The blue shape is a dilation of the black shape. What is the scale factor of the dilation?

Step-by-step explanation:

We are going to evaluate a vertex of both forms.

blue shape:

(-5.10)

black shape:

(-1,2)

As one figure is the dilatation of another then:

k (-1,2) = (- 5,10)

From here we know:

-k = -5

Equivalently:

2k = 10

Where we conclude:

k = 5

The scale factor of the dilation is:

k = 5

he can buy 4lbs. of live bait and 1lbs of natural bait

step-by-step explanation:

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.