Answer: e.
Step-by-step explanation:
1. You have the following expression given in the problem:
2. To solve the exercise and find an equal expression, you must simplify that expression. Apply the Distributive property. Multiply the terms inside the parentheses by . Then, you obtain:
First, draw a diagram to visualize the situation:
As we can see, the difference between the x-coordinates of the points is the length of one leg of a right triangle, and the difference between the y-coordinates is the length of the other leg.
Then, for the given points (-5,4) and (8,-3), the distance given by the Pythagorean Theorem is:
Therefore, the distance between the points (-5,4) and (8,-3) is: √218.
