Question

use the map shown below to find the distance between cities A and B to the nearestcenth.

Answer 1

In order to find the distance between cities A and B, we can use the following formula for the distance d:

$d=\sqrt[]{(x_B-x_A)^2+(y_B-y_A)^2}$

Observing the graph, we see that the given points are A(0, 0) and B(-2, 6).

Then, using the formula above, we find:

$d=\sqrt[]{(-2_{}-0_{})^2+(6_{}-0)^2}=\sqrt[]{(-2)^2+6^2}=\sqrt[]{4+36}=\sqrt[]{40}=6.32456$

Finally, we need to round the distance to the nearest tenth. Therefore, this distance is 6.3.