SOLUTION: write an equation of an ellipse in standard form with the center at the origin and the given characteristics. Vertex at (-5,0) and co-vertex (0,4)

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Question 1138673: write an equation of an ellipse in standard form with the center at the origin and the given characteristics.
Vertex at (-5,0) and co-vertex (0,4)
Answer by ikleyn(52788) About Me  (Show Source):
You can put this solution on YOUR website!
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From the condition, the major axis is horizontal coinciding with x-axis and the major semi-axis is 5 units long;


the minor axis is vertical coinciding with y-axis and the minor semi-axis is 4 units long.


Therefore, the ellipse with given properties has the canonical equation


x%5E2%2F5%5E2 + y%5E2%2F4%5E2 = 1.      ANSWER

Solved.

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On canonical equation of an ellipse see the lesson
    - Ellipse definition, canonical equation, characteristic points and elements
in this site.