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Find the distance, d, of AB. A = (2, 1) B = (-4, 7) d = [?] Round to the nearest tenth.

Find the distance, d, of AB. A = (2, 1) B = (-4, 7) d = [?] Round to the nearest tenth.

Answer

To find the distance d between points A (2, 1) and B (-4, 7), use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substitute the given coordinates:

d = √((-4 - 2)² + (7 - 1)²)

d = √((-6)² + (6)²)

d = √(36 + 36)

d = √72

d ≈ 8.5

The distance, rounded to the nearest tenth, is 8.5.

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