Answer:
4*sqrt(2)
Explanation:
To find the distance between two points, we use the distance formula, which is the following:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
where (x1, y1) and (x2, y2) are the coordinates of the two points.
Plugging in the values for the given points, we get the following:
d = sqrt((1 - (-3))^2 + (-2 - (-6))^2)
= sqrt((1 + 3)^2 + (-2 + 6)^2)
= sqrt(4^2 + 4^2)
= sqrt(32)
= 4*sqrt(2)
Therefore, the distance between the points (-3, -6) and (1, -2) is 4*sqrt(2).