A construction crew is lengthening a road. The crew is adding 6 miles to the road each week. The road originally measured 52 miles long. The crew's goal is given by 6x+52>130, where x is the number of weeks the crew works.

6x + 52 > 130

Subtract 52 from both sides:

6x > 78

Divide both sides by 6:

X > 78/6

X > 13

Equation : L = 52 + 2D ; Total Length = 31 Miles

Explanation:

Initial Length = 52 miles.

Additional Length each day = 2 miles

Number of days = D

Total Length = L

L = 52 + 2D

When D = 31, L = 52 + 2(31) = 114 miles

step-by-step explanation:

this can be solved first with pythagorean theorem, which tells us to square both legs of the triangle and sum it. this will be equal to the square of the hypotenuse.

the hypotenuse is the side "opposite" the 90 degree angle, which is x.

so we can write using pythagorean theorem,

simplifying:

to further simplify this radical, we need to use the property  

thus