apply the Pythagorean theorem to find the length between the two points round your answer to the nearest hundredth (6,9) (2,1)
To find the distance between the two points (6,9) and (2,1) using the Pythagorean theorem, we can use the formula:
Distance = √((x₂ - x₁)² + (y₂ - y₁)²)
where (x₁, y₁) = (6,9) and (x₂, y₂) = (2,1).
Plugging in the values, we get:
Distance = √((2 - 6)² + (1 - 9)²)
= √((-4)² + (-8)²)
= √(16 + 64)
= √80
≈ 8.94
Rounding the answer to the nearest hundredth, the length between the two points is approximately 8.94.