Respuesta :

Answer:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

Step-by-step explanation:

Use the circle equation, [tex]( x - h )^2 + ( y - k )^2 = r^2[/tex]

Plug in the center and radius:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 6^2[/tex]

Simplify:

[tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

So, the equation is [tex]( x + 4 )^2 + ( y - 7 )^2 = 36[/tex]

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