Question

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

Explanation:

Step1: Identify coordinates

Let \(A=(0,0)\) and \(B = (- 4,6)\).

Step2: Apply distance formula

The distance \(d\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}\). Here \(x_1 = 0,y_1=0,x_2=-4,y_2 = 6\), so \(d=\sqrt{(-4 - 0)^2+(6 - 0)^2}=\sqrt{(-4)^2+6^2}=\sqrt{16 + 36}=\sqrt{52}\).

Step3: Simplify and round

\(\sqrt{52}=2\sqrt{13}\approx 7.2\).

Answer:

7.2