Question

Pablo and Nadia are playing a game on a coordinate grid. Pablo puts a playing piece at point (-2, 3) and Nadia puts a playing piece at (3, -1). What is the distance between the two playing pieces?

Answer 1

Answer:

The distance between the two playing pieces is of 6.4 units.

Step-by-step explanation:

Suppose we have two points:

$A = (x_{1}, y_{1})$

$B = (x_{2}, y_{2})$

The distance between these points is:

$D = \sqrt{(x_{2} - x_{1})^{2} + (y_{2} - y_{1})^{2}}$

Distance between:

A(-2,3) and B(3,-1)

$D = \sqrt{(3 - (-2))^{2} + (-1 - 3)^{2}} = \sqrt{41} = 6.4$

The distance between the two playing pieces is of 6.4 units.