A construction crew is lengthening a road. The road started with a length of 51 miles, and the crew is adding 3 miles to the road each day. Let L represent the total length of the road (in miles), and let D represent the number of days the crew has worked. Write an equation relating to . Then use this equation to find the total length of the road after the crew has worked 32 days.

111 miles

Step-by-step explanation:

L(D) = 15 miles + (3 miles/day)*D

After 32 days the total length of the finished road would be:

L(32) = 15 miles + (3 miles/day)*(32 days) = 111 miles

the length of o'p' is .

step-by-step explanation:

it is given that the quadrilateral m'n'o'p' is the image of quadrilateral mnop after dilation.

the center of dilation is origin and the scale factor is 1.5.

in dilation the image and preimge are similar figures. it means the sides of image and preimage are proportional.

the scale factor is defined as

the scale factor is 1.5.

multiply both sides by op.

note: if the value of op is given, then multiply the value of op with 1.5 to get the length of side o'p'.

therefore length of o'p' is .