Find the Standard Form of the Equation of the Hyperbola $\frac { ( y - 1 ) ^ { 2 } } { 9 } - \frac { ( x - 1 ) ^ { 2 } } { 16 } = 1$

question 176

Multiple Choice

Find the standard form of the equation of the hyperbola.
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• A) \(\frac { ( y - 1 ) ^ { 2 } } { 9 } - \frac { ( x - 1 ) ^ { 2 } } { 16 } = 1\)
• B) \(\frac { ( y - 1 ) ^ { 2 } } { 16 } - \frac { ( x - 1 ) ^ { 2 } } { 9 } = 1\)
• C) \(\frac { ( x - 1 ) ^ { 2 } } { 16 } - \frac { ( y - 1 ) ^ { 2 } } { 9 } = 1\)
• D) \(\frac { ( x - 1 ) ^ { 2 } } { 9 } - \frac { ( y - 1 ) ^ { 2 } } { 16 } = 1\)

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Definitions:

Utilitarian Theory

An ethical theory that posits the best action is the one that maximizes utility, typically defined as that which produces the greatest well-being of the greatest number of people.

Consequentialist Theory

A normative ethical theory that judges actions based on their consequences or outcomes.

Rawls Theory

A concept of justice as fairness, proposing principles of justice to structure society, formulated by philosopher John Rawls.

Equal Liberty

The principle that all individuals should have the same freedom and rights under the law.