What is the distance of the A(-2,1) and B(5,3)?

1 Answer
Mar 7, 2017

See the entire solution process below:

Explanation:

The formula for calculating the distance between two points is:

d = sqrt((color(red)(x_2) - color(blue)(x_1))^2 + (color(red)(y_2) - color(blue)(y_1))^2)

Substituting the values from the points in the problem gives:

d = sqrt((color(red)(5) - color(blue)(-2))^2 + (color(red)(3) - color(blue)(1))^2)

d = sqrt((color(red)(5) + color(blue)(2))^2 + (color(red)(3) - color(blue)(1))^2)

d = sqrt(7^2 + 2^2)

d = sqrt(49 + 4)

d = sqrt(53) = 7.280

The distance is sqrt(53) or 7.280 rounded to the nearest thousandth