Ant

[oblique kelp]

@oblique kelp let’s do the q in this channel bc

,rotate

[oblique kelp]

i can help u with the first part

@oblique kelp COME BACK 🤧

[oblique kelp]

HI

hello ok

what have u done

i’m trying this too

i’ve drawn out the like sides yh

and if i break it into triangles

can i find the lengths?

r u doing it on paper send a pic

ok one sec

@oblique kelp i have no clue if this even makes sense tho

i see what you’ve done but i think u drew the first triangles wrong so it’s confused u , i did it like this

i did a straight line and then another one equal in length just 30 degrees lower

and again and again

ohhhhh

yh i see what u did

and then i made little triangle with the sides

and then i labelled the angles

[oblique kelp]

what would u do after that tho

i’m thinking phythagoras

with the side 3+root3

and we make a new triangle like this

to find the displacement

[oblique kelp]

yeah but how is that linked to the triangles

basically u know the yellow side can be found by adding the yellow sides of the amal triangles

also i need to do my geo hw that’s due tmr so i’ll be back in a bit

come back tho don’t go missing

i’ll try this q myself then 😒

@somber sparrow

[somber sparrow]

oh yes i put in an extra x

[oblique kelp]

doubt it’s got anything to do with interior angles

i formed a triangle

And now i’m trying pythagoras

[somber sparrow]

hmmmm this shape is strange... 5 sides, so 540

540-180

360 =2 angles

[oblique kelp]

do u have the q in front of u

[somber sparrow]

nah

[oblique kelp]

ill@send

[somber sparrow]

doesit have a diagram

😭

[oblique kelp]

no

but if u visualise

it’ll help

,rotate

[oblique kelp]

why don’t u make little triangles like me and see where u end up

[somber sparrow]

ohh i see

yeah im crazy

[somber sparrow]

ill just work off your pic

ah i have an idea

so if u extend the bottom right corner of the 2 small triangles u drew so that it touches the line of displacement

aka the line thats 3(root3)

then the hypotenuse of the new triangle forrmed is ON THE LINE of the 3 root 3

u get me?

u want kme to deraw it?

[oblique kelp]

yes

[somber sparrow]

ok

hmmmm

nvm i think im wrong

i was intending something like this

but then u dont know the angle

[oblique kelp]

oh rigjt

i see what u tryna do

why don’t we do pythagoras wit the big triangle i made

[somber sparrow]

how does that help

ohh

[oblique kelp]

so we can find displacement

[somber sparrow]

is there a way to get these 2 red cross angles btw?

[somber sparrow]

yeahh if we can find the vertical and horizontal component

like ifwe just consider the folloiwng shape:

the dark blue

[oblique kelp]

the displacement is just from start to finish

[somber sparrow]

yes

but to get the following a and b

we need to find the dark blue shape height and width i think

the horizontal is y+ xcos60

[oblique kelp]

we can find c

[somber sparrow]

the veritcal ix xsin30 + xsin60

[oblique kelp]

wait i got an idea

u know the triangles we made we can add all the lengths to make one side of the triangle

vertical side and horizontal side

[midnight otter]

ur really still doing this

[oblique kelp]

shush

[somber sparrow]

so the vertical component is xsin90=xcos30 (or however u remember it)=x(root3/2)

[oblique kelp]

it’s a rlly hard question so i wanna try it

[somber sparrow]

ye thats what im saying

thats what i mean by horizontal and vertical component

[somber sparrow]

this is the vertical

x(root3/2)

[midnight otter]

i didnt say anything ages ago cuz ud bascially alr done it...

[somber sparrow]

horizontal is xcos60+y labelled here

[oblique kelp]

horizontal side we can add xcos60 + xcos30 + x

[somber sparrow]

y=xcos30? because its a rectangle?

yeah

[oblique kelp]

i’m stuck icl

vertical is xsin60 plus xsin30 plus x ??

[somber sparrow]

cos90 = 0 though right??

[somber sparrow]

yeah

so x by x

[oblique kelp]

why u made a blue triangle

[somber sparrow]

noit this

[midnight otter]

then ||get vertical height in terms of x||
then just ||pythagoras to solve for x||

[somber sparrow]

its not a triangle, dw about it , it was me trying to show how to get unknown valuesto get horizontal and vetical component

[somber sparrow]

ye we done that - it was about realising it

tbh i wouldve never though ab the big triangle

big brain for that

[oblique kelp]

icl idk what i’ve done

[midnight otter]

yes this is right

[somber sparrow]

how? isnt th ehorizontal just x

its xcos60+xcos30+x

=xcos90+x

[midnight otter]

wut

[somber sparrow]

=x(0)+x

=x

[midnight otter]

u cant add cos like that

[somber sparrow]

the horizontal component

ahhhh

makes sense

[oblique kelp]

i got an answer

tell me when uve done it

[oblique kelp]

this what i did idk tho

these numbers r so hard to do pythagoras with

[somber sparrow]

if u did pythagoras right then its correct. i didnt actually owrk it out

x=2, dimension cannot be negative

magnitude*

[oblique kelp]

u mean root 2

[somber sparrow]

yes

[oblique kelp]

positive

then there’s another part of the q

,rotate

[somber sparrow]

oh

[oblique kelp]

the one i discarded was negative so ima say it’s the ant going backwards but i’m guessing

but i may be off

[somber sparrow]

yeah... that sounds right... that the ant could have done it all but reflected

[midnight otter]

an ant cant walk -2cm

[somber sparrow]

ye

[oblique kelp]

so what do u think the answer is then

[somber sparrow]

so 'what is meant by the solution'?

[midnight otter]

idk thats words

cant do thos

e

[oblique kelp]

if i ever saw that id jsut skip icl

[somber sparrow]

i assume mscheme costs money? @oblique kelp

[midnight otter]

just say it going backwards

[somber sparrow]

but i agree with u - it cant.... x is a distance, not a vector quantity (i.e. it is a magnitude)

[oblique kelp]

this was from my school so i’ll ask my teacher

[oblique kelp]

i’m finished

oml

that hw dragged out

[oblique kelp]

U CAME JUST NOW

😭

it’s fine u can see how you would have done the q if you tried it

[somber sparrow]

hardest part imo is deciding to draw the large right angle triangle

[oblique kelp]

u think?

i cba to do maths anymore

[oblique kelp]

it’s ok there’s always tmrw

[somber sparrow]

what do u think it is?

[oblique kelp]

these questions are too much

can u send another tmr tho

[oblique kelp]

the hardest thing for me was forming the diagram correctly and funding the lengths of the small triangles and knowing to add them up

[oblique kelp]

ok

[somber sparrow]

ah

tbf

i agree

bcs i got the angles wrong

like i thought the interiors were 30 at first...

and i wouldnt have thought to write these pencil angles (30 60 90)

[oblique kelp]

yeah u started tryna make it interior angles 😭

[somber sparrow]

i wuld have just written it as 30 each time with a different normal

[oblique kelp]

for me it just came to mind

[oblique kelp]

wtf how

[somber sparrow]

?

[oblique kelp]

i don’t get the angles

[somber sparrow]

sooo

[midnight otter]

just so natural at maths 😍

[somber sparrow]

u turn 30 degrewes each time, so 30 adds each time

so 30 60 90

and the reason it isnt 30 each time

is because the normal (the daughbted nine) is in the same direction

[oblique kelp]

what

[somber sparrow]

so the tilt (direction of ant) is getting further and further away each time it rotates

[oblique kelp]

daughbted?

[midnight otter]

dotted

or dashed

[somber sparrow]

think of it this way

its 30+30

[oblique kelp]

oh yh

what’s there xcos30 there for

[somber sparrow]

thats the legnth

[oblique kelp]

oh trig

ok cool makes sense

[somber sparrow]

oui

oh no my apps have been exposed

[oblique kelp]

whats wrong with ur apps

[somber sparrow]

nothing they are awesome 😉 thats why i have them

[somber sparrow]

pls do lmk the answer to the worded part

[oblique kelp]

ok

the vector question in that booklet is crazy

[somber sparrow]

oooh

lemme see

[oblique kelp]

need atleast 2 hours to fully understand it

[oblique kelp]

usually i love vectors but these ones 💀

spent like 40 minutes on it last week and gave up

my teacher rlly tried to tell me ‘it’s doable with gcse knowledge’

[somber sparrow]

halp

[somber sparrow]

\

i used 2 routes: GA and HE

[oblique kelp]

do u wanna try the q fully?

it’s long tho

defo gonna take ages

[somber sparrow]

OHH i think i kno wwhat i did wrong

[oblique kelp]

haven’t done this q but i annotated the octagon

[somber sparrow]

i wrote 3b instead of 2b

[oblique kelp]

before i gave up

[oblique kelp]

oh i see

label HC as na bc it’s parallel to AB

and AB is a

[somber sparrow]

nope, doesnt change it....still got x=0

[oblique kelp]

that’s what i did first

[oblique kelp]

lol

wait make the line HC

[somber sparrow]

What are the 2 routes

that u used

[oblique kelp]

um wdym two routes

[somber sparrow]

like how i used GA and HE

[midnight otter]

real

so easy q

[oblique kelp]

didn’t u refuse to help me with it the other day

[midnight otter]

justified

its vectors

[oblique kelp]

vectors is the best maths topic

[midnight otter]

...

[oblique kelp]

i’m being fr

[somber sparrow]

no

[oblique kelp]

what’s so bad abt it

[somber sparrow]

https://tenor.com/view/no-way-dude-no-oh-bugs-bunny-bugs-gif-22941840

[midnight otter]

fr x-a1/b1 = y-a2/b2 = z-a3/b3 😍

[oblique kelp]

r u gonna help us with this q or

[midnight otter]

maybe

[somber sparrow]

tell me the 2 routes pls

[oblique kelp]

if not then go

[midnight otter]

id rather do that than revise for my physics test for tomorrow

[somber sparrow]

i did GA and HE

[oblique kelp]

physics 💀

idk why u do it for alevel but that’s u

[somber sparrow]

physics is w subject

like its just cool

how the universe works

[oblique kelp]

r u sure abt that

idk man electromagnetism is a disgusting topic

with all the generator effects and stuff

and motor effect

[somber sparrow]

ah so we are both on that atm lol

[midnight otter]

real

a level physics is cold

[somber sparrow]

anyways, help pls freesniper

[oblique kelp]

i don’t even understand it

[midnight otter]

ill try

im bad at maths so yk

[somber sparrow]

💀

[midnight otter]

cant promise anything

[somber sparrow]

ofc

[oblique kelp]

no we can do it ourselves

for now

[midnight otter]

actually tho

it just looks horrible

[midnight otter]

🥶

ill spoiler anything then

[oblique kelp]

ok

[somber sparrow]

do u agree

those are defo the 2 routes to use

X does not lie on any other lines

[oblique kelp]

i got GA is na -no

nb **

[somber sparrow]

= to what i said

[oblique kelp]

does it

oh yeah

[somber sparrow]

n(a-o) is proportional to n(2a-2o)

b

look what uve done to me lol

[oblique kelp]

how did u get that

i found GH and HA

[oblique kelp]

and added them

[somber sparrow]

see dotted lines

[oblique kelp]

yea

why do u love to make extra things in the diagram

[somber sparrow]

u drew a whole watermelon* rectangle last question

https://tenor.com/view/penguin-pg-police-gif-26402760

[oblique kelp]

😒

anyways what did u do

[somber sparrow]

uhh

GA = -2BC + 2AB=what i wrote

[oblique kelp]

ok

[somber sparrow]

or noo

i did it wrong

[oblique kelp]

shall i say what i did

[somber sparrow]

im assuming that the vertical component

of BC

magnitudally

[oblique kelp]

magnitudally💀

[somber sparrow]

is = to the vertical component of CD

if u get me

[oblique kelp]

what u mean by that

[somber sparrow]

idk if it is a word, but u get what i mean

nvm just vertical component

idk why i said magnitudally

[oblique kelp]

hm ok

defo over complicating things

what i did was i made a line HC

labelled it na

bc it’s parallel to vector AB

[somber sparrow]

me making a mistake is goodnews

[oblique kelp]

labelled HE nb

[somber sparrow]

bcs u defo need to find GA and HE

[oblique kelp]

bc it’s parallel to GF

[oblique kelp]

yea i’m getting to that

[somber sparrow]

okk

[oblique kelp]

Wait icl idek if i should have made parallel lines

[somber sparrow]

can u write a perependicular line

as -1/(vector)

[oblique kelp]

think so

WAIT HG is

a+(1-n)b

nvm i mean GH

[somber sparrow]

do we start getting angles in there

[oblique kelp]

angles 💀

[somber sparrow]

every interior is 135 😉

[oblique kelp]

no angles needed

[somber sparrow]

probs u righyt

[oblique kelp]

we need to find HX

why u love to find interior angles so much like damn

[hallow oak]

what paper is rhis from??

[oblique kelp]

god knows my teacher gave it to me

i can send it to you

[oblique kelp]

lemme continue

let’s find HG and HA

too much maths today ffs

[somber sparrow]

aha

[oblique kelp]

WE GOT HC AND WE GOT HE bc their parallel ok

i made the line HC

and i labelled them na and nb bc their multiples

do u get that

i’m gonna reprint this question once sec so i can draw

[somber sparrow]

just peutting an idea outthere

we dont need to use their vectors

[hallow oak]

yes pls

[somber sparrow]

we can make our own vector quantities

if u get me?

. LETS SAY HG = a GF=b

fjkds;lkfjlsdfg

nvm

wed need 3 equations

which we dont have

@midnight otter help us get HE and GA please

HE=n(b) oui

[oblique kelp]

LEMME DRAW

AB = a

[somber sparrow]

is the vertical ccomponent of BC = vertical component of CD <@&791435371564892232>

this is the original

[somber sparrow]

dont use n for bothj

[oblique kelp]

i’m just using n to show its parallel

i got GH now

do u see how i got it

[somber sparrow]

if this is true then this question is a cake walk - except it cannot be true otherwise x=0 😩

[somber sparrow]

yes

OK

GOOD

WE CAN WORK WI TH THAt

[oblique kelp]

ok we can find HA the same way by adding the path

[somber sparrow]

HG=b(n-1)-a

Hence

HE= b(n)

Anddd

we a re back

to square 1

idk what i was expecting

lmao

[midnight otter]

this is funni

[somber sparrow]

oi

help

pls

😭

HE and GA

what are they

[oblique kelp]

trust the process

[midnight otter]

gcse photography

[oblique kelp]

💀

[midnight otter]

who knows 😉

[oblique kelp]

is what i’m doing right

[midnight otter]

maybe

[somber sparrow]

howd u get Ha???

[oblique kelp]

actually u probs don’t even know

[midnight otter]

fr

[somber sparrow]

oh i get it

brooo

[oblique kelp]

added AB BC and HC

[somber sparrow]

u cant use n

u reused n

[midnight otter]

u still have 3 variables and 2 equations

[somber sparrow]

i think he's just tryna compensate for the fact that he cant do this either

[oblique kelp]

i can use n

[somber sparrow]

brilliant mentor

[midnight otter]

real

[somber sparrow]

u cant use it twice

[oblique kelp]

why not

shall i use m or something then

[somber sparrow]

u dont know that x(AB)=HA

y(BC)=HE

u dont know that x=y

but thats what u stated

they are 2 separate fractions of the lines

[oblique kelp]

but how did i get GA the same as u then

bc i did my GH plus HA and i got na - nb

[somber sparrow]

whend i get GA

[oblique kelp]

oh u said

2a -2b something

and i said i got the same

[somber sparrow]

yeah thats wrong

thats when i was assuming that

the vertical component of the diagonal segment=vertical component of vertical segment... if u get me...

[oblique kelp]

BUT acc explain why i cannot use n twice

[somber sparrow]

.

[oblique kelp]

what’s the vector ur on about

[somber sparrow]

no vector just vertical component... like here, the diagonal dotted red is probably longer than BC is in reality

not probably - it is longer than BC is in reality

bcs since regular octagon

then same legnths

then because diagonal is at an angle

it wont cover the same vertical distance

u get me?

its like pythagoras

[oblique kelp]

no i don’t get u

[somber sparrow]

kindve an abstract link

[somber sparrow]

think of these 3 lines

as separate

the vertical component of the hypotenuse is only = to the vertical component of the a

because it is longer

if it were the same length then the vertical component would be less.

vertical component of c=a here.....

[midnight otter]

chaos boutta solve it all 😍

[somber sparrow]

if length of c = length of a.

then b would have a vertical compoonent (assuming a has no horizontal component)

[oblique kelp]

lemme use my parallel lines pls

also i get what ur saying

[somber sparrow]

... but.... you are reusing n....

[oblique kelp]

can i not use n for two separate parallel lines

[oblique kelp]

fr🥶

[somber sparrow]

the method itself is fine, but like sniper said, there are then 3 variables (assuming u do it correctly) - correctly being where you have 2 constants, n and (E.g.) m

[oblique kelp]

physics is horrible i’m not choosing it for a levels btw

n is just a placeholder for a multiple it can be anything

[midnight otter]

probably can cuz its regular

[oblique kelp]

like i don’t even use it

fr

is this even gcse

idek at this point

[midnight otter]

it wont come up

[oblique kelp]

who says

[midnight otter]

me

[oblique kelp]

how do you know

[midnight otter]

cuz im very smart

ok ill change it

if it does come up

(it wont)

nobody will get it right anyway

[somber sparrow]

thats not how u r using it though

[oblique kelp]

i can

[somber sparrow]

u r using it as a constant

bcs u r expanding it

[oblique kelp]

im@joking

well i want to be able to get it right😎

with time i’ll learn

[somber sparrow]

good night plebs i love yall

[oblique kelp]

see growth mindset

[midnight otter]

uve spent probably longer than an exam is trying so far 🥶

[oblique kelp]

no finish this q before u go

[oblique kelp]

that’s true but i wanna have the accomplishment of getting a hard vector question right

[somber sparrow]

ive summoned people from math discussion

now its just if anyone cba

[oblique kelp]

i beg someone look at this

[oblique kelp]

u should become an english nentor

[midnight otter]

ping mother nilo

hed love to do it

[oblique kelp]

no

[midnight otter]

why

[oblique kelp]

aired

L rizz

L

[oblique kelp]

why u think that

it is way better than maths i agree

[midnight otter]

😧

[somber sparrow]

@bitter bough halpp

actually

sorry for ping

just bcs he said to i shuldnt have

💀

[oblique kelp]

🥴no

[oblique kelp]

ur feedback was super helpful

english over maths any day

[oblique kelp]

that’s so nice to hear i’m glad

[bitter bough]

what is it

[oblique kelp]

how tf r u good at everything

[somber sparrow]

remember the original question

[somber sparrow]

Pls 😭

what is HE and GA

at first I thought the vertical component of BC = vertical component of CD

[oblique kelp]

also can u make parallel lines for this q

bc apparently i can’t 💀

[somber sparrow]

but that isnt right - if it was i end up with negative values of the constants

[somber sparrow]

not what i said

at all

[somber sparrow]

im saying that u cant use n for both expressions

[oblique kelp]

this is wat i’ve done

[bitter bough]

u can find n

[oblique kelp]

idek if HX is -GH + some amt of GA

[bitter bough]

with some trig

[somber sparrow]

once u get HE and GA

udo

x(HE)=y(GA)

equate coefficients of a and b to solve for x and y simultaneously

the hard part imo is getting HE and GA

[somber sparrow]

@oblique kelp ANGLES DUB

https://tenor.com/view/angles-laad-aesop-aesop-carl-idv-gif-21674068

interior is 135 all

[bitter bough]

if i can do mental maths, it should be that n=1 + sqrt(2)

[somber sparrow]

hmmmm remember the answer is an integer

[oblique kelp]

can u see if what i’ve done is right or have i done it all wrong

[somber sparrow]

nvm that shouldnt effect it

[oblique kelp]

.

[somber sparrow]

ignore what i said

[somber sparrow]

alright gn

sleep tight

dont let the bed bugs bite

dont close this pls

or send me explanation

[oblique kelp]

u need to see the other ways to do it (my way)

[bitter bough]

seems good

[oblique kelp]

so i can use na and nb for both parallel lines??

so i can use n for both of them

[bitter bough]

u can use n for both since the scalar is the same

u just rotated it

[oblique kelp]

@somber sparrow seeing this

wait how do u find. HX

[bitter bough]

k(HE)

[oblique kelp]

is it -GH and a some part of GA

[oblique kelp]

oh ok

[oblique kelp]

is this the right WO i tried to find k

or should i have called it a different letter

i’ll continue this another time it’s too long

i wrote working out for n twice oops

[somber sparrow]

Mb 💀

[somber sparrow]

💀

[somber sparrow]

HE=n(b)
GA=n(a)-n(b)

HX=x(n(b))
GX=y(n(a)-n(b))

GX=GH+HX

WHAT IS GH? <@&791435371564892232>

[somber sparrow]

GH=b+a+n(-b)

HX=x(n(b))
GHX=GX=b+a+n(-b)+x(n(b))

.**FROM THE 2 LINES ABOVE, **equating coefficients

xn=1-n+xn

so n=1...

that cannot be correct... what did i do wrong

<@&791435371564892232>

I suppose because i equated the 2 equations of HE

[somber sparrow]

@oblique kelp the ant thing part ii) might just be, the ant travels negative distance

its not a correct statement - this is why we disregarded it

so it sounds like a correct answer

[oblique kelp]

wait have u found the answer yet or u still stuck

[oblique kelp]

yeah i thought so

we can work from this since ik it’s right so far

[somber sparrow]

Will help when I can

[oblique kelp]

have u finished the q?

Ykw i’m gonna move on to a diff q im sick of vectors

[somber sparrow]

no, will try in approx 1 hr

[oblique kelp]

i’m doing it i changed my mind i nearly there tho

[somber sparrow]

soo

we need GA and HE

HE=n(BC)=n(b)
GA=GD+DA=n(AB)+n(-BC)=n(a)+n(-b)

HE=n(b)
GA=n(a-b)

HX=x(n(b))
GX=y(n(a-b))

HX=GX+GH

GH=GF+FE+EH=b+a-n(b)

HX+GH=y(n(a-b))+b+a-n(b)

HX=GX+GH

x(n(b))=y(n(a-b))+b+a-n(b)

HX= 0a+xn(b)
GX+GX (which is = to HX) = (yn+1)a (-yn+1-n)b

Hence, equating coefficients:

yn+1=0
-yn+1-n=xn

. **need a third equation in terms of x **

is it possible to get the answer just from this?

@oblique kelp

perhaps we can input that yn=-1 from the first equ into the second

-(-1)+1-n=xn

2-n=xn
xn+n=2
n(x+1)=2
n=2/(x+1)

[oblique kelp]

hello lemme read this

shall i send what i’ve done bc i’ve got an answer to the question it’s just maybe i’ve gone wrong somewhere

[somber sparrow]

HX=x(n(b))
HE=n(b)

[oblique kelp]

i’ve got some equations

[somber sparrow]

did u use the same constants

[oblique kelp]

i used n and y

[somber sparrow]

u need 3

[oblique kelp]

and x

oops i forgot to say

first i found n by using trig

which was root2 + 1

[somber sparrow]

this is the answer

once we get them

[oblique kelp]

the final ans?

[somber sparrow]

no

[oblique kelp]

oh

ok

i got hx is a yHE

a factor of HE

so HX is also ynb

[somber sparrow]

can u show me the methods? for this?

[oblique kelp]

ok i wrote it all out

if u want me to explain. why i didn’t some things tell me

[somber sparrow]

from my equations i got this

which cannot be correc

[oblique kelp]

i mean idk what i was doing but i think my method is right take a look

i got my y and my n

and i worked out what they both were

[somber sparrow]

if u got these values then u got the final answer

[oblique kelp]

can u write that out bc it’s confusing on text

if u don’t mind

[somber sparrow]

sure

[oblique kelp]

wait can u use the same variables as me

[somber sparrow]

what variables did u use?

I made hx=x(HE) and gx=y(GA)

and i used n the same a su

as u

[oblique kelp]

ok so i used y as a scalar amt for HX

wait

i made HX = y x nb
bc HX is obvs a part of the line nb and we wanna find that

damn i’m lost

[somber sparrow]

we need GA and HE

HE=n(BC)=n(b)
GA=GD+DA=n(AB)+n(-BC)=n(a)+n(-b)
HE=n(b)
GA=n(a-b)

HX=x(n(b))
GX=y(n(a-b))

HX=GX+GH

GH=GF+FE+EH=b+a-n(b)

HX+GH=y(n(a-b))+b+a-n(b)

HX=GX+GH

x(n(b))=y(n(a-b))+b+a-n(b)

HX= 0a+xn(b)
GX+GX (which is = to HX) = (yn+1)a (-yn+1-n)b

Hence, equating coefficients:

yn+1=0
-yn+1-n=xn

. need a third equation in terms of x

is it possible to get the answer just from this?

perhaps we can input that yn=-1 from the first equ into the second

-(-1)+1-n=xn

2-n=xn
xn+n=2
n(x+1)=2
n=2/(x+1)

1:(HE/HX) -1
1:(1/x)-1

upated method

1. we either need a third equation

<@&791435371564892232>

can a math mentor pls go over my method

see if its all valid

There's no way that last line is correct, but algebraically i see no error

(1/x)-1 is not an integer

[oblique kelp]

first let’s find HX by using the lines
,rotate

,rotate

[oblique kelp]

do u get this part

bc i feel like we’re doing it in very different ways

[somber sparrow]

hmmm

yeah i agree

makes sense

i wrote that somewhere

[oblique kelp]

ok now we can make equations

[midnight otter]

💀

i respect the grind

[oblique kelp]

i been stressing over this q for so long

😭😭

[somber sparrow]

help. or tell us that you dont know how.

[midnight otter]

i told you im bad at maths

didnt nilo do it already

[oblique kelp]

i still haven’t actually done the ant one yet💀

soo HX = y x HE
and HX = nb
so now i can say that the amt of a’s in xn-1 is 0 so we can say xn -1=0. ??

[oblique kelp]

no he did some of it and dipped

[midnight otter]

didnt he tell you n

[oblique kelp]

yeah

[midnight otter]

i thought it was easy from there

[oblique kelp]

no way look at the q there’s so many things we need to find apart from n

we gotta find k and y

[midnight otter]

whats y

[oblique kelp]

i got 3-2root2

but i’m tryna understand if what i did to get y is even right

[midnight otter]

do you have HG and HA

[oblique kelp]

we got HA

(n-1) a-b

can’t we find GH not HG

cause we want GA

[midnight otter]

if u can find GH you can find HG

cuz GH = -HG

[oblique kelp]

i got GH

a+(1-n)b

so HG is just neg of that

[midnight otter]

yes

then since you have n its easy from there right

cuz u just have two lines through x

[oblique kelp]

i found y

so i know k = HX / XE

wait

this what i did idk

[midnight otter]

im not reading that icl

[oblique kelp]

😒 just see how i got y

i just made some equations but idk abt it

[midnight otter]

no thanks

u said u have HA and HG right

so just

[oblique kelp]

yeah

[midnight otter]

compare coefficients then u have lambda and mu

[oblique kelp]

lambda what

[oblique kelp]

can i not do HX = HG + fGA

[midnight otter]

yes thats the second line

if u have GA u dont have to do the simplifying that i was doing

i just went off you having only HA and HG

[oblique kelp]

if i wanna do the path HG and fGA shall i just add them up and i’ll get (fn-1)a and (fn-n-1)b or nah

also is lampda supposed to be used in maths

[midnight otter]

its used a lot in vectors

[midnight otter]

yes

u have the identity in the 3rd line of what i have done

so you simplify everything to be some multiple of a and some multiple of b

then you compare things

and get simultaneous eqs

[oblique kelp]

i got fn-1=0 😭 and i can rearrange to get fn=1??

[midnight otter]

tell me what uve got for HE, HG, GA, and n

ill work it out

[midnight otter]

ur trying to find f

u said u have n so thats means u have f

so you can work out hx

[oblique kelp]

for HE i got nb

for GA i got na- nb

for HG i got -a - (n-1) b

for n i got root2+1

and then i got k = HX / XE

i know HX = yn

actually idk

i got 3-2root2 for y

so if ik that HX = yn i just do 3-root2 x root2 + 1

[midnight otter]

i have hx = -nb

[oblique kelp]

how did u get that

[oblique kelp]

i just got HX = n x nb

oh i get it so is that ur final answer?

cause i got smthing diff

also we gotta find K

so do we do HX / XE

@somber sparrow did u get somewhere

[midnight otter]

thats just hx

u need to find the other thing in the ratio

[oblique kelp]

did u get y

[midnight otter]

whats with you and adding variables

what is y

[oblique kelp]

nah the way i’m doing it makes so much sense then using lampda

oh y is something i made

look at what i sent earlier if u wanna understand but u said i’m not reading all that

[midnight otter]

i want to kms rn cuz of this q

yh im not

so

have fun

[oblique kelp]

i got a final answer just do the q and tell me if it’s the same

if u can be asked took me days to do this

[midnight otter]

no thanks

[oblique kelp]

why i thought u like to do maths

[midnight otter]

this doesnt count

[oblique kelp]

why cause it’s vectors

[midnight otter]

exactly

[oblique kelp]

this is can be done with gcse level skills yk

[midnight otter]

so can most things

[oblique kelp]

nah bc some things have alevel topics

what’s lampda units for again

anyways i got K = root2 - 2 / 2

[midnight otter]

lambda

[oblique kelp]

why r u using wave speed units

[midnight otter]

wdym whats it units for

oh

[oblique kelp]

or is it wavelength

[midnight otter]

idek

its conventional

always in vectors we use lambda and mu

r = a1i + a2j + a3k + lambda(b1i + b2j + b3k)

always lambda

in planes too

[oblique kelp]

crazy

[midnight otter]

fr

[oblique kelp]

i’m never using lampda for vectors

just gonna use x and y

can one of u explain a question pleaseeeeee

[midnight otter]

L

why u keep saying lampda

[midnight otter]

depends what it is

[oblique kelp]

it’s a cool word icl

[oblique kelp]

probability

[midnight otter]

hmmmm

lets see

[oblique kelp]

r u agreeing to do it

[midnight otter]

no

[oblique kelp]

why

it’s probability

[midnight otter]

i need to see it first

probability isnt nice

[oblique kelp]

it’s an easy question

i’m just being dumb

[midnight otter]

do it then

show

[midnight otter]

fill in the table

[oblique kelp]

am i meant to multiply it

[midnight otter]

no

[oblique kelp]

then what

[midnight otter]

'the smallest score is subtracted from the larger score'

fill in the table

[oblique kelp]

what if they’re the same

[midnight otter]

then see how many 1's there are

[midnight otter]

then its 0 either way

[oblique kelp]

8?

[midnight otter]

no

[oblique kelp]

how many

[midnight otter]

9

[oblique kelp]

so it’s 9

[midnight otter]

maybe

[oblique kelp]

i don’t understand why though

[midnight otter]

cuz

probability is

amount of times it happens/total things

so p(1) = 9/30

[oblique kelp]

oh it’s asking the prob for it being 1

im gonna try another challenge type of q but this one is easier wanna try @oblique kelp after u done w ur probability

it’s more doable

lol

since u said u wanted to try a q today

[oblique kelp]

yh i’m done with probability

[oblique kelp]

hopefully i can acc do it😭

u can

defo

,rotate

[oblique kelp]

if u read it properly u can solve it

ok

[somber sparrow]

looks cool @oblique kelp

ill have a go too :0

[oblique kelp]

i tried smth but i highly doubt its right

[oblique kelp]

ok

[oblique kelp]

tell me what u did

first find speed of them both

or find an expression for it

[somber sparrow]

I got d(1-1/n)

im pretty sure its right

imo only hard part is removing s

like i used s=dt

so fast kid n(s)=d/t

so t=d/ns

slow kid s=dt
so t=d/s

por sorry 2d

bcs its there and back

so 2d/ns vs d/s

take out common s

2d/n aand d

[oblique kelp]

2d/kn and 2d/k?

[somber sparrow]

i got an answer for vector probs i think

lemme verify

[oblique kelp]

and bc he’s n times faster u multiply the second one by n? so u can equate them? @oblique kelp

idrk

[oblique kelp]

nah andy = k and ben=kn

so ur right u need to multiply by n

[oblique kelp]

wdym

oh nvm i just didn’t write the names

[oblique kelp]

u get it ?

time for ben to get to the end of path is d/kn

,rotate

i just wrote that but how if that meant to show the answer

[oblique kelp]

simplify

but then u just have n

this q has got me confused

[winter river]

How are there so much people writing on this thread

[oblique kelp]

lol idk it was open for ages

@somber sparrow what u get for vector i got an answer 2

[oblique kelp]

i got the same

but mines simplified

[somber sparrow]

what i wrote is not 2

4root2-4/8 = (roo2-1)/2

thats the simplified

[oblique kelp]

this what i got can u eeee

see

is that the same

i’m guessing we did it very diff ways

[somber sparrow]

omg

yes

😮

ANGLESSS

[oblique kelp]

i got this using parallel lines yk

[oblique kelp]

u used angles 💀

[somber sparrow]

how else do u get root 2

[oblique kelp]

i did it ina way that didn’t need angles except to find n by using trig

found out my n and y and then subbed them in equations i made

[somber sparrow]

that

[oblique kelp]

doesn’t count tho

anyways this question has caused me too much stress

how long did u spend on it

[somber sparrow]

shush

;9

;;(

😭

[oblique kelp]

9 hours is crazy 😭 i mean i started this a few days ago and left it and came back to it yesterday and then came back to it today and then spent like 2 hours

i probs spent the same amt of time all together

[somber sparrow]

first actual grade 9 booklet ive ever had

everything else is like

meh

[oblique kelp]

this would never come in gcses trust me

[somber sparrow]

lmao

[oblique kelp]

it’s just challenge questions

[somber sparrow]

😭

[oblique kelp]

but some of these will

it’s supposed to be doable for gcse but idk man

imagine if this was in a paper

ok i’m gonna try another q tmrw @somber sparrow i’ll ping u

[somber sparrow]

<@&791435371564892232>

Put 2 into vertical bisect B

split AC into x and 6-x

get expressions for AB and BC in terms of x using pythagoras

multiply the 2 squared values of AB and BC in terms of x and half them and set them as = 36 (because Area of triangle =6, 6^2=36)

[oblique kelp]

@somber sparrow im did something similar what i did was i said 1/2ab= 6 and then i said 2ab=24

then i did pythagoras a^2+b^2=36

then i added 2ab to both sides and said
a^2+2ab+b^2= 36 + 2ab

i know 2ab= 24 so i just did 24+36

so now i have (a+b)^2 = 60

and i square rooted

and got a+b = 2root15

then

we know a-b= 2root 3 i forgot to say

this is so@confusing lemme write it out

this what i did @somber sparrow

[somber sparrow]

how do u go from a-b=2root3

to a+b=2root15

[somber sparrow]

the line a-b-a+b =2b

towards the end- like 7 ish lines from bottom, maybe 6

that is just 0=2b,which is false

[oblique kelp]

i made two equations

oh yea ur right

i did a mistake somewhere

[somber sparrow]

yeah... i dont think its valid to take 1 equation and make it into 2 by adding different values if you know whatr i mean

[oblique kelp]

lemme explain what i did it’s profs wrong but

the first thing i did was do pythagoras = a^2 + b^ 2 = 36

and i know 1/2 ab= 6

and i made it easier for myself and made 2ab=24

thenn

now i got a^2 + b^2 = 36 and ima add 2ab to both sides bc i know 2ab is 24

so then it just becomes a^2+ 2ab+ b^2 = 2ab which is (24) + 36

so we get a^2 + 2ab+ b^2= 60

then i can simply to make (a-b)^2 = 60

[somber sparrow]

+- 2 root 15?

[oblique kelp]

then i square root and i got (a-b) = 2root15

[somber sparrow]

yeah, +-

[oblique kelp]

yeah but let’s jus use positive

[somber sparrow]

hmmm

is that valid?

[oblique kelp]

so now we got (a+b) = 2 root 15

now we wanna find what a-b is

so we make a similar eq

[somber sparrow]

oh yeah a+b not a-b

[oblique kelp]

oops yes

a^2-2ab+b^2 = 36 - 2ab (which is 24)

so a^2-2ab+b^2 = 12

and then we simplify

and get (a-b) = 12

i mean squared

and we get (a-b) = root12

which is 2root3

do u get how i did that

[somber sparrow]

yes thanks

+-2root3=+-2root15-2b

[oblique kelp]

then i wanna find 2a which is (a+b) + (a-b)

and it’s equal to root3+ root 15

acc

wait

i made a mistake to find the b’s

[midnight otter]

riad just dont even try icl

[somber sparrow]

my screenshot button brock again smh

[oblique kelp]

where u come from

[midnight otter]

my computer

[oblique kelp]

why

i was doing just fine working this out

also is there a faster way but i swear it’s alevel

[slate raptor]

I was gnna but then I won’t decide to now

[oblique kelp]

damn ok

[oblique kelp]

ye and then the perimeter is a + b+ 6

so we add them all up

and u get 6+ 2root3

right?? idk

[oblique kelp]

just only use positive

wait

nvm

it’s the same thing either way

did u get the final ans

[somber sparrow]

thats my b

ill do for a

i get the same list

bcs its +-

[oblique kelp]

wdym

[oblique kelp]

ur only supposed to get one a not 2

[somber sparrow]

yeah

u were right

no +-

@oblique kelp

[oblique kelp]

yeah that’s right i accidentally wrote 2root3 cuz i used the wrong number but yeah

if u look at the numbers i added i just added them wrong cuz i didn’t have a calc 😭😭