Two points in a rectangular coordinate system have the coordinates (5.2, 2.8) and (−3.2, 5.0), where the units are centimeters. Determine the distance between these points. _______cm

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Two points in a rectangular coordinate system have the coordinates (5.2, 2.8) and (−3.2, 5.0), where the units are centimeters. Determine the distance between these points.

_______cm

Expert Solution
Step 1: Conceptual Introduction

The distance between two points whose coordinates are open parentheses x subscript 1 comma y subscript 1 close parentheses space a n d space open parentheses x subscript 2 comma y subscript 2 close parentheses is given by the distance formula-

          d equals square root of open parentheses x subscript 2 minus x subscript 1 close parentheses squared plus open parentheses y subscript 2 minus y subscript 1 close parentheses squared end root

  where d is the distance between the two points.

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