Find the Standard Form of the Equation of the Hyperbola $$8 x ^ { 2 } - y ^ { 2 } - 80 x - 16 y + 96 = 0$$

question 27

Multiple Choice

Find the standard form of the equation of the hyperbola below.
$$8 x ^ { 2 } - y ^ { 2 } - 80 x - 16 y + 96 = 0$$

• A) \(\frac { ( x - 5 ) ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { ( y + 8 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } = 1\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } + \frac { ( y - 8 ) ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } = 1\)
• C) \(\frac { ( y + 5 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } + \frac { ( x - 8 ) ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } = 1\)
• D) \(\frac { ( y + 5 ) ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { ( x - 8 ) ^ { 2 } } { ( 2 \sqrt { 10 } ) ^ { 2 } } = 1\)
• E) \(\frac { ( y - 5 ) ^ { 2 } } { ( \sqrt { 5 } ) ^ { 2 } } - \frac { ( x + 8 ) ^ { 2 } } { ( 2 \sqrt { 2 } ) ^ { 2 } } = 1\)

Understand the impacts of political efficacy on democratic participation.

Recognize the concept and qualifications of citizenship in the United States.

Comprehend the evolution of naturalization laws and their significance.

Grasp the demographic history of the United States in terms of ancestry and population shifts.

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Definitions:

Single-joint Exercise

A type of workout that engages and isolates one joint, focusing on a specific muscle group.

Bicep Curl

An exercise that targets the biceps muscles by lifting a weight through bending the arm at the elbow.

Voluntary Muscles

Muscles whose movement can be consciously controlled, including skeletal muscles used for walking, writing, and other activities.

Cardiac Muscle

A type of involuntary striated muscle found exclusively in the heart, enabling it to contract and pump blood throughout the body.