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Write the Given Equation in the Form (xh)2+(yk)2=r2( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 }

Question 272

Multiple Choice

Write the given equation in the form (xh) 2+(yk) 2=r2( x - h ) ^ { 2 } + ( y - k ) ^ { 2 } = r ^ { 2 } . Identify the center and radius.
- x2+y2+22x+21=0x ^ { 2 } + y ^ { 2 } + 22 x + 21 = 0


A) (x+22) 2+y2=21( x + 22 ) ^ { 2 } + y ^ { 2 } = 21
Center: (22,0) ;r=21( - 22,0 ) ; r = 21

B) (x+22) 2+y2=21( x + 22 ) ^ { 2 } + y ^ { 2 } = 21
Center: (0,22) ;r=21( 0,22 ) ; r = 21

C) (x+11) 2+y2=100( x + 11 ) ^ { 2 } + y ^ { 2 } = 100
Center: (11,0) ;r=10( - 11,0 ) ; r = 10

D) (x+11) 2+y2=100( x + 11 ) ^ { 2 } + y ^ { 2 } = 100
Center: (0,11) ;r=10( 0,11 ) ; r = 10

Correct Answer:

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