Mathematics
7 Online
OpenStudy (anonymous):
help me
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OpenStudy (anonymous):
@LynFran
Nnesha (nnesha):
is it horizontal or vertical ?
OpenStudy (anonymous):
??
Nnesha (nnesha):
is it horizontal ellipse or vertical ellipse?
OpenStudy (anonymous):
idk lol
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OpenStudy (lynfran):
c^2=a^2-b^2
Nnesha (nnesha):
if bigger number under the x coordinate then horizontal
and if it's under the y coordiante then vertical
OpenStudy (anonymous):
so its horizontal
Nnesha (nnesha):
yes right so thats mean you should add c into x coordinate of the center \[\huge\rm (h \pm c,k)\]
now use that equation lynn gave u to find c value
Nnesha (nnesha):
(h,k) is the center
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OpenStudy (anonymous):
ok
Nnesha (nnesha):
btw standard form of ellipse is \[\huge\rm \frac{ (x-h)^2 }{ a^2 } + \frac{ (y-k)^2 }{ b^2 }=1\]
a^2= ??
b^2= ??
in ur question
OpenStudy (anonymous):
yeah how do i found this out
Nnesha (nnesha):
they already in the question
a^2 is under the x
b^2=under the y
OpenStudy (anonymous):
ok sooooo
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Nnesha (nnesha):
substitute a^2 and b^2 value into the equation lynn gave you
c^2=a^2-b^2 then solve for c
OpenStudy (anonymous):
so hard im just now learing this lol
OpenStudy (anonymous):
ohh
Nnesha (nnesha):
thats fine \[\huge\rm \frac{ (x-h)^2 }{ \color{ReD}{a^2 }} + \frac{ (y-k)^2 }{\color{ReD}{ b^2 }}=1\]
\[\huge\rm \frac{ x^2 }{\color{Red}{ 36} }+\frac{ y^2 }{\color{ReD}{ 11} }=1\]
bg number would be `a^2` always!(in ellipse equation)
Nnesha (nnesha):
so a^2 = ?
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OpenStudy (anonymous):
1
Nnesha (nnesha):
no
a^2 is under the x^2 coordinate
OpenStudy (anonymous):
so36
Nnesha (nnesha):
yes right now what is b^2=?
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OpenStudy (anonymous):
11
Nnesha (nnesha):
perfect!
\[\huge\rm c^2=a^2-b^2\]
substitute a^2 and b^2 for their values solve for c
OpenStudy (anonymous):
c^2=-1175
OpenStudy (anonymous):
am i right
Nnesha (nnesha):
ayooo
how :o
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Nnesha (nnesha):
a^2=36
b^2=11
it's already squared you don't need to square them again
OpenStudy (anonymous):
sooo
Nnesha (nnesha):
so.. substitute a^2 for 36
and b^2 for 11
OpenStudy (anonymous):
25
OpenStudy (anonymous):
so c^2=25
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Nnesha (nnesha):
yes right now take square root both sides to cancel out the square
OpenStudy (anonymous):
so c=5
Nnesha (nnesha):
yes right now what's the center point ?
OpenStudy (anonymous):
idk
Nnesha (nnesha):
\[\huge\rm \frac{ (x-\color{reD}{h})^2 }{ a^2 } + \frac{ (y-\color{ReD}{k})^2 }{ b^2 }=1\] are there any h and k value at the numerator ?
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OpenStudy (anonymous):
??
Nnesha (nnesha):
look at the original equation is there any number with x ?
OpenStudy (anonymous):
yeah its sqared
Nnesha (nnesha):
not square
(x-3)^2 then h would be 3
for this equation center point is (0,0)
Nnesha (nnesha):
so formula for foci is \[\huge\rm (h \pm c,k)\] where (h,k) is the center (0,0)
c=5
substitute variables for values