Answer:
2.2 miles
Step-by-step explanation:
Coordinates of Joe's home = (2, 3)
Coordinates of the park = (1, 1)
The shortest distance = the distance between the two points
Use distance formula, [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to calculate the shortest distance.
Where,
[tex] (2, 3) = (x_1, y_1) [/tex]
[tex] (1, 1) = (x_2, y_2) [/tex]
Plug in the values into the formula
[tex] d = \sqrt{(1 - 2)^2 + (1 - 3)^2} [/tex]
[tex] d = \sqrt{(-1)^2 + (-2)^2} [/tex]
[tex] d = \sqrt{1 + 4} [/tex]
[tex] d = \sqrt{5} [/tex]
[tex] d = 2.2 [/tex] (nearest tenth)
Shortest distance between Joe's home and the park = 2.2 miles
