Answer:
7.2 units
Step-by-step explanation:
Coordinates of city A = (0, 0)
Coordinates of city B = (6, 4)
Use the distance formula to find the distance between the two cities as follows:
[tex] AB = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] A(0, 0) = (x_1, y_1) [/tex]
[tex] B(6, 4) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] AB = \sqrt{(6 - 0)^2 + (4 - 0)^2} [/tex]
[tex] AB = \sqrt{(6)^2 + (4)^2} [/tex]
[tex] AB = \sqrt{36 + 16} = \sqrt{52} [/tex]
[tex] AB = 7.2 [/tex] (nearest tenth)
