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Determine the Two Equations Necessary to Graph the Ellipse with a Graphing

Question 42

Multiple Choice

Determine the two equations necessary to graph the ellipse with a graphing calculator.
- x281+y264=1\frac { x ^ { 2 } } { 81 } + \frac { y ^ { 2 } } { 64 } = 1


A) y=881x29y = \frac { 8 \sqrt { 81 - x ^ { 2 } } } { 9 } and y=881x29y = - \frac { 8 \sqrt { 81 - x ^ { 2 } } } { 9 }

B) x=576x28x = \sqrt { \frac { 576 - x ^ { 2 } } { 8 } } and x=576y28x = - \sqrt { \frac { 576 - y ^ { 2 } } { 8 } }

C) y=881x281\mathrm { y } = \frac { 8 \sqrt { 81 - \mathrm { x } ^ { 2 } } } { 81 } and y=881+x281\mathrm { y } = - \frac { 8 \sqrt { 81 + \mathrm { x } ^ { 2 } } } { 81 }

D) x=981y264x = \frac { 9 \sqrt { 81 - y ^ { 2 } } } { 64 } and x=981y264x = - \frac { 9 \sqrt { 81 - y ^ { 2 } } } { 64 }

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