Final answer:
The length of segment CD is 13 units, calculated by applying the coordinates C(4, -11) and D(-8, -6) to the distance formula.
Step-by-step explanation:
To find the length of segment CD using the distance formula, first identify the coordinates for points C and D, which are C(4, -11) and D(-8, -6), respectively. The distance formula is given by the equation d = √((x_2 - x_1)^2 + (y_2 - y_1)^2), where (x_1, y_1) and (x_2, y_2) are the coordinates of the two points. Plugging in the given points, we get:
d = √((-8 - 4)^2 + (-6 - (-11))^2) = √((-12)^2 + (5)^2) = √(144 + 25) = √(169) = 13.
Therefore, the length of segment CD is 13 units.