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QuizMultiple Choice

Applications of Conics

Question 1 • Precalculus

A carpenter designs a tabletop in the shape of an ellipse 7 feet long and 4 feet wide. The carpenter sketches a drawing of the tabletop on a coordinate plane. The center of the tabletop is at the origin, the length falls along the x-axis, and the width falls along the y-axis. Which equation represents the tabletop?

Answer
A
StartFraction x squared Over 49 EndFraction + StartFraction y squared Over 16 EndFraction = 1
Option A
B
StartFraction y squared Over 49 EndFraction + StartFraction x squared Over 16 EndFraction = 1
Option B
C
StartFraction x squared Over 12.25 EndFraction + StartFraction y squared Over 4 EndFraction = 1
Option C
D
StartFraction y squared Over 12.25 EndFraction + StartFraction x squared Over 4 EndFraction = 1
Option D
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