Answer:
16.12 units
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