SOLUTION: find an equation of the ellipse having foci (-1,0) and (7,0) and with 10 as the sum of the focal radi

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Question 877541: find an equation of the ellipse having foci (-1,0) and (7,0) and with 10 as the sum of the focal radi
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
find an equation of the ellipse having foci (-1,0) and (7,0) and with 10 as the sum of the focal radii.
foci coordinates show ellipse has a horizontal major axis.
Its standard form of equation:%28x-h%29%5E2%2Fa%5E2%2B%28y-k%29%5E2%2Fb%5E2, a>b, (h,k)=coordinates of center
For given ellipse:
center: (3,0)
sum of the focal radii=10=length of major axis=2a
a=5
a^2=25
c=4
c^2=16
c^2=a^2-b^2
b^2=a^2-c^2=25-16=9
equation:%28x-3%29%5E2%2F25%2By%5E2%2F9