An Arch Is a Semi-Ellipse 16 Meters Wide and 8 $\quad \frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 8 } = 1$

question 46

Multiple Choice

An arch is a semi-ellipse 16 meters wide and 8 meters high. Write the equation of the ellipse if the ellipse is centered at the origin.

• A) \(\quad \frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 8 } = 1\)
• B) \(\quad \frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 64 } = 1\)
• C) \(\quad \frac { x ^ { 2 } } { 8 } + \frac { y ^ { 2 } } { 16 } = 1\)
• D) \(\quad \frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 64 } = 1\)
• E) none of these

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