Respuesta :

Answer:

The distance between (5, 7) and (-2,-2) is 11.4 units.

Step-by-step explanation:

We are given the following in the question:

Points:

(5, 7) and (-2,-2)

We have to find the distance between the two points.

Distance formula:

[tex]d =\sqrt{(y_2-y_1)^2+(x_2-x_1)^2)}[/tex]

Putting values, we get,

[tex](x_1,y_1) = (5,7)\\(x_2,y_2) = (-2,-2)\\\\d = \sqrt{(-2-7)^2 + (-2-5)^2} = \sqrt{130} \approx 11.4\text{ units}[/tex]

Thus, the distance between (5, 7) and (-2,-2) is 11.4 units.