Find an Equation for the Hyperbola Described $( 0 , \pm 10 )$

question 91

Multiple Choice

Find an equation for the hyperbola described.
-Vertices at $( 0 , \pm 10 )$ ; asymptotes at $y = \pm \frac { 5 } { 3 } x$

• A) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 36 } = 1\)
• B) \(\frac { y ^ { 2 } } { 9 } - \frac { x ^ { 2 } } { 25 } = 1\)
• C) \(\frac { y ^ { 2 } } { 36 } - \frac { x ^ { 2 } } { 100 } = 1\)
• D) \(\frac { y ^ { 2 } } { 100 } - \frac { x ^ { 2 } } { 9 } = 1\) 5

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Definitions:

Predictability

The degree to which future events or outcomes can be forecasted based on current or past data.

Motor Action

The process of initiating, guiding, and executing physical movements through muscle activation.

Ataxia

A neurological sign consisting of lack of voluntary coordination of muscle movements, which can include gait abnormality, speech changes, and abnormalities in eye movements.