Two points in a rectangular coordinate system have the coordinates (5.5, 2.9) and (−3.5, 4.8), where the units are centimeters. Determine the distance between these points.

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Answer:

The distance between these points is approximately is 9.198 units.

Step-by-step explanation:

Let be (5.5, 2.9) and (-3.5, 4.8) the location of the points in Cartesian plane. The straight line distance between both points ([tex]d[/tex]) is determined by the Pythagorean Theorem, which is described below:

[tex]d = \sqrt{(x_{B}-x_{A})^{2}+(y_{B}-y_{A})^{2}}[/tex]

Where:

[tex]x_{A}[/tex], [tex]x_{B}[/tex] - Horizontal components of each point, dimensionless.

[tex]y_{A}[/tex], [tex]y_{B}[/tex] - Vertical components of each point, dimensionless.

If [tex]A = (5.5, 2.9)[/tex] and [tex]B = (-3.5,4.8)[/tex], the distance between these points is:

[tex]d = \sqrt{(-3.5-5.5)^{2}+(4.8-2.9)^{2}}[/tex]

[tex]d\approx 9.198[/tex]

The distance between these points is approximately is 9.198 units.