Question

use the map shown below to find the distance between cities a and b to the nearest tenth. the distance is \\(\square\\) (round to the nearest tenth as needed.)

Explanation:

Step1: Identify coordinates of points

Assume point A is at \((x_1, y_1)\) and point B is at \((x_2, y_2)\). From the grid, let's say A is \((1, -1)\) and B is \((7, 4)\) (estimating from the grid lines).

Step2: Apply distance formula

The distance formula is \(d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\). Substituting the coordinates: \(x_2 - x_1 = 7 - 1 = 6\), \(y_2 - y_1 = 4 - (-1) = 5\). Then \(d = \sqrt{6^2 + 5^2} = \sqrt{36 + 25} = \sqrt{61} \approx 7.8\) (to the nearest tenth).

Answer:

\(7.8\)