Find the length of the segment if: A (-32.1) and B (8 2/3).

In order to find the length of the segment A (- 32; 1) and B (8; 2/3) use the formula for the distance between points d (AB) = √ (x2 – x1) ^ 2 + (y2 – y1) ^ 2) …

Then substituting the known values x1 = – 32, y1 = 1, x2 = 8, y2 = 2/3, we get the length of the segment between the points:

d (AB) = √ (8 – (- 32)) ^ 2 + (2/3 – 1) ^ 2) = √ (8 + 32) ^ 2 + (2/3 – 3/3) ^ 2) = √ (40 ^ 2 + (- 1/3) ^ 2) = √ (1600+ 1/9) = √ (1600+ 1/9).

Answer: √ (1600+ 1/9) about 40.