Find the distance between the points X and Y shown in the figure.

Step-by-step explanation:

Using the distance formula:

Hope this helps!

Step-by-step explanation:

The distance formula is:

where (x1, y1) are the coordinates of the first point, and (x2,y2) are the coordinates of the second point.

The point X is at (-6,3). The point Y is at (8, -2). Therefore, we can plug these points into the formula.

First, solve inside the parentheses

Solve the exponents.

14^2=14*14=196

-5^2=-5*-5=25

Add 196 and 25

d=14.8660687473

The distance between the points is or about 14.87