Question

What is the distance from (−2, 4) to (0, −6)? round your answer to the nearest hundredth.

Answer 1

Answer: 10.20

Step-by-step explanation: formula for distance between two points: d = √( (x₂ -x₁)² + (y₂ - y₁)²)x₁ = -2, y₁ = 4, x₂ = 0, y₂ = -6d = √( (x₂ -x₁)² + (y₂ - y₁)²)d = √( (0 - -2)² + (-6 - 4)²)d = √( (0 + 2)² + (-10)²)d = √( (2)² + (-10)²)d = √(4 + 100)d = √104 Use a calculator ≈ 10.1980d ≈ 10.20 units to the nearest hundredth

Answer 2

formula for distance between two points:

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

x₁ = -2, y₁ = 4, x₂ = 0, y₂ = -6

d = √( (x₂ -x₁)² + (y₂ - y₁)²)

d = √( (0 - -2)² + (-6 - 4)²)

d = √( (0 + 2)² + (-10)²)

d = √( (2)² + (-10)²)

d = √(4 + 100)

d = √104 Use a calculator

d ≈ 10.1980

d ≈ 10.20 units to the nearest hundredth.