What is the distance between (-11,-11) and (21,-22)?

May 1, 2018

$\sqrt{1145} \approx 33.84 \text{ to 2 dec. places}$

Explanation:

$\text{using the "color(blue)"distance formula}$

•color(white)(x)d=sqrt((x_2-x_1)^2+(y_2-y_1)^2)

$\text{let "(x_1,y_1)=(-11,-11)" and } \left({x}_{2} , {y}_{2}\right) = \left(21 , - 22\right)$

d=sqrt((21-(-11))^2+(-22-(-11))^2

$\textcolor{w h i t e}{x} = \sqrt{{32}^{2} + {\left(- 11\right)}^{2}}$

$\textcolor{w h i t e}{d} = \sqrt{1024 + 121} = \sqrt{1145} \approx 33.84$