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Mathematics 8 Online
OpenStudy (babynini):

Ellipses help!

OpenStudy (babynini):

OpenStudy (babynini):

@ganeshie8 I'm not sure how to keep 1 on the right side while simplifying the left

OpenStudy (babynini):

@freckles ? :)

Nnesha (nnesha):

it's not ellipse

Nnesha (nnesha):

http://prntscr.com/7cbqdf :-)

OpenStudy (babynini):

Sorry, I meant hyperbola

Nnesha (nnesha):

so is it horizontal or vertical ?

Nnesha (nnesha):

do you know ?

OpenStudy (babynini):

Sorry I didn't get your responses until now! grr pc

OpenStudy (babynini):

horizontal?

OpenStudy (babynini):

\[\frac{ x^2 }{ \frac{ 1 }{ 36 } }-\frac{ y^2 }{ \frac{ 1 }{ 64 } }=1\]

OpenStudy (babynini):

a= 1/6 b=1/8 c=5/24

OpenStudy (babynini):

yeah?

Nnesha (nnesha):

it's hyperbola so its not depends on a(bigger number) if x comes first then it's horizontal and if y comes first then it's vertical \[x^2 - y^2 = 1 \]^^^ horizontal \[y^2 - x^2 =1\] vertical ^

OpenStudy (babynini):

ooo I didn't catch that in class. That is helpful ^-^ so yeah it's horizontal.

Nnesha (nnesha):

yep right

OpenStudy (babynini):

do you know if the a b and c are right?

Nnesha (nnesha):

gimme a sec

Nnesha (nnesha):

alright

OpenStudy (babynini):

ok :) I'm at school and going to drive home so brb in like 15 :)

Nnesha (nnesha):

oh okay

OpenStudy (babynini):

...so that was waay more than 15, sorry! back now.

OpenStudy (babynini):

@Nnesha

Nnesha (nnesha):

alright to find c u have to use this formula \[\huge\rm c^2 = a^2 + b^2\] plug in a^2 and b^2 value solve for c

OpenStudy (babynini):

Earlier I posted what I got for a, b, and c :)

OpenStudy (babynini):

a= 1/6 b=1/8 c=5/24

Nnesha (nnesha):

ohh nvm i forgot

Nnesha (nnesha):

that's right now bec it's horizontal formula for focus \[\huge\rm (h \pm c ,k)\] (h,k) is the center point add c value in x coordinate

Nnesha (nnesha):

center is ( 0 ,0 ) in that question

Nnesha (nnesha):

so focus is = ?

OpenStudy (babynini):

(0, plus or minus 5/24)

Nnesha (nnesha):

x-coordinate not y it's horizontal so add h +/- c

Nnesha (nnesha):

\[\huge\rm (h \pm \color{red}{c} ,k)\] (h,k) is the center point h + c and h - c

Nnesha (nnesha):

alright seems like u r afk so for vertex \[\huge\rm (h \pm a ,k)\] and for asy \[\huge\rm y = k \pm \frac{ b }{ a }(x-h)\] (h.k) is the center

Nnesha (nnesha):

pm means \[\huge\rm (h + a , k) and ( h -a ,k)\]

OpenStudy (babynini):

did you get my msg?

OpenStudy (babynini):

wait what? focal point is... (0,a) then?

Nnesha (nnesha):

nope

Nnesha (nnesha):

wat msg ?

OpenStudy (babynini):

I sent you a message on here. Or i thought i did

OpenStudy (babynini):

(0,c) ?

OpenStudy (babynini):

what is the h?

Nnesha (nnesha):

(h , k) is the center which is (0,0) in this question did u read my comments ? :-)

OpenStudy (babynini):

Yeah, but if it's that then the foci are (0, pm 5/24)

Nnesha (nnesha):

nope add into x-coordinate not y \[\huge\rm (h \pm \color{red}{c} ,k)\] h + c and h - c

OpenStudy (babynini):

I don't understand that D: c - 5/24

OpenStudy (babynini):

* c = 5/24

Nnesha (nnesha):

what is h and k ?

OpenStudy (babynini):

(0,0)

Nnesha (nnesha):

yep right nice face! 0.0 alright so it should be like this \[(0 \pm \frac{ 5 }{ 24} , 0)\]

OpenStudy (babynini):

why is the k there? The previous problems I've done never have had that

Nnesha (nnesha):

what k ?

OpenStudy (babynini):

After the c :P

Nnesha (nnesha):

k = 0 y- coordinate now bec it's horizontal u have to add into x-coordinate not y so it's yep right nice face! 0.0 alright so it should be like this \[( \pm \frac{ 5 }{ 24} , 0)\]

OpenStudy (babynini):

so the final answer should be (0, pm5/24, 0)

OpenStudy (babynini):

vertex is (0, pm1/6, 0)

OpenStudy (babynini):

asy y=0 pm6/8(x-0)

Nnesha (nnesha):

\(\color{blue}{\text{Originally Posted by}}\) @Babynini so the final answer should be (0, pm5/24, 0) \(\color{blue}{\text{End of Quote}}\) why two zeros ? \[(0 \pm \frac{ 5 }{ 24} , 0)\] \[0 + \frac{ 5 }{ 24 } =? ?\] \[0-\frac{ 5 }{ 24 }=?\]

OpenStudy (babynini):

..oh xD foci: -5/24, 0 5/24, 0

Nnesha (nnesha):

yes right

OpenStudy (babynini):

asy y=pm6/8(x-0)

Nnesha (nnesha):

yep solve that reduce the fraction

OpenStudy (babynini):

or just pm6/8x

Nnesha (nnesha):

reduce the fraction

Nnesha (nnesha):

6/8= ?

OpenStudy (babynini):

xD 3/4

Nnesha (nnesha):

yep right so y = 3/4x

OpenStudy (babynini):

okies :)

Nnesha (nnesha):

done!?

OpenStudy (babynini):

it's all green checks! :) thanks so much

Nnesha (nnesha):

np :-)

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