#help-13
1 messages · Page 72 of 1
First, when negating an implication a=>b, its "a and not b"
So when we have a sequence converging, is it for all e, there is an n such that n>N => |un-l|<e
Or is it for all e, theres an N, such that n>N, |un-l|<e
Idk the statements seem equivalent to me
But their negations will differ
In the first one i get there's an e, for all N, n>N and un-l>e
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Hi
what's troubling you
Z is the number of bad chips in the tech's sample
how many chips does the tech pick in total?
2?
No im not
it says in the problem, at the beginning:
A technician has to choose three chips at random...
right
so if you knew nothing else about the problem,
what would you say the range of values for "number of bad chips in the sample" would be?
this is not something you have to think too hard about or even do any calculations.
4 chips in which two are defective yet he has to choose three randomly.
{W, W, NW}?
<@&286206848099549185>
@peak ether you're overthinking it.
massively so
when all you know about the tech's selection is that it consists of 3 chips, how many bad ones could he possibly have picked up?
anywhere between 0 and 3 bad chips, of course.
does this specific point make sense to you?
we cannot continue if you do not confirm or deny that this point makes sense to you.
I think i really am
when all you know about the tech's selection is that it consists of 3 chips, how many bad ones could he possibly have picked up?
anywhere between 0 and 3 chips, of course.
does this make sense to you?
like really forget anything else and don't try to think of it until i tell you to. simple shit.
if the tech picks up 3 chips the number of bad ones is between 0 and 3
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Can someone pls double check to see if this is right
@balmy shard Has your question been resolved?
<@&286206848099549185>
Hello anyone pls?
Ive been waiting for ages
<@&286206848099549185>
I've been waiting for ages for her to text me a goodbye
how did you conclude that the radius of the cone is 10 cm
I amde the radius 10
so you're allowed to pick?
We just need dimensions that fit
wasn't obvious from the question how you were supposed to find a unique answer
but yes if you just need that
So we pick the radius/height and then figure out the other
well
So its all good?
yes, but are you aware that you could've done all of the checking yourself
there are calculators on the internet
np
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which part of the question are you confused about?
literally awful question though
these should all be called "sample mean" "sample variance" "sample standard deviation"
or estimated mean, estimated variance, estimated standard deviation
people get so confused because of it
those distinctions werent ever made to me until my third year of university 💀
yeah it's actually horrifying how they expect you to calculate the variance of the sample mean
when you're literally told the mean is just add all of the numbers and divide by something
I dont get any of it as its in a weird format
do you mean the notation?
yeah
this, specifically?
Both I havent rly studied this topic at all
Σ means 'to sum up'
say we have xi where i=1,2,3,4,5 (any one of those values)
Σxi means x1+x2+x3+x4+x5
How do I know what to divide it by tho for the mean
here you are told you have 5 data observations, x1, x2, x3, x4, x5
well with the definitions you are familiar with
thanks lol
mean = [SUM of everything]/number of things
so yea
Σxi would just be that top part
'the sum' of each squared data observations is something you should see in Variance and Standard Deviation, too
no worries, it happens
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What are directed lengths? Context:
I was studying Menelaus' Theorem which can be found here https://en.wikipedia.org/wiki/Menelaus's_theorem.
I noticed they use directed lengths which specifies that points $E,D,F$(in reference to...
I'd never heard of them, seem to just make sure you label/draw things correctly
Or rather that it doesn't matter what labels you use
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Someone pls help, idk how I’m getting it wrong
What will be AC and B in this case ?
i would do complete the square, that is always nice
CTS is a waste
😦
😅
If you do AC you can re write it using the factors, so 10x^2 - factor 1 - factor 2 + 4 then continue from there
Or you can do CTS
Yes
It's 0.5 and 0.8
Or does that not matter
Not 5 and 8
They multiply to give 40
Where did 40 come from is what I’m confused about
Multiply A and C
Ohhh
If it’s in quadratic form
?
I forgot the formula, what is it again
hello
Oh
Factor it so the terms add to b
( -b+-v/b2 - 4ac ) / 2a
Reply was w.r.t the image shared above by the OP
Second grade equation bro its so easy
I mean what else would you divide by
x(10x-13) + 4 = 0
is NOT in the form ab = 0 where a = 10x-13 and b = x+4
you can't apply zero product property like this
It won't be 40 btw
Yes as Ramonov pointed out ,please understand when certain operations are valid
8 x 5 is 40
Oh, so writing it like that is wrong ? How should I write it
writing x(10x-13) + 4 = 0 itself is fine, (it just doesn't really help you here)
the conclusion you reached from that is wrong
That's not how multiplication of roots work
We are supposed to write the equation such that the coefficient of x^2 is in the correct form
Only then can we use the method
what?
Idk I thought If I divide one thing I have to deivide eveyrbtung
who said anything about multiplication of roots
Not you Ramonov, I am replying to the method suggested by Meep
Still don’t get what you’re saying
the method they're referring to seems fine
the ac method for factorising non-monic quadratics
For the first question why do i only divide 5a
Like why does only 5a change
Why not a-2
divide by 5 not 5a
its just general clean up and simplification of the equation
you don't need to if you don't want to
Ok, what’s the other way?
Also where or how did a change to x
apply zero product property directly
Or did the coefficient change
Thats a multiplication sign
Oh
I don't know if someone solved it below or not
Thank you
5a(a-2) = 0
is in the form pq = 0
applying zero product property directly to taht
5a = 0 or a-2 = 0
Ohh
5a = 0 leads to a = 0
I understand now
you can also first divide both sides by 5 to simplify the equation to
a(a-2) = 0
and applying zpp there leads to the same end result
Ok thank you
It's fine Meep, was looking at the wrong picture
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just for good measure im gonna leave the completed square here @orchid oriole
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Thank you
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we know that the resistance of the whole plate is 3 ohm
why ammeter reading is not 3/9 instead of 3/4.5
wait, in the picture they are connected parallel, not in series or am i wrong lol
i think they mean parallel, no?
idk what do u think
in your task, they are in parallel i would say
but the task says they are in series
Oh I see if but parallel ammeter reading is what, how do you calculate it
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@long mauve
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How do I find x?
!status
What step are you on?
1. I don't know where to begin
2. I have begun but got stuck midway
3. I got an answer but I'm told it's wrong
4. I got an answer and would like my work checked
5. I have a question about someone else's worked solution
6. None of the above
@zealous tapir Has your question been resolved?
1
@zealous tapir Has your question been resolved?
@zealous tapir Use this identity: cos(a+b) = cosacosb + sinasinb
,, cos(a+b) = cosacosb + sinasinb
RaphaelZZZ
Once you simplify using this , you will be closer to getting x
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how do i continue?
Do it graphically
Graph can only help in the no. Of solutions..
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$$tg({2x + π})$$
my solution is:
$$\frac{1}{cos^{2}(2x + π)} * 2$$
sla-ppy
wolfram is telling me i done messed up
i believe there is a common rule where you are usually supposed to switch most tg() into sin()/cos()
[get a new channel btw as this one will close and may get hidden]
appreciate it
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I need to prove for all real numbers n, if n is greater than 3, then $n^{2}>9$
I let $n=3+k$, such that $n^{2}=(3+k)^{2}$
Matt.Rey
Ur qn is incomplete
my bad lol
Matt.Rey
induction doesnt work on the reals
that's literally where I was going
I'm not doing induction
I was going to get there and I showed my work like $k(k+6)+94$, but that would be fine to show since the +9 is there anyways
Matt.Rey
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I'm having trouble finding my b variable here
This is integration with partial fractions
The problem is the thing on the top left
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Anyone here good with computers
I know its not maths but i cant find anywhere to get tech help
This is for maths - I suggest trying a different server.
you didnt even ask a proper question
how are people supposed to help you if they dont even know if they can help you because you didnt say anything specific
@normal thorn Has your question been resolved?
My computer is on but there isnt any response from the keyboard and mouse or monitors
for that type of question this really is the wrong server
something something turn off and on again
plug everything in and out again
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how can i determine wether a given vector a is a scalar multiple of a given vector b in R^N?
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I know we have to use the
Cauchy criterion to begin this problem
it's what comes after that i'm not sure
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$a_1 + a_2 + \cdots + a_n \ge na_n$
please request a new nickname
why is it >= na_n?
shouldn't it be epsilon not na_n
i had written down that cauchy's convergence criterion yields for every epsilon >0 there exists N, such that a_n+ a_n+1 + a_n+p < epsilon
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Does anyone have any advice on how to solve this? I get what its asking but I don't have any idea how I would find fk. I dont really understand math with factorials
determine what C_1 is
that's not C_1, that's the term from mclaurin series
Is C_1 not a term in the mclaurin series?
the only things you know about C_j are that C_0 = x and that further C's can be obtained by using the recursive formula
But we are also told that the recursive formula can compute the maclaurin series
if you know what coefficients f_k to put in, sure
but you said that you have a problem with that
I dont understand what you mean
can you compute C_1 using the recursive formula?
well you figured out what f_0 is equal to
what if you repeat the same process for C_2
and that's not the reasoning you should be approaching it with, you're trying to choose f_k such that the sum matches that of a mclaurin, not the other way around
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help pls i dont know where to start
what's the increment method?
oh interesting
always thought of this as just using the definition of the derivative
yeaaa
okk
Did you get there yet?
yes
Okay what did you get so far?
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hi - if you had to do r = 2cos4theta, can you multiply the 4 by theta?
wait that doesnt make sense sorry
i have to graph points on polar coordinates by taking angles not on the unit circle like 16 degrees or 27 degrees and plugging them into the equation to find r so i can get a point (r, theta)
so if I had to do r = 2cos4theta where theta is 16 degrees, would it be r = 2cos(64 degrees) or r = 2cos(4(16 degrees)) ?
2cos 64 deg and 2cos 4(16) deg is the same you know
it evaluated differently when i plugged it into the calculator
can you take a pic of the calculator
no worries lol
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i appreciate the help re: stating the obvious
lol nw
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what would be the contradiction assuming $\alpha^2 > 2$?
KN
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How do I go about solving this?
cos(x) = sin(pi/2 - x)
sin(x) = cos(pi/2 - x)
cos(pi/2 - x) = 0.707
arccos(0.707) = 0.785549163
pi/2 - x = 0.785549163
x = 0.785549163
so do cos(0.786)
Sweet thank you
feel a little weird about my sol. though, wouldnt mind being double checked
Alright, not sure if I should round it or not
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@uncut veldt
!15m
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how to do this quadratic graph?
@near trout is this calculus or like an algebra class
the teacher introduced a new topic to us but didnt explain it. he just gave the worksheet right away.
so i dont know- most likely algebra
what class is this for though?
10
i have
oh
derivative function?
so its a calculus class ?
dy/dx?
yeah
find the derivative of f(x) and plug in 0.5
that will be the gradient of the tangent line
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need help proving this
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just need help on understanding 1/7 of the GST inclusive price
this question is basically asking which one i should rather take to get a better deal of the shoes. so either take 1/7 of the GST inclusive price or refund the GST which at this moment would be 158.50 x 0.85= 134.725
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hello
i had like 20 questions in statistics to solve and i did solve all except 4 questions, can you guys help me out with answer for the remaining 4, the due is in 15 minutes
The relationship between two data series, with 38 data points per series, is investigated. Calculated correlation coefficients are Rs = 0.87 and R= 0.82.
Which of the following question statements is/are correct?
There is a monotonic relationship between the data series.
When one variable increases, the other variable can be expected to increase.
There is a linear relationship between the data series.
There is a causal relationship between the data series.
There is a statistical relationship between the data series.
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Nature of the series defined by $a_{n+1}=1-e^{-(a_n)}$
With an >0
dabble
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PLEASe HELP
<@&286206848099549185>
expand it
!15m
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show your equation
coefs of x: 8 + p
coefs of x^2: 2p + 1
8 + p = 2 (2p + 1)
solve
thats it
how do you do this
divide to (y-3)
you know column division?
no
hey are you sure?
see
3xy-9x+4y-12
3x(y-3)+4(y-3)
(y-3)(3x+4)
you can use long divison too
not me you
try yourself first
factorisation is already done
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for part (ii), i wrote that due to y = 1 being a line of symmetry for C1 and C2, the only way to have one intersection point is for the point to be at the left vertex of the ellipse. i can solve for k (k = 6), but i then i tried to approach it differently by setting up a quadratic equation and setting discriminant = 0, but i cant seem to get the same answer.
Is the discriminant approach not possible in this question? If so, why not?
discriminant approach should work, maybe some calculation mistake?
well, tried it myself, but it doesn't seem to work lol
Is there a reason why it shouldn’t?
I can't think of any reason to say so
did you get the same equation as i did
oh oops yeah the last equation should be -1 not +1
I mean, I got, 36k^4 + 4(1296 + k^2)(1296k^2) = 0
but ultimately the discriminant is still never 0
which simply implies that there are no real solutions
apart from k = 0
Is the discriminant approach impossible?
that's what I am trying to think, that if it's really not possible, then why not
@shell beacon Has your question been resolved?
@shell beacon Has your question been resolved?
@shell beacon Has your question been resolved?
@shell beacon Has your question been resolved?
I know it's related to extraneous roots, I just am not sure why
gimme a sec
ye it should be just about how (-x)^2 = x^2 aka extraneous root shenanigans
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#chill
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Hello guys my camera is dookie so I'll send pictures instead written on an app
i guess it's in degrees
I've tried changing tan and cot to their formule which is cos/sin and sin/cos and then work it out by canceling etc but I can get nowhere near 1
And yes the identity is true
I was hoping someone could help me from here on
Working on it
did you try things like
sin(90°-a)=cos(a)
Have you tried using these?
I can't use those here cuz my math teacher will ask me to prove these formulas and she'll count them wrong
I'm pretty sure you can't do this without these formulas
Why not just learn the proofs?
And what do you mean, "she'll count them wrong"?
If I use the things you sent here she will ask me this on my paper "proof this" and I wont prove it cuz I don't know the proof of it so it will be counted as wrong
It's pure math like fractions etc but it's just that I'm stuck and can't do a thing
Yeah man, you cant solve it without those formulas
I'll send u the solution in a minute
Thanks a lot I'll try explaining it to hzr
@balmy raft Has your question been resolved?
Someone is working on it
Hmmm
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2 independent quality tests are applied to a product, the probability of the project passing the first successfully is 0.3, the probability that a product doesnt pass any quality test is 0.1, given that a product has passed the first test what is the probability that it has passed both tests
A - passes first check - P(A)=0.3\
B - passes second check\
$P(A \cup B)=0.9$\
$P(A \cup B) = P(A)+P(B)-P(A \cap B) \implies P(A \cup B)=P(A)+P(B)-P(A)P(B)$\
$P(B \mid A)=P(B)$
metnal
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,rotate
Shouldn’t this one be linear combinations of (1, 2, 3) and (2, 2, 4)?
Since here we say the vector z is a linear combinations of its vectors x and y
But in here c1 c2 is just some real number, not a vector
(Well now that I think about it, R is a vector space so each element would be a vector, but I don’t think that’s the point here)
what's z
oh
wait what's your question
oh
yeah c(A) is the set of vectors that are linear combinations of the columns of A
Did I/lecturer write down the wrong thing
c is the column space yeah
So it should say C(A) is the set of vectors that are a linear combination of (1, 2, 3), (2, 2, 4)
is it the column space of the matrix A
like I'm just assuming that it is
then yes it is the set of all linear combinations of the columns of A
otherwise known as the span of the columns of A
or maybe you could call it Im(A) if you think about the associated linear transformation
I don’t know what Im(A) is
like the set of all vectors that Ax can produce
Anyway I either wrote down the wrong thing or the lecturer did
yeah
Would it be correct to say that the column space of matrix A, denoted as C(A) is the set of all possible linear combinations of the column vectors of A, and is a vector space
Do we know it’s a vector space or should I try and prove that to further my understanding
@buoyant latch Has your question been resolved?
it is most definitely a vector space
Is this a good start
Yeah that’s what it says on Wikipedia but I don’t know for certain that it is
Hmm is it for some or for any
And do I have to say that at least 1 of the c’s have to be non zero?
Oh true
Hmm I’m kinda stuck on showing the sum of 2 column spaces is another column space
Not sure how to get a ci out
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This chem but
What did you type in your calculator?
@misty tinsel Has your question been resolved?
670 is rounded to the nearest tens
Isn’t rounding to the nearest tenths
666.7
(Just to show)
@obsidian coral
Nearest whole number is just 667
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Let X be a topological space
Can the closure of $X\setminus{x}$ be X if no sequence in $X\setminus{x}$ can converge to x
Kitty
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How do i do this? i have no idea where to even start
keep up w the good work bud 👍
,rotate
how did you do Q3 in the first place?
that one is correct, and Q4 is similar
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I got that I need 27 steps to calculate the cube root correctly w/ bisection method but it doesn’t sound right. Can I have a second opinion?
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hi can someone help with the last part
@silent plover Has your question been resolved?
<@&286206848099549185>
[0,1]
if p and q are 90 degrees from each other r=1, if they are 0 degrees from each each other then r=0
yeah i did that but it says its wrong
hm
have you tried [-1,1]
ah
that should be correct, since you can get negative values
you should type ,close my dude
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how to i’(x) = ((4x+6)^4(2x-5)^2))’
$i(x) = (4x + 6)^4(2x - 5)^3$
NEONPerseus
If you're meant to differentiate this, use the product rule
i honestly don’t know how to arrive to the solution
$(uv)' = u'v + v'u$
NEONPerseus
4(4x+6)^3 X 3(2x-5)^2 ?
Not quite
They probably did some factoring maybe
4(4x + 6)^3(2x - 5)^3 + 3(2x - 5)^2(4x + 6)^4
You should have this
ok
but from this to 32(2x+3)^3(2x-5)^2(14x-11) I’m lost
shit makes no sense to me
@cinder bluff Has your question been resolved?
@cinder bluff Has your question been resolved?
@cinder bluff Has your question been resolved?
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can someone explain to my why the graph of -2^x looks like this?
isnt -2^2 = 4 not -4?
You have to out -2 in a bracket
(-2)^x
Like that
It drew the graph of y = - 2^x
Its actually kind of ungraphable as it will be undefined onn the real axis at infinitely many points between any two even powers
Is what I think kind of
Yeah
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by doing it manually i got the value to be 1102.5
but the formula given is giving me 36000
nvm im supposed to take r as 0.05 instead of 5
yes it is
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does the negation of a statement reverse its quantifier
like negation of a for all statement changes to there exists ...
Yes
would that also be a counterexample
"For all numbers something holds" gets turned to "there exists a number for which it doesn't hold"
And that number is then precisely a counterexample
If that's what you are asking
ok thanks
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I know how to solve that but i forgot one step
can you post an example of what you are doing/where you are stuck?
Wait let me make a problem
I dont have a problem yet but i need it for exam tomorrow
So i need to review
There i made a small problem
I just want to know on where to place / where the percentile located
Here i added the cf
Can you find the percentile of 23?
. Close
.close
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Ill just study my self
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how did he factorized it ?
u can do it with your calculator
or if your fractions is really good, use any method you want
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Closed due to the original message being deleted
probably by isoceles triangle property
whats that
it's a circle, so all the lengths from the centre to the side of the circle are the same lengths
when u join the edges, they form isoceles triangles
the 2 non-centre angles in the triangle are the same
using that, u can calculate the centre angle
the 2 triangles' centre angles are related, as when u add them up you get 180 degrees
do the reverse to get 2x
isoceles triangles' angles in this case are " 2 side angles + 1 centre angle = 180 degrees"
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if u know the centre angles, u can solve for both side angles
Please don't occupy multiple help channels.
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math help in polygons uve all those sides that r basically equal to each other like a pentagon shape having five sides so how do i know or i can prove that all sides are equal to each other?
can you help me understand with an image of a shape that how are those sides actually equal is i dont get?
What
You need to state your problem clearer
Are you asking how to prove a polygon is regular?
yes that
how do one proves that the polygons all sides are equal to each other or like angels thing
what is sas and cpctc
"Side-angle-side" and "corresponding parts of congruent triangles are congruent"
But like
I need to see the full problem
Send a photo
it has said the pentagon has five sides and all those sides are equal to each other as in a polygon
so how do one knows that they are equal in a polygon shape?
how are five sides equal
If you're given that it's a regular polygon then by definition the five sides are congruent
But
If you were to take all the radii of the polygon
They should all sector the polygon into 5 congruent isosceles triangle whose vertex angle is 360/5
@crimson sedge Has your question been resolved?
thanks so much @cosmic steppe
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can u find the gradient of the given line first?
it mseems like 5
im not sure
how do we do that
for a line y=mx+c, the gradient/slope is always m
y = (3+5x)/2
Yes, so the slope is 5/2
Well there's a nicer way of doing it
what about the 3
I can show you a little trick
yes please
For the linear equation $Ax + By = C$, the perpendicular gradient is $\frac BA$
Umbraleviathan
what about the C?
Don't care
The constant just controls the intercepts and shifts the line while keeping the slope same
sounds unreasonable but i like it
C is constant?
I mean the constant term without any x or y degrees in it
Well yeah. The constant just shifts the line up or down but has nothing to do with slope
the inverse of a line will have slope perpendicular to the initial line, hence why this works
so its like solving for x=my+c
should I understand this, or i should just remember the equation up there and use it
Another thing I'd like to add, product of slopes of two perpendicular lines is always -1
?
well i dont understand the process of thinking to solve the equation it self ;-;
Let's say i have two perpendicular lines with slopes M1 and M2, then M1 times M2 is always -1
Comes handy
to make sure, perpendicular lines is the line that intercept with each other right?
gradient of both line times each other always -1
Perpendicular lines are those lines that which intersect at right angles
Yep
If the lines are perpendicular
oh, so does the -1 only works with perpendicular lines or any lines that intercept with each other at any angles
oh oh sorry my bad
Only with perpendicular
It's converse is also true
If product of gradients of two lines is -1, then they are perpendicular
(As fractions)
oh wait, the question is asking me to find the gradient of the other (opposite) lines of the equation right?
which so gradient A times gradient B is always -1
so why i cannot just do -1/5
Why -1/5?
i thought the equation is the y=mx+b?
Yes, but there's a 2 in your equation with that y
Need to get rid of that first
No
The 2
Isn't there in the mx+c form
you need to divide it
Both sides by 2
The form is y=MX+c, not 2y=MX+c
but the it would be (5x+3)/2
?
whats C in the y=mx+c again?
i think i forgot
and is this the way to find the gradient of the another line right?
;-;
The y intercept
but y interccept is mx+c isnt it?
i rememebr the M is gradient
What do you understand by the y intercept?
the point where the line pass the Y axis
Yes so logically shouldn't it the point (0,c), where c is the value of y at x=0?
So the y intercept is c
sorry can you expand that? im not sure did i understand it correctly
whats 0,c
0 and c
y=mx+b
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(Q.25) Had this question for an exam, is the answer 72m? (7200 cm)
Depends, in a MCQ you would tick all the opinions which means 72m/7200cm
In a subjective manner, then yes, 72m would be better