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 ->  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


   



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(20056) About Me  (Show Source):
You can put this solution on YOUR website!

You're talking about this ellipse:



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



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+%22%2B%22%2C+y%5E2%2F%284%29%5E2%2C+%22=%22%2C1%29

matrix%281%2C5%2C+x%5E2%2F81%2C+%22%2B%22%2C+y%5E2%2F16%2C+%22=%22%2C1%29

Edwin