Question 689523: how do you
Write the standard equation for the ellipse with the given characteristics Foci: (5, 0), (-5, 0) Vertices: (9, 0), (-9, 0)
Answer by lwsshak3(11628)   (Show Source):
You can put this solution on YOUR website! Write the standard equation for the ellipse with the given characteristics Foci: (5, 0), (-5, 0) Vertices: (9, 0), (-9, 0)
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This is an ellipse with horizontal major axis.
Its standard form of equation:  , a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (0,0)
a=9 (center to vertex on the major axis)
a^2=81
c=5 (center to foci on the major axis)
c^2=25
c^2=a^2-b^2
b^2=a^2-c^2=81-25=56
equation:
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