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 the coordinates

Let the coordinates of point A be $(x_1,y_1)$ and of point B be $(x_2,y_2)$. Assume from the grid - A is at some point and B is at another point. Suppose $A=(x_1,y_1)$ and $B=(x_2,y_2)$.

Step2: Apply the distance formula

The distance formula between two points $(x_1,y_1)$ and $(x_2,y_2)$ is $d = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$. Calculate the differences $x_2 - x_1$ and $y_2 - y_1$, square them, sum them up and then take the square - root.

Step3: Round the result

Round the calculated distance to the nearest tenth as required.

Since the actual coordinates are not provided in text form, we cannot give a numerical answer. But if we assume point A has coordinates $(x_1,y_1)$ and point B has coordinates $(x_2,y_2)$ and we calculate using the formula $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$, we would follow the above steps. For example, if $A=(1,2)$ and $B=(4,6)$:

Step1: Identify the coordinates

$x_1 = 1,y_1 = 2,x_2 = 4,y_2 = 6$

Step2: Apply the distance formula

$d=\sqrt{(4 - 1)^2+(6 - 2)^2}=\sqrt{3^2+4^2}=\sqrt{9 + 16}=\sqrt{25}=5$

Step3: Round the result

Since 5 is already a whole number, to the nearest tenth it is 5.0

Answer:

(Without specific coordinates from the image, we cannot give a definite answer. But if we had coordinates $(x_1,y_1)$ and $(x_2,y_2)$ we would calculate $d=\sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}$ and round to the nearest tenth.)