# Find the distance between the points. Give an exact answer please of and an approximation to three decimal places. What is the exact distance _______ and approximate distance _________ of (-9,11)...

Find the distance between the points. Give an exact answer please of and an approximation to three decimal places.

What is the exact distance _______ and approximate distance _________ of (-9,11) and (-19,4)

What is the exact distance _______ and approximate distance _________ of (-24,-4) and (-25,-11)

*print*Print*list*Cite

### 1 Answer

Consider two points (a,b) and (c,d). The distance d between these two points is given by;

`d = sqrt((a-c)^2+(b-d)^2)`

So moving on to our question we have two points (-9,11) and (-19,4).

`d1 = sqrt((-9-(-19))^2+(11-4)^2) = sqrt149 = 12.20655`

** So the exact answer is **`sqrt149`

*Answer by approximation of 3 decimal places is 12.206*

In the same way the distance between next points are as;

`d2 = sqrt50 = 5sqrt2 = 7.07107`

** So the exact answer is **`5sqrt2`

*Answer by approximation of 3 decimal places is 7.071*

**Sources:**