Question 853652
What is the equation of an ellipse with a center at (0,0) (the origin), a vertex at (5,0) and minor axis 4 units long?
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Given ellipse has a horizontal major axis:
Its standard form of equation:{{{x^2/a^2+y^2/b^2=1}}}, a>b, (h,k)=coordinates of center
a=5 (distance from center to vertices on the major axis)
a^2=25
length of minor axis=4=2b
b=2
b^2=4
Equation: {{{x^2/25+y^2/4=1}}}