Respuesta :

Answer:

The answer is 13 units

Step-by-step explanation:

The distance between two points can be found by using the formula

[tex]d = \sqrt{ ({x1 - x2})^{2} + ({y1 - y2})^{2} } \\ [/tex]

where

(x1 , y1) and (x2 , y2) are the points

From the question

The points are (4,-2) and ( -1, 10)

The distance between them is

[tex]d = \sqrt{ ({4 + 1})^{2} + ({ - 2 - 10})^{2} } \\ = \sqrt{ {5}^{2} + ({ - 12})^{2} } \\ = \sqrt{25 + 144} \\ = \sqrt{169} [/tex]

We have the final answer as

d = 13 units

Hope this helps you