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

Answer:

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

Step-by-step 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

Answer:

$\sqrt{20}$.

Step-by-step 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

$\sqrt{(2- (-2))^2+(-5- (-3))^2}$.

$\sqrt{(2+2))^2+(-5+3)^2}$.

$\sqrt{(4))^2+(-2)^2}$.

$\sqrt{16+4$.

$\sqrt{20}$.

Therefore, $\sqrt{20}$.