Question

Find the distance between the following pairs of points.

(2,-1),(7,-1)

Answer 1

5

Explanation:

`\sqrt{(7-2)^2+((-1)-(-1))^2\\`

subtract 2 from 7

`\sqrt{5^2+((-1)-(-1))^2`

raise 5 to the power of 2

`\sqrt{25+((-1)-(-1))^2`

Multiply -1 by -1

`\sqrt{25+(-1+1)^2`

Add -1 and 1

`\sqrt{25+0^2`

Add 25 and 0

`\sqrt{25`

rewrite 25 as 5^2

`\sqrt{5^(2)`

pull term out from under the radical assuming positive real numbers.

5