Question

Two points in a rectangular coordinate system have the coordinates (5.0, 2.8) and (−2.8, 5.1), where the units are centimeters. determine the distance between these points.

Answer 1

Let

A( 5.0,2.8) B( -2.8,5.1)

we know that

The formula to find the distance between two points is equal to

$d=\sqrt{(y2-y1)^{2} +(x2-x1)^{2}}$

substitute in the formula

$d=\sqrt{(5.1-2.8)^{2} +(-2.8-5)^{2}}$

$d=\sqrt{(2.3)^{2} +(-7.8)^{2}}$

$d=\sqrt{66.13}$

$d=8.13\ cm$

therefore

the answer is

the distance between these points is $8.13\ cm$