Find the Standard Form of the Equation of the Hyperbola $( \pm 10,0 )$

question 101

Multiple Choice

Find the standard form of the equation of the hyperbola with the given characteristics and center at the origin.
Foci: $( \pm 10,0 )$ ; asymptotes: $y = \pm \frac { 3 } { 4 } x$

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

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Sense Organs

Parts of the body that are specifically designed to receive and process sensory information, such as eyes, ears, nose, tongue, and skin.

Spinal Cord

An elongated part of the central nervous system encased within the spine that transmits nerve signals between the brain and the rest of the body.

Medulla

The medulla is a part of the brainstem responsible for controlling vital bodily functions, such as breathing, heart rate, and blood pressure.

Limbic System

A complex system of nerves and networks in the brain, associated with basic emotions and drives.