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