Find the Center, Vertices, and Foci of the Ellipse with the Given

question 128

Multiple Choice

Find the center, vertices, and foci of the ellipse with the given equation.
- $$\frac { ( x - 4 ) ^ { 2 } } { 64 } + \frac { ( y - 2 ) ^ { 2 } } { 100 } = 1$$

• A) Center: \(( 4,2 )\); Vertices: \(( 4 , - 8 ) , ( 4,12 )\); Foci: \(( - 6,2 ) , ( 10,2 )\)
• B) Center: \(( 4,2 )\); Vertices: \(( - 8,2 ) , ( 12,2 )\); Foci: \(( - 4,4 ) , ( 8,4 )\)
• C) Center: \(( 4,2 )\); Vertices: \(( - 8,2 ) , ( 12,2 )\); Foci: \(( 4 , - 6 ) , ( 4,10 )\)
• D) Center: \(( 4,2 )\); Vertices: \(( 4 , - 8 ) , ( 4,12 )\); Foci: \(( 4 , - 4 ) , ( 4,8 )\)

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Definitions:

Skills Model

A framework suggesting that effective leadership is based on certain learnable skills, including technical, human, and conceptual skills.

Katz's Conceptual Skill

The ability to understand complex situations and devise effective solutions, often discussed as a key leadership skill.

Knowledge Competency

The ability to effectively apply and use relevant knowledge in a specific area or field to achieve desired results.

Katz's Model

A theory developed by Robert Katz that identifies three essential skills for effective leadership: technical, human, and conceptual skills.