Complete the Square to Determine the Type of Curve Represented $4 x ^ { 2 } + 9 y ^ { 2 } - 16 x - 20 = 0$

question 53

Multiple Choice

Complete the square to determine the type of curve represented by the equation. $4 x ^ { 2 } + 9 y ^ { 2 } - 16 x - 20 = 0$

• A) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { ( y + 2 ) ^ { 2 } } { 4 } = 1\)
• , ellipse
• B) \(9 ( x - 2 ) ^ { 2 } - 4 y ^ { 2 } = 9\)
• , hyperbola
• C) \(\frac { x ^ { 2 } } { 9 } + \frac { ( y - 2 ) ^ { 2 } } { 4 } = 1\)
• , ellipse
• D) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } - \frac { y ^ { 2 } } { 4 } = 1\)
• , hyperbola
• E) \(\frac { ( x - 2 ) ^ { 2 } } { 9 } + \frac { y ^ { 2 } } { 4 } = 1\)
• , ellipse

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Definitions:

Postponing Action

Delaying or deferring an activity or decision to a later time.

Clear

Easily understood, free from confusion or ambiguity.

Impediments

Obstacles or barriers that hinder progress or the achievement of objectives.

Organizational Setting

The context within which an organization operates, including its culture, structure, and external environment.