what do you mean
#help-17
uneven jay
yes
lyric fossil
that’s not correct
uneven jay
1 0 0 | alpha -1
0 1 alpha-2 | 0
0 0 2a-4 | -2b-2
if i am trying to finagle this form i get alpha = 2 for no solutions if b-1 is not equal to 1
lyric fossil
why no solutions
hard atlas
why is it independent of b
uneven jay
why is it independent of b
i typed too slow, it is dependant on b unequal 1
if alpha is 2 and b is 1 then i have exactly one solution right?
hard atlas
no
the last row can be three options. either 0=0, 0 = nonzero or nonzero=nonzero. to which of 0, 1 or infinite solutions does each correspond
whoops, forgot nonzero=0
uneven jay
0=0 is infinte solutions
0 = nonzero is no solution
nonzero = nonzero is one solution
right?
hard atlas
yes
uneven jay
so alpha = 2 beta -1 = all solutions
alpha = 2 beta not -1 no solution
none of the above one solution?
hard atlas
yes
vocal sleetBOT
@uneven jay Has your question been resolved?
hasty idol
Guys I need help really really bad I feel so upset
vocal sleetBOT
Guys I need help really really bad I feel so upset
hasty idol
Ping me when you are here
gleaming turtle
What's up?
paper depot
Guys I need help really really bad I feel so upset
might be a good idea to calm yourself down if you want us to help you w/ math
also just post your question
hasty idol
twin meteorBOT
hasty idol
How do you flip the picture?
Oh
Okay
Is the method for this add them toghether divide them by 2
?
paper depot
"the" method 
paper depot
what's wrong is the unspoken assumption that every single problem, or at least this one in particular, has one and only one correct way of solving it, all others declared wrong outright
hasty idol
Oh
paper depot
but anyway, yeah, sure.
let b, s and t be the heights of the table, soccerball and tennis ball as shown here
then you are told b + s - t = 100 and b + t - s = 60
hasty idol
Yes
paper depot
adding these together does indeed give 2b = 160
would you like us to address your state of upsetness?
hasty idol
What do you mean?
paper depot
you came here complaining that you are upset over this problem
do you or do you not want us to address that
paper depot
,rccw
twin meteorBOT
paper depot
ok, so you are upset over something else. still, do you want us to address that?
hasty idol
I'm confused on that; what do you mean?
Yes
Oh yeah
Math questions
Making me upset
Wait
Let me try to solve it first
hearty hare
Does anyone have an idea on how to do this
hasty idol
Why are you here?
hasty idol
Go to help
hasty idol
@paper depot ok I will try to solve it
Help-21
Is the answer 15, Ann?
Is that correct
paper depot
yes, it is
hasty idol
Yay
And then
Unfortunately
The questions got harder
Let me post it
I'm not very good at factorials
Is there a method?
So am I right the last number will be 0
Because anything after 6! Is 0 at the end?
paper depot
,rccw
twin meteorBOT
paper depot
So am I right the last number will be 0
Because anything after 6! Is 0 at the end?
this wording is slippery
hasty idol
Ok, let me rephrase
After the factorial 6!, The last digit of every factorial after 6 factorial is 0 as the last digit
Am I correct?
paper depot
clunky, but yes.
paper depot
are you on a deadline?
hasty idol
Yes
paper depot
:x
ok
keep in mind that you want the last 3 digits and not only the last 1 digit, by the way.
hasty idol
This is difficult for me
Yes I know
I am only able to figure out one
But I don't know the method for the other 2
paper depot
finding the last 3 digits of a number is the same as taking its remainder on division by 1000
in the same way as the one last digit is the remainder on division by 10
hasty idol
finding the last 3 digits of a number is the same as taking its remainder on div...
I'm a bit confused what you mean
paper depot
let me edit the word "m*d" out.
hasty idol
Okay
paper depot
I'm a bit confused what you mean
do you know what division with remainder is?
paper depot
the remainder of a number on division by 10 is equal to the number's last digit.
paper depot
the fact that you're phrasing this as a decimal is a little bit sus.
i am talking about division with remainder.
hasty idol
Can you give me an example?
paper depot
which would be stated in words as "Dividing 283 by 10 gives quotient 28 and remainder 3."
and with an equation as 283 = 28 * 10 + 3.
dull geode
paper depot
yes, the asterisk means multiplication.
hasty idol
Oh ok
paper depot
would be stated in words as "Dividing 283 by 10 gives quotient 28 and remainder 3."
and with an equation as 283 = 28 * 10 + 3.
this is the example i gave
hasty idol
Oh ok
paper depot
i took your example and rephrased it properly.
anyway
at this point you could simply
write out what the last 3 digits of all the factorials are
paper depot
you don't need to.
hasty idol
What do I do then?
paper depot
5! ends in 120
6! ends in 120 * 6 = 720
7! ends in 720 * 7 = 5040 = 040
8! ends in 040 * 8 = 320
9! ends in 320 * 9 = 2880 = 880
10! ends in 880 * 10 = 8800 = 800
11! ends in 800 * 11 = 8800 = 800
12! ends in 800 * 12 = 9600 = 600
and so on...
i omitted 2! and 4! as they are obvious
hasty idol
So what's the relation?
Oh wait
If I add long numbers over and over again
Would it be 000?
paper depot
we are not adding, we are multiplying.
paper depot
and yes, the last 3 digits of the factorials do eventually end up zeroing out.
,rccw
hasty idol
,rrtw
twin meteorBOT
paper depot
it's ,rccw, for rotate counter-clockwise.
hasty idol
So what's the hint in the bottom for
paper depot
i do not see any hint at the bottom.
paper depot
that's not a hint, that's a reminder of the definition of factorial.
hasty idol
Oh ok
paper depot
no, it is not.
paper depot
you are confusing the sum with its last term
hasty idol
What do you mean?
paper depot
considering the factorials individually, you will get that they end in 000 starting from a certain one onwards.
this alone doesn't mean the entire sum is equal to zero.
hasty idol
Oh wait
You are right
Listen
Tell me if correct
So
2 + 6 + 24
Oh wait
It's even factorials
So
2 + 24
So it should end with 026 right?
paper depot
no
there's a lot of terms that aren't zero but which you have thrown out.
why did you throw out 6!, which is 720, and doesn't end with three zeros?
paper depot
sure does, but you're interested in the last three digits.
paper depot
no, this is not an impossible question.
hasty idol
Oh
paper depot
the terms DO zero out at some point -- it just isn't at 6 factorial!
hasty idol
Oh ok
paper depot
5! ends in **120**
6! ends in 120 * 6 = **720**
7! ends in 720 * 7 = 5040 = **04...
i worked out the last 3 digits of a bunch of factorials for you here.
you should keep going here and find the first factorial that zeros out.
hasty idol
Ok watch me
600 * 13 = 7800
5! ends in 120
6! ends in 120 * 6 = 720
7! ends in 720 * 7 = 5040 = 040
8! ends in 040 * 8 = 320
9! ends in 320 * 9 = 2880 = 880
10! ends in 880 * 10 = 8800 = 800
11! ends in 800 * 11 = 8800 = 800
12! ends in 800 * 12 = 9600 = 600
Why does it get lower the number?
paper depot
i do not understand your question.
hasty idol
Why is 13 factorial lower than 12 factorial?
hasty idol
Why is 13 factorial a smaller number than 12 factorial?
paper depot
it isn't.
hasty idol
But I was using your method?
5! ends in 120
6! ends in 120 * 6 = 720
7! ends in 720 * 7 = 5040 = 040
8! ends in 040 * 8 = 320
9! ends in 320 * 9 = 2880 = 880
10! ends in 880 * 10 = 8800 = 800
11! ends in 800 * 11 = 8800 = 800
12! ends in 800 * 12 = 9600 = 600
paper depot
and in doing so, you got that 13! ends in what?
hasty idol
Wait
5! ends in 120
6! ends in 120 * 6 = 720
7! ends in 720 * 7 = 5040 = 040
8! ends in 040 * 8 = 320
9! ends in 320 * 9 = 2880 = 880
10! ends in 880 * 10 = 8800 = 800
11! ends in 800 * 11 = 8800 = 800
12! ends in 800 * 12 = 9600 = 600
It ends with 800
paper depot
13! ends in 800.
paper depot
so then why do you ask me such 2+2=5 type questions
paper depot
you use it to find the last three digits of 14!, and then of 15!, and then of 16!, and so on...
paper depot
What?
you asked me "Why is 13! < 12!" knowing full well the statement 13! < 12! is false
hasty idol
That was a accident
paper depot
you said it twice
hasty idol
Ok so find 15 factorial then
paper depot
so it cannot be an accident
hasty idol
Show me how you would find 15 factorial
paper depot
i would not find 15! itself
for the purposes of this problem i would only find its last 3 digits
13! ends in 800
hasty idol
Show me how you would find the last 3 digits of 15 factorial
paper depot
14! ends in 800 * 14 = 11200 = 200,
and 15! ends in 200 * 15 = 3000 = 000.
paper depot
yes, exactly.
hasty idol
I was adding
paper depot
this answers neither of my questions.
paper depot
4! is not 218 nor is it 12
paper depot
why are you putting 5! in your sum in the first place?
paper depot
again how did you get this
hasty idol
I added the even factorials
paper depot
show, don't tell!
paper depot
this isn't what i wanted you to do.
paper depot
show me exactly what numbers you added and exactly what your result is.
paper depot
i think you've forgotten a term.
paper depot
which word in my message needs explaining? "i", "think", "you", "have", "forgotten", or "term"?
hasty idol
I didn't forget any term?
paper depot
yes you did.
hasty idol
Which one?
paper depot
2!
paper depot
do you think i am going to remember this after several pages between you posting the pic and now
you're gonna have to repost it -- ideally in proper orientation this time
hasty idol
paper depot
,rccw
twin meteorBOT
hasty idol
I have my pencil ready for all the math
paper depot
k
if you didn't care whether or not the rectangles were touching, could you count the ways to shade exactly two of them in
hasty idol
I'm confused what do you mean?
vast shale
the way you worded it was a bit confusing i’m pretty sure
hasty idol
Who are you? please, someone is already helping, a genious
vast shale
okay mb nvm
paper depot
@hasty idol if your problem read
In how many ways can exactly two of these nine rectangles be shaded?
would you be able to do it? yes or no
paper depot
how did you count that?
hasty idol
I can send a picture of the way I did it
paper depot
you realize that, for the purposes of finding PAIRS OF RECTANGLES, you've grossly undercounted them, right?
hasty idol
How?
paper depot
you counted only these pairs:
1, 2
2, 3
4, 5
5, 9
6, 7
7, 8
and other pairs such as 1, 3 or 1, 4 or 1, 5 are nowhere to be seen
hasty idol
How does 1 three work?
Ok so since there is a number there is 8 rectangles
6 pairs
8 + 6
paper depot
How does 1 three work?
it works by shading in rectangle #1 and rectangle #3 ...
no, you're confusing yourself!
hasty idol
How?
paper depot
you're overthinking it and confusing yourself!
i deliberately simplified the problem to NOT care about how the rectangles are placed!
hasty idol
Oh ok
paper depot
there are just 9 rectangles suspended in midair! how many ways are there to select 2 of them?
hasty idol
6
paper depot
incorrect!
hasty idol
How?
paper depot
1 2
1 3
1 4
1 5
1 6
1 7
1 8
1 9
2 3
2 4
2 5
...
Do you mean 1, 2, and 3 shaded
cobalt helm
I feel like he doesn't know how enumeration works at it's core
hasty idol
I didn't ready the question properly
paper depot
god fuck i need a moment
C CZSdMZD BMZGD' STGF
JTDGFNS
GTFmDGFHN
STH
HOW THE FUNSFKDHG
cobalt helm
Want me to pick it up from here ?
hasty idol
I understand
paper depot
how the hell do you expect to get help if you don't read things people say to you properly
paper depot
Want me to pick it up from here ?
yeah go ahead imma go try to cool down
hasty idol
Sorry!!!!
cobalt helm
Okay so
cobalt helm
No ?
cobalt helm
I suppose so, I'm pursuing my masters degree
cobalt helm
I guess yeah
hasty idol
There's no triangle
cobalt helm
Rectangle sorry
hasty idol
Yes
cobalt helm
And then try and enumerate all the other rectangles you can select to form a pair
hasty idol
What does enumerate mean?
cobalt helm
Basically just write down or jot down
This is going to be long at first
But I need you to do this to understand how it works
hasty idol
Ok
cobalt helm
So
cobalt helm
Go ahead
hasty idol
So
1, 3
1, 5
1, 9
1, 6
1,7
1,8
That's already 6
Now
2, 6
2, 7
2,8
3
Now
3,1
3,4
3,5
3,8
3,7
3,6
That's 6
Now
hasty idol
?
cobalt helm
1,3 and 3,1 is the same pair of two rectangles
hasty idol
5,6
5,1
vast shale
I will remove them
Sounds like you've accidentally stumbled upon the formula
hasty idol
That's 2
cobalt helm
Didn't you notice anything ?
hasty idol
6,1
6,2
6,3
6,5
6,9
6,7
cobalt helm
Look at what @vast shale said
cobalt helm
Why AFTER ?
hasty idol
Because so I know which ones to remove after
cobalt helm
Look at each single rectangle and figure out which ones are touching
cobalt helm
Ok now remove the pairs that occur more than once
cobalt helm
Jesus christ all mighty
hasty idol
What?
cobalt helm
What you just wrote right now
Copy and paste all of it in a text editor or whatever
And remove the pairs that occur more than once
hasty idol
I know I need to write them on paper
cobalt helm
Why would you need to that ?
This is not even how you're supposed to solve this question
hasty idol
I need to write them on paper so I can cross out the same ones
cobalt helm
Okay if you need to..
cobalt helm
Take your time
hasty idol
Do you have the answer?
cobalt helm
Yeah I do man
cobalt helm
Mb I thought 7 and 9 touched each other on the picture
It wasn't clear enough to see
hasty idol
Its 22 right?
cobalt helm
Now if you notice there a pattern. You didn't cross out anything on the first rectangle, nor the second
But the further you went the more you crossed out
cobalt helm
It's 21
hasty idol
how?
cobalt helm
Yep
hasty idol
Ok I have another question
cobalt helm
Yes
cobalt helm
,rccw
hasty idol
23 was supposed to be 22. 23 is a mistake
twin meteorBOT
cobalt helm
Do you know what a prime number is ?
hasty idol
Yes
cobalt helm
Good can you give me ONE example where a + b + c = 22 and with a, b and c are prime
cobalt helm
a, b and c are all smaller than 22
hasty idol
Yes
cobalt helm
So I'm going to need you to list me all the primes that are smaller
cobalt helm
Out of all of these do you think you can find ANOTHER combination that will sum up to 22 ?
hasty idol
2 + 3 + 17
cobalt helm
You figured it out.
There are only three numbers that amount to 22 when added
2, 3 and 17
Now here's the thing
hasty idol
What?
cobalt helm
We are asked a number of triples (a, b, c) which means that (2, 3, 17) isn't (3, 2, 17)
Do you agree ?
hasty idol
Yes
cobalt helm
Give me all the combinations
hasty idol
Ok
Your ones and
(2,3,17)
3,2,17
17,3,2
17,2,3
2,17,3
3,17,2
Those are all of them
6
cobalt helm
There you go
cobalt helm
Where did you get 12 from ?
cobalt helm
YOU forgot about them
hasty idol
Why
cobalt helm
Yeah so 6 from each
cobalt helm
Yep yep, my bad, I'm sorry I got really frustrated
cobalt helm
,rccw
twin meteorBOT
cobalt helm
Seconds
cobalt helm
Are you sure ?
cobalt helm
How did you reach that
hasty idol
By using my brain
cobalt helm
Nice
hasty idol
100*4 = 400
hasty idol
How do I calculate distance?
cobalt helm
It is given to you
hasty idol
4 metres per second
hasty idol
By reading
hasty idol
It's written there
hasty idol
It's written there
cobalt helm
Your train of thought needs to be clear
hasty idol
Ok
cobalt helm
Of course it's written but you need to show how you got there besides "my brain"
So 100 seconds for one lap
for person A
And 80 seconds for one lap for person B
cobalt helm
Yeah so you need to figure out how much distance they're going to cover in 10 minutes
So in 10 minutes how many laps is person A going to run
cobalt helm
And B ?
cobalt helm
We're not gonna count halfs here
hasty idol
Ok
cobalt helm
So we'll just say 7
hasty idol
Ok
cobalt helm
Which is the floor value
hasty idol
They will pass each other 13 times
hasty idol
Is that correct?
cobalt helm
Yes
hasty idol
WOOW
cobalt helm
And we can prove this by using another method
hasty idol
THANK YOU
I AM SO HAPPY I FINALLY UNDERSTAND THIS TYPE OF QUESTION
Ok let's prove it now
hasty idol
Yes
hasty idol
Yes
cobalt helm
And since they move in opposite direction (which is a key element)
They have 400m between
5400/400 =
hasty idol
13.5
hasty idol
It is 13
cobalt helm
There you go
hasty idol
Ok I have another question
cobalt helm
I have class in like 2 min hahhah
hasty idol
: (
cobalt helm
Wait
hasty idol
What class do you have
cobalt helm
Graph Theory 2
hasty idol
Why?
cobalt helm
hasty idol
?
cobalt helm
Because he's my teacher
cobalt helm
Okay so you want me to ask my teacher to help someone on a discord server
cobalt helm
I have to go now, good luck
hasty idol
No wait
Pls bring someone else
Aww
@paper depot
I need help
I will now listen to you sincerely
<@&286206848099549185>
Hello
.close
still anvil
tried this derivative problem 2 diff methods got stuck on both idk how to do it
still anvil
am i doing it right to begin with tho?
finite shell
Hi again @still anvil ! While the top part looks fine, you have an error on the bottom part. Remember, g is the denominator, not the numerator.
vast shale
the stuff on the left is wrong because the derivative doesnt just "expand" into the denominator like that
the stuff on the right would work, but you somehow mixed up ur f and g in there?
still anvil
where do i mix it up i thought i did the one with 7 as the denominator as g?
o
nvm
nova fulcrum
first off (and sorry if you did bu I can't read well the paper), separate the constant and put outside the derivative
still anvil
ok so forg g^2 do i use the power rule on (7 3sqrtx^2)^2 to make it 2*7sqrtx^2
nova fulcrum
this derivative you do in 3 steps if you do the steps correctly
nova fulcrum
first off (and sorry if you did bu I can't read well the paper), separate the co...
do what i said
still anvil
which is the constant 5 or 7
nova fulcrum
who is acting over x?
still anvil
7
nova fulcrum
5 isn't?
nova fulcrum
aha
still anvil
5/7 * x??
nova fulcrum
so that out
nova fulcrum
eliminate the numerator
still anvil
wait what why?
nova fulcrum
do it
you can see things clearly
when you don't have fractions
what is 1/a
isn't it a^(-1)?
still anvil
yeah
nova fulcrum
so what's 1/x^(2/3)
still anvil
so x^-2/3
nova fulcrum
derivate that
still anvil
huh how
nova fulcrum
derivative of x^a?
finite shell
nope
still anvil
a
nova fulcrum
?
still anvil
a*x^a-1
still anvil
-2/3 * x^1/3
nova fulcrum
no
still anvil
-1/3?
finite shell
what's -2/3 - 1?
still anvil
2/3
nova fulcrum
do you know how to substract fractions?
nova fulcrum
how much is -2/3 -1
still anvil
No -5/3
nova fulcrum
you can say numbers until u want, no problem
the idea is you think before answering
still anvil
it clicked at -5/3
nova fulcrum
so you have -2/3 * x^(-5/3)
finite shell
don't forget about the constant you left out
nova fulcrum
can you add all the things together now?
you finished
rewrite back in fraction form
still anvil
-10/(21x^(-5/3))
finite shell
check your signs
still anvil
so convert the -5/3 ?
nova fulcrum
what do you think?
still anvil
yeah
nova fulcrum
use the definitions you have
you don't have to ask if 2+2 is 4
if you know something, use it
nova fulcrum
np
still anvil
.close
vocal sleetBOT
vocal sleetBOT
Available help channel!
vast shale
Hey, what graphing calculator do you recommend for high school to university?
I could get the Ti-Nspire or Ti-84 plus CE, and they both are extremely appealing options
But im wondering what yall would go with and what you think its important to note
I will not be using it in any high school tests, but i do plan on using it in college physics and for personal studying
Im not particularly interested in programming it or gaming on it
I realize the Nspire is far better performance wise, but I've heard some say its overly complex to use, or that the buttons are too small
urban edge
Nspire is a little heavy for most uses, but i guess if youre programming on it, it makes sense
karmic imp
In my opinion 84 is the best choice, it can do everything you need
vast shale
Nspire is a little heavy for most uses, but i guess if youre programming on it, ...
I realize its a bit much, but I'd like something that lasts me through college, as paying 100+$ is something i like avoiding when possible
karmic imp
The 84 lasted me all the way through college, depending on the course, some would allow up to the ti 36pro
pallid zenith
what have you tried?
it might help to solve to smaller right triangle, if you need a place to start
by smaller i mean the one formed by the shack, the ground, and the hypotenuse connecting the two
pallid zenith
yea
sorry i was drivin
so lemme see here
im with you up to the 21.09
then i think we would say something like
$\tan \qty(21.09) = \frac{16+x}{100}$
twin meteorBOT
janniku
pallid zenith
then $x = 100\tan(21.09)-16$
twin meteorBOT
janniku
pallid zenith
yea, looks good
vast shale
Determine the values of a and b so that 𝑦 = (𝑎 + 𝑏)𝑒
𝑎+𝑏𝑥 note that 𝑥1 =
𝑎 − 1𝑏 a local minimum and at 𝑥2 = 𝑎 − 13𝑏 a point of Inflection (P.I.)
patent nymph
do you mean $$ y = (a+b)e^{a + bx} $$
twin meteorBOT
even order group => solvable
vocal sleetBOT
@vast shale Has your question been resolved?
cobalt imp
Can someone check if these two are correct
vocal sleetBOT
Can someone check if these two are correct
patent nymph
they are correct
mild flower
what's amplitude defined as? crest to trough or crest to average?
cobalt imp
they are correct
thank u
cobalt imp
what's amplitude defined as? crest to trough or crest to average?
crest to trough
.close
patent nymph
crest to trough
if it’s crest to trough, then it should be 10, so none are correct
patent nymph
.close
cobalt imp
if it’s crest to trough, then it should be 10, so none are correct
wait idk it just asks that
vocal sleetBOT
wait idk it just asks that
cobalt imp
.close
vocal sleetBOT
cobalt imp
Can someone check if this is correct
patent nymph
one way to check if it’s right is to substitute x = 0 into the function and see if it gives the right y
vocal sleetBOT
Available help channel!
hushed cipher
Is this correct?
vocal sleetBOT
Is this correct?
flat whale
spark cloak
i am assuming 8
hushed cipher
no i see it now
So is it correct?
spark cloak
I honestly haven’t learned this yet so I’m trying to find a yt video about how to know if a sequence is divergent or not
I haven’t found anything yet
hushed cipher
If r > 1 or r < -1, it's divergent
mild flower
Is this correct?
yes this is correct
vocal sleetBOT
hushed cipher
.reopen
vocal sleetBOT
✅
hushed cipher
yes this is correct
Is this also correct?
mild flower
Is this also correct?
no 
hushed cipher
no <:holoApple:587464687105343518>
I see, so iii is false then?
mild flower
interesting that you went to iii
yes, iii is false, but why? can you think of a counterexample?
hushed cipher
Iv seems false to me and i too
hushed cipher
interesting that you went to iii
yes, iii is false, but why? can you think of a ...
It'll approach the limit, but it'll never touch it. That's what I was thinking in mind
mild flower
i mean "most" of the time that will be true, that a limit will equal the function's value
eg $\lim_{x\to 3} \frac{x-1}{x-2}$
twin meteorBOT
Hayley
hushed cipher
So was that thing saying that the value of f(a) is the same as L?
mild flower
yeah (iii) is asking whether it's true that f(a) = L means the limit will go to the same place
which is true for continuous functions, that's the definition of continuity actually
hushed cipher
which is true for continuous functions, that's the definition of continuity actu...
So then it's false because f(a) isn't always = L?
mild flower
we are in this case trying to find a function that has a point where it's approaching one spot but the actual value isn't at that spot
hushed cipher
we are in this case trying to find a function that has a point where it's approa...
A side unrelated question, does (1/2)^infinite = 1?
twin meteorBOT
Hayley
hushed cipher
$\lim_{n\to\infty}\frac1{2^n} = 0$ though
One last question, is this correct?
Alr, thx for the help!
stuck harness
can someone check this
vocal sleetBOT
can someone check this
stuck harness
questions 8 and 9
vocal sleetBOT
@stuck harness Has your question been resolved?
rapid swift
these two entries don't look right
also the ink is kinda wearing off the paper, which makes it hard to read some things
stuck harness
im not sure how to fix it because i dont get the relationships
this stuff should be easy but out of everything in geometry im struggling with it
can you tell me how to find each measure for 45 45 90 given each value
rapid swift
you don't understand the relationship between x and y here?
rapid swift
$y = x\sqrt{2}$
twin meteorBOT
Saccharine
rapid swift
yeah?
rapid swift
suppose you give me a number, and I multiply it by 2
so if you give me 3, I give you 6
then suppose you forgot what number you just gave me, but I give you 100
how might you figure out what number you gave me?
stuck harness
im not sure
i wanna say put 100 in radical for 10 but idk how that would help
yeah im stumped
rapid swift
bruh what
stuck harness
im not sure
rapid swift
let's simulate the doubling machine
stop jumbling the symbols in your head and just pay attention to the doubling machine
if you put a number in, it prints out a piece of paper with double that number on it
so if you write 23 on a piece of paper and put it into the machine, what do you get out?
stuck harness
46
rapid swift
okay now suppose I write something on a paper in secret and put it in the machine
and the machine spits out a paper with 66 on it
what number did I write?
stuck harness
maybe 33?
rapid swift
how did you figure out 33
stuck harness
66/2
rapid swift
so you just did something to reverse the multiplication by 2, right?
stuck harness
yea
rapid swift
so conceivably, we could invent a machine called the "halfway doubling" machine, which just multiplies the input by sqrt 2
how might you figure out what got put in, just given what the halfway doubling machine spit out?
[in a completely irrelevant detail, it's called the "halfway doubling" machine because if you put the output of the machine back in, you get double the original number]
stuck harness
saccharine i dont think this method of learning helps me because english isnt my first language 😭
can you teach the way a textbook would like this equals that and blah blah blah
i get that that method of teaching doesnt let u fully understand how things work and you just mindlessly do them but thats how im used to it
rapid swift
can you teach the way a textbook would like this equals that and blah blah blah
I mean if you want that, you should probably consult a textbook
I'm trying to explain something that you didn't get out of a textbook
stuck harness
thats my mistake cuz i dont think its very easy for u to teach if my english isnt the best
thank you anyway
rapid swift
I think you're missing something fundamental here
otherwise I'm not sure what's hanging you up
like if you know that y is sqrt(2) times x
then how is it that you can't figure out how to find x from y?
the doubling machine example I gave was when y is 2 times x
stuck harness
i found out how to do it, like if y = 24 i just divide it by rad 2 then simplify which turns into 12(rad2)
i think im just burnt out because summer school is not fun
an entire course of geometry squeezed into 6 weeks which means we skim the material and you dont get a true undersanding of how geometry works
rapid swift
wait until you get to college lol
then it's an entire intro to linear algebra or something squished into 10 weeks, and you have like 5 of them
stuck harness
is the course originally a years worth of stuff?
cuz for our summer school its incredibly scuffed like a regular school year condensed for college credit
rapid swift
is the course originally a years worth of stuff?
well, they teach it in a year in high school, but in college, things get much faster paced
something might just be a semester or a quarter
stuck harness
thats gonna suck because im going into computer science
i think i need high math req
rapid swift
computer science doesn't require super high math
mild flower
CS majors got a free math minor at my school
rapid swift
just your introductory undergraduate stuff I think
rapid swift
CS majors got a free math minor at my school
damn sign me up
the math minor was such a pain that I gave up
mild flower
and a math major was like +6 classes or so
stuck harness
anyways i think my problem is resolved
rapid swift
make sure you fix the other table too
stuck harness
i need help again on this
vocal sleetBOT
i need help again on this
stuck harness
ive been doing hw for almost 8 hours because this is our most packed chapter yet
rapid swift
try finding the length of this side
stuck harness
6
rapid swift
then use the fact that the triangle is a 30-60-90 triangle
stuck harness
i tried x(rad3) = 6
it didntwork
nvm
i got a simple answer of 2(rad3)
y = 2 and x = 2(rad3)?? @rapid swift
stuck harness
so something has gone wrong in your calculations
i am actually so confused
so after i found out the side u told me to find was 2(rad3)
that means the shortest side or Y needs to be 2
right"??
rapid swift
which side is 2 rad 3
stuck harness
longer side
stuck harness
rapid swift
didn't you just say that side was 6
rapid swift
why is that the case
stuck harness
because when i set xrad3 to 6 u get 2 rad 3 = x
rapid swift
why should x rad 3 = 6?
stuck harness
sacharrine i dont think any of my solutions are making sense i am not lying when i said ive been nonstop working for 8 hours
rapid swift
well, it's not particularly productive to work on something 8 hours if you're making it nowhere
try taking breaks and do something else
also try not to stare at something for so long and perhaps review other things
same thing happens with university math homework
you read the problems, then you ponder something else
staring at them doesn't help