Identify the Type of Graph $$- x ^ { 2 } - 10 x + 6 y ^ { 2 } + 12 y = 16$$

question 118

Multiple Choice

Identify the type of graph.
- $$- x ^ { 2 } - 10 x + 6 y ^ { 2 } + 12 y = 16$$

• A) The graph is an ellipse with center \(\left( - \frac { 6 } { 5 } , 2 \right)\).
• B) The graph is a circle with center \(\left( \frac { 6 } { 5 } , - 2 \right)\).
• C) The equation has no graph.
• D) The graph is a hyperbola opening to the right and left.

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Definitions:

Explanation

The act of making something clear or understandable through detailed information or reasons.

Management

The process of dealing with or controlling things or people, often within a business or organization.

Scientific Management

A management theory that analyzes and synthesizes workflows to improve economic efficiency, especially labor productivity.

Frederick Taylor

A mechanical engineer who is considered the father of scientific management, focusing on improving economic efficiency and labor productivity through systematic study.