Mohammed wants to prove that circle c with center (-4,8) and radius d with center (4,-8) and radius 8. He plans to do so by mapping C onto D using a sequence of similarity transformations. Which sequence should he use? A. Translation 8 units right and 16 up, then dilation with center(-4,8) and scale factor 2/3

B. Translation 8 units left and 16 units up, then dilation with center (-4,8) and scale factor 3/2

C. Translation 8 units left and 16 units down, then dilation with center (4,-8) and scale factor 3/2

D. Translation 8 units right and 16 units down, then dilation with center (4,-8) and scale factor 2/3

d. $180

step-by-step explanation:

if the dimensions of the room is 9ft by 12 ft, we have the area of the floor as,

so the area of the floor is 108 square feet, converting that into square yards we get,

the cost of carpet is $15 per square yard, therefore the cost of carpet for 12 square yards is,

hence, the cost of carpet is $180.

assuming the dimensions of the room be,

15 ft by 12 ft

so, the area of the floor of that room is,

we can convert 180 square feet into square yards, we know that,

1 sq ft = 0.111 sq yard

so, 180 square feet is,

so the area of floor is 20 square yards.

now, the cost of carpet is 15 dollars per square yard, therefore the cost of carpet for 20 square yards is,

so, it will cost $300.

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.