Answer:
7.8 miles
Step-by-step explanation:
Coordinates of the Library = (-3, 3)
Coordinates of the Grocery = (2, -3)
Shortest distance between them can be calculated using distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
Let,
[tex] (-3, 3) = (x_1, y_1) [/tex]
[tex] (2, -3) = (x_2, y_2) [/tex]
[tex] d = \sqrt{(2 -(-3))^2 + (-3 - 3)^2} [/tex]
[tex] d = \sqrt{(5)^2 + (-6)^2} [/tex]
[tex] d = \sqrt{25 + 36} = \sqrt{61} [/tex]
[tex] d = 7.8 miles [/tex] (nearest tenth)
