Question

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

(7. - 3) and (5,1)

Answer 1

The distance between the points is
`d=2√(5)\ units` or
`d=4.472\ units`

Explanation:

we know that

the formula to calculate the distance between two points is equal to

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

we have

`(7,-3)\\(5,1)`

substitute the values

`d=\sqrt{(1+3)^(2)+(5-7)^(2)}`

`d=\sqrt{(4)^(2)+(-2)^(2)}`

`d=√(20)\ units`

`d=2√(5)\ units` ----> exact answer

`d=4.472\ units` -----> approximation to three decimal places