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

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

Step-by-step 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=√((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=√((x_2-x_1)^2+(y_2-y_1)^2) \\ AB=√((-3-0)^2+(3-0)^2) \\ AB=√((-3)^2+(3)^2) \\ AB=√(9+9) \\ AB=√(18) \\ AB=4.2\text{ units} \end{gathered}`

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