Question

If each unit on the coordinate plane represents one mile, what is the total distance the truck travels on its route based on the given points D (13), C (5,1), B (1,-2), A (-1,-2), and E (-5,-1)?

Answer 1

The total distance the truck travels on its route based on the given points is 20 miles.

Step-by-step explanation:

To find the total distance the truck travels, we need to calculate the sum of the distances between each consecutive pair of points. Using the distance formula, which is based on the Pythagorean theorem, we can find the distance between two points in the coordinate plane. Let's calculate the distances between each pair of points and sum them up:

Distance between D and C = sqrt((5-13)^2 + (1-1)^2) = 8 miles

Distance between C and B = sqrt((1-5)^2 + (-2-1)^2) = 5 miles

Distance between B and A = sqrt((-1-1)^2 + (-2-(-2))^2) = 2 miles

Distance between A and E = sqrt((-5-(-1))^2 + (-1-(-2))^2) = 5 miles

Total distance traveled = 8 + 5 + 2 + 5 = 20 miles