Obtenha o raio e o centro : x^2 + y^2 -4x - 8y + 16 = 0.... Pergunta de ideia demaicon88

July 2022 1 76 Report

Obtenha o raio e o centro :

x^2 + y^2 -4x - 8y + 16 = 0

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matheus6tico Complete os quadrados na equação
$x^{2} + y^{2} -4x-8y+16=0 \\ x^{2} -4x -----\ \textgreater \ x^2-4x+2^2==(x-2)^2 \\ y^2-8y-----\ \textgreater \ y^2-8y+4^2==(y-4)^2 \\ x^2+y^2-4x-8y=-16 \\ (x-2)^2+(y-4)^2=-16+16+4 \\ Centro=(2;4);;;R=2$

lembre-se: (x-a)²+(y-b)²=r²

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