Question

What is the distance between the points (12,3) and (-8,3)?

Answer 1

The distance between the two points is 20.

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)(-8) - color(blue)(12))^2 + (color(red)(3) - color(blue)(3))^2)`

`d = sqrt((-20)^2 + 0^2)`

`d = sqrt(400 + 0)`

`d = sqrt(400) = 20`