Identify the Conic by Writing the Equation in Standard Form $4 x ^ { 2 } + 9 y ^ { 2 } + 40 x + 54 y + 145 = 0$

question 551

Multiple Choice

Identify the conic by writing the equation in standard form. $4 x ^ { 2 } + 9 y ^ { 2 } + 40 x + 54 y + 145 = 0$

• A) \(\frac { ( x + 5 ) ^ { 2 } } { 9 } + \frac { ( y + 3 ) ^ { 2 } } { 4 } = 1\) ; ellipse
• B) \(( 3 x + 5 ) ^ { 2 } + ( 2 y + 1 ) ^ { 2 } = 167\) ; circle
• C) \(\frac { ( x + 5 ) ^ { 2 } } { \frac { 422 } { 9 } } + \frac { ( y + 3 ) ^ { 2 } } { \frac { 211 } { 2 } } = 1\) ; ellipse
• D) \(\frac { ( x + 5 ) ^ { 2 } } { \frac { 73 } { 3 } } + \frac { ( y + 3 ) ^ { 2 } } { \frac { 219 } { 4 } } = 1\) ; ellipse
• E) \(\frac { ( x + 5 ) ^ { 2 } } { \frac { 167 } { 9 } } + \frac { ( y + 3 ) ^ { 2 } } { \frac { 167 } { 4 } } = 1\) ; ellipse

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Definitions:

USGS Geologist

A scientist specializing in the study of the Earth and its processes, who works for the United States Geological Survey.

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