Find the distance between the points (9,10) and (1,5).

The distance between two points in a plane can be found using the distance formula:

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

In this case, the points are (9, 10) and (1, 5). Plugging in the values into the distance formula, we get:

d = sqrt((1 - 9)^2 + (5 - 10)^2)
= sqrt((-8)^2 + (-5)^2)
= sqrt(64 + 25)
= sqrt(89)

Therefore, the distance between the points (9, 10) and (1, 5) is sqrt(89) or approximately 9.43.