Respuesta :

Answer:

center: (-3, -10)

radius: 15 units

Explanation:

The equation of a circle with center (h, k) and radius r has the following form:

[tex](x-h)^2+(y-k)^2=r^2[/tex]

So, rewriting the equation of the circle, we get:

[tex]\begin{gathered} (x+3)^2+(y+10)^2=225 \\ (x-(-3))^2+(y-(-10))^2=15^2 \end{gathered}[/tex]

Therefore, the center of the circle is the point (-3, -10) and the radius is 15 units.

Then, the answers are:

center: (-3, -10)

radius: 15 units

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