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.
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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 :)
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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 :)
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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 = ?
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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
\[\huge\rm (h + a , k) and ( h -a ,k)\]
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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
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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
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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 \[(0 \pm \frac{ 5 }{ 24} , 0)\]
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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)
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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
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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= ?
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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
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