Question

Which two statements are true? Choices and equation are attached.

Answer 1

Answer:

As

• The center of the circle is (-6, 11)

• The radius of the circle is 6

Therefore, the statements A and C are true.

Step-by-step explanation:

Given the equation of the circle

$\left(x+6\right)^2+\left(y-11\right)^2=36$

$\left(x-a\right)^2+\left(y-b\right)^2=r^2$

$\mathrm{is\:the\:circle\:equation\:with\:a\:radius\:r,\:centered\:at}\:\left(a,\:b\right)$

$\mathrm{Rewrite}\:\left(x+6\right)^2+\left(y-11\right)^2=36\:\mathrm{in\:the\:form\:of\:the\:standard\:circle\:equation}$

$\left(x-\left(-6\right)\right)^2+\left(y-11\right)^2=6^2$

$\mathrm{Therefore\:the\:circle\:properties\:are:}$

$\left(a,\:b\right)=\left(-6,\:11\right),\:r=6$

Thus,

• The center of the circle is (-6, 11)

• The radius of the circle is 6

Therefore, the statements A and C are true.