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Answer to Question #45105 in Analytic Geometry for shasha
Question #45105
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 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
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 10 mi by 4 mi. Find an equation for the ellipse if the path is to touch the center of the property line on all 4 sides.
Expert's answer
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Comments
You are right. If the ellipse is horizontal, then the answer is (x² / 25) + (y² / 4) = 1. If the ellipse is vertical, then the answer is (x² / 4) + (y² / 25) = 1.
This is partially right. The question specifies that it is a vertical ellipse. The answer above shows a horizontal ellipse. The right answer would be (x² / 4) + (y² / 25) = 1.
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