Question 878101
Given an ellipse whose major axis has a length of 8 and whose minor axis has a length of 6, what is the equation in standard form of the ellipse?
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Next time please specify whether major axis is horizontal or vertical.
For this problem, I will assume major axis is horizontal.
Its standard form of equation: {{{(x-h)^2/a^2+(y-k)^2/b^2=1}}}, a>b, (h,k)=coordinates of center
For given problem:
center: (0,0)
length of horizontal major axis=8=2a
a=4
a^2=16
length of minor axis=6=2b
b=3
b^2=9
equation: {{{x^2/16+y^2/9=1}}}