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Unlabeled polygon what is the scale factor of a

Mathematics

1 answer:

ASHA 777 [7]3 years ago

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Center: (6, -12)

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Step-by-step explanation:

<u>Complete the squares</u>

<u /> $x^2+y^2-12x+24y-10=6\\\\x^2-12x-10+y^2+24y=6\\\\x^2-12x-10+46+y^2+24y+144=6+46+144\\\\(x^2-12x+36)+(y^2+24y+144)=196\\\\(x-6)^2+(y+12)^2=196$

Comparing with the standard form equation $(x-h)^2+(y-k)^2=r^2$ , since $r^2=196$ , then the radius of the circle is $r=14$ . Also, the center of the circle would be $(h,k)\rightarrow(6,-12)$ .

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