Find the distance between the points (1,9) and (6,4).
We can use the distance formula to find the distance between two points in a coordinate plane. The distance formula is:
d = sqrt((x₂ - x₁)² + (y₂ - y₁)²)
Using the given points (1,9) and (6,4), we can substitute them into the formula:
d = sqrt((6 - 1)² + (4 - 9)²)
= sqrt(5² + (-5)²)
= sqrt(25 + 25)
= sqrt(50)
≈ 7.07
Therefore, the distance between the points (1,9) and (6,4) is approximately 7.07 units.