Final answer:
The length of segment CD is 12 units.
Step-by-step explanation:
To find the length of segment CD, we can use the distance formula. The distance between two points (x1, y1) and (x2, y2) is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Using the coordinates of points C(7, -13) and D(11, -1), we substitute these values into the formula:
d = sqrt((11 - 7)^2 + (-1 - (-13))^2)
d = sqrt(4^2 + 12^2)
d = sqrt(16 + 144)
d = sqrt(160)
d = 12
Therefore, the length of segment CD is 12 units.