SOLUTION: An elliptical riding path is to be built on a rectangular piece of property, as shown below. A vertical ellipse is shown centered on the coordinate plane, surrounded by a recta

Algebra ->  Rational-functions -> SOLUTION: An elliptical riding path is to be built on a rectangular piece of property, as shown below. A vertical ellipse is shown centered on the coordinate plane, surrounded by a recta      Log On


   



Question 1027924: An elliptical riding path is to be built on a rectangular piece of property, as shown below.
A vertical ellipse is shown centered on the coordinate plane, surrounded by a rectangle of equal length and width.
The rectangular piece of property measures 8 mi by 6 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.

Answer by robertb(5830) About Me  (Show Source):
You can put this solution on YOUR website!
The major axis should be along the y-axis, with vertices (0,4) and (0,-4).
The minor axis should be along the x-axis, with co-vertices (-3,0) and (3,0).
==> The equation is x%5E2%2F9+%2B+y%5E2%2F16+=+1.