Question

Which of the following expressions will calculate the length of segment AB if A (-3,5) and B (4, -6)?

(-3-4)2 + (5+6)
(-3+4) -(5-6
(-3+4)2 – (5+6)
(-3 – 4)2 + (5 – 62
None of the choices are correct.

Answer 1

To calculate the length of segment AB given the coordinates of points A and B, we use the distance formula:

Distance AB = √((x₂ - x₁)² + (y₂ - y₁)²)

Where (x₁, y₁) are the coordinates of point A and (x₂, y₂) are the coordinates of point B.

Given A(-3, 5) and B(4, -6), we can plug these values into the distance formula:

Distance AB = √((4 - (-3))² + (-6 - 5)²)

Distance AB = √((4 + 3)² + (-6 - 5)²)

Distance AB = √(7² + (-11)²)

Distance AB = √(49 + 121)

Distance AB = √170

Distance AB ≈ 13.04

So, the correct expression to calculate the length of segment AB is not listed among the given choices. The correct expression is √(7² + (-11)²).

Explanation: