An ellipse has a vertex at (4,0), a co-vertex at (0,3), and a center at the origin. which is the equation of the ellipse in standard form?

ANSWER

EXPLANATION

The given ellipse has a vertex at (4,0), a co-vertex at (0,3), and a center at the origin.

The equation of an ellipse with vertices on the x-axis and center at the origin is:

The ellipse has vertex at (4,0) , hence a=4.

Also the co-vertex is at (0,3) , b=3

We substitute the values into the equation to get:

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step-by-step explanation:

v = 1/3 a^2h

step-by-step explanation:

the volume is 1/3 a^2h.