Identify the Conic by Writing the Equation in Standard Form $18 y ^ { 2 } - 24 x ^ { 2 } + 216 y + 336 x - 543 = 0$

question 92

Multiple Choice

Identify the conic by writing the equation in standard form. $18 y ^ { 2 } - 24 x ^ { 2 } + 216 y + 336 x - 543 = 0$

• A) \(\frac { ( y - 6 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 7 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ; ellipse
• B) \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 97 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 97 } { 8 } } = 1\) ; hyperbola
• C) \(\frac { ( y - 6 ) ^ { 2 } } { \frac { 5 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 5 } { 8 } } = 1\) ; hyperbola
• D) \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 5 } { 6 } } - \frac { ( x - 7 ) ^ { 2 } } { \frac { 5 } { 8 } } = 1\) ; hyperbola
• E) \(\frac { ( y + 6 ) ^ { 2 } } { \frac { 149 } { 5 } } + \frac { ( x - 7 ) ^ { 2 } } { \frac { 149 } { 10 } } = 1\) ; ellipse

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Definitions:

Bourgeois Class

The social class that came to own the means of production during modern industrialization, typically referring to the middle and upper classes in capitalist societies.

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A process of improvement in the quality of life of a population, including economic growth, social equity, and environmental sustainability.