Find the Standard Form of the Equation of the Ellipse $\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 15 } = 1$

question 16

Multiple Choice

Find the standard form of the equation of the ellipse with the given characteristics and center at the origin. ​
Focies: (±7,0) ;major axis of length 16
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• A) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 15 } = 1\)
• B) \(\frac { x ^ { 2 } } { 64 } - \frac { y ^ { 2 } } { 15 } = 1\)
• C) \(- \frac { x ^ { 2 } } { 15 } + \frac { y ^ { 2 } } { 64 } = 1\)
• D) \(\frac { x ^ { 2 } } { 64 } + \frac { y ^ { 2 } } { 15 } = - 1\)
• E) \(\frac { x ^ { 2 } } { 15 } + \frac { y ^ { 2 } } { 64 } = 1\)

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Definitions:

Differential Carriers

The housing component of a differential in a vehicle's drivetrain that holds the gears and bearings, transferring power from the driveshaft to the axle.

Axle Identification

The process or system used to specify the type, specifications, and applicable vehicle for a particular axle.

Banjo Housing

Differential axle carrier housing, so named because of its banjo shape.

Ring Gear Tooth

A tooth on the outer circumference of a ring gear, which engages with a mating pinion to transmit power in drivetrains.