SOLUTION: The instructions say "write each equation of each ellipse in standard for with center form with center at the origin and witH the given characteristics." The problem is height 8; w

Algebra ->  Algebra  -> Quadratic-relations-and-conic-sections -> SOLUTION: The instructions say "write each equation of each ellipse in standard for with center form with center at the origin and witH the given characteristics." The problem is height 8; w      Log On

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Question 173937: The instructions say "write each equation of each ellipse in standard for with center form with center at the origin and witH the given characteristics." The problem is height 8; width 18
Answer by Edwin McCravy(6941) About Me  (Show Source):
You can put this solution on YOUR website!

You're talking about this ellipse:

drawing%28400%2C200%2C-10%2C10%2C-5%2C5%2C%0D%0Agraph%28400%2C200%2C-10%2C10%2C-5%2C5%2C%281%2F9%29%2Asqrt%281296-16%2Ax%5E2%29+%29%2C%0D%0Agraph%28400%2C200%2C-10%2C10%2C-5%2C5%2C+-sqrt%281296-16x%5E2%29%2F9++%29%0D%0A%29

The equation of an ellipse with center at the origin is:

matrix%281%2C5%2C+x%5E2%2F%28half_the_width%29%5E2%2C+%27%2B%27%2C+y%5E2%2F%28half_the_height%29%5E2%2C+%27=%27%2C1%29

Half the width is 1%2F2 of 18 or 9.
Half the height is 1%2F2 of 8 or 4.

Therefore the equation is

matrix%281%2C5%2C+x%5E2%2F%289%29%5E2%2C+%27%2B%27%2C+y%5E2%2F%284%29%5E2%2C+%27=%27%2C1%29

matrix%281%2C5%2C+x%5E2%2F81%2C+%27%2B%27%2C+y%5E2%2F16%2C+%27=%27%2C1%29

Edwin