Question

Use the map shown below to find the distance between cities A and B to the nearesttenth.The distance is(Round to the nearest tenthneeded.)

Answer 1

Answer:

The distance between cities A and B to the nearest tenth is 4.24 units.

Explanation:

From the map we can see the coordinates of cities A and B;

$\begin{gathered} A(0,0) \\ B(-3,3) \end{gathered}$

The distance between two coordinate points can be calculated using the formula;

$AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

We can substitute the coordinates of A and B to calculate their distance;

$\begin{gathered} AB=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ AB=\sqrt{(-3-0)^2+(3-0)^2} \\ AB=\sqrt{(-3)^2+(3)^2} \\ AB=\sqrt{9+9} \\ AB=\sqrt{18} \\ AB=4.2\text{ units} \end{gathered}$

The distance between cities A and B to the nearest tenth is 4.24 units.