Question

Find the distance between the points (-5, 0) and (-4, 1).

Answer 1

The formula of a distance between two points A and B is : 

$AB=\sqrt{(x_{B}- x_{A})^2 +( y_{B}- y_{A})^2 }$

You should this formula by heart.

Then, you just have to apply it ! :D

Here :

$x_{A}=-5$
$y_{A} =0$

$x_{B} =-4$
$y_{B}= 1$

Therefore :

$\sqrt{(-4-(-5))^2+(1-0)^2}$
$= \sqrt{1^2+1^2}$
$= \sqrt{1+1}$
$= \sqrt{2}$

In short, the answer would be the first option : $\sqrt{2}$.

Hope this helps !

Photon

Answer 2

B. \[ \sqrt{2} \]  the second one