Answer:
The distance is approximately 12.6.
Step-by-step explanation:
Moving from (-8, 3) to (4, 7), we see x (the horizontal dimension) increasing by 12 and y (the vertical dimension) increasing by 4. Think of 12 and 4 as the legs of a right triangle whose hypotenuse represents the distance between these two given points.
This distance, from the Pythagorean Theorem, is
d = √(12^2 + 4^2) = √(144 + 16) = √160 = √16√10.
The desired distance is approximately 12.6.
