SOLUTION: The center is the origin, 1/2=c/a, and the length of the horizontal semi-major axis is 10 units. Write the equation of the ellipse that meets each set of conditions.

Question 726808: The center is the origin, 1/2=c/a, and the length of the horizontal semi-major axis is 10 units.
Write the equation of the ellipse that meets each set of conditions.
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The center is the origin, 1/2=c/a, and the length of the horizontal semi-major axis is 10 units.
Write the equation of the ellipse that meets each set of conditions.
***
Standard form of equation for an ellipse with horizontal major axis:
, a>b, (h,k)=(x,y) coordinates of center
For given ellipse:
center: (0,0)
a=10
a^2=100
eccentricity=c/a=1/2
c=a/2=10/2=5
c^2=25
c^2=a^2-b^2
b^2=a^2-c^2=100-25=75
Equation of given ellipse:

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