Write the Standard Form of the Equation of the Hyperbola $( - 2,5 ) , ( 10,5 ) ;$

question 10

Multiple Choice

Write the standard form of the equation of the hyperbola subject to the given conditions.
-Vertices: $( - 2,5 ) , ( 10,5 ) ;$ eccentricity $\frac { 5 } { 3 }$

• A) \(\frac { ( x - 4 ) ^ { 2 } } { 36 } - \frac { ( y - 5 ) ^ { 2 } } { 64 } = 1\)
• B) \(\frac { ( x + 4 ) ^ { 2 } } { 36 } - \frac { ( y + 5 ) ^ { 2 } } { 64 } = 1\)
• C) \(\frac { ( y - 5 ) ^ { 2 } } { 64 } - \frac { ( x - 4 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( y - 4 ) ^ { 2 } } { 36 } - \frac { ( x - 5 ) ^ { 2 } } { 64 } = 1\)

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