Find the distance, d, of AB. A = (1, 1) B = (7, 13) d = ?

Question

Find the distance, d, of AB. A = (1, 1) B = (7, 13) d = ? Round to the nearest tenth.

SnapAndSolve AI · Accepted Answer

To find the distance between two points A(x₁, y₁) and B(x₂, y₂) on the coordinate plane, use the distance formula:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

Substitute the given values:

d = √((7 - 1)² + (13 - 1)²)

d = √(6² + 12²)

d = √(36 + 144)

d = √180

d ≈ 13.4

Therefore, the distance d is approximately 13.4 when rounded to the nearest tenth.

Answer