SOLUTION: Write the equation for the ellipse whose center is the origin, with a vertical minor axis of length 6, and a horizontal major axis of length 10

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Question 629936: Write the equation for the ellipse whose center is the origin, with a vertical minor axis of length 6, and a horizontal major axis of length 10
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!
 

Hi,

ellipse with C(0,0), a vertical minor axis of length 6, and a horizontal major axis of length 10

  x%5E2%2F5%5E2+%2B+y%5E2%2F3%5E2+=+1   F%5BD%5D+=+sqrt%2825-9%29+=+sqrt%2816%29+=+4

 Standard Form of an Equation of an Ellipse is %28x-h%29%5E2%2Fa%5E2+%2B+%28y-k%29%5E2%2Fb%5E2+=+1+ 

where Pt(h,k) is the center. (a variable positioned to correspond with major axis)

 a and b  are the respective vertices distances from center

 and ±sqrt%28a%5E2-b%5E2%29are the foci distances from center: a > b