HoraceF306207 HoraceF306207
  • 26-10-2022
  • Mathematics
contestada

Please help with question!! and I need to find the center of the circlealso

Please help with question and I need to find the center of the circlealso class=

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DavidsonV196425 DavidsonV196425
  • 26-10-2022

Given:

[tex]x^2+y^2-8x-12y+3=0[/tex]

First, find the center and radius of the circle.

[tex]\begin{gathered} x^2+y^2-8x-12y+3=0 \\ \mleft(x-4\mright)^2+\mleft(y-6\mright)^2=7^2 \\ (x-h)^2+(y-k)^2=r^2 \\ (h,k)=\text{ center} \\ r=\text{ radius} \end{gathered}[/tex]

The center of the circle is (4,6) and the radius is 7.

The graph of the circle is,

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