Respuesta :

Answer:

4.2 units

Step-by-step explanation:

Assuming 1 grid box = 1 units, the coordinates of the two points are (-1, -1) and (2, 2).

Apply distance formula [tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex] to find the distance between (-1, -1) and (2, 2).

Let,

[tex] (-1, -1) = (x_1, y_1) [/tex]

[tex] (2, 2) = (x_2, y_2) [/tex]

Plug in the values

[tex] d = \sqrt{(2 - (-1))^2 + (2 - (-1))^2} [/tex]

[tex] d = \sqrt{(3)^2 + (3)^2} [/tex]

[tex] d = \sqrt{9 + 9} [/tex]

[tex] d = \sqrt{18} [/tex]

[tex] d = 4.2 [/tex] (to the nearest tenth)