Answer:
10.392 units.
Explanation:
The distance between (-4, 6, -2) and (2, 12, 4) can be found using the distance formula in three-dimensional space.
The distance formula is derived from the Pythagorean theorem and can be applied to find the distance between any two points in space. It is given by:
Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2 + (z2 - z1)^2)
Let's plug in the coordinates:
Distance = sqrt((2 - (-4))^2 + (12 - 6)^2 + (4 - (-2))^2)
= sqrt((6)^2 + (6)^2 + (6)^2)
= sqrt(36 + 36 + 36)
= sqrt(108)
= 10.392
Therefore, the distance between the two points (-4, 6, -2) and (2, 12, 4) is approximately 10.392 units.