Answer:
7.2
Step-by-step explanation:
Use the distance formula to find the length of segment AB which represents the distance between cities A and B
Distance formula
Distance between 2 points on a 2D graph is given by
[tex]d = \sqrt {(x_{2} - x_{1})^2 + (y_{2} - y_{1})^2}[/tex]
where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are the coordinates of the two points
Here A has coordinates (0,0) and B has coordinates (6, 4)
So distance between A and B is
[tex]d = \sqrt {(4 - 0)^2 + (6 - 0)^2}[/tex]
[tex]d = \sqrt {(4)^2 + (6)^2}[/tex]
[tex]d = \sqrt {{16} + {36}}[/tex]
[tex]d = \sqrt {52}[/tex]
[tex]d = 7.211103[/tex]
[tex]\bold{d = 7.2}[/tex] rounded to the nearest tenth
