An ellipse has a vertex at (-5,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in standard form?

Question

Mathematics

Gretchen Carroll

30 March, 09:17

An ellipse has a vertex at (-5,0), a co-vertex at (0,4), and a center at the origin. Which is the equation of the ellipse in standard form?

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Answers (1)

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Misael Irwin · Answer 1

The standard form of an ellipse is expressed as x2/a + y2/b = 1 where a and b are the major and minor axes. In this case, the center is (0,0) a is equal to 5 and b is equal to 4. hence the equation becomes x2/25 + y2/16 = 1. This is the final answer to the problem.