Fast Rental Services and Red Rent Services provide rental cars. Fast Rental Services charges a flat fee of $4.50, plus $0.75 for every mile traveled. On the other hand, Red Rent Services charges a flat fee of $7.50, plus $0.65 for every mile traveled. Which equation could be used to find the distance, d, when the cost of renting the cars from both the companies are the same?

4.50+.75d=7.50+.65d

Step-by-step explanation:

Y=4.50+.75d equation 1

y=7.50+.65d equation 2

4.50+.75d=7.50+.65d sub value of y in equation 2 into equation 1

.10d=3.00 simplify equation

d=30

check answer by subbing 30 for d into each equation.

y=4.50+.75(30)

y=4.50+22.50

y=27

y=7.50+.65(30)

y=7.50+19.50

y=27

both equations equal so 30 is the correct distance for when Fast Rental equals Red Rent

answer: the value of x is 7cm

step-by-step explanation:

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,