Question

Find the distance between (2,3) and (-1,8). Estimate your answer to the nearest tenth.

Answer 1

To find the distance between two points in a plane, we can use the distance formula:

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

where (x1,y1) and (x2,y2) are the coordinates of the two points.

Using this formula with the given points, we have:

d = sqrt((-1-2)^2 + (8-3)^2)

d = sqrt((-3)^2 + (5)^2)

d = sqrt(9 + 25)

d = sqrt(34)

So the distance between the two points is approximately 5.8 units to the nearest tenth.