Answer/ Step-by-step explanation: To find the distance between points U (4, -2) and V (6, -1), we can use the distance formula. The distance formula is derived from the Pythagorean theorem and calculates the straight-line distance between two points in a coordinate plane.
The distance formula is:
√((x₂ - x₁)² + (y₂ - y₁)²)
Using the coordinates of points U and V:
x₁ = 4
y₁ = -2
x₂ = 6
y₂ = -1
Plugging these values into the distance formula:
√((6 - 4)² + (-1 - (-2))²)
√((2)² + (1)²)
√(4 + 1)
√(5)
≈ 2.236
The distance between points U and V, rounded to three decimal places, is approximately 2.236 units.