Write the Standard Form of the Equation of the Hyperbola $( 2,10 ) , ( 2,0 ) , ( - 10,10 ) , ( - 10,0 )$

question 29

Multiple Choice

Write the standard form of the equation of the hyperbola subject to the given conditions.
-Corners of the reference rectangle: $( 2,10 ) , ( 2,0 ) , ( - 10,10 ) , ( - 10,0 )$ ; Horizontal transverse axis

• A) \(\frac { ( x - 4 ) ^ { 2 } } { 36 } - \frac { ( y + 5 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x + 4 ) ^ { 2 } } { 36 } - \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1\)
• C) \(\frac { ( y - 5 ) ^ { 2 } } { 25 } - \frac { ( x + 4 ) ^ { 2 } } { 36 } = 1\)
• D) \(\frac { ( y + 4 ) ^ { 2 } } { 36 } - \frac { ( x - 5 ) ^ { 2 } } { 25 } = 1\)

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Definitions:

Stirrup

A small bone in the middle ear, also known as the stapes, that plays a crucial role in transmitting sound vibrations to the inner ear.

Inner Ear

The inner ear is the internal part of the ear, containing the cochlea, vestibule, and semicircular canals, which are essential for hearing and balance.

Outer Ear

The external portion of the ear, including the pinna and the ear canal, which collects sound and directs it towards the middle and inner ear.

Pinna

The visible part of the ear that resides outside the head, which serves to collect and direct sound waves into the ear canal.