#help-0

1 messages · Page 763 of 1

alpine sable
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same as the last one, divide both sides

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$x=1:\frac32$

ocean sealBOT
spark zenith
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;-;

alpine sable
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It's amazing helping dudes. uwucat

spark zenith
#

Am confused

alpine sable
#

yeah. do you know why or how to solve it though

spark zenith
alpine sable
#

let's do the last one again
-6x=48

spark zenith
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48:(-6)

alpine sable
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same idea with this one

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except it's not -6, but a fraction

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$1:\frac32$

ocean sealBOT
spark zenith
#

does this server support dutch?

alpine sable
#

someone might know it

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if you have $a:\frac{b}{c}$

ocean sealBOT
alpine sable
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you can write it as $a \cdot\frac{c}{b}$

ocean sealBOT
alpine sable
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$$a\divisionsymbol\frac{c}{b}=\frac{a}{1}\cdot\frac{b}{c}=/frac{a/cdotb}{c}$$

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what

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$a\divisionsymbol\frac{c}{b}=\frac{a}{1}\cdot\frac{c}{b}$

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\frac{a}{1) is the error

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Em

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ehhhh

ocean sealBOT
alpine sable
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oh )

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typo

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wait

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that's incorrect

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let me efit

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edit

spark zenith
#

@alpine sable wow you helped me tysm bigbrain

oak chasm
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Division by a fraction is multiplying by the reciprocal.

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As shown.

alpine sable
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$$a\divisionsymbol\frac{c}{b}=\frac{a}{1}\cdot\frac{b}{c}=\frac{a\cdot{b}}{c}$$

spark zenith
sleek elbow
ocean sealBOT
alpine sable
#

oh u just add {b} inside the two {}

sleek elbow
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oh no its breuk wiskunde @spark zenith

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I think

spark zenith
spark zenith
sleek elbow
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$\frac{a}{b}$ that is a fraction

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@spark zenith

alpine sable
#

yes

spark zenith
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Oh ok

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Breuk

ocean sealBOT
alpine sable
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is it required to add {} when there's a number inside a fraction?

sleek elbow
alpine sable
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I'm trying to learn the bot, lol

sleek elbow
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yup

alpine sable
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,, \frac12

sleek elbow
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$frac{a}{n}$

ocean sealBOT
#

ZED_118

#

Ladan
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

sleek elbow
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that

alpine sable
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yes

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Usually for single strings you wouldn't need braces

sleek elbow
alpine sable
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braces are made for grouping and separation

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$\dfrac an$
ocean sealBOT
alpine sable
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is a brace {}?

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$\frac ab$

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yes

ocean sealBOT
alpine sable
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and do u have to add one or two dollar signs?

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$x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}$

ocean sealBOT
#

ZED_118

alpine sable
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one works

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$\frac{a}{b}, b \neq 0$ $test$ $$test2$$

wary stream
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And that's when you have other text involved

spark zenith
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$frac{12}{30}x={8}{5}$

ocean sealBOT
#

Avocadoman

spark zenith
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oops

alpine sable
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You missed \

wary stream
ocean sealBOT
alpine sable
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$

ocean sealBOT
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Avocadoman

$\frac{12}{30}x=\frac{8}{5}$
alpine sable
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Also if you’re writing text, it should be outside of $$

wary stream
spark zenith
alpine sable
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$Let a = b$ \
Let $a = b$

ocean sealBOT
#

ZED_118

wary stream
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You can cross multiply

alpine sable
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avocado same as last one

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to to add a new line u just add one more dollar sign
$test1$ $$test2$$ $$$test3$$$ $$$now itll be the same line$$$

ocean sealBOT
#

Shaky

to to add a new line u just add one more dollar sign
$test1$ $$test2$$ $$$test3$$$ $$$now itll be the same line$$$
```Compilation error:```! Display math should end with $$.
<to be read again> 
                   t
l.56 $test1$ $$test2$$ $$$t
                           est3$$$ $$$now itll be the same line$$$
The `$' that I just saw supposedly matches a previous `$$'.
So I shall assume that you typed `$$' both times.```
alpine sable
ocean sealBOT
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ZED_118

alpine sable
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consider dividing by 60 on both sides

alpine sable
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Compilation error

spark zenith
alpine sable
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can ya fix it for me?

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react with the warning sign

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so we can check the errors

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although it is pretty obvious

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Okay.

alpine sable
ocean sealBOT
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ZED_118

alpine sable
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yeah double $$ on each end of your strs

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not triple

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@spark zenith \frac85 : \frac{12}{30}

spark zenith
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$\frac85 : \frac{12}{30}$

alpine sable
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change to multiplication yes

ocean sealBOT
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Avocadoman

spark zenith
alpine sable
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it went from 1-2-3-3

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and write reciprocal

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there shouldn't be any errors lol

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does it have to end with double

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[a]

ocean sealBOT
alpine sable
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magic

spark zenith
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@alpine sable so 8/5 is 5/8??

alpine sable
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the second one

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12/30 should be 30/12

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refer to formula

alpine sable
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$a : \frac bc = a \cdot \frac cb$

ocean sealBOT
spark zenith
alpine sable
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[\frac{8}{5}\divisionsymbol\frac{12}{30}=\frac{8\cdot{30}}{5\cdot{12}}]

ocean sealBOT
alpine sable
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good

spark zenith
alpine sable
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simplify 30 and 5

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Why use an obelus just nest the fractions sully

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is there another way to write divisionsymbol?

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No

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Technically yes but predefined no

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takes too long time to write

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it should have a function, like * has cdot

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as well as \times

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$\division$

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Lol

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\div is used for divergence

ocean sealBOT
#

Em
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

alpine sable
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But you could always resort to nesting the fractions sotrue

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Hi em

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hello

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plants still growing?

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to to add a new line u just add one more dollar sign
$test1$ $$test2$$ $$test3$$ $now itll be the same line$

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yes

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bruh it didn't work

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fix it for me xd

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double dollar signs

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not triple

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as said

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im retarded

alpine sable
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click the link

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no

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ip grabber

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$line one \ line two$

ocean sealBOT
alpine sable
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Also \[ \] as well as $$ $$ unsure about \( \) because I've never used them; Is used to centralise your stuff.

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Centre of the page

oak chasm
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\( and \) is the LaTeX version of $ and $.

ocean sealBOT
alpine sable
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to to add a new line u just add two dollar signs
$test1$ $test2$ they should be on the same line $$test3$$

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fancy

ocean sealBOT
alpine sable
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\\ as well as \newline for line breaks

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the text's being annoying

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demonstrate

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how do i move the text down and why is test3 in the middle?

placid zinc
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Using double $ is why

shut helm
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my mind is dead rn what does x equal?

alpine sable
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just use the distributive law

placid zinc
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Newline is //

alpine sable
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its easy

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Distribute

shut helm
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you subtract the numbers right

alpine sable
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i want test3 to be on the left side

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$$...$$ is when u want a new line

ocean sealBOT
alpine sable
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oh it actually wrote that lol

shut helm
spark zenith
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–3x + 6 = 21
how do you do this distributive equation ??

placid zinc
# shut helm is x = 8?

Why not plug that onto the original equation, and see if the left side and right side match?

alpine sable
spark zenith
alpine sable
spark zenith
alpine sable
#

to to add a new line u just add two dollar signs
$test1$ $test2$ they should be on the same line \test3

ocean sealBOT
alpine sable
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cool

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yeah but i'm gonna go sleep now

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Do i need to know at least one angle to solve this?

The length of the hypotenuse of an isosceles right-angled triangle is 16 cm.
(a) What is the length of the other two sides?
(b) What is the area of the triangle?

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i dont think so

alpine sable
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a^2+b^2=16

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u know a and b have the same length

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,w sqrt(8)

alpine sable
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2.28^2+2.28^2=16

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area should be 2.28 * 2.28 * 0.5

alpine sable
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Tytytyty

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(a) 11.31 cm (b) 64 cm2

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no

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,w 2.28 * 2.28 * 0.5

alpine sable
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(a)=2.28
(b) = 2.5992

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forget it

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ion know if this is correct

shut helm
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im crying why cant i figure this out

alpine sable
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what the fuck do i do

spring inlet
shut helm
spring inlet
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it's the distributive property

alpine sable
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64

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0iq

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a^2+b^2= 16
sqrt(a) + sqrt(b) = 16
sqrt(64) + sqrt(64) = 16
8 + 8 = 16
Question a= **8 **

8 * 8 * 1/2 = 32
question b = 32
@alpine sable

shut helm
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im hopeless when its past 3 pm

alpine sable
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@shut helm what is 5(2 + 3)

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tell me how to do it

shut helm
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by 5(2+3)

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is it (2+3) multiplied by 5

alpine sable
#

yes, calculate tjat

shut helm
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or plus 5

alpine sable
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no

shut helm
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ok

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🤨

alpine sable
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it's not +5

shut helm
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its multiply?

alpine sable
#

yes...

spring inlet
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Yeah, try it out with numbers to convince yourself

shut helm
#

so 2+3 multiplied by 5

alpine sable
#

Now I'm gonna teach you something

shut helm
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👀

alpine sable
#

In math, there is another way u can handle this problem. Let's say you have 5 * (2 + 3)
You can first multiply 5 with 2 and then plus the product of that with the product of 5 and 3. That is called the distributive law

shut helm
#

hes cooking up something hot

toxic elk
shut helm
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would this be 3 * 2x tho?

alpine sable
#

yes

shut helm
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i dont know what x is yet tho 😩

alpine sable
#

also, remember to multiply 3 with -4 like u did with 3 and 2x

shut helm
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oh

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so that would be 5x - 12

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?

alpine sable
#

3 * 2 = 5, yes

spark zenith
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4.(3 +2x)= 12
whelp

buoyant kayak
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isolate x

alpine sable
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(a)=a

spark zenith
#

12 + 8x? = 12

alpine sable
#

3+2x = 12
2x = 10
x=5

buoyant kayak
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oh 4*(3+2x)?

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you put a .

alpine sable
#

oh, is there a 4?

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then distribute them

buoyant kayak
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just needs to solve now

alpine sable
#

Yes

spark zenith
alpine sable
#

$4(3+2x)=12 \ 12+8x=12 \ 8x=0 \ x=0$

ocean sealBOT
spark zenith
alpine sable
spark zenith
alpine sable
#

i'm gonna go off now but there will probably come some other helpers to help u

spark zenith
#

is it possible to get a fraction?

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in that?

alpine sable
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yes, you got a fraction as the answer

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0 = (0)/(1,+inf)

spark zenith
#
  1. (7+ 6x )=49
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Is this with a fraction

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Cuz i got a fraction in here

alpine sable
#

35 + 30x = 49
30x = 14
x = 14/30

spring inlet
alpine sable
#

1 is a fraction because you can write it as 1/1 which is also 1

spark zenith
#

Im done with my homework tysm

alpine sable
#

when working with polynomials, what is the difference between a monomial and constant

spring inlet
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Monomial is a single term, constant is a number

glass lichen
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all constants are monomials, not all monomials are constants

alpine sable
#

so like

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-39 is a constant

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and 8a^2 is a monomial

spring inlet
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yep

slate prawn
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how do i do this

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apparently 13-6i is wrong

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and i dont know what im doing wrong

spring inlet
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Seems like you added instead of subtracted

slate prawn
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pretty much, in class we were told you get rid of the parenthesis my multiplying the 2nd term by -1. making it 7-4i-6+2i

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and i just realized my mistake

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thanks

alpine sable
#

is 3/4 a constant

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and x + y is a binomial

spring inlet
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that's right

ashen yarrow
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what does an apostrophe mean

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when A B C are matrices

undone cipher
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that is the transpose

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by that i mean

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A' is the transpose of matrix A, B'....of matrix B, ...

ashen yarrow
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oooooh

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its been a while since ive taken linear algebra

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and in my multivariate stats course we have some matrix review

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couldnt figure out for the life of me what that meant

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thanks!

glass lichen
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Typical notation I've seen is $A^T$

ocean sealBOT
undone cipher
#

that's what i've usually seen as well

compact coral
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is thhis in use

undone cipher
#

i do not believe so

compact coral
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okay

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can someone tell me if I did anythingn wrong

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I hate these

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; - ;

undone cipher
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just looking over it rq i don't see anything in particular that jumps out as incorrect

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you seem to have justified your steps properly and you went step by step

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though, i think someone well-versed in geometric proofs should confirm that

compact coral
#

okay c:

alpine sable
#

Its 6:47am

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and i can't think of the forumla for this

compact coral
#

uh

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are you just askingn for answers

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???

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I dont think thats what this is for

alpine sable
#

im asking for the correct formula

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..

compact coral
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you didnt ask for the formula

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you asked for the answer

alpine sable
#

" i can't think of the forumla for this"

compact coral
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"how long would it take 5 men to move the same amount of chickens"

alpine sable
#

Was inferring im asking for the forumla

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lmfao

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@alpine sable can you help

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Me pls

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How can i be of service

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my friend

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Construct a proof please

alpine sable
#

Can u help me

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hello 😛

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I can help

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A is 2 sqrt 3

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So Az

compact coral
#

also this sevrer was still in use

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wtf

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why are 4 people here

alpine sable
#

So B is X

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@alpine sable are you listening

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Yes

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C is y

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So a is z

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lmao..

alpine sable
#

B X

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Cy

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And what is sand d is w

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And DW

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Yes

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Also what abt this

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how could you not do it yourself

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So basically it’s simplification

alpine sable
#

Basically can they be squared or not

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So I did not know how to do it

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It’s an new lesson for me

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Use Khan academy

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Ok

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Ty

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Love u no homo

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Khan academy algebra 1 it probably has everything you learnt and more you probably will learn

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Learn it every video is about 6 minutes and it teaches more than lessons

astral lion
#

Hello guys, I would like to ask you for help

alpine sable
#

What help?

astral lion
#

It might be a bit weird request but I need to learn 2nd grade high school mathematics in next 9 hours

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I'm taking really important test in 9 hours 27 minutes

prime badge
#

what age is 2nd grade high school

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i never learned this

astral lion
#

im 18

prime badge
#

got it thanks

astral lion
#

my classmates are aged around 17

alpine sable
#

2nd grade bro

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Are you joking

astral lion
#

im willing to pay the one who teaches me all that

alpine sable
#

We don’t want money

astral lion
#

im just lost

alpine sable
#

Just use YouTube and Khan academy

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Go to second grade

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Watch all of them and do questions

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Boom

astral lion
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is it possible to do in 9 hours ?

alpine sable
#

Yes

astral lion
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thanks buddy

alpine sable
#

His videos are short

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@astral lion what math is it btw

astral lion
#

like

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hm

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logaritmic functions

prime badge
#

trigonometry probably

astral lion
#

exponential functions

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series

alpine sable
#

Go to algebra 2

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I’ll get your redirected

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I’ll send the link

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Wait

astral lion
#

alright

alpine sable
#
Khan Academy

The Algebra 2 course, often taught in the 11th grade, covers Polynomials; Complex Numbers; Rational Exponents; Exponential and Logarithmic Functions; Trigonometric Functions; Transformations of Functions; Rational Functions; and continuing the work with Equations and Modeling from previous grades. Khan Academy's Algebra 2 course is built to deli...

#

Series are in algebra 1 if you need them

astral lion
#

Can i change language somewhere, I cant find it

alpine sable
#

You can also learn about quadratic series as well

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Language at the bottom

astral lion
#

oh nice

alpine sable
#

@astral lion I wish you best of luck

astral lion
#

thank you bro

alpine sable
#

But it seems odd that you need to do it in 9 hours only

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BRO I GOT AN 95perxent on my hw

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@alpine sable I’M TANK U

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@alpine sable I told you bro

astral lion
#

its because

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im kind of lazy

alpine sable
#

I could have got you 100 percent of you let me do it

astral lion
#

and i failed

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the year

alpine sable
#

Im just gona work on biolgy

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@astral lion dw bro you got this

alpine sable
#

Just do better next time

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Get yourself back up and ACE this test

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Don’t waste time

astral lion
#

it was just because of corona thing, I have a thing when I cant focus when im not in school

alpine sable
#

Make sure to do practice questions as well

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I’ll give you more websites

alpine sable
astral lion
alpine sable
#

Next week

astral lion
#

this is stuff thats probably going to be there

alpine sable
astral lion
#

not my handwriting tho

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xd

alpine sable
#

Use these too

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You can do specific practice questions on the topic you struggle on!

alpine sable
astral lion
#

im sad

alpine sable
#

What’s wrong?

astral lion
#

its just, i wanna study really complicated stuff and i feel like im just not smart enough

alpine sable
#

@astral lion I’m like you atm

astral lion
#

feels like waste of time studying all this

alpine sable
#

I’m studying algebra 1 and 2

astral lion
#

coz im not gonna make it anyway

alpine sable
#

Just to go onto calculus

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So I can do physics

astral lion
#

EXACTLY BRO

alpine sable
#

It’s a long and complicated road

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But you have to stay persistent

astral lion
#

self taught huh ?

alpine sable
#

Basically

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The stuff at school is useless

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I can teach all this stuff by myself

#

I’m going to self teach calculus!

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Once I finish algebra 2!

astral lion
#

i thought im like

alpine sable
#

I have 2 books I’m reading

astral lion
#

only one in the world

alpine sable
#

On calculus

astral lion
#

to have dreams like this

alpine sable
#

What dreams

astral lion
#

i have like 50+ books of complicated stuff and also like beginner stuff but i seem to not be able to put effort into it

alpine sable
#

You just need to find motivation

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I found motivation

rich kraken
#

Ye it’s all abt putting time and effort into thinking abt it and trying to teach yourself

astral lion
#

yeah but its hard when everyone around telling u basically that u are piece of trash

alpine sable
#

So now I’m going back to ALGEBRA 1 to restudy so I get a fresh start

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And I’m close to algebra 2 now

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Once I finish algebra 2 I’m going into calc

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And I have 2 books to read for calc 1

rich kraken
#

I mean skill in math is largely a product of how much time you put into refining your understanding by playing around with and thinking abt math and researching stuff

alpine sable
#

Along with YouTube and Khan academy

#

@astral lion do you also get those dreams where you picture yourself as like this math physics wiz

astral lion
#

im like cursed or sth i swear, i have a problem with studying because im not really able to study by myself, I wish i knew a person who would teach me advanced stuff and explain it so it actually makes more sense

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YEAH

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I DO

alpine sable
#

Exactly

astral lion
#

i got myself blackboard

alpine sable
#

I can relate

astral lion
#

books

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clothes

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everything

alpine sable
#

Where are you situated @astral lion

astral lion
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but im just fkn stupid or something

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europe

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slovakia

alpine sable
#

Ok

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Balkan

astral lion
#

niiice

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i like balkan

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tbh

alpine sable
#

Bro I can guarantee everyone gets those dreams

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But only a few are working towards it

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You have to be willing to put the time and effort in

astral lion
#

i am

alpine sable
#

Are you

astral lion
#

but im literally physically unable

alpine sable
#

How?

astral lion
#

to learn new stuff

#

myself

alpine sable
#

Are you handicapped

astral lion
#

yes

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mentally

alpine sable
#

What handicap

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ADHD autism

astral lion
#

im not sure what are these called in english so imma just explain

alpine sable
#

Is it Asperger

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Explain to me what mental handicap is it

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@astral lion honestly though we shouldn’t be wasting time you’ve got a test coming up

astral lion
#

bipolar, i cant focus on stuff when im not 100% confortable with my surroundings

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and also

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depression

alpine sable
#

Are you diagnosed or is it a teen phase

astral lion
#

like softer level of schyzophrenia

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diagnosed

alpine sable
#

Wait you said you were 18 right?

astral lion
#

yes

alpine sable
#

18 on ALGEBRA 2?!

astral lion
#

im struggling with this since i was in elementary school

alpine sable
#

You should be on calc 1.5

astral lion
#

coz im oldest in my grade

alpine sable
#

Ohh

astral lion
#

in my country its kinda weird

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its normal here

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i should go on collage when im 21

alpine sable
#

Diagnosed

#

What is life like in Slovakia

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What’s the daily routines

astral lion
#

wdym

alpine sable
#

So like do you just do the same thing everyday

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What do you do after school

astral lion
#

pretty much same stuff for last 6 years

alpine sable
#

Like what

astral lion
#

playing video games

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it might sound stupid but

#

its relief

alpine sable
#

Same, but I eventually stopped

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You have to never forget this

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This helped me too

astral lion
#

after long day of pain caused by my conditions

alpine sable
#

You will NEVER EVER get satisfied with videogames

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Maybe In moderation sure

astral lion
#

i mean they are pretty fun to play

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i dont want to play them

alpine sable
#

But you will never go like , I am done that was a fun session on your own

astral lion
#

but i kind of have to

alpine sable
#

So it’s more of an addiction

astral lion
#

not like that

alpine sable
#

There are probably like a lot of lurkers watching us chat rn 😂

astral lion
#

i mean, i seem to not be able to find something that has this kind of "helping" effect on me

#

haha yeah prob

glass lichen
astral lion
#

sorry sir

alpine sable
#

If anyone needs help they can ask

#

And I’ll be glad to help if can

astral lion
#

if its not allowed or something i can stop

alpine sable
#

I don’t think it’s a problem

#

You need a serious lifestyle change dude

astral lion
#

yes i know

glass lichen
#

Just talk in dms or one of the social channels instead of a help channel, makes it hard for people to realize the channel is free

astral lion
#

but i have noone so

alpine sable
#

Do you want to move to dms?

astral lion
#

yes brother

alpine sable
#

It seems we are disturbing the peace here

#

y = 4x^2 +8x + 7

#

Can someone help me on completing the square on this?

#

You -7 first

#

right

#

so then I get y -7 = 4x^2 + 8x

#

now I divide b/2 and square

#

I’m not good at completing

#

I only factorise

#

So divide by 2

#

Then square it

#

Which is 16

#

+16

#

Then add that to the other side

#

right so now I have y +9 = 4x^2 + 8x + 16

#

now what?

#

Let me think

#

I don’t have a lot of practice here

#

I think you factorise

#

yeah, with whatever b/2 was

#

Then square root both sides

#

@alpine sable factorise into (x)^2=y

#

Square root both sides

#

if it were just x^2+8x+16, then the next step would be to do
(x+4)(x+4)

#

Yes

#

but it's 4x^2

#

I don't know how to handle that

#

do I just get 4(x+4)(x+4)

#

Well what are we factorising here

spring inlet
#

8, and 16 are both divisible by 4

topaz scaffold
alpine sable
#

like handle it later

#

What they mean is that you can simplify the equation

spring inlet
#

sure if you like to suffer

alpine sable
#

Before it began

#

I have a test tomorrow and I don't want to do any new techniques that I don't feel comfortable with yet

#

So it becomes easier

topaz scaffold
#

Oof too many people here imma dip

glass lichen
#

Too many cooks in the kitchen

alpine sable
#

@alpine sable most importantly we factorise here

topaz scaffold
alpine sable
#

We need to square root it afterwards

#

Then -4

glass lichen
#

the question says nothing about factoring...

alpine sable
#

no tutorial I've watched has mentioned square rooting on this

glass lichen
#

so dont make up shit

alpine sable
#

Factoring is part of completing the square

glass lichen
#

common factoring is yes

alpine sable
#

y +9 = 4x^2 + 8x + 16

#

I didn’t mean solving by factoring

glass lichen
#

$y=4x^2+8x+7 \ =4(x^2+2x)+7$

alpine sable
#

what is the next step after that

ocean sealBOT
glass lichen
#

what number do I need to make the thing in the brackets a perfect square?

alpine sable
#

You need to factorise

#

I don't know most of this is just memorized steps

#

I'm sure your method works

#

but I need to pass this test tomorrow

glass lichen
#

so you cant think for yourself?

alpine sable
#

so i am sticking with the one I've memorized

#

@alpine sable my completing the square knowledge is horrible

alpine sable
glass lichen
#

Ok... so why are you asking for help then?

alpine sable
#

So I can pass the test?

#

Does it say in the question about completing the square

glass lichen
#

yeah but you just said you memorized the steps.....

alpine sable
#

I can help without actually doing the question

#

Does it say in the question do it by completing the square

alpine sable
alpine sable
#

so I need it in vertex form

#

which means I need to complete the square

glass lichen
#

Im not going to help someone closed minded

alpine sable
alpine sable
glass lichen
#

Ok then gl

alpine sable
#

I need to pass the test

uncut tapir
alpine sable
#

This is algebra 2 which I haven’t learnt in depth

#

I’m unable to help further because of my ignorance

#

yeah I didn't know what a quadratic equation even was until like 2 weeks ago

uncut tapir
#

All you are doing is converting a quadratic from one form to another

alpine sable
# glass lichen Ok then gl

I appreciate your attempt to help though, I'll come back later and look into your method after the test

topaz scaffold
#

The thing is, I don't know any other method of completing the square besides the one Mosh did

#

I'm not sure how a square root plays into completing the square

#

Either you find the tutorial again or you learn a new method at this point

uncut tapir
#

The coefficient of x^2 needs to be a perfect square

#

If not, you factor it out

#

Otherwise it ends up ugly

alpine sable
#

the steps that I learned are

  1. move constant to other side of equation
  2. divide b by 2, then square it. Add this result to both sides
  3. Now you can factor with whatever b/2 was, so (x+2)^2 if b was 4
#

@alpine sable you want to know how to solve

#

Go to Khan academy

#

Simple

uncut tapir
#

Your step 2 is a short cut

#

That's why you don't understand it

glass lichen
#

$y=4x^2+8x+7 \ =4(x^2+2x)+7 \ =4(x^2+2x+1-1)+7 \ =4(x+1)^2-4+7 \ =4(x+1)^2+3$

alpine sable
#

This guy is a legend

ocean sealBOT
split slate
#

$y=-3sin(2x)$

ocean sealBOT
#

HappyAlt

glass lichen
#

\sin

alpine sable
#

Is this calculus

glass lichen
split slate
alpine sable
#

What is dilation factor

glass lichen
#

or horizontal

split slate
#

I honestly don't know

alpine sable
#

my method is this y = 4x^2 + 8x + 7 y -7 = 4x^2 + 8x 4 -7 +16 = 4x^2 + 8x + 16 4 +9 = 4x^2 + 8x + 16

topaz scaffold
alpine sable
#

@alpine sable did you watch the video

#

and all i want to know rn is what I do after that last step

glass lichen
#

I factored 4 out of the terms with x's in them

alpine sable
#

I’ve done trig but I’ve not done pre calc

#

right but you don't have to do that

#

right

glass lichen
#

you dont have to, however it gets it into vertex form

topaz scaffold
alpine sable
#

right the method I know is this

uncut tapir
#

No offense but I think you need to relearn completing the square I think you rely too much on shortcuts

alpine sable
#
y -7 = 4x^2 + 8x
4 -7 +16 = 4x^2 + 8x + 16
4 +9 = 4x^2 + 8x + 16```
glass lichen
#

whereas what you're doing will do it more haphazardly

#

since you havent gotten the a value yet

alpine sable
alpine sable
#

but my test is tomorrow

#

I need to pass

#

I'll learn that method later

uncut tapir
alpine sable
#

You can’t get good on the test if you can’t do it properly

topaz scaffold
alpine sable
#

Yes I do

#

Free healthcare

topaz scaffold
#

Cries in American

glass lichen
#

$y=ax^2+bx+c \to y=a(x-h)^2+k$

ocean sealBOT
alpine sable
#

and to be fair, almost every math tutorial I find just teaches this stuff in terms of memorized steps/formulas

#

which is a big reason I don't understand what's going on much

glass lichen
#

clearly at some point you need to factor out the a, so might as well do it first

alpine sable
#

And look at the solutions

alpine sable
#

y = 4x^2 + 8x + 7
y -7 = 4x^2 + 8x
y -7 +16 = 4x^2 + 8x + 16
y +9 = 4x^2 + 8x + 16

#

You get used to all different scenarios

#

I just need an answer on what the next step is for this is guys
y +9 = 4x^2 + 8x + 16

uncut tapir
glass lichen
#

you dont add 16 to each side... you had 4

uncut tapir
#

That's at least a principled method you can memorise easily

glass lichen
#

since you need (2x+2)^2 in your method

alpine sable
#

8/2 = 4

#

^2 = 16

#

add 16 on both sides

glass lichen
#

yeah that's wrong

alpine sable
#

every tutorial I have seen says that

glass lichen
#

4x^2+8x+16 is never going to be a PST

alpine sable
uncut tapir
#

Another thing I'd recommend is looking at the proof for the quadratic formula

alpine sable
#

yea thats the main way of deriving it

#

Derive it

uncut tapir
#

That's basically the most generalised completing the square you can get. If you follow each step, you can complete the square for anything

alpine sable
#

what step comes next

#

The quadratic formula is really useful, but its derivation is confusing to many. Like what is the point of "completing the square" anyway? In this video, I show how "completing the square" has a geometric interpretation--you are actually making the areas of two squares equal to each other!

Blog post (text/image summary): http://wp.me/p6aMk-4kG
...

▶ Play video
#

y +9 = 4x^2 + 8x + 16

#

this one is even visual

alpine sable
#

the only thing I am confused on

#

is when the coefficient is greater than one

#

if it were just 1

#

it would be (x+4)(x+4)

#

easy

#

but it's' not

#

so what to I do with y +9 = 4x^2 + 8x + 16

#

so first thing i do ist solve for y

#

y = 4x^2 + 8y + 7

uncut tapir
alpine sable
#

then i take 4 out of every term

uncut tapir
#

Reduce it to a problem you can solve

alpine sable
#

y = 4(x^2+2x+7/4)

#

then you can casually solve the bracket with completing the square

#

y = 4(x^2 +2x + 1 + 3/4)

#

y = 4((x+1)^2) +3/4)

#

last thing is multiplying the last value out of the bracket

#

y = 4(x+1)^2 + 3

strong heart
#

how would i find the limit for number 5

wary stream
#

,rotate

ocean sealBOT
strong heart
#

all i can think of so far is substituting in c for x but that’s basically all i can think of doing

wary stream
#

If you noticed, you interrupted someone waiting, you should ask in a different channel, an inactive one

wary stream
deft python
#

You guys are so smart ;-;

alpine sable
#

Hello

mortal void
alpine sable
mortal void
#

bye

alpine sable
#

I think this isn’t being used

somber spoke
#

i understand part a but not part b

mortal void
somber spoke
#

has there been a mistake, and it meant to say FGI instead of FHI

mortal void
mortal void
somber spoke
#

d isnt

somber spoke
alpine sable
#

how do you know tho

#

since i forgot everything

mortal void
#

d is aswell

somber spoke
#

d isnt congruent

alpine sable
mortal void
# alpine sable

Two triangles are congruent if their corresponding sides are equal in length, and their corresponding angles are equal in measure.

mortal void
alpine sable
#

What are corresponding angles again

somber spoke
#

learn the congruence laws

mortal void
#

cause on the first figure 5cm one is right the hypotenuse but on second fig its the perpendicular/base one

wary stream
mortal void
alpine sable
#

And explain it to me

somber spoke
#

inscape

#

rotate the triangle 90 degrees clockwise

#

u] get this

alpine sable
#

Alr

somber spoke
#

and the other pair looks like that

#

u see the similarities

#

they share a side

#

and all 3 angles are the same

alpine sable
#

Yep

somber spoke
#

that means they have to be congruent

alpine sable
#

alrr

#

What does this mean then

somber spoke
#

if a two triangles have the 3 equal sides

#

that means they are congruent

#

this is called proof by SSS (side side side)

alpine sable
#

In A it would be AAS

somber spoke
#

yup exactly

alpine sable
#

What is a corresponding pair again

somber spoke
#

shi ion even kno

#

oh

#

like

#

are u talking abt this

alpine sable
#

Ye

somber spoke
#

basically the same side on the triangles

#

like the hypotenuse

alpine sable
#

So

#

2 equal sides?

somber spoke
#

yeah

#

and for angles

#

for example

#

the angles measuring 79 degrees are corresponding

#

bc theyre the same angle

#

if that makes sense

alpine sable
#

yeh

mortal void
#

sorry i found it a hard to explain

alpine sable
#

@somber spoke

#

@mortal void

#

How is the last one not congruent

#

The length right

somber spoke
#

the 1st one

wary stream
#

But not the correct sides

somber spoke
#

the hypotenuse is 5

alpine sable
#

OH YEAH

somber spoke
#

the second one, theres a side thats 5 which isnt the hypotenuse. The hypotenuse is the largest side therefore they arent congruent

white kiln
#

whats the answer on number 10

alpine sable
#

5

white kiln
#

okay thanks

wary stream
alpine sable
#

Oh oops

#

Forgot my bad

dark abyss
#

alpine sable
white kiln
#

i see

alpine sable
#

If anything is outside the Venn diagram

white kiln
#

3 and 10 are like the same

#

idk

alpine sable
#

No

wary stream
#

Is it really 5 though?

white kiln
#

my 3 and 10 same answer

alpine sable
#

Its asking

#

Which do not like both

wary stream
#

It says both tennis and swimming, and both is the overlap part, is it not?

white kiln
#

thanks i understand now

somber spoke
wary stream
#

That's what I thought

wary stream
somber spoke
#

this one is 5

white kiln
#

uhe

wary stream
somber spoke
#

okay

tranquil matrix
#

i think i need help

#

in math

glass lichen
#

what have you tried?

alpine sable
wary stream
#

Because it said both tennis and swimming, and both is the overlap

alpine sable
#

Avtually

#

You are right

glass lichen
#

well... why did you use 111 when that isnt a number to be concerned with?

dusty dragon
#

guys help

glass lichen
#

yes... so use 111000

#

not 111

#

ok then you're right

white kiln
#

i just got this server i just type math on invite link

dusty dragon
white kiln
#

no

dusty dragon
#

dang

white kiln
#

just wiat for help

alpine sable
#

i need help

#

i need help with my math homework

#

pls

#

its 9th grade math

#

hello?

#

anyone?

#

pls?

#

@mossy snow

#

pls?

#

no?

#

@fading citrus i need help

glass lichen
#

and dont randomly ping people

alpine sable
#

but i need help

glass lichen
alpine sable
#

Evaluate each expression. Name the property used in each step.
5(7*4-27)

#

Sir how can I solve this question? Is my answer right?

fading citrus
#

Nobody is obligated to help you

west hearth
#

A silly little question, but why are number lines and coordinate axes equally spaced, what would happen if there was uneven spacing like how would that affect our results

fading citrus
#

I suppose you don't necessarily NEED to evenly space them, it would just make following graphical representations more difficult

west hearth
#

Ahh

#

Yeah it would

fading citrus
#

The spacing just represents a uniform distance per unit

west hearth
#

So it’s just for convenience and not for a mathematical purpose right

west hearth
fading citrus
#

You could have a linear function on an unevenly spaced x axis and it wouldn't appear linear visually anymore

west hearth
#

Hm yeah

fading citrus
#

I don't know if saying it has no mathematical purpose is exactly right but yes I guess you don't explicitly have to do it that way

#

It just makes the most sense and is easiest to follow

#

so there's no reason not to

west hearth
#

Mhm yeah, thanks, was just curious

fading citrus
#

All good

tranquil saddle
#

Hey curious if someone can explain these to me?

#

;-;

ivory zodiac
#

they're functions

#

replace x with numbers and plot them on the graph idk what u mean by explain these to me

tranquil saddle
#

Are those correct?

alpine sable
tranquil saddle
#

It's a drag and drop thing :/

alpine sable
brittle venture
wary stream
tranquil saddle
alpine sable
tranquil saddle
brittle venture
#

how about this?

tranquil saddle
#

I guess not

brittle venture
alpine sable
#

Ahh oke i see now, it should multiply 2 first

wary stream
brittle venture
#

mid?? hmmmmm

wary stream
#

There's formulas for this stuff, just look it up

brittle venture
#

Which is the correct equation for a line that passes through the points (-1,-9) and (4,1)?

alpine sable
#

y always everyone be ignoring my question

brittle venture
alpine sable
thorn vortex
#

@brittle venture do you know how to find the equation of a line between two points?

thorn vortex
#

well

#

lets say you have 2 points $A(Ax, Ay) and B(Bx, By)$

ocean sealBOT
#

Pealover

brittle venture
#

ok

wary stream
thorn vortex
#

the coordinates of the vector $\overrightarrow{AB}$ is $\overrightarrow{AB}(Bx - Ax ; By - Ay)$

ocean sealBOT
#

Pealover

thorn vortex
#

let's then say you have a point $M(x ; y)$ belonging to the lane (AB)

ocean sealBOT
#

Pealover

brittle venture
#

ok

#

ok i found the answer

#

thanks

bitter sage
#

hey if u+v = (2,2,0) whats |u+v|

thorn vortex
#

didn't even finish to explain but ok

brittle venture
#

lol

tight locust
#

just use the euclidean norm?

bitter sage
tight locust
#

what is the magnitude of the vector

bitter sage
#

like |u| and |v| are 2