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

Explanation:

Step1: Identify coordinates

Assume A is at $(x_1,y_1)$ and B is at $(x_2,y_2)$. From the grid, if we assume A is at $(0, 0)$ and B is at $(6,-6)$.

Step2: Apply distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Substitute $x_1 = 0,y_1 = 0,x_2=6,y_2 = - 6$ into the formula: $d=\sqrt{(6 - 0)^2+(-6 - 0)^2}=\sqrt{6^2+( - 6)^2}=\sqrt{36 + 36}=\sqrt{72}$.

Step3: Simplify and round

$\sqrt{72}=6\sqrt{2}\approx8.5$.

Answer:

$8.5$