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Write an Equation for the Hyperbola xx -Intercepts (±8,0)( \pm 8,0 )

Question 172

Multiple Choice

Write an equation for the hyperbola.
- xx -intercepts (±8,0) ( \pm 8,0 ) , foci at (−89,0) ,(89,0) ( - \sqrt { 89 } , 0 ) , ( \sqrt { 89 } , 0 )


A) x264−y225=1\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 25 } = 1

B) x289−y264=1\frac { x ^ { 2 } } { 89 } - \frac { y ^ { 2 } } { 64 } = 1

C) x264−y289=1\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 89 } = 1

D) x225−y264=1\frac { x ^ { 2 } } { 25 } - \frac { y ^ { 2 } } { 64 } = 1

Correct Answer:

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