Answer:
5.8 miles
Step-by-step explanation:
Distance of library(3, 2) to the supermarket (6, 7) using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Where,
[tex] (3, 2) = (x_1, y_1) [/tex]
[tex] (6, 7) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(6 - 3)^2 + (7 - 2)^2} [/tex]
[tex] d = \sqrt{(3)^2 + (5)^2} [/tex]
[tex] d = \sqrt{9 + 25} [/tex]
[tex] d = \sqrt{34} = 5.8 miles [/tex] (nearest tenth).