help-27

[drifting sierra]

https://en.wikipedia.org/wiki/Turn_(angle)#Proposals_for_a_single_letter_to_represent_2π

[gilded coyote]

If I were doing homework (in undergrad) and wanted to use pi in this way, would I need to specify it or is it obvious/irrelevant? I guess it only really matters when you actually care about the numbers.

[drifting sierra]

If you use pi to mean 360º, people will assume you made a mistake

Just write "2pi" every time you want to do that instead

Or use another letter, and specify at the beginning that it's equal to 2pi

[radiant dune]

I mean it's all just symbols there's no problem with doing anything as long as your assumptions are consistent with the actual circle.

I could define my own constant 10*circumference/radius, and call it WKSODKGM. nobody would care, it's just like assigning a value to variable.
Just make sure to not use already used symbols

And mention, if you're defining something which is not conventional

At the start of your homework problem or whatever

[gilded coyote]

Will do. From the wikipedia article, I really like the pi symbol with 3 legs. I assume it's not common though.

[radiant dune]

If that helps you at all

[gilded coyote]

Yeah, all of this helps.

But just as clarification to the pi = 3.14 (diameter:circumference). When we're working with radians and degrees, pi becomes a half turn. Does pi stop representing the ratio of a diameter to its circumference in the case of unit circles?

[drifting sierra]

I think tau (τ) is the most popular alternative nowadays

[drifting sierra]

No, the diameter of a unit circle is 2

[gilded coyote]

Alright, thank you. And thanks to everyone else as well. I appreciate it 🙂

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[woven radish]

! What the hell am I doing here?

[devout snow]

@restive river Has your question been resolved?

[willow helm]

We first factor out the leading coefficient from the first two terms

So in a quadratic equation $y = ax^2 + bx + c$

[woven radish]

USS-Enterprise

[willow helm]

We get $y = a \cdot (x^2 + \frac{b}{a}x) + c$

[woven radish]

USS-Enterprise

[willow helm]

Then you take half of b/a, square that and add it inside the parantheses, then substract what you get times a from the whole thing

So the expression remains equalivalent to the previous. If we add 2 inside the parantheses and a = 3, then after distributing a through the parantheses we have 6, but we also have to substract 2 times a (3) from the whole thing so it is equivalent to the previous expression

After you do that you are in the form of $a^2 \pm 2ab + b^2$

[woven radish]

USS-Enterprise

[willow helm]

(inside the parantheses)

[devout snow]

@restive river Has your question been resolved?

[willow helm]

Well you want to complete the square, no?

First, factor out a.

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@restive river Has your question been resolved?

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@restive river Has your question been resolved?

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[torn fox]

could someone please explain what this problem means by find polynomial s(n)

[supple knot]

Find s(1), s(2), s(3)

And then find a pattern for general s(n)

[torn fox]

then from that i create a polynomial?

[supple knot]

Polynomial in n yes

s(1)=0

s(2) = 2^2-2 = 2

[torn fox]

oh is this like a recursion defintion or something?

[supple knot]

s(3) = ?

No

[torn fox]

oh ok

[supple knot]

It could be recursion, but that's irrelevant

[torn fox]

ic ic

so i just need to find the first few values using the formula of the summand

then find the pattern

and build a polynomial

then prove by induction

that my polynomial works for any value of n

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[honest thorn]

Ik all the circle theorems and stuff

but i dont really understand the question i think

bc if the angle in segment FJ is 84

cant you just do 180-84

and get the degree of HKJ

[winter patrol]

no

FH isn't a diameter and K isn't the centre

[honest thorn]

OHHH

thans

thanks

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[solid osprey]

can you do this without manually changing the denominator

[solid osprey]

oh wait i got it

you just factor 3/2

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[rough talon]

How can I prove that an affine transformation of a polyhedron is still a polyhedron? For instance, in attempting to demonstrate that both A(P) and $A^{-1}(Q)$ are polyhedra, I tried to show that the mapping between them preserves the inequality constraints. However, I encountered difficulties in doing so, even when following the provided hint

[woven radish]

toitenlanhat

[devout snow]

@rough talon Has your question been resolved?

[rough talon]

<@&286206848099549185>

[steady terrace]

the hint means that you can always write a polyhedron as A(x,y)<b.

do you know Fourier-motzkin?

that is the original statement of the hint

[rough talon]

thanks but how can I prove the statement with the hint

and also how to apply it to prove the preimage of a polyhedron is also a polyhedron

[steady terrace]

if P is a polyhedron that write it as (x,w) that Px+Qw<c for some w in R^m. when you transform x into Ax you just need to show still exist some w which satisfy P(Ax)+Qw<c

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[unkempt grotto]

can someone verify that my power series representation is correct?

[devout snow]

@unkempt grotto Has your question been resolved?

[supple knot]

,w power series 1/(8+x^3)

[woven radish]

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

Requested by rie.mann

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[smoky gyro]

$\int_{ }^{ }e^{\left(3x-2\right)}dx$ need help evaluating this

[woven radish]

water beam

[smoky gyro]

do i use exponent laws or something

and then do

e^3x/e^2?

i know i can u-sub it but

do i have to do something else first

[verbal turtle]

no

just go for it

[smoky gyro]

ok

oh i see

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[quartz estuary]

help

[quartz estuary]

i keep getting 53

but its not even the option

s

am i ryt

and is this jus wrong

😀

[topaz axle]

same

clearly the middle one, so average of two

[quartz estuary]

whatt

wait wdym

[topaz axle]

you're right

[quartz estuary]

oohh okok

damn 😃

thank u

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[restive river]

Hey so in the book theres a worder question that goes: "A number x is equal to its own square minus 42. Find two possible values for x." and im wondering how to do this i think they mean this type of formula but im not sure, much appreciated.

[restive river]

x^2+ax-42=0

[dense jay]

try just interpret it as its stated
"a number x is equal" x=
"to its own square" x=x^2
"minus 42" x=x^2-42

[dense jay]

which does get to this form, but the a is unnecessary

[restive river]

hmm ok

[dense jay]

kind of anyway

a=-1

[restive river]

i thought they meant some thing like 4x or 8x like that

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[steel marlin]

COMBINATORICS:

On two sides of a regular playing cube you write 0, on two sides 2, on two sides 4. We roll it 5 times

1)How many combination you can make
2)How many combination are there, where the sum is 10

[steel marlin]

the first is $3^5$, it was not hard

[woven radish]

Daniel

[steel marlin]

in the second, i wrote up the numbers needed to be rolled for 10
4+4+2+0+0 (y possibilities)
4+2+2+2+0 (x possibilities)
2+2+2+2+2 (1)

[topaz axle]

i wouldn't go for 3^5

[steel marlin]

i don't know how can i calc the first two

[restive river]

for each number u can roll its a 1/3 chance

[steel marlin]

okay

[restive river]

so 1/3 + 1/3 +1/3

so on

[steel marlin]

u sure

[restive river]

but thats for only 1 of the sums that make 10

[steel marlin]

okay, hear me out

[restive river]

im never sure i just think

[topaz axle]

there's 7c2 combinations and 3 that make 10

or not

it's not clear what they want

[steel marlin]

i need every possible ways, i can roll 10 with rollin the dice five times

so roll1+roll2+...+roll5 = 10

[restive river]

why 5 times

[lavish sigil]

You're treating 00222 and 20202 as seperate cases by doing this

In short you're permuting them as well

[steel marlin]

yes

but they are not right

because 2+0+2+0+2 != 10

[lavish sigil]

They aren't yeah

[steel marlin]

ye

cool

so we have 3 case, where you can roll 10

[lavish sigil]

I'm saying your first answer is incorrect as well

[restive river]

where did u get this problem?

from

[lavish sigil]

So did this person

[steel marlin]

Hungary advanced level survey

let me translate

Since there are three different types of
numbers (0; 2; 4), the ordered five rolls
5^3 = 243.

számötös means you roll the dice 5 times, and the 5 number you get is the számötös

[restive river]

5^3 is not 243

[steel marlin]

3^5 is

did i make a mistake above?

[restive river]

yeah

lunch

[steel marlin]

okay

so the a) is 3^5=243

what about the b

[woven radish]

Daniel

Daniel

[topaz axle]

4+2+2+2+0 has 3 repeats, so you divide by 3!

[steel marlin]

i see

so if it would have 4 repeats, like 4+2+2+2+2

i'd write 5!/4!

[topaz axle]

yes

every permutation of 4 2 2 2 0(out of 120) appears 6 times, so you divide by 6, and there's 20 different permutations that correspond to 4+2+2+2+0

[steel marlin]

so 3! times

correct

in the first case, 4 appears twice, just like the 2

[topaz axle]

that's how it works yeah

[steel marlin]

thats why we divide it with 2!*2!

i see

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[snow willow]

Hi

[brisk hare]

hi?

[snow willow]

Approximate the derivative of F at the point X zero using the slope of the tangent line at the point P(x0/f(x0)). Thats the task. So the slope is just one? What would it look like if I wrote it down in limes?

It actually seems lile P(0.5/0.5)

from x_0

[snow willow]

maybe you can help

[brisk hare]

the slope at x0 is the slope of the line which is 1

whats the problem in that

???

[snow willow]

So thats it?! Is it possible to write it in limes?

Or do we have to less values

[brisk hare]

i dont know what 'lim' means

[snow willow]

limes

[brisk hare]

whats that

[snow willow]

lol wait lemmie show you

@brisk hare

[brisk hare]

then here the c and L both would be 0.5

[snow willow]

so it would look like:

[brisk hare]

yes

[snow willow]

But didn't you know the Limes beforehand?

[brisk hare]

no

[snow willow]

Its popular

[brisk hare]

i have seen it in a few questions but those questions are from future chapters which i have not been taught

[snow willow]

Me too but I decided to go forward because the school do like boring stuff

[brisk hare]

cant find it

[snow willow]

What

[brisk hare]

the questions

[snow willow]

ah

[brisk hare]

in my country the students drop from school to study for entrance exams

[snow willow]

Where are you from

[brisk hare]

india

[snow willow]

I see

[brisk hare]

the difference in stuff they teach in school and the level of entrance exam is high

[snow willow]

i see

[brisk hare]

which country are u from

[snow willow]

germany

[brisk hare]

oh

[snow willow]

jep

[brisk hare]

whats that

[snow willow]

„jep“?

means yes

yep

[brisk hare]

ohh

[snow willow]

yeah

all the same

[brisk hare]

found it

the 11th one

[snow willow]

oh yea

but thats too difficult xd

[brisk hare]

what does the symbol after the exponential mean

[snow willow]

I don't know

never seen

[brisk hare]

imma ask this in help

[snow willow]

okey 👍

[devout snow]

@snow willow Has your question been resolved?

[timid whale]

N!

Is also written

Like that

[devout snow]

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[celest ivy]

In an equilateral triangle ABC there is a point P in its inner region, if the angle of PAC= x, the angle of PCA=2x and the angle of CBP=3x, what is the value of x?

[devout snow]

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@celest ivy Has your question been resolved?

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[devout snow]

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[celest ivy]

.reopen

[devout snow]

✅

[final laurel]

!status

[cold bough]

how much is x+2x+3x?

[devout snow]

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

[celest ivy]

I dont think that is the graph

[celest ivy]

I'm at 2

I did this btw

[cold bough]

here's the letters

[celest ivy]

yeah but PAC is not the same as PCA or ACP so you cant say the 3x is at CPA

[cold bough]

right

[celest ivy]

,rotate

[celest ivy]

I just don't know if I did it right there or if there is something I'm missing

[celest ivy]

yes, that is what is in the picture

[devout snow]

@celest ivy Has your question been resolved?

[devout snow]

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[restive river]

A triangle has a base length of 2x cm and a height of (x-3) cm. If its area is 18 cm^2, calculate its height and base length. I got x=-3 and x=6. The correct answer tho is x=3 and x=12

[restive river]

how do i do this

its like 2x(x-3)=20 or 2x^2-6x=20

[brisk hare]

why would the rhs be 20

[restive river]

i mean 18

i confused with the next question

[brisk hare]

area = bh/2

[restive river]

ik

[brisk hare]

18=(2x)(x-3)/2

so rhs would be 36

[restive river]

what are you talking about

[brisk hare]

base=b=2x

height=h=x-3

then substitute in area formula

[restive river]

i got the same answer

[brisk hare]

the quadratic would be x^2 - 3x -18=0

which gives x=6 and -3

[restive river]

yes

and its wrong

i dunno why though

[brisk hare]

maybe its misprint

[restive river]

its same mistake on the next question too then?

i dont think so tbh

[brisk hare]

wdym by next question

[restive river]

wolfram alpha says x=4 -or+ sqrt{26}

[restive river]

theres 2 questions thats pretty much the same

[brisk hare]

could u show the question

[restive river]

the one we just did was 2x(x-3)=18 and the other one is 2x(x-8)=20

alright 1 sec

q 5 and 6

.rotate

[restive river]

here for q 5

[brisk hare]

whats the answer for 6 given in book

[restive river]

20 and 2

[brisk hare]

howwwwww

[restive river]

lol

[brisk hare]

both have misprint

move on

do close

[restive river]

i mean my answers are one is halved and another is the wrong sign

[restive river]

u sure

[brisk hare]

yep

[restive river]

for 7 then?

its the same pretty much

[brisk hare]

whats the answer for 7 thats given

[restive river]

6 and 5

[brisk hare]

it should be 6 and -5

u should discuss this with your teacher

[restive river]

its my own math book

maybe we should have a 3rd opinion

also the book is manufactured by cambridge

[brisk hare]

u should search for online solutions and check from there

[restive river]

okay

this is not helping.

ive gotten that answer from like 10 sites

[brisk hare]

are u multiplying the area by 2 or not

[restive river]

what

no why

its a triangle if any thing

but we dont care about area only about length and base

oh you mean

...

nope

doesent work

yeah got no clue

[devout snow]

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[heavy sail]

Help

[heavy sail]

Can someone help me with this

[heavy sail]

I solved it to this but get tan 270s and I can’t solve it from there

[haughty cloak]

,rotate

[devout snow]

@heavy sail Has your question been resolved?

[heavy sail]

<@&286206848099549185>

[devout snow]

@heavy sail Has your question been resolved?

[dry flume]

cot[(3π/2)-x]=tanx

[devout snow]

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[supple knot]

use the definition of logarithm

[gaunt matrix]

yes

multiply both sides by (t-1) to start

you should get t = (t-1)e^2, and so t = e^2t - e^2

now bring everything which involves t on one side, and the constant on the other side

[pale bolt]

missed a negative

[gaunt matrix]

yes

dont forget the negative

answer should be t = -e^2/(1-e^2)

or t = e^2/(e^2-1) both are equivalent

[vapid nest]

Factored out the negative on the denominator

[gaunt matrix]

just multiply top and bottom by -1

[devout snow]

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[scarlet sequoia]

It looks nicely, you know how to deal with LaTeX well haha

[rapid spire]

thanks 😭

is it correct?

im learning latex still

started last month

[scarlet sequoia]

seems so

[rapid spire]

nice

thanks

.close

[devout snow]

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[scarlet sequoia]

you forgot the parenthesis here

[rapid spire]

oh true

ty for spotting that

[devout snow]

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[lofty monolith]

I don’t get why they’ve found DetB1 like that

[upper schooner]

Expanded it across the last column

[lofty monolith]

Wow i would have not seen that thanks

But why have they used the last column

Does it have to be done that way

I thought u can pick any row or column with a zero and expand it across that

[upper schooner]

Assumedly they thought it would be less pain, you can pick any row or column that you'd like, though I guess the second column would have been alright as well

[lofty monolith]

Ah i see, so whatever method u choose it’ll give the same determinant?

[upper schooner]

It would, if you do all the steps right (of course as per above, some are more error prone than others!)

[lofty monolith]

Oh ok calm

Thanks so much

[upper schooner]

All good

[lofty monolith]

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[celest ivy]

In an equilateral triangle ABC there is a point P in its inner region, if the angle of PAC= x, the angle of PCA=2x and the angle of CBP=3x, what is the value of x?

[celest ivy]

just got it, is it 6? can someone confirm it

[winter patrol]

can you show your work

[celest ivy]

,rotate

[celest ivy]

sorry if you don't understand quite well, but by an inscribable quadrilateral you can equal 30-x with 4x so you get 5x equals 30, and thus equals 6, but I don't know if there is something I'm missing because there is no option for 6 in the problem

[manic onyx]

nice handwriting

i think you overcomplicated a lot

[celest ivy]

you think so?

[manic onyx]

ya

[celest ivy]

if so, there is another method to solve it?

can you show me, cause it took me a while to solve it with congruence

[manic onyx]

you know the ABC is equilateral

so as you said

if you add a point P

all forming triangles are congruent

[celest ivy]

the point p is not a barycenter

you can't assume that

[manic onyx]

you can

[celest ivy]

No you cant

[manic onyx]

because the triangle is equilateral

[celest ivy]

The triangle is equlateral

yes

But the point is in its region

anywhere

not in the barycenter exactly

[manic onyx]

true

[celest ivy]

and there are angles that are 3x, 2x and x that make the point P be in a place inside the triangle

thus not making it necessarily the barycenter

assuming that is the barycenter would make pointless giving the angles

well, that is what I think

[manic onyx]

i was dumb sorry

you are completely right

[celest ivy]

don't worry, I thought about that too while solving the problem lol

[manic onyx]

i think i got it

[celest ivy]

is there another way?

[manic onyx]

the question didnt say: there is a point anywhere in its inner region

the question said: there is a point in its inner region

lets assume the first state first

as it's more generalized

if it's anywhere, the points would not be congruent

[celest ivy]

yeah, that is true

[manic onyx]

if P is in the center, all angles would be equally distributed

[celest ivy]

well, that is if it were :/

[manic onyx]

yeah, but could not be the case also because PAC, PCA and CBP are declared different in the question

[celest ivy]

yeah, that is also said in the question

[manic onyx]

so, based on this, we already know that not all the positions matches the criteria

ig

if we move P to A, then angles PAC and PCA would increase

meaning it cant be, because x cant increase inverselly to PCB,

it would be PAC ^^^ PCA ^^ PCB ^

and the problem is the other way around

but it doesnt matter

what matter is

[celest ivy]

its just another point of view, yes

[manic onyx]

there is a point, a unique solution, that matches the question

its not anywhere

so the calculus have to be made based on the angles

not on the point

[celest ivy]

yeah, because the problem says the angles are in A B and C, not in the point itself

[manic onyx]

the only condition where it is true is when P is the incenter

[celest ivy]

why?

[manic onyx]

because all the angles will intersect at P

which means that they turn into 'external angles', that sum into 360

x + 2x + 3x = 360

x = 60

and if P is not the incenter

[celest ivy]

um

[manic onyx]

PAC would be greater than 60 degrees

and x would increase

desistabilizing

the thing

[celest ivy]

P wouldn't be the incenter

because there arent any bisectors there

the incenter is the meeting point of the bisectors of the angles in the triangle

[manic onyx]

yes

[celest ivy]

which P isn't

[manic onyx]

why

[celest ivy]

because the problem doesn't say so

we can't assume that

[manic onyx]

it's inside the triangle

and it's the only solution

[celest ivy]

no its not

because if you say that it could be the incenter

by just saying so that is inside the triangle

then it could be the circumcenter

or other points that are known

[manic onyx]

it cant be

[celest ivy]

Lets just keep the problem as a rule and just don't assume anything, because if we assume then we don't have a real proof (by demonstration) that something is something if the problem doesn't say so

here I did the graph a bit better

[manic onyx]

but you agree that the incenter works?

just you dont think its the only solution?

it lacks proof

in this aspect i kinda agree

[celest ivy]

Incenter wont work because if x equals 60, and 3x equals 180, meaning it cant be inside the triangle

,rotate

[celest ivy]

see 3x there?

it cant be 60 :/

(sorry btw, I couldn't graph 3x according to 2x, 3x is a bit smaller, but you get the point)

[manic onyx]

but the angles arent inside the triangle

they are external angles

[celest ivy]

you cant say that these angles are outside if the problem itself says that they are inside

that would be contradictory to the problem statement

[celest ivy]

which is:

[manic onyx]

i just checked they are all inside the triangle

lol

and i'm blatantly wrong

[celest ivy]

yeah 😅

[manic onyx]

now i'm doing with paper and pen instead of eyeballing it

it's way harder than i thought

you already did the calc for all the P angles didnt you?

[celest ivy]

Yes I did

but if x equals 6, then there is no option for 6 in the problem

like, a)20 b)15 c)12 d)4 e)8

got something?

[manic onyx]

i got the 15 but i'm pretty sure it's wrong

i'll remake

because i tried with another inner triangle and the results didnt match

[celest ivy]

I also tried 15, but the lower ones seem to be more matching than higher than 10

but even so, there is no other way getting around those numbers

[manic onyx]

are you certain you got the problem right? 💀

like the angles and everything

[celest ivy]

I have it on paper here

its printed

[manic onyx]

omg

it doesnt seem that hard

[celest ivy]

so, there is no way I got it wrong lol

[manic onyx]

why it doesnt work

[celest ivy]

it doesn't seem hard

but it doesn't mean it isnt

[manic onyx]

it's 20

oh my fucking god

[celest ivy]

why though?

[manic onyx]

i dont know where my cellphone is to take a pic

1 sec

[celest ivy]

if you don't have it could you describe it please

[manic onyx]

i think i got it wrong again

in the 20

i found it

[celest ivy]

welp

[manic onyx]

because the P would be in the edge of the A-B

and theres no way PAC

would be 20 degrees

[celest ivy]

yeah, the graph would be almost absurd

[manic onyx]

yes

the calcs got everything fine

but i'm looking for where all went wrong

[celest ivy]

but

what is your procedure

[manic onyx]

i'm just doing like you

i'm getting the values for a, inv a, b, inv b, c, inv c

all ps

but im treating the P as y

so when we sum up to 180

i finish with ax+by=?

and i do a system

i tried doing P'

and other stuff

but i dont see

where it applies

to this problem

it justs seems so simple

but it doesnt work

[celest ivy]

yes, it seems so

but it's so complex when you try to

what about trying to draw equilateral triangles so you can get congruence?

[manic onyx]

like you did with these triangles?

[celest ivy]

yes

at the end, we need to use what the problem says, and it says abc is equilateral

so we can put 60-x, 60-2x and 60-3x at the other side of the angle so it sums 60

[manic onyx]

i dont know, an idea that came to mind

i have to sleep i have exams tomorrow

but cant you use law of sines?

and discover the angles based of the arcsin?

[celest ivy]

Nope, it has nothing to do with areas

[manic onyx]

but the lengths of the side are the same

[celest ivy]

and it doesn't seem to have anything to do with known triangles like 37/53

[manic onyx]

it'd be 1/sinA = 1/sinB = 1/sinC

[celest ivy]

even so

wait

I think we could use that

but at the end we would end up getting 6 again I think

cause

wait

yeah

it would end up getting 6 again

[manic onyx]

6 again?

[celest ivy]

yes

I remember doing it with a friend last time

with trigonometry and we got root5 something

and a known triangle

but it ended up being 6 again

yeah we got 18/72

sin3x equals (squared root5-1)/4

[manic onyx]

are you sure this d is 60?

[celest ivy]

let me see

[manic onyx]

because u can law of sines with 2x

and equalize it

no wait you can?

i think you cant

[celest ivy]

yes im pretty sure it is 60

[celest ivy]

I don't think you can

[manic onyx]

i forgor the big slicing line right there

[celest ivy]

ok so

this is the original graph

I found my pen somewhere so I drew this

if we fill angles

we get this am I right

[manic onyx]

yes

[celest ivy]

ok

so here

I drew a parallel to AC

like this

by those 2 lines I say that is parallel

and I make it equal to 2x

so both sides are equal too

get it?

[manic onyx]

yes i'm following

but i1m really sleepy

[celest ivy]

well, I guess we could call it a day and see if someone else tries, I don't want to interfere if you are sleepy and your exams are tomorrow too

[manic onyx]

just finish your train of thought

[celest ivy]

ok

here we get a congruence by 60-2x

You can see the line and the dot are with 60-2x

so the third angle must be 3x by congruence

thus making the triangle inside an isoceles

[manic onyx]

bro this is turning into art fr

[celest ivy]

lmao

I know

[manic onyx]

what is this

[celest ivy]

I'm going to explain

We draw an equilateral by the angle A

we know that the angle A has a 60-2x

so after we drawn an equilaterall over there, we can say there is an angle 2x because if we add 2x with 60-2x we get 60

the 3 sides are equal, due to congruence

so we draw again a triangle AEB congruent to APC

so we can say that the angle at EAB is 2x and EBA equals x

with that we can now work with something

now here

We drew a line at EP

Why?, so we can say that the triangle EPA has a circumcenter (I know it doesn't seem so) and it's the point F

[manic onyx]

why is it on f already

[celest ivy]

i forgor D

anyways

EFP is an isoceles

so we have two angles that are equal, I called them beta

oh and

the angle at APF is x, why? because FP is parallel to AC

so x goes to FPA too

[manic onyx]

what are you studying rn

i dont know how to phrase it

[celest ivy]

I'm still at school

its just geometry

[manic onyx]

but where are you in the grind

[celest ivy]

most of the problems are like these so, I'm worried if I got it wrong

[manic onyx]

bro where do you live

me people aint like that

we dumb

[celest ivy]

ok here, I erased F because it just wouldn't be readable

I called y the angle at EFP

we have y that equals 120+2x

and the angle at BPF equals 6x-60

because of the equilateral triangle ABC

so if we sum the angles EBP and EFP we see that

wait I forgot a step

I say to sum those angles because

EBPF is a quadrilateral

so, by adding those angles, we have that 120+2x plus 60-2x

equals 180

surprise, it is complementary, so EBPF is inscriptible

Now we need to find beta

so we can do beta=4x

[manic onyx]

bro if your teacher wants your proof for every question like this

he's a real menace

[celest ivy]

its just homework, he just wants the graph and some basic questions lol

[manic onyx]

what is the graph

in my country we just send it checklisted and it's good enough for them

[celest ivy]

we find beta by using the y we found before, 120+2x plus 2beta equals 180 and we find that beta equals 30-x

[celest ivy]

wow, really?

[manic onyx]

in these questions i usually try the answers to see which work because we dumb

[manic onyx]

ya

[celest ivy]

30-x equals 4x so x equals 6

and that is why I say that there is no option for x in my paper sheet

[celest ivy]

that would be really helpful for me lol

[manic onyx]

you could write an article about this and expect a counterarticle

[manic onyx]

our education aint that good either lol

so it sums up

but it's really impressive bro

u know a lot of stuff

[celest ivy]

it isn't like that

In our school teachers like to hand us these problems

so I just got worried because there wasn't option

anyways, I think it's ok the procedure right?

[manic onyx]

i think so

you'd definetily make your teacher proud

[celest ivy]

Not really though

[manic onyx]

in my high school there was these challenge problems but it wasnt nearly like that

just involved some researching and applying some formulas

this is good

[celest ivy]

well, Its one of the 40 problems they handed us

Im halfway through

[manic onyx]

omg

[celest ivy]

so, I need to finish for tomorrow and I was just worried about this and coulnd't go for other problems lol

[manic onyx]

if i were you i'd leave it as it is

it's not right but it shows you have the knowledge

it's better to solve the rest

[celest ivy]

Well, I guess I'll do so, but I think you are right in something, it's kind of overcomplicated

[manic onyx]

yes it most definitely is

[celest ivy]

anyways

I just gotta do the rest

[manic onyx]

and i gotta sleep lol

[celest ivy]

maybe it's different because Im at school

[manic onyx]

sorry i wasnt yours biggest of helps

i dumb

[celest ivy]

don't worry, its just something that bothered me and maybe doing the procedure again made me a bit more confident about it

[manic onyx]

its just the world

i was supposed to study the same thing when i was at school

instead i learnt not even the basics from them

only in the first year of undergrad i realized and had to catch up

[celest ivy]

I'm at south america so, I need to practice like this for the exams to be approved and sent into uni, not having money is a problem

[manic onyx]

me too lmao

[celest ivy]

it really seems like a struggle

[manic onyx]

where are you from

[celest ivy]

Peru

[manic onyx]

brazil

[celest ivy]

not too far huh

[manic onyx]

yea

[celest ivy]

Im really trying to get into first places though, so maybe a bit more effort will do

[manic onyx]

here is the same, but the exams is 'easy'

basic questions

it's just exhausting

[manic onyx]

good luck for you!!!!

[celest ivy]

most of the problems at the exam for the uni (to be inside the uni and accepted) are like that one

so i need to familiarize with them

[manic onyx]

i almost went to argentina from these first places

i got first 2x from an astrophysics comp from brazil

it's really worth to put effort into these

opens a lot of doors

[celest ivy]

must be like that

[manic onyx]

the uni i'm at today is possible because of this

[celest ivy]

that seems like a great achievement

[manic onyx]

it is

skips a lot of steps

studying things you dont need

[celest ivy]

I'm at the last grade of school so, I don't have too much time to practice these subjects

I wasted too much time before

[manic onyx]

it's mostly heavy practice

brazilians here spend as much as 5 years just studying to get into med

[celest ivy]

here it's almost 8-10 years depending on the uni

[manic onyx]

heavy lifting everywhere innit

[celest ivy]

just like that, even so, if you want to get into med you need first places (national uni)

and to compete with almost 4000 people prepared

is tough

[manic onyx]

really seems to be

[celest ivy]

anyways, I'm not going to med, I'm going to engineering

[manic onyx]

which one?

[celest ivy]

systems or informatic

[manic onyx]

cool

[celest ivy]

really demanded career

[manic onyx]

i do computational mathematics lol

no one does this

so it's easy for me

[celest ivy]

wow, similar to pure maths?

[manic onyx]

in the beginning yes

but as you progress

it starts being mostly applications of the math

in the computer

its called numerical analysis in fancy terms

but it's just basicaly coding math

i'd really like to enter in computational physics

but i didnt pass :(

[celest ivy]

well, it seems like subjects and careers there are similar to here

although we don't have computational mathemathics

[manic onyx]

i used to do computer science

but i quit

lol

too boring

[celest ivy]

it must have been lol

but by now I'm just doing this to enter to the uni

I don't know why, but they needed to separate the entrance exams (to be accepted into uni) in 3

[manic onyx]

in brazil they'll do that too

in 4 years from now i think

[celest ivy]

really? what a mess, I think that one exam could do the thing and 2 is more than enough

[manic onyx]

eh specifically here i think it's better

because the education here is a mess

and the exam is 180 questions that divided in 2 that 10% can do well

[celest ivy]

seems like a good idea there

[manic onyx]

0.1% well enough to enter in public uni

[manic onyx]

do you already have specialized high school?

like u can choose your subjects and stuff

they will add this thing too

[celest ivy]

Yes, I'm at one

[manic onyx]

and THIS i hate

omg

[celest ivy]

but I don't choose my subjects

they choose it for me depending on the public uni I go

In my country this is the only uni that has prestige enough to be called the uni every engineer needs to go to be a "real engineer" and is the only one that does this with the exams

[manic onyx]

in brazil they will allow you to substitute subjects that you dont like to more in depth ones

the dumbs will get more dumber

because you can substitute like high school math for like

arts

wtf is this

i mean not entirely substitute

but 50% of it

gone for something useless

bullshit country

[celest ivy]

Lol, it seems similar here

Public schools are something really different to a private one

They have religion, arts, dancing, and these subjects that don't really add something to your academic knowledge

[manic onyx]

here you can do well enough if you go to a public uni, a private one hmmmmmmmmmmmmmm it's tougher

but there's one public uni that if you enter

your life is like

DONE

you can rest

[celest ivy]

yeah, I heard about that uni here

I wish we could have something like that

[manic onyx]

usp yeah?

[celest ivy]

yep

[manic onyx]

it's on another level

but it's like

insane to enter there

on 180 you have to get 160 right minimum to get in a competent course

and there are impossible questions

[celest ivy]

In here it's completely the opposite lmao

[celest ivy]

woah, here our final result is by 180 too but you need at least 90 to enter to a career and 145 to enter to a decent one

[manic onyx]

same to here more or less

maybe 90 is a stretch

100

but its more or less the same

[celest ivy]

well, that is UNI (its called UNI the uni lmao) other unis are different, they just have 100 questions and you just enter if you do 50% or more

[manic onyx]

are the questions hard?

like this aberration you showed me

[celest ivy]

due to the exam being 3 hours, and 3 exams being separated into 100 40 and 40 questions

first one being general knowledge (Mathematical reasoning, reading, history, etc) and the other 2 being maths and science

3 hours for 40 questions

it says by itself how hard each one is

[manic onyx]

yeah

in the other end of the spectrum

here it's 5 hours

[celest ivy]

for the whole 180?

[manic onyx]

no

splitted in 2 days

first day 90 questions + essay

but these 90 questions

are language and social

the texts are HUGE

and you have 2m30s to answer

2nd day

science and math

more 5 hours

3min question

the questions are not hard

but they are long

like

compare these 5 products

and tell which one is the more profitable

2 you can discard

but the other 3 you have to make a lot of calc

and its 2% margin

at max

[celest ivy]

they must be to choose an option right?

[manic onyx]

its just tiddiest

[manic onyx]

yes

its not hard, we dumb

i just wish we had a little bit more difficult questions

and a little bit more time to answer

because this doesnt select the more intelligent

it selects the one who did more of this shit

[celest ivy]

so they have a preference for social and reading subjects like literature and others?

[manic onyx]

not preference

by faaaaar you gain the most points out of math and essay

the way i put it

they have a preference over quantity

over difficulty

the more questions you can pull off

before burning out

the better

[celest ivy]

woah, here they do more difficult questions that each time are new ones, I think that one time it came about universal gravitation

[manic onyx]

for perspective, the exam of the first day this year had 20 pages

plus a essay

that u had to manage to do in 5 hours

[manic onyx]

30 lines

[celest ivy]

demonstrating the earth's gravitation and with that calculating how long will an object fall on another planet with x gravitation relative to the earth's one, i dont remember quite well

[celest ivy]

must be tough to be 5 hours into something constantly

[manic onyx]

it is

you burn out in 3

the last 2 is just automatic

[celest ivy]

what a nightmare

by now Im studying at school and an "academy" they call it here, you prepare yourself there so you can do well in the exam

[manic onyx]

that's cool

i prefer this over what we have in there

the physics question we use the same formulas

but like

we have to just plug it there

but the numbers are like

7,14

5,6

3,46

these type of numbers

and u have to nail it

in under 3min

its really stressful

[celest ivy]

thank god ours has rounded numbers

[manic onyx]

only pi here is rounded

[celest ivy]

lmao

[manic onyx]

yea

lmao

[celest ivy]

tbh, in our exam, the hardest subject is just geometry

[manic onyx]

i really felt it

[celest ivy]

that is why I put some effort into it

[celest ivy]

yeah lol

no joke, there are questions harder than the one I showed

And they expect you to do that in less than 5 min

[manic onyx]

omg

math here is kinda weird

mostly is kinda fine

like

automatic mode

repeat

but from nothing there is an impossible question

about recursion

or idk planification of 4d objects

its like that

[celest ivy]

woah, even I haven't seen that ever in the exams

[manic onyx]

these insanely hard questions are generally about logic

so they dont need you do understand the topic

they want that you figure it out

but i'll not figure this bullshit in 3min

fuck you

[celest ivy]

true

in exams you are rushing with time, there is basically no time to loose at even the easiest question

[manic onyx]

yes

i made it 2 times, i get insanely frustrated because i feel there is like a clock in my head

like speedrunning

specially in math

and i feel the time is going to end at any moment

i dont like these

[celest ivy]

timing questions while doing calculations is just a mess

[manic onyx]

i dont time it, i generally feel that i wasted a bunch of time yk?

like when you got stuck doing multis thinking

[celest ivy]

yes

[manic onyx]

this stresses me out so much

[celest ivy]

20 seconds feel like 1 min

[manic onyx]

yessss

exactly

i hate it

[celest ivy]

the more seconds pass the more you feel like you are wasting

right now Im doing this school and the preparation so I hope this helps me with the speed

[manic onyx]

preparation is rlly good

gets you ahead of a lot of people

[celest ivy]

do you ever feel like you have your day full?