Question

Developers from two towns, A and B, want to connect their towns to a highway. To minimize the cost of construction, the developers must find the location for the highway entrance that minimizes the total distance, d1 + d2, from the two towns to the highway. Let x be as shown. Find both the value of x that solves the developers' problem and the minimum total distance. City A 3 miles Road City B Road 5 miles x 15-x Highway 15 miles What value of x minimizes the total distance? x = miles (Type an integer or a simplified fraction.)

          Developers from two towns, A and B, want to connect their towns to a highway. To minimize the cost of construction, the developers must find the location for the highway entrance that minimizes the total distance, d1 + d2, from the two towns to the highway. Let x be as shown. Find both the value of x that solves the developers' problem and the minimum total distance.
City A
3 miles
Road
City B
Road
5 miles
x
15-x
Highway
15 miles
What value of x minimizes the total distance?
x = miles (Type an integer or a simplified fraction.)

$Developers from two towns, A and B, want to connect their towns to a highway. To minimize the cost of construction, the developers must find the location for the highway entrance that minimizes the total distance, d1 + d2, from the two towns to the highway. Let x be as shown. Find both the value of x that solves the developers' problem and the minimum total distance. City A 3 miles Road City B Road 5 miles x 15-x Highway 15 miles What value of x minimizes the total distance? x = miles (Type an integer or a simplified fraction.)$

Added by Jose Angel B.

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