Question

The question is in the image

Answer 1

2.2 miles

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,
`d = √((x_2 - x_1)^2 + (y_2 - y_1)^2)` to calculate the shortest distance.

Where,

`(2, 3) = (x_1, y_1)`

`(1, 1) = (x_2, y_2)`

Plug in the values into the formula

`d = √((1 - 2)^2 + (1 - 3)^2)`

`d = √((-1)^2 + (-2)^2)`

`d = √(1 + 4)`

`d = √(5)`

`d = 2.2` (nearest tenth)

Shortest distance between Joe's home and the park = 2.2 miles