Find the distance, d, of AB. A = (-2, -10) B = (-6, 0) d = ?

Question

Find the distance, d, of AB. A = (-2, -10) B = (-6, 0) d = ? d = √((x₂ - x₁)² + (y₂ - y₁)²) Round to the nearest tenth.

SnapAndSolve AI · Accepted 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 coordinates:

d = √((-6 - (-2))² + (0 - (-10))²)

Simplify the expression:

d = √((-6 + 2)² + (0 + 10)²)

d = √((-4)² + (10)²)

d = √(16 + 100)

d = √116

Calculate the square root and round to the nearest tenth:

d ≈ 10.8

Answer