# Find the distance between points A and B if A (-3; 0) B (0; 4)

August 23, 2021 | education

| In order to determine the distance between points A and B, we use the formula for calculating the distance between two points A (xa; ya) and B (xb; yb) on the Oxy plane: AB = √ [(xb – xa) ^ 2 + (yb – ya) ^ 62].

We denote by d the distance between points A and B. It is clear that in specifying the points A (xa; ya) and B (xb; yb) on the plane Oxy are given as follows: A (–3; 0) and B (0; 4) , that is, xa, = –3, ya = 0, xb, = 0, and yb = 4. We have d = √ [(0 – (–3)) ^ 2 + (4 – 0) ^ 2] = √ (9 + 16) = √ (25) = 5.

Answer: The distance between points A and B is 5.

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