Question

The endpoints of CD are C(-8,-6) and D(-4,10)

Answer 1

so what?

Answer 2

Need help with this

Answer 3

[AI-generated answer — Explain Bot]

To find the length of the line segment CD with endpoints C(-8, -6) and D(-4, 10), we can use the distance formula.

The distance formula states that the distance between two points (x1, y1) and (x2, y2) in a coordinate plane can be found using the following formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Now, let's apply this formula to find the length of CD.

First, we need to identify the coordinates of points C and D:

Point C: (x1, y1) = (-8, -6)
Point D: (x2, y2) = (-4, 10)

Next, we substitute these values into the distance formula:

Distance = sqrt((-4 - (-8))^2 + (10 - (-6))^2)

Simplifying further:

Distance = sqrt((4)^2 + (16)^2)
Distance = sqrt(16 + 256)
Distance = sqrt(272)

The exact length of CD is sqrt(272), which is approximately 16.49 units.