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 \(A=(1,0)\) and \(B = (-5,3)\)

Step2: Apply distance formula

The distance formula 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 \(x_1 = 1,y_1=0,x_2=-5,y_2 = 3\). So \(d=\sqrt{(-5 - 1)^2+(3 - 0)^2}=\sqrt{(-6)^2+3^2}=\sqrt{36 + 9}=\sqrt{45}\)

Step3: Calculate and round

\(\sqrt{45}\approx6.708\), rounding to the nearest tenth gives \(d\approx6.7\)

Answer:

6.7