SOLUTION: write the equation for the ellipse and find your foci points: v1 and v2: (-9,5) and (7,5) cv1 and cv2: (-1,11) and (-1, -1) I attempted this problem and found that my center wa

Algebra ->  Quadratic-relations-and-conic-sections -> SOLUTION: write the equation for the ellipse and find your foci points: v1 and v2: (-9,5) and (7,5) cv1 and cv2: (-1,11) and (-1, -1) I attempted this problem and found that my center wa      Log On


   



Question 872135: write the equation for the ellipse and find your foci points:
v1 and v2: (-9,5) and (7,5)
cv1 and cv2: (-1,11) and (-1, -1)
I attempted this problem and found that my center was at (-1, 5)
the equation formula that I have to use is (x-h)^2 + (y-k)^2
all over a^2 b^2

Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
write the equation for the ellipse and find your foci points:
v1 and v2: (-9,5) and (7,5)
cv1 and cv2: (-1,11) and (-1, -1)
***
Given ellipse has a horizontal major axis
Its standard form of equation: %28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2=1a>b, (h,k)=coordinates of center
center: (-1,5)
length of horizontal major axis=16=2a
a=8
a^2=64
length of co-vertices=12=2b
b=6
b^2=36
c^2=a^2-b^2=64-36=28
c=√28
foci:(√28,5),(-√28,5)
equation of given ellipse: %28x%2B1%29%5E2%2F64%2B%28y-5%29%5E2%2F36=1