Determine the Eccentricity of the Hyperbola $$\frac { ( x - 4 ) ^ { 2 } } { 144 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1$$

question 89

Multiple Choice

Determine the eccentricity of the hyperbola.
- $$\frac { ( x - 4 ) ^ { 2 } } { 144 } - \frac { ( y + 2 ) ^ { 2 } } { 25 } = 1$$

• A) \(e = \frac { 13 } { 5 }\)
• B) \(e = 2\)
• C) \(e = \frac { 12 } { 5 }\)
• D) \(e = \frac { 13 } { 12 }\)

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Definitions:

Probability Density Function

A function that describes the relative likelihood for a continuous random variable to occur at a point in the possible range of values.

Uniform Random Variable

A type of continuous random variable where all intervals of the same length have an equal probability of occurring.

Continuous Random Variable

A variable capable of assuming any value out of countless possibilities within a specified interval.

Area Under A Curve

The area under a curve in the context of mathematics and statistics represents the integral of a function and is often used to determine quantities such as total distance or the probability of a given range of values in a probability density function.