#help-36
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Show your work, and if possible, explain where you are stuck.
4 = (3(r2)^2)/(r1)^2
i don't think its ritght tho
also i need more equations
maybe there is another approach
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I know the semi perimeter is 21
i have this graph
x=CN=CP=21-13=8
y=BP=BM=21-14=7
AM=AN=s=21
and this
where N and M are the tangents of the excircle to the extensions of AB and AC
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can u guys explain how did this happened
the graph part
Hey !
I can try to help you
what do you mean by "how did this happen" ?
Do you mean "how did they find this result" ?
Ok. Do you have the exact formula for Price in function of QS by any chance, or just this graph ?
(don't hesitate to tag me)
@compact valve i only have the graph
do you not have a table ? Because this is supply, but the text mentions Demand, and a "Table 2.2" ?
ok this is weird
it really feels like there are formulas for QD before in this document
Hmm, it seems like there is a typo and the equation should be QS
oh, that could be too
in which case, now i have all the information i need haha
As you can see, the equation for QD is : $QD(P) = 965 + 0.1 \times P$ (assuming the first equation contains a typo)
except here, we want to use that function the other way around
knowing the price, what would be the demand
so it's like solving an equation
you substitude QD(P) with 1250
and solve for P
so you need to solve 1250 = 965 + 0.1x
does this help ?
@south slate Has your question been resolved?
you're welcome haha
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so like theres a minesweeper game with a gravity mode but idk how to solve this
not sure if this counts as math help but yea
That looks hard what have you tried
tbh i'm not even sure where to start
i tried putting it into an equation format thing
like 1.71 = power/(1.8^distance)
but i literally don't know where to go from there
instructions dont even make clear whether its every mine added together or the closest mine
Do you know if the gravity have infinite range?
no :')
the 0.04 shows they have too much range
probably whoever made this never thought to cut off the gravity so its a fair assumption
also 1.8^distance instead of distance^1.8 by itself is a rancid decision
man what is this
roblox minesweeper game..............
It also doesn’t say what the power of any particular mine is
yea
Roblox developers 
do you know about different powers of different mines
all i know is that the powers are probably randomized too
the time they finally use a different font from the preset is the time we can treat it as a regular game instead of a roblox one
if the powers are randomized, that sort of ruins the point
imagine if we had stricter instructions
like all the powers were the same
and you had to gauge how close the mines were by these specific numbers
itd be like holding a geiger counter around
It also doesn’t say if a number means there is or isn’t a mine there
maybe i should just go to the games discord server
is the games discord server going to have a better idea to doing this
Does 0.04 just mean there is a weak mine on that tile
i think the numbers on the board is what i'm supposed to use to find the distance
and minepower
idrk
How is distance measured?
dear god theres too many sides to this problem
Well you’ll have a hard time solving an ill-defined problem
can you try triggering a mine on a tile thats already "cleared" (has a number on it)?
i just died
was it on a number?
alr just making sure
You still have this problem
well frosst was asking otherwise and I was wondering maybe this minesweeper game was even more broken than usual
And this problem
theres also this: look at the 1.71 and the 1.74
theyre 0.03 off even though theyre on a corner tile which is guaranteed to have a mine
that 0.03 difference indicates its looking at more than one mine then
however its not very much of a difference since 1 / 1.8^distance is exponential
So perhaps we’re looking at taxicab distance
Still it’s hard to know if it doesn’t say
yea
power is likely just the number you usually see
My guess is that for the 1.74 mine there is a strong mine on the bottom right corner of the adjacent 7.01 tile
so if there were 2 mines in the neighborhood, the power would be 2 for that tile
Compared to a slightly weaker mine on the top left of the 6.87
theyre calling it power because, as usual for roblox games, anything that indicates intensity but cant immediately be described in clear terms is usually called "power"
so power is just a multiple for how many mines are in the immediate neighborhood, its a potential guess
however that doesnt explain the 5.57
since there can only be one mine next to it but 1 / 1.8 < 1
I hope you get an actual clear explanation in less than a thousand words
thanks though
np
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a group of people are running in a straight line one after another all in the same speed (V), the length of the line is L, towards them their coach is running at speed of U (U<V) when one of the people that are running reaches the coach he turns 180 degrees and keeps running in the same speed towards the other side, what would be the length of the straight line when the last runner will reach the coach
figure out the time until it stops
but as written there isnt enough information for a proper answer
e.g. distance between first and last runner
but cant we describe the length using vars
like lets say
coach(t) = Ut + L
lastrunner(t) = lt(t) = Vt + L # assuming he meets the coach at t=0 cause we dont care about the rest
firstrunner(t) = fr(t) = Vt # x=0 when t=0
we can do coach(t) = fr(t) to get the time when they meet and then plug that time in lr(t) to get the location of the last runner when the first one and the coach meets
then subtract no?
@nova jay Has your question been resolved?
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119
!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 was told that it's wrong.
4. I got an answer and would like my work checked.
5. I have a question about someone else's work/solution.
6. I have completed the problem and don't need help anymore. Thank you.
7. None of the above
Not getting
What did you try
Well
Feynmans popped up
Didnt get
By parts
Substitution
Definite properties
Oof feynmans looks hard to do here
Question from my mock
Nah this doesn't seem to be solvable
Did you apply kings rule
Nah even that don’t work here
😨😨
I put it in the calculator and it outputs an error lmaoo

I also think so
@stuck juniper Has your question been resolved?
Maybe we can use inequalities
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Is this correct? Its writing quad equation in s form and finding the values of a b c
I used foil method
where did you get x² from in the 2nd part of equation?
x • x
Its first, outer, inner, last
x-2x is -x not +x
so it shoudlve been x^2-x-10=0
Oh alr srry
THANKYOUU
I mostly get confused on integers
Can i get smth checked too?
The goal just being to find some a b and c to put into a quadratic equation, yeah?
Then yeah, they're all good
Ty
@tepid creek Has your question been resolved?
So 3/5?
Okie
Ty
Whats msg
DM or direct chat here
Ok
@tepid creek which grade you study?
9
Its easy but i get confused sometimes
You Playin' roblox ..
38Hours*
Oh
I was afk all night
And im afk rn
While studying math
We have a graded activity tomorrow and a test
Ahsisjisosjd
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Find all natural numbers $n$ that have a divisor $d$ such that $n^4 + d^3$ is divisible by $n^2d + 1$.
Randel_
Randel_
$n^2d + 1 = d^3k^2 + 1$
Randel_
$d^3k^2 + 1$ is not divisible by $d^3$
Randel_
Therefore, $d^3k^2 + 1$ must be divisible by $dk^4 + 1$
Randel_
What I am now trying to prove is that n needs to be a perfect square
aka d = k
I am stuck here
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This is the problem
more than that you need to invoke they're coprime
also isn't it the reverse?
dk^4 + 1 is divisible by d^3k^2+1
I'm assuming the divisor must also be positive?
Yes
if so, recall that divisors are smaller than the original number when they're not equal to it
Well, it isn't stated in the condition
But I do not think it affects the path of solution
that is true even if they are negative
mmh wait
yeah but then you can't manipulate inequalities very well
i.e when you square a negative number
it's complicated
here we have to remember that dk = n
so if d < 0, then so is k
also, quick thing to notice
do we have an easy case where this is true
if d = k
and so that would mean...
that the number must be a perfect square
that's one case
I am trying to figure out whether there's more
well, if d and k are not equal
I think we should start reasoning in terms of inequalities
which one out of d and k would be smaller
assume positive divisors first
yes
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Given function $y=f(x)=2024^x-2024^{-x}+\ln^{2023}(x+\sqrt{x^2+1})$. Find all $m \in \mathbb{R}$ so that inequality $$f(\sqrt{\log_{2}x}\cdot\log_{2}^{2}(2x)) + f[\sqrt{(m+1)\log_{2}x}-(4+\sqrt{m+1})\sqrt{log_{2}^{3}x}] \leq 0$$ has exactly 16 integer solutions
I have no idea where to start with
Alexis_Fx
Hmmm, okay
Hmm, yeah
Có vẻ hướng đó được
Lâu lắm rr ko làm logarithm h quên hết 😂
Não cá vàng nhanh quên
chứ ko bt f(x) hàm lẻ có dùng đc ko
ô đợi
f(x) đơn điệu
@thin cloud Cái này ngon
x^2+1 lúc nào cx lớn hơn x^2
nên căn của nó cx thế
bất chấp x âm hay dương
mé x>0
Đạo hàm a ms tính đc đơn diệu chứ
ko cần
Em quên rồi
1/(x.ln(a))
còn là hàm lẻ nx
tính chất 1: nó như cứt
h e chỉ cần lấy cái dưới chuyển vế là xong
một bài tương tự từng xuất hiện trong đề thật
năm 2023 hsy
Em từng làm 1 bài ntn rồi
nhìn nó ko phức tạp thế này nhưng ý tưởng y hệt
Ý tưởng là hàm lẻ rồi f(x) = -f(-x) đk
vừa hàm lẻ vừa đơn điệu
Em chx kịp lấy giấy ra làm
Bài bx trc em làm cũng có hàm dạng f(x)= a^x + a^(-x)
Hình như hay ra dạng ntn
a chịu

This is the question
Given function $y=f(x)=2024^x-2024^{-x}+\ln^{2023}(x+\sqrt{x^2+1})$. Find all $m \in \mathbb{R}$ so that inequality $$f(\sqrt{\log_{2}x}\cdot\log_{2}^{2}(2x)) + f[\sqrt{(m+1)\log_{2}x}-(4+\sqrt{m+1})\sqrt{log_{2}^{3}x}] \leq 0$$ has exactly 16 integer solutions
Alexis_Fx
thử đặt t= log2(x) thì x = 2^t xem thử
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I don’t really understand how to fact check the middle statement, I just would like someone to explain to me the steps to confirming it or not 😓
Do you know definition of increasing and decreasing functions
i mean...
increasing and decreasing functions are referring to the slopes. positive slope = increasing, negative slope = decreasing
knowing how many zeroes you have and the general end behaviors of polynomial functions will help greatly in giving you a very rough sketch of the function, which would be more than enough to get visual idea of what g(x) looks like
Wait idk I’m probably just dumb but how do I know what specific points it’s decreasing and increasing on?
Where derivative is 0
Do you not know wavy curve method
You don’t know how todifferentiate or you don’t know what it is
What it is
Your gave to differentiate it on x
I suggest you learn differentiation first
Before going into increasing and decreasing functions
Okay 😅 thanks
I’m just confused because this is a pre calculus equation and my syllabus doesn’t talk about derivatives or differationation 😓😭 sorry about being confusing
Pre Calc you say?
Then drawing a graph will help immensely
Unfortunately to draw the graph of cubics, you have to know about derivatives as well
Aw okay I’ll figure it out then
Rudy you have good knowledge of mathematics, where are you from bro?
India
Figures
Oh nice me too
Nice
So are you a college student?
Let’s move the discussion somewhere else
Ok fine

Nice to meet you
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sin^2 theta+cos^2 theta = ?
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1
I need proof for that
Pytahgorus
I have the answer as 1, I don't have the proof
Ptolemy's 
What tool assumed?
Use definition of cosx and sinx for the unit circle
Just basic trig
Okay
draw a unit circle
Is it this?
.
!msgdel
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Interesting
indeed
Alright
Haven’t seen that one
uh
This constitutes a proof ye
this channel is about to implode
I just wrote, this is basic identity and direct algebraic manipulation
Or am I not allowed for the manipulation then
Not sure
yall
sin x = (1 - cos^2 (x))^2 ???
1/2
this channel is about to close, why are yall still typing in here
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Find the angles between the line root3x - y +6=0 and y+3=0
I can't think of a thing
I don't know nothing
I want to learn
I have a urge to learn everything
I quit all my addictions
No games no nothing
your root symbol 
Do you know of the formula $\tan(\theta)=\mod{\frac{m_1-m_2}{1+ m_1 m_2}}$
mod fail
Absolute value
U mean
did you mean $\sqrt{3}x$ instead of $\sqrt{3x\phantom{ZZZZZZZ}}$?
Ann
Yes
two angles*
So which one is m1 and which ones m2
yes
Alr ima search how to find slope

Your a genius thanks man
y=mx+c
This server is really helpful
How do I write it down with my question
I'll try to chatgpt once aswell
k
No
Ur very smart
I wana absorb every mathematical knowledge from u like a sponge
Yo
1 thing
How does this happen.
how does what happen
I understand that we compared line 1 with Ax+Bc+C=0
But
In line 2
ChatGPT showed me line 2 = 0
Y+3=0
Y=-3
...
Doesn't makes sense to me.
it does
seems like your second line doesn't have an x
which means the value of y doesn't depend on x
Ahhh anyone help
that's a big clue already
if y = -3 everywhere, what kind of line do you think y + 3 = 0 is?
mhmm
so m = 0 is not surprising
So is Ax+By+C a universal formula ?
Sorry I'm still learning
rearrange both equations to say y = {something}
then compare with the general form y = mx + c
Can we be friends since I can dm u if ur a friend?
why do you want to dm me?
aren't you learning here lol
maybe look at my bio lolz
Is y=mc+c universal formula ?
y = mx + c is the slope-intercept form of a linear equation
Only dm if urgent business or a friend
I wana be friend
In this coordinate geometry can it be used everywhere to find angles ?
so-called because m is the slope and c is the y-intercept
i don't think you can use it directly, but it exposes the slope
Mhm
so you can use the slope in trig calculations to find the angle
Once can u covert root3x -y+6 =0 into y=mx+c ?
Yes
because if it is this is gonna be a pain in the ass
if the x is under a root as well
sorry, that is not a linear equation
and finding an angle between a quadratic and a linear makes little sense
if it is $sqrt(3)x - y + 6 = 0$ it would be trivial
Seia
ok guess that's not the way to do roots in texit TIL
where am i even supposed to look at
The first question under coordinate geometry
It's written short question
the x is not under the root
y = mx + c, yes
Put that root3 x-y+6 in y=mx+c please
the equation is $\sqrt{3}x - y + 6 = 0$
Seia
So
try it yourself
rearrange the equation so that you have y = {something}
that works too i suppose
Mhmmmmmmmmm
if that's the case just follow your book and plug your values in
you already have the equations in the right format
did you know multiplying something by 0 makes it disappear
so who's stopping you from introducing 0x into your second equation?
Me*
Is grade 10 high-school or ?
Middle school
My education system is different
dun ask me, i'm not from one of those countries that have a high school system
back to your question
I'll try to solve
Gimme 5 mins
Bro
My m1 is-root3
And tan inverse-1 -root 3 is -60 degree
nothing wrong with that
And answer shows 60 degree
it is 60 degree
you're asked to find a magnitude
the sign only shows direction
so the raw angle between those two lines is 60 degrees
Wasn't I supposed to find angle.
an angle is a magnitude
that's why the helper before me told you to "mod" the formula you were given to find the angle with
Tan theta =+- m1-m1/1+m1.m2
because you only wanna know the magnitude
technically it's not called a mod
So
Mhm
that's a whole other can of worms
So
If have yo find another value
Do
I do
180-first value ?
Taking -
?
If we take + it's 60
idk if you studied physics before
but we are talking about total angles here
I'm in grade 10 bro 😭😭😭
i'm not sure why you think i know what you are or have studied. that's why i said if
if you need two angles, the other is just 180 - that angle you found earlier
that's all
no negative signs
again, absolute values
Lemme show u smth funny
if you get a negative, toss it out
I just found
No 
not wrong. but do you see a negative angle anywhere?
exactly
Mhmm
I get it
Yall are super smart
Teach me yall ways
I gotta pass atleast
Atleast
Tmrw
Or my mom will be disappointed
I want to learn everything aswell
May I continue with another question ?
yes
\sqrt{3}
yea i found it after some google

The damn photo won't load
The damn photo won't load
Now my text isn't loading
.
2 photos
Very good
Very clear
nice, now i'm doing geometry
turning head 90 degrees
this is simple. you are given the big bombshell that the two lines are parallel
the first line already has its equation in y = mx + c form
should tell you everything you need
,rotate exists
its bot commands kek nothing to be smart about
huh
you just pick up from reading other ppl use it
you need the slope of the other line, yes
the other line can also be written in y = mx + c form
but you already know the m of the second line
you don't need to
Why is everything so hard when I'm trying.
you can if you want to, but why not just kick the x and the constant term to the right
Can u tell me steps what what i need to do.
Y=-2x-3 ?
AHHHH
THIS IS HEADACHE
WHY IS IMPROVING SO HARD
SCROLLING INSTA AND SLEEPING AND PLAYING GAMES IS MUCH EASIER
you will need some work to improve, so
but yes, this is correct
and now you have the slope of that line
and you know the second line is parallel to the first
what does that tell you about the slope of the second line?
that's perpendicular
Eait
parallel is even easier
And realised this anime gaming shit isn't worth it
Only costed me my vision
ik that.
draw
i'll tell you when i'm leaving
Reply ?
chill? i have other stuff to do too from time to time. relax.
Alr I'll try to utilise my time fully as long as I can
I got 1 hour before I sleep
Even if I fail this first terminal I'll try better next terminal
I'll just try to learn
Ig this is the only way to think so I can learn quicker
Smth like this?
mhm
what do you think the slope of the second line has to be if they don't meet (aka are parallel)
they will come into use later
if you can do that you might as well have answered the question
you don't have a
that's why you need to get the equation of the second line from the fact that the two lines are parallel
Oh.
So ur teaching me
How to make
This two point
Into a line
So I to make this two line into a equation
I meed to use the fact that they are parallel
no
you need to get the equation of the second line from the parallel part
like i said, ignore the points first
you need the gradient of the second line
or the slope
^
From y=-2x-3 ?
my good sir. you are already staring at the answer
SORRY MAN
IM TRYING MY BEST
...
So
Slope of first point
=slope of 2nd point ?
Pr
Or.
....
slope of first line = slope of second line because they are parallel, yes
you could have seen it here. look at the slopes of the two lines you drew. aren't they the same?
you alrd have it
this form of the equation already exposes the m
I DONT UNDERSTAND A THING
that's why i told you to rearrange to this form
yes.
so your other line also have a gradient of -2
but that's fine
you have a point
Yeah
the one that doesn't have the a
throw it into the equation
substitute the x and y values into the equation and solve for c
Substitute from?
The y=-2-3 ?
2x*
no
one of your points is (3, 4)
points are always given in (x, y) format
so use that information
finish your working?
yes, i'm asking
i'm not the one with the question and you posted the question 90 degrees
if there is a - sign before the 4 then yes your calculation thus far is correct
but finish your work at least before asking if i'm here lol
keep going
yes
also if you couldn't tell already, i'm not a "sir"
do you call females "sir"?
and you think the red diamond next to my name is for no reason or smth
lol
remember to .close the channel when you're done
so others can use it
or, you know, you can just call me by name
i have a name
and you're staring at it
but that's a story for another channel
Seia ?
Sprry
Sorry
Thanks for teaching me
Are u still free ?
I need to learn more
lmao
Alr
!help
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Sorry I didn't know this guy is my friend and I needed help too thank you for informing me
Idk if my question is even right or wrong.
@bold glacier
Go to the help-no.
And
Post question there
And that's ur room
Where they help and tutor u
I can't even see what you wrote due to the light
If the lines 11x+m1y+n1=0 and 2x+m2y+nz=0 are perpendicular to each other prove 11/2+m1.m2=1
There
perpendicular
you already know the relationship of the slopes of two perpendicular lines
you even quoted it to me when i asked you for the slope relationship between two parallel lines
M1.m2=-1
But
I'm not sure
If the question is correct
The question paper I got has a strange handwriting of our sir
I thought u went off
i really think you shouldn't be hanging on to the concept of a single helper a lot
ask him then
thought this kind of stuff should be clarified with him already
I jsut thought
That gayass hits us with pipe
so asking him is a no go or what?
No.
I don't like him
Bearded motherfuckers
I bet he even beats his children same way
With a wooden stick
Can anyone teach...
you already identified the concept. continue
do be patient, my dude
Wdym
it's not even 2 minutes since my last message and you're already sending stuff like this
Didn't u say not rely on a single helper urself