Answer :
Answer:
13
Step-by-step explanation:
Use the distance formula to find the distance between points
[tex] (x_1, y_1) [/tex] and [tex] (x_2, y_2) [/tex].
Distance formula:
[tex] distance = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]
We have [tex] x_1 = -3, y_1 = -1, x_2 = 2, y_2 = 11 [/tex].
[tex] distance = \sqrt{(2 - (-3))^2 + (11 - (-1))^2} [/tex]
[tex] distance = \sqrt{(2 + 3)^2 + (11 + 1)^2} [/tex]
[tex] distance = \sqrt{5^2 + 12^2} [/tex]
[tex] distance = \sqrt{25 + 144} [/tex]
[tex] distance = \sqrt{169} [/tex]
[tex] distance = 13 [/tex]