Final answer:
The distance between points P(-21, 2) and Q(28, 1) is √2402, and the midpoint M of the segment PQ has coordinates (3.5, 1.5).
Step-by-step explanation:
To find the distance d(P, Q) between the two points P(-21, 2) and Q(28, 1), we use the distance formula:
d(P, Q) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(P, Q) = √[(28 - (-21))^2 + (1 - 2)^2] = √[49^2 + (-1)^2] = √[2401 + 1] = √2402
The correct answer is a. d(P, Q) = √2402.
To find the Midpoint Coordinates M of the segment PQ, we use the midpoint formula:
M = ((x1 + x2)/2, (y1 + y2)/2)
M = ((-21 + 28)/2, (2 + 1)/2) = (7/2, 3/2) = (3.5, 1.5).
The correct coordinates for M are a. M=(3.5,1.5).