then
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raw magnet
Hi super easy question but want to make sure I’m doing the strong induction properly
raw magnet
Basically I have to prove for every n >= 8, exists a and b in Z+ such that n = 3a + 5b
And like I just proved from 8-10 it’s true
Then n= k+1 = (k-2)+3
And then I would just simplify it
(3a+5b)+3 = 3(a+1) + 5b
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raw magnet
<@&286206848099549185>
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loud wasp
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plain slate
yea
opal coral
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opal coral
i cant seem to calculate the answer?
can someone help?
answer is given but i dont know how to get to that
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@opal coral Has your question been resolved?
opal coral
Yes sure!
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delicate lance
how did it go from log 6^2 to log2?
dull temple
log 6^2
2 log 6
2 (log 3 + log 2)
upbeat jungle
how do i go about this
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how do i go about this
ionic pendant
find which line each expression corresponds to
the shaded region is where each inequality holds at the same time. so find which side of each line is satisfied (e.g. in the first line, does ≥ mean above or below it?)
alternatively, you can pick a "test point" inside the shaded region and check if it satisfies each inequality
versed talon
can i pls get help understanding how to do 21
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can i pls get help understanding how to do 21
versed talon
versed talon
ye
i realized that part
it was my test
i rushed it last minute
its 6 ik
but even if it was 6
how would i get to the answer from there
and is 10 even the right answer
restive basin
if f was 6 then the equation you use to find y would be 10+6+y=25
restive basin
yes it's 9
restive basin
6th grade is hard for me
lmao, you figured it out
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stoic sail
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stoic sail
somebody pls help
ik how to get midpoint and all that stuff
ik the formula
but i keep getting it wrong
i think i keep miscalculating
knotty locust
!show
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Show your work, and if possible, explain where you are stuck.
stoic sail
i understand how to do the problem but my calculations are all over the place rn
knotty locust
What would you like help with then?
I suggest you just clean up your calculations and restart more neatly
stoic sail
i'll try doing it one more time 😭
i'll come back if i get it wrong
restive basin
i'll try doing it one more time 😭
i'll come back if i get it wrong
check ur dms
stoic sail
i got it wrong again :')
i got the slope as -1/2
midpoint is (3,-3)
bisector i calculated as: y=2x-9
restive basin
how did you get that slope?
stoic sail
y2-y1/x2-x1
restive basin
so plug the numbers in
stoic sail
so i did: 1+7/-4-10
did i miscalculate....
restive basin
yes
restive basin
-4/7?
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lofty phoenix
a)𝑉 = 𝑊1 ⨁ 𝑊2
b)𝑉 = 𝑊1 + 𝑊2
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a)𝑉 = 𝑊1 ⨁ 𝑊2
b)𝑉 = 𝑊1 + 𝑊2
lofty phoenix
What is the difference in these sign?
Linear sum of direct sum?
Let me upload the original question
Q.7 If V is a vector space of n x n matrices of real entries over the field R and 𝑾𝟏 and 𝑾𝟐 are the subspaces of symmetric andskew-symmetric matrice respectively, then which one is correct?
a)𝑉 = 𝑊1 ⨁ 𝑊2
b)𝑉 = 𝑊1 + 𝑊2
c) 𝑊1 ∩ 𝑊2 = {0}
d)All of above
I can imagine zero matrix will be mutual in it so Direct sum failed A and C is wrong because we can get zero matrix in common and D wrong
So B can be right no?
vernal briar
Direct sum is when each vector in the sum can be represented uniquely by a sum of a vector in W_1 and a vector in W_2.
The difference is the uniqueness
lofty phoenix
Yes right
vernal briar
(b) is true if every matrix in V can be represented as a sum of a symmetric matrix and a skew-symmetric matrix
Is that true?
If (b) isn't true, then (a) for sure isn't.
If (b) is true, then (a) is true if that sum is also unique
lofty phoenix
We can represent any matrix with sum of symmetric and skew
vernal briar
Ok, so you understand why that means (b) is true, right?
It follows directly from the definition of W_1 + W_2
lofty phoenix
Ok, so you understand why that means (b) is true, right?
Yes
B is linear sum
And we have zero matrix which means C is true and A also
So D
vernal briar
(c) doesn't just mean 0 is in W_1 + W_2
it's saying 0 is the ONLY vector in BOTH W_1 and W_2
Is that true?
If it is, and you are convinced (a) is true aswell, then the answer would be (d) yes
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lofty phoenix
Thanks
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lofty phoenix
The plane euation do/does not any vector sub space
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The plane euation do/does not any vector sub space
lofty phoenix
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wraith hinge
Hi
wraith hinge
Can someone help me with 4)?
So its intergrals with derivative i dont rly get it yet but it this is a good start right?
dull temple
that's correct (you should work on your handwriting though)
frozen plover
bighead integral
wraith hinge
this is homework right?
Yes
wraith hinge
that's correct (you should work on your handwriting though)
Idk why its rly readable and good but alr
dull temple
the tan in particular is hard to read
wraith hinge
try changing 1/cos^2(x) to sec^2(x)
I dont use sec yet idk what that is
wraith hinge
your work looks right
Do i need further steps or am i finished?
marsh forum
I would Think that's it, just write $\int sec^2 (x)$ as an intermediate step
solid kilnBOT
Why am. I here
wraith hinge
sec(x) = 1/cos(x)
Its 1/cos^2x = tanx for me
grim sparrow
wdym
wraith hinge
grim sparrow
what is D here? the derivative?
wraith hinge
And how will i go about 5)?
wraith hinge
what is D here? the derivative?
Yes
grim sparrow
And how will i go about 5)?
combine the exponents by using exponent laws
wraith hinge
It becomes x^4 right?
grim sparrow
yes, but that's not something that you should have to ask for confirmation about lol
wraith hinge
I forgot first week back to school after Christmas
grim sparrow
fair enough i suppose
wraith hinge
wraith hinge
Thats the final answer nothing more?
grim sparrow
yes
wraith hinge
wraith hinge
10)?
grim sparrow
convert the square roots to fractional exponents and simplify
wraith hinge
wraith hinge
convert the square roots to fractional exponents and simplify
10 becomes 1/x^-1/6 am pretty sure
wraith hinge
grim sparrow
if you want to see if you got the correct answer, just differentiate the result you get and see if you get the integrand
wraith hinge
if you want to see if you got the correct answer, just differentiate the result ...
But whats with the + c at the end?
And u think these questions are any harder?
grim sparrow
But whats with the + c at the end?
wdym
wraith hinge
wdym
U see the + c at the end of my answers right?
I am asking what it stand for and why u know
wraith hinge
.
grim sparrow
U see the + c at the end of my answers right?
the +C indicates that we can add any constant to the answer and still get a valid antiderivative
"C" is for "constant"
wraith hinge
Oh ye ye
wraith hinge
And for this page u think i have to use new formulas?
I only learned these formulas btw
wraith hinge
So do i encounter any other methods i need to use then these?
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wraith hinge
convert to metric system i dont speak american
odd oxide
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main drift
Definition of cyclic quadrilateral
The perpendicular bisectors will intersect at the circumcenter because the bisectors induce isosceles triangles
odd oxide
a quadrilateral which has all vertices on a circle
odd oxide
never heard of that
main drift
Yeah it’s not well known
odd oxide
damn it is
main drift
Try angle chasing with the varignon parallelogram
odd oxide
angle chasing?
wraith hinge
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wraith hinge
How can i start with this
unique minnow
Use the chain rule on (ln(g(x)))'
It'll make a g' pop out
Then go back and use to log rules on ln(g(x)) since it's a product inside
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pseudo coral
how would i do this
fair juniper
span is all linear combination of these vectors?
if yes, then you have to make it like this: a(2x+1)+b(x^2+1)+c(x^2+x+1)
and see what polynomials you can get
wet cloud
What is the domaine of f(x) and why?
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What is the domaine of f(x) and why?
wet cloud
Got confused since f(x) do not exist while x exists in [-1;+1].
Isn't supposed to be in 1 and 0 only?
<@&286206848099549185>
worn void
like the domain is for sure $$D \subseteq \mathbb C \backslash {-1,0,1}$$
trim gorge
But putting in -1 would make the right 0^0
worn void
But putting in -1 would make the right 0^0
yeah forgot that
solid kilnBOT
Homelama
worn void
but else it is a qestion of what the co-domain of f is
wet cloud
The exercise wanted Df and to study the continuete of f. (Prolongement)
But why -1 is not defined?
worn void
But why -1 is not defined?
you get 0^0
wet cloud
Alright.
trim gorge
Yeah that’s undefined
wet cloud
OHHH
I forgot that case fr.
But when I checked the graph, it seems that the undefined isn't just points
it is an range.
from -1 to 1, why?
worn void
from -1 to 1, why?
that depends of what the co-domain of f is
because if it is real you get a negative number to a fractional exponant which gives a complex number
wet cloud
that depends of what the co-domain of f is
There is no hint about it in the exercise tbh.
worn void
like do you know if $f:\mathbb R \to \mathbb R$?
solid kilnBOT
Homelama
wet cloud
**Homelama**
No, it is not even mentioned what is the codomain of f(x).
worn void
or is the generally any additional information
worn void
No, it is not even mentioned what is the codomain of f(x).
the co-domain is the set in which the function maps into
wet cloud
the co-domain is the set in which the function maps into
I know it is the image of f(x) but there is no hint as I mentioned.
What do I do in this kind of cases?
worn void
idk did you ever work with complex functions?
wet cloud
idk did you ever work with complex functions?
The exercise is related to continue of a function, I can't use complex concept.
worn void
ok so in the real numbers if you have a^b and a is negative and b is not a whole number it is not defined
thats why the intervall [-1,1] was excluded
wet cloud
ok so in the real numbers if you have a^b and a is negative and b is not a whole...
Because -1 keep switching based if b is odd or even?
worn void
no because if you have for example -1^(0.5) it isnt defined in the real numbers
wet cloud
but why does it work noramally in my calculator?
wet cloud
-1
wet cloud
exaclty....
solid kilnBOT
Homelama
opaque basin
I got 4 but I am not sure if thats right
trim joltBOT
I got 4 but I am not sure if thats right
worn void
I got 4 but I am not sure if thats right
it is not exactly 4
remote thistle
I got 4 but I am not sure if thats right
I get a close but not quite that answer using law of sines, did you round up?
swift totem
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wet ocean
because the supports meet in the center of the bridge, we can confirm that they divide it into two identical parts
12.5 ft each
sin(65)=12.5/x
we should get x with that
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wraith hinge
How many different letter arrangements can be made from the letters in the word
STATISTICS?
wraith hinge
Okay so i understand the common argument
with using permutations of indistinguishable objects
but i want to rationalise this using the idea here
I know both theorems yield the same result
but how would you "partition" this into r cells?
.close
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waxen fable
This might seem like a dumb question but how can I construct 2 externally tangent circles that are both internally tangent to a third larger one
waxen fable
I did it with a particular case where both intersection points represented the diameter of the larger circle but I am looking for a more general case
this is what I have so far
wraith hinge
what is a problem
waxen fable
i'm sorry?
verbal stream
Yeah the radius of the 3rd largest circle would be the sum of the radii of the 2 smaller circles
waxen fable
okay thanks
but where will i have to put the center exactly
i tried a bunch of different configurations and none of them actually gave me 2 tangent points with the smaller circles
except where all the centers are aligned but that's a special case
verbal stream
but where will i have to put the center exactly
hm if we say the coordinates of the 2 smaller circle centers are (x1, 0) and (x2, 0) then it'd be at ((x1+x2)/2, 0)
waxen fable
right but then the centers would just be aligned
if we take this example i found online it can be done without that
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waxen fable
<@&286206848099549185>
verbal stream
oh I see
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waxen fable
<@&286206848099549185>
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waxen fable
<@&286206848099549185>
ornate citrus
hhu
ornate citrus
<@&286206848099549185>
what can i do for you?
waxen fable
Hey!
waxen fable
this is what I have so far
Do you know if there is a way to construct a circle so that the two circles here would be internally tangent to it?
waxen fable
could you please tell me how?
ornate citrus
Five minutes.please
waxen fable
okay, please take your time
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ornate citrus
okay, please take your time
Hey Are you there?
waxen fable
Yup
ornate citrus
Sorry for being late.
waxen fable
It’s okay man
ornate citrus
I 'll send a answer picture after restarting . okay?
waxen fable
Yeah for sure
waxen fable
Omg thank you so much man!
This is really helpful
I appreciate it
Have a good rest of your day, thank you again!
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lament cloud
Am I correct in doing the calculation as (4!) * (4!-4) * (4!-4-4)?
lament cloud
Also subtracting 4 is removing the already used matchups in both directions
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lusty delta
Am I correct in doing the calculation as (4!) * (4!-4) * (4!-4-4)?
why are there 4! ways to schedule in 1 day?
shrewd ridge
@lament cloud it's not the answer i get
I would start by selecting the order of matchups for e.g. Lakers
right, 4! makes sense, you select the home team and everything, but there's no notion of one match happening earlier, so I assume you would divide by 2 at that point
lament cloud
My new answer is 3! * 2^6 = 384
somber spire
how do i do this
trim joltBOT
how do i do this
lethal anvil
what do the angles have to add up to in a triangle?
somber spire
180
lethal anvil
bingo
so what would the angle closet to B be?
(let's label it angle b)
a = 61
b = ?
c = 30
somber spire
89?
somber spire
we js started this so im a bit new
lethal anvil
no problem.
So law of sines is as follows:
somber spire
yes
lethal anvil
so you take the sine of the angle and then the opposite side and then do an equality
somber spire
ohh
solid kilnBOT
MellowDramaLlama
lethal anvil
now we just solve for x 🙂
somber spire
by cross multiplying ?
lethal anvil
bingo!
so we'll get that x = [8*sin(61)]/sin(89). Just make sure that your calculator is in degree mode
lethal anvil
what's the rounding to?
somber spire
6.99
lethal anvil
well be careful. Remember you use next number that's not included in the rounding
so really it's 6.9980234....
lethal anvil
oh there ya go
since 9 is in the 100th place we add one more to the 10th place
so it's 7.0
lethal anvil
yep that's it!
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mild scroll
Basically calculus i believe . idk how to do them since i missed that class and youtube or anything aint that helpful rn
mild scroll
i need to represent grafic that function
and at 2 i need to find the points of intersection of the functions graphics of the following coordonates
or something like that
i mean it's quite ebident how it works
but the problem is idk how to calculate
without an app
nvm i'll watch some yt videos
or something
that khan idk what site
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wraith hinge
<enumitem, tipa >
\textbf{Question:} Let $\m X{e^{j\omega}}$ be the Fourier transform of $\bm xn$. Derive expressions in terms of $\m X{e^{j\omega}}$ for the Fourier transforms of the following signals (Do not assume that $\bm xn$ is real)
\env{enumerate}{[a)]
\ii $\cm{\mathfrak{Re}}{\bm xn}$
\ii $\bm{x^\ast}{-n}$
\ii $\cm{\mathcal{E}\nu}{\bm xn}$
}
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lament arch
given the quadrant in standard position and a trig value of theta find exact values of indicated functions quadrant 3 sin -.5 sec theta
digital bison
sin(theta) = -.5?
lament arch
how do i find refrence angles of 120, -80, 450
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olive talon
I need help with hamilton circuits for a test I have a 20 and it is all due tomarrow so I need to finish this as fast as possible and move on to the next test this is my last test so im just more so looking for answers than how to do it
zinc ginkgo
I need help with hamilton circuits for a test I have a 20 and it is all due toma...
!noans
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I need help with hamilton circuits for a test I have a 20 and it is all due toma...
The purpose of this server is to help you learn, not to hand out answers. Do not ask someone to give you the answer directly.
@olive talon Has your question been resolved?
vagrant talon
Anyone who knows a bit of graph theory who can help me here?
vagrant talon
G is a graph whith its incidence matrix I.And Z is the column space of I.We have to show that for every Arborescence A the columns of I(of A) are a base of space Z
I have a few questions about how this question needs to be solved so if u know sth about graphs let me know
also G is a simple directed graph with no "holes"
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vagrant talon
<@&286206848099549185>
foggy fractal
What
vagrant talon
How are there multiple arborescences?
if the graph is always connected wouldnt there be only one arborescence? And if there are multiple the incidence matrix space of the arborescence would have a much smaller dimension so how can it be a base of Z?
cunning cairn
Aha I think I can help you, let me read it thoroughly
cunning cairn
if the graph is always connected wouldnt there be only one arborescence? And if ...
how is aborescence defined in your course ?
vagrant talon
okay so there are several in my graph lets say n.
vagrant talon
G is a graph whith its incidence matrix I.And Z is the column space of I.We have...
how can this work with the basis?
the incidence matrix for the arborescence cant be a basis because the span of it will never reach the span of the column space Z or am i on the wrong path because in my head the statement doesnt make sense rn :/
vagrant talon
np^^
or maybe they mean all arborescences spans combined build a basis of Z? That would make more sense to me
cunning cairn
ok so I think thats not what the question is targeting
or wait
I need time Im sorry
I lack basic skill in linear algebra so I am slow with imagining vectorspaces
vagrant talon
no problem 🙂
cunning cairn
so this is how I understand exercise (a)
where G is the graph and A is the arborescence
and I think the idea is to build a connection between the edges that were deleted to get the arborescnece and linear dependency
but I am way too bad at linear algebra to come up with a better proof idea right now
@vagrant talon
vagrant talon
i have no idea either rn :7 i think i gotta take the next few days to think about it and maybe ask again another time but thank u very much for your help ! ^^
cunning cairn
np, Im sorry I couldnt help more. Good luck !
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fierce shuttle
I need help checking if I'm on the right track I'm trying to find the scale factor and I'm wondering if this is the correct way to set up the equation it would also be helpful if you could check if I did <d correctly
fierce shuttle
<@&286206848099549185>
This is my new work
I'm getting 1/3 and 3/4 for my sf so I'm doing something wrong
<@&286206848099549185>
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fair herald
I just started finding the volumes of shapes around the x axis like this and im kinda confused
fair herald
were suppsed to use integrals
red loom
$V=\pi\int_{a}^{b}R(x)^2\dd x$
solid kilnBOT
PajamaMamaLlama
red loom
Do you know how to calculate the area of this region?
fair herald
kinda
not really
i get whats going on logically but im struggling to compute it mathmatically
if that makes any sense
sorry i need to go
.close
crystal siren
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crystal siren
im just not understanding how this set of equations results in the graph
i understand the zeros part. but not the rest
wraith hinge
what does it mean for the derivative to be negative?
zinc ginkgo
$f(x) = 3^x, g(x) = \log_2(x), h(x) = f(x)^{g(x)}$
solid kilnBOT
riemann
zinc ginkgo
use $a^b = e^{b \log(a)}$
solid kilnBOT
riemann
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Available help channel!
cold kindle
Pls help
cold kindle
<@&286206848099549185>
gaunt wave
Just curious before I help to kind of get a gist of what you know, did you guess on your answer or did you figure it out and want to know if it is correct?
cold kindle
Just curious before I help to kind of get a gist of what you know, did you guess...
no I tried solving this one
but got wrong
gaunt wave
Show me your process
cold kindle
2/5 + 1/3 + 2
gaunt wave
not exactly
cold kindle
thats what I did
cold kindle
oh
gaunt wave
and then the like "remaining amount" of the fraction is Ruben's work
gaunt wave
Yes
gaunt wave
keep it in fractions
cold kindle
4/15
gaunt wave
yes, and it took Ruben 2hrs to complete 4/15ths of the entire project, how much for 1/15
cold kindle
yes, and it took Ruben 2hrs to complete 4/15ths of the entire project, how much ...
1/15 is for 1 hour?
gaunt wave
not quite what is 2/4?
gaunt wave
yes, so 1/15ths of the entire project takes 0.5 hrs so how long does the entire project take?
cold kindle
2 hours?
gaunt wave
no, that's for Ruben's work time, take 0.5 and multiply it by 15
cold kindle
no, that's for Ruben's work time, take 0.5 and multiply it by 15
where you get 15 from?
gaunt wave
the denominator
1/15 + 1/15.... = 15/15
if 1/15 worth of work is 0.5 hrs
0.5 + 0.5 + 0.5...
gaunt wave
So to figure this out we had to calculate the amount of time it took for 1 fraction of the work (1/15) and we figured that out is 0.5 hrs, so if you have 15 units of work, you also have 15 units of time
cold kindle
So to figure this out we had to calculate the amount of time it took for 1 fract...
oh
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@cold kindle Has your question been resolved?
cold kindle
Did you get an answer?
no
cold kindle
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astral tangle
stoic gale
use CRT
astral tangle
No no
I have solved it by CRT but i want to save some more time by options
Can we not solved it by options?
stoic gale
sure but why
stoic gale
thats irrelevant
astral tangle
sure but why
Because it's an exam questions
We don't need to write or prove crt there 😆
We just need to save some time
Methods aren't important
stoic gale
uh use it and choose the appropriate options
astral tangle
Like how?
stoic gale
use crt what else
stoic gale
ok
astral tangle
Can we not go through options?
worldly wing
if you really wish not to use CRT, just check each option and see if it satisfies the conditions
astral tangle
Yes. How to check but?
stoic gale
yeah
astral tangle
420/10 =10 ?
stoic gale
no
astral tangle
Should I divide options by 42?
stoic gale
like in option a
it could be written as
420t+170 and t belongs to set of integers
so if t = 0
limpid tulip
ok bot
stoic gale
try to transpose 170 in original equation
astral tangle
170t+420?
stoic gale
uh
limpid tulip
im not seen that equation before
stoic gale
15k+8
stoic gale
X=8 mod15 will be
8k+15?
31 is not 8 congurent moduli 15
astral tangle
Ohh
stoic gale
@astral tangle
stoic gale
cheers
astral tangle
I am thinking about it actually
😀😀
Let's take options now
Only d works
As we take 173-3 =170 is divisible by 10
stoic gale
good
astral tangle
.close
lost glen
the area of a rectangle can be respresnted by the trinomial (2x^2)-4x+2. If the length is twice as long as the width, write the expressions that respresnet the length and width in factored form
ebon dagger
i don't know if this is the answer
but when you factor the trinomial
you get 2(x-1)(x-1)
2(x-1)= length
and (x-1)= width
length is twice the width
bright quarry
factor the 2 first
u get x^2-2x+1
and factoring that you get (x-1)^2
or 2(x-1)(x-1)
the 2 coming from the 2 we factored out initially
lost glen
and factoring that you get (x-1)^2
how u get this
i did this and got like 100 on it but then forogr
bright quarry
(x-a)^2=x^2-2ax+a^2
or think of two numbers that multiply to 1
but add to negative two
-1,-1
x-1,x-1
are your factors
lost glen
are your factors
ok
lost glen
are your factors
what do I do next
x-1 is a side rightttt
so 2x-2 is the other side?
wut
I dont get
bright quarry
yes
it tells u the length is twice the width
so if we have 2(x-1)(x-1)
we can say this is 2(x-1) * (x-1)
where x-1=W
so 2(x-1)=2W=L
bright quarry
yes
lost glen
forgor that too
bright quarry
a^2-b^2
and how this factors
it’s
(a-b)(a+b)
in this case we can let a=2x+y
and let b=(2x-y)
lost glen
kk
bright quarry
using this formula we get
((2x+y)-(2x-y))((2x+y)+(2x-y))
2x on the left cancels
y- -y=2y
and 2x+2x=4x
y-y=0
so we get (2y)(4x)
=8xy
are you following?
lost glen
so its just 0?
lost glen
kk
bright quarry
does this make sense
lost glen
yes
bright quarry
youre subtracting the entire(2x-y)
so essentially just change the sign
u get -2x+y
lost glen
I got it thanks
bright quarry
yup
lost glen
im a little bit slow since I havent slept in like 2 days
bright quarry
you must be tyler durden
lost glen
who is tyler duden
bright quarry
you don’t get the reference??
lost glen
xd
lost glen
I dont watch that
bright quarry
fight club
the movie
ok don’t worry about it
you should watch it tho
great movie
any other questions
lost glen
I hardly have the time to watch a movie
school is prison
literally 1/3 of your life is spent suffering in school
i hate it
bright quarry
preach
lost glen
then the next few is spent working
bright quarry
you should have some time on your hands tho
lost glen
who makes more students suffer
bright quarry
NO LIKE FR
lost glen
and the loop goes on
bright quarry
you would love fight club
bright quarry
i’m telling you
lost glen
if I was going to make a society where im the only one profitting
bright quarry
it’s like 2 dollars to watch it maybe
lost glen
this is the exact shit i would pull
lost glen
it’s like 2 dollars to watch it maybe
I have good movie pirate site
bright quarry
i used to use umm what’s it called
i forgot something with a b
but they shut down
lost glen
@bright quarry
alr so
even if u spent 10 years
making 400k a year
youll still barely have 3 million
bright quarry
yes 33% is 133k
bright quarry
expenses add up
lost glen
its cursed
bright quarry
it’s been rigged from the start my friend
lost glen
how is 400k a year not enoygh
bright quarry
system is rigged
lost glen
They make you spent 1/3 of your life in school too
make you spend the other 2/3 working for barely any income
bright quarry
how is 400k a year not enoygh
you can live off of nothing 🤷🏼♂️
lost glen
zamn
bright quarry
don’t use electricity
lost glen
If it came down to it I can make a decent amount doing illegal stuff
bright quarry
bathe in a lake
lost glen
zamn
bright quarry
well
lost glen
thats not good
bright quarry
the people that make money like serious money have done illegal stuff to make it
atleast a good amount
of them
bright quarry
of course
lost glen
my friends dad has decen tmoney
bright quarry
well
bright quarry
i don’t mean like 1 million
lost glen
or luck through stock, crypto or husing
bright quarry
i mean like billions
lost glen
i mean like billions
oh for sure
they most likely do illegal stuffs
dont know why they need that much
bright quarry
or luck through stock, crypto or husing
yea i mean i’m just going to get some stem job and work like a slave for 15-20 years investing nearly all of my income
and then hopefully retire as soon as possible
lost glen
and then hopefully retire as soon as possible
bruhhh
bright quarry
dont know why they need that much
they don’t know either
lost glen
im going to stream or do whatever I can to make money
in my free time
imnot going to pull some gay shit
I fucking hate being taken advantage of
and the goverment taking 33% of my income
sounds like taken advantage of
im going to tax evade
im going to put it all into crypto
bitcoin is stable enough
bright quarry
yea i used to be one of those not need college guys and anti institution guys who said i’d make it big in real estate
but as time goes on
i realize that entrepreneurship is all luck mostly
you can work as hard as you possibly can
and stay broke
lost glen
and stay broke
eh
I kind of know how to make money
and I kind of dont
like I know how to make shit online
more then my friends
bright quarry
and all of those youtube videos on how to get rich r pyramid schemes
lost glen
and all of those youtube videos on how to get rich r pyramid schemes
ik
when I was 12 I made like 2k online
bright quarry
dropshippong bro!
lost glen
dropshippong bro!
that never works
bright quarry
when I was 12 I made like 2k online
how
bright quarry
that never works
yup it only works if you buy someone’s course🤣
bright quarry
is that crypto
lost glen
nah