Question

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.

Answer 1

The distance between these points is approximately is 9.198 units.

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 (
`d`) is determined by the Pythagorean Theorem, which is described below:

`d = \sqrt{(x_(B)-x_(A))^(2)+(y_(B)-y_(A))^(2)}`

Where:

`x_(A)`,
`x_(B)` - Horizontal components of each point, dimensionless.

`y_(A)`,
`y_(B)` - Vertical components of each point, dimensionless.

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

`d = \sqrt{(-3.5-5.5)^(2)+(4.8-2.9)^(2)}`

`d\approx 9.198`

The distance between these points is approximately is 9.198 units.