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14 What is the radius of the circle in the xy-plane defined by x + 2 + y + 5 = 169? ^ h^2 ^ h^2
Correct answer: 13 (parsed from the explanation — this source omits an answer key for this item)
Explanation
13 The correct answer is . The equation of a circle in the xy-plane can be written in - 2+ - 2= 2 the form ^x hh ^y kh r , where ^h,kh is the center of the circle and r is the radius of the circle. It’s given that the circle in the xy-plane is defined by +2 2+ +5 2=169 2=169 ^x h ^y h . Therefore, r . Taking the positive square root of =13 13 both sides of this equation yields r . Thus, the radius of the circle is .
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