Your equation is a circle where the center is the origin (0, 0) and the radius is 5. With the translation, the new center is (- 7, - 2). Radius stays the same.
Your new equation is:
(x + 7)² + (y + 2)² = 25
Answer:

Step-by-step explanation:
step 1
Find the area of the plate
The area of a circle is given by the formula

we have
---> the radius is half the diameter
substitute

step 2
Find the area of the square napkin folded (is a half of the area of the square napkin)
we know that
The diagonal of the square is the same that the diameter of the plate
Applying Pythagorean theorem

where
b is the length side of the square
we have

substitute

solve for b^2
-----> is the area of the square
Divide by 2

step 3
Find the area of the space on the plate that is NOT covered by the napkin
we know that
The area of the space on the plate that is NOT covered by the napkin, is equal to subtract the area of the square napkin folded (is a half of the area of the square napkin) from the area of the plate
so

simplify

6n because 5n +n =6 its probably wrong so hope its right??????
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1 foot is 12 inches
Thus 2 feet is 24 inches
Substitute values into equation:
volume = 24 x 24 x 24
volume = 13824
Your answer is option D
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The two angles shown are supplementary angles, meaning that there sum equals 180. Knowing this you can set up an equation and solve for h...
3h + 18 + 15h = 180
Combine like terms
18h + 18 = 180
Subtract 18 to both sides
18h + (18 -18) = 180 - 18
18h = 162
Isolate h by dividing 18 to both sides
18h/18 = 162 /18
h = 9
Hope this helped!