Final answer:
The distance of the segment with endpoints X(4,2) and Y(8,-6) is approximately 8.94 units.
Step-by-step explanation:
To find the distance of a segment with the endpoints X(4,2) and Y(8,-6), we can use the distance formula. The distance formula is given by:
d = sqrt((x2 - x1)^2 + (y2 - y1)^2)
Substituting the values of X(4,2) and Y(8,-6) into the formula, we get:
d = sqrt((8 - 4)^2 + (-6 - 2)^2) = sqrt(16 + 64) = sqrt(80) = 8.94
Therefore, the distance of the segment is approximately 8.94 units.