Respuesta :
[tex] using \: formula \\ \sqrt{(x2 - x1) {}^{2} + (y2 - y1) {}^{2} } \\ \sqrt{(1 - ( - 4)) {}^{2} + ( - 2 - ( - 5)) {}^{2} } \\ = \sqrt{34} [/tex]
answer is B.
By using the formula for the distance between two points we will see that the distance between the two points is √34 = 5.8
Distance between two points:
The general formula for the distance between two points (a, b) and (c, d) is:
[tex]distance = \sqrt{(a - d)^2 + (b - c)^2} [/tex]
In this case, we have the points (-4, -5) and (1, -2), replacing that in the above formula we get:
[tex]distance = \sqrt{(-4 - 1)^2 + (-5 + 2)^2} = \sqrt{34} = 5.8[/tex]
So the distance is √34 = 5.8, so the correct option is B.
If you want to learn more about the distance between points, you can read:
https://brainly.com/question/7243416