Answer:
d. √20
Explanation:
To find the distance between two points in a two-dimensional Cartesian coordinate system, you can use the distance formula. The distance formula is given by:
d = √((x2 - x1)^2 + (y2 - y1)^2)
Where (x1, y1) and (x2, y2) are the coordinates of the two points.
Let's calculate the distance between the points (-4, -2) and (-2, 2):
(x1, y1) = (-4, -2)
(x2, y2) = (-2, 2)
Now, plug the values into the distance formula:
d = √((-2 - (-4))^2 + (2 - (-2))^2)
d = √((2)^2 + (4)^2)
d = √(4 + 16)
d = √20
So, the distance between the points (-4, -2) and (-2, 2) is approximately √20 units.