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:
`√(41)`

Explanation:

Did the diagnostic

Answer 2

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

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)} = √(41) = 6.4`

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