The solid below is dilated by a scale factor of 5. Find the surface area of the solid created upon
dilation.

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Ответ:

ultimatesaiyan

01.12.2021

Mathematics

The correct option is

(D) (x+3)^2+(y+5)^2=36.

Step-by-step explanation: We are given to select the equation that represents a circle with a center at (–3, –5) and a radius of 6 units.

We know that

the standard equation of a circle with center (h, k) and radius r units is given by

(x-h)^2+(y-k)^2=r^2.

In the given circle, we have

(h, k) = (-3, -5) and r = 6.

Therefore, the equation of the circle is

$(x-(-3))^2+(y-(-5))^2=6^2\\\\\Rightarrow (x+3)^2+(y+5)^2=36.$

Thus, the required equation of the circle is

(x+3)^2+(y+5)^2=36.

Option (D) is CORRECT.

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The solid below is dilated by a scale factor of 5. Find the surface area of the solid created upon dilation.