Question

1. A grand tour of four cities begins at city A and makes successive stops at cities B, C,

Answer 1

Using distance between two points, it is found that the total distance covered on the tour is of 3400 miles.

Given two points $(x_1,y_1)$ and $(x_2,y_2)$, their distance is given by:

$D = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$

In this problem, the formula is used to find the distance covered on each tour, hence:

$d_{AB} = \sqrt{(400 - 0)^2 + (300 - 0)^2} = 500$

$d_{BC} = \sqrt{(-800 - 400)^2 + (800 - 300)^2} = 1300$

$d_{CD} = \sqrt{(-800 - (-800))^2 + (0 - 800)^2} = 800$

$d_{DA} = \sqrt{(0 - (-800))^2 + (0 - 0)^2} = 800$

Then, the total distance is given by the sum of each separate distance, hence:

$d = d_{AB} + d_{BC} + d_{CD} + d_{DA} = 500 + 1300 + 800 + 800 = 3400$

The total distance covered on the tour is of 3400 miles.

You can learn more about distance between two points at brainly.com/question/25929988