Write an Equation for the Hyperbola $( 6 - 2 \sqrt { 29 } , 9 ) , ( 6 + 2 \sqrt { 29 } , 9 )$

question 51

Multiple Choice

Write an equation for the hyperbola.
-foci at $( 6 - 2 \sqrt { 29 } , 9 ) , ( 6 + 2 \sqrt { 29 } , 9 )$ ; eccentricity $\frac { 2 \sqrt { 29 } } { 10 }$

• A) \(\frac { ( x - 6 ) ^ { 2 } } { 100 } - \frac { ( y - 9 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( y + ) ^ { 2 } } { 100 } - \frac { ( x + 9 ) ^ { 2 } } { 16 } = 1\)
• C) \(\frac { ( y + 9 ) ^ { 2 } } { 100 } - \frac { ( x + 6 ) ^ { 2 } } { 16 } = 1\)
• D) \(\frac { ( y - 9 ) ^ { 2 } } { 100 } - \frac { ( x + 6 ) ^ { 2 } } { 16 } = 1\)

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Definitions:

Nasal Cavity

The Nasal Cavity is the air passage starting at the nostril and extending to the back of the throat that functions in breathing, smelling, and filtering particulates from inhaled air.

Alimentary Canal

The alimentary canal is the whole passage along which food passes through the body from mouth to anus, including the esophagus, stomach, and intestines, digesting and absorbing food along the way.

Esophagus

The muscular tube that transports food from the throat to the stomach by a series of coordinated muscle movements.

Oral Cavity

The mouth’s interior space, including the lips, gums, front portion of the tongue, and teeth, which plays a role in speech, digestion, and respiration.