A construction crew is lengthening a road that originally measured 54 miles. The crew is adding one mile to the road each day. The length, L (in miles), after d days of construction is given by the following function.
L(d) = 54+d
What is the length of the road after 15 days?

7

step-by-step explanation:

the correct option is 2.

step-by-step explanation:

according to the given information triangle abc is a right angle triangle with right angle at a. segment ab is 5 and segment ac is 7. point d is on segment bc and angles adb and adc are right angles.

it is given that triangles abd, cad, and cba are similar.

two triangles are similar if their corresponding sides are proportional.

in triangle cba, using pythagoras theorem

                      )

triangle abd and cba are similar,

                            (2)

triangle cad and cba are similar,

                      )

using (1), (2) and (3), we get

hence proved.

therefore option 2 is correct.

the first one is x^2+2x+2

the second one is x^2+4

the last one is x^2-4x+8