Question

Riko wants to find the distance between the points (−2, −3) and (2, −5). His work is shown. Riko correct? Explain why or why not.

Answer 1

I'm guessing you want to know the distance I think so the distance is √20

Explanation:

Distance formula

√(x2-x1)^2+(y2-y1)^2

√(2-(-2)^2+(-5-(-3)^2

√16+4= 20

√20

finding the square root gives you a long decimal which is 4.472135954999 and so on

Answer 2

`√(20)`.

Explanation:

Given : points (−2, −3) and (2, −5).

To find : Find the distance .

Solution : We have given (−2, −3) and (2, −5).

Distance formula :
`\sqrt{(x_(2)-x_(1))^2+(y_(2)-y_(1))^2}`.

`x_(1)=-2`

`x_(2)= 2`

`y_(1)=-3`

`y_(2)=-5`

Plug the values

`√((2- (-2))^2+(-5- (-3))^2)`.

`√((2+2))^2+(-5+3)^2)`.

`√((4))^2+(-2)^2)`.

`\sqrt{16+4`.

`√(20)`.

Therefore,
`√(20)`.