Find the distance between the points A(10,-9) and B(8,7) round your answer to the nearest hundredth

16.12 units

Step-by-step explanation:

These two points create a right triangle whose diagonal (hypotenuse) represents the desired distance.

Going from B(8, 7) to A(10, -9) involves two steps:  Moving 2 units to the right from B(8, 7) to A(10, -9), and moving 16 steps down from B(8, 7) to A(10, -9).

Thus, the horizontal side of the triangle in question has length 2 units and the vertical side 16 units.

The length of the diagonal (which is the desired distance) is then

|AB| = +√(2^2 + 16^2) = +√(4 + 256) = +√260

To the nearest hundredth, this is |AB| = 16.12 units