Question

Find the distance between the points. (Round your answer to two decimal places. (9.7, - 2.8), (- 3.2, 8.8)

Answer 1

Rounding it to two decimal places, we get distance,
`d=17.35`

Explanation:

Given:

The two points are
`(9.7, -2.8)\textrm{ and }(-3.2, 8.8)`

The distance between the two points can be obtained using the distance formula which is given as:

`d=\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`

Here, for the points,
`(9.7, -2.8)\textrm{ and }(-3.2, 8.8)`

`x_(1)=9.7,x_(2)=-3.2,y_(1)=-2.8,y_(2)=8.8`

Therefore, the distance between the points is:

`d=√((-3.2-9.7)^2+(8.8-(-2.8))^2)\\d=√((-12.9)^2+(8.8+2.8)^2)\\d=√((12.9)^2+(11.6)^2)\\d=√(166.41+134.56)\\d=√(300.97)=17.348`

Rounding it to two decimal places, we get
`d=17.35`