Find an Equation for the Ellipse Described $\frac { ( x + 5 ) ^ { 2 } } { 21 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1$

question 29

Multiple Choice

Find an equation for the ellipse described.
-Center at (-4, 5) ; focus at (-6, 5) ; contains the point (-9, 5)

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 21 } + \frac { ( y - 4 ) ^ { 2 } } { 25 } = 1\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 25 } + \frac { ( y - 4 ) ^ { 2 } } { 21 } = 1\)
• C)\(\frac { ( x + 4 ) ^ { 2 } } { 21 } + \frac { ( y - 5 ) ^ { 2 } } { 25 } = 1\)
• D) \(\frac { ( x + 4 ) ^ { 2 } } { 25 } + \frac { ( y - 5 ) ^ { 2 } } { 21 } = 1\)

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Definitions:

Expectancy Model

A motivational theory stating that individuals' motivation is determined by their expected outcomes, based on their efforts and the perceived likelihood of success.

Motivation

The psychological forces that compel an individual to take action towards a desired objective, emphasizing the reasons for specific behaviors.

Behavior

The actions, conduct, or functions of a person or animal in response to external and internal stimuli.

Needs Hierarchy Model

A psychological theory proposed by Abraham Maslow that suggests human needs are arranged in a hierarchy from most to least pressing: physiological needs, safety, love/belonging, esteem, and self-actualization.