Answer: the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.
Explanation:
(-2, 5) and (-4,-5) are two points in the coordinate plane.
The first point (-2, 5) has an x-coordinate of -2 and a y-coordinate of 5. This point is 2 units to the left of the y-axis and 5 units above the x-axis.
The second point (-4, -5) has an x-coordinate of -4 and a y-coordinate of -5. This point is 4 units to the left of the y-axis and 5 units below the x-axis.
To find the distance between these two points, we can use the distance formula:
distance = sqrt[(x2 - x1)^2 + (y2 - y1)^2]
Plugging in the coordinates of the two points, we get:
distance = sqrt[(-4 - (-2))^2 + (-5 - 5)^2] = sqrt[(-2)^2 + (-10)^2] = sqrt[104]
So the distance between the points (-2, 5) and (-4, -5) is approximately 10.198 units.