Final answer:
The distance between (-4,-1) and (-2,-2) is sqrt(5) units.
Step-by-step explanation:
The distance between two points can be found using the Pythagorean Theorem. In this case, the points are (-4, -1) and (-2, -2). The distance between these points can be found by finding the difference in x-coordinates and the difference in y-coordinates, then using the Pythagorean theorem.
The x-coordinate difference is (-2) - (-4) = 2 units. The y-coordinate difference is (-2) - (-1) = -1 unit.
Using the Pythagorean theorem, we can find the distance between the points as follows:
d = sqrt((2^2) + (-1^2))
d = sqrt(4 + 1)
d = sqrt(5)
Therefore, the distance between the points F and C is sqrt(5) units.