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Convert the Equation to the Standard Form for an Ellipse 36x2+16y2+216x64y188=036 x ^ { 2 } + 16 y ^ { 2 } + 216 x - 64 y - 188 = 0

Question 182

Multiple Choice

Convert the equation to the standard form for an ellipse by completing the square on x and y.
- 36x2+16y2+216x64y188=036 x ^ { 2 } + 16 y ^ { 2 } + 216 x - 64 y - 188 = 0


A) (x+3) 216+(y2) 236=1\frac { ( x + 3 ) ^ { 2 } } { 16 } + \frac { ( y - 2 ) ^ { 2 } } { 36 } = 1
B) (x2) 216+(y+3) 236=1\frac { ( x - 2 ) ^ { 2 } } { 16 } + \frac { ( y + 3 ) ^ { 2 } } { 36 } = 1
C) (x+3) 236+(y2) 216=1\frac { ( x + 3 ) ^ { 2 } } { 36 } + \frac { ( y - 2 ) ^ { 2 } } { 16 } = 1
D) (x3) 216+(y+2) 236=1\frac { ( x - 3 ) ^ { 2 } } { 16 } + \frac { ( y + 2 ) ^ { 2 } } { 36 } = 1

Correct Answer:

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