Question

Two points in a rectangular coordinate system have the coordinates (5.0, 2.8) and (−2.8, 5.1), where the units are centimeters. determine the distance between these points.

Answer 1

The distance between the two points is approximately 8.13 cm.

Step-by-step explanation:

To find the distance between two points in a rectangular coordinate system, we can use the distance formula. The formula is:

d = sqrt((x2 - x1)^2 + (y2 - y1)^2)

Using the given coordinates (5.0, 2.8) and (-2.8, 5.1), we can substitute the values into the formula:

d = sqrt((-2.8 - 5.0)^2 + (5.1 - 2.8)^2)

d = sqrt((-7.8)^2 + (2.3)^2)

d = sqrt(60.84 + 5.29)

d = sqrt(66.13)

d ≈ 8.13 cm

Answer 2

Let

A( 5.0,2.8) B( -2.8,5.1)

we know that

The formula to find the distance between two points is equal to

`d=\sqrt{(y2-y1)^(2) +(x2-x1)^(2)}`

substitute in the formula

`d=\sqrt{(5.1-2.8)^(2) +(-2.8-5)^(2)}`

`d=\sqrt{(2.3)^(2) +(-7.8)^(2)}`

`d=√(66.13)`

`d=8.13\ cm`

therefore

the answer is

the distance between these points is
`8.13\ cm`