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Math Asked by a SnapAndSolve user · about 2 hours ago

Find the distance, d, of AB. A = (2, 5) B = (-6, -3) d = [?] d = √((x₂ - x₁)² + (y₂ - y₁)²) Round to the...

Find the distance, d, of AB. A = (2, 5) B = (-6, -3) d = [?] d = √((x₂ - x₁)² + (y₂ - y₁)²) Round to the nearest tenth.

Answer

To find the distance d between points A and B, use the distance formula:
d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substitute the given points into the formula:
d = √((-6 - 2)² + (-3 - 5)²)
Calculate the differences:
d = √((-8)² + (-8)²)
Square the differences:
d = √(64 + 64)
Add the squares:
d = √128
Calculate the square root:
d ≈ 11.3

Therefore, the distance d is approximately 11.3 units.

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