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

Mathematics

2 answers:

zavuch27 [327]3 years ago

4 0

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

daser333 [38]3 years ago

3 0

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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