Answer:So, the distance between points x and w is √18 or 3√2.
Note: The distance formula calculates the straight-line distance between two points in a coordinate plane.
Step-by-step explanation: To find the distance between points x and w, we can use the distance formula, which is derived from the Pythagorean theorem. The distance formula calculates the distance between two points in a coordinate plane.
Given the coordinates of point x as (-1, 3) and the coordinates of point w as (2, 0), we can use the distance formula to find the distance between them.
The distance formula is:
√((x2 - x1)² + (y2 - y1)²)
Let's substitute the coordinates of point x and point w into the distance formula:
√((2 - (-1))² + (0 - 3)²)
Simplifying further:
√((3)² + (-3)²)
√(9 + 9)
√18
The expression that represents the distance between points x and w is √18. This can also be simplified as 3√2.