Question

Find the distance between points P(8, 2) and Q(3, 8) to the nearest tenth.

A 11
B. 7.8
C. 61
D. 14.9

Answer 1

The distance between the points P(8, 2) and Q(3, 8) is approximately 7.8 units.

Step-by-step explanation:

To find the distance between two points in a Cartesian plane, you can use the distance formula. The distance formula is given by:

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

For the given points P(8, 2) and Q(3, 8), the coordinates of P are (x1, y1) and the coordinates of Q are (x2, y2). Plugging the values into the distance formula:

d = sqrt((3 - 8)^2 + (8 - 2)^2)

d = sqrt((-5)^2 + (6)^2)

d = sqrt(25 + 36)

d = sqrt(61)

So, the distance between points P(8, 2) and Q(3, 8) is approximately 7.8 units to the nearest tenth.