Question

The question is in the image

Answer 1

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, $d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}$ 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

$d = \sqrt{(1 - 2)^2 + (1 - 3)^2}$

$d = \sqrt{(-1)^2 + (-2)^2}$

$d = \sqrt{1 + 4}$

$d = \sqrt{5}$

$d = 2.2$ (nearest tenth)

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