Question

5) Calcule a distância entre os pontos A(0,-2) e B (-6, -10)​

Answer 1

$\sf{(y_B-y_A)^2=(-10-[-2])^2=(-10+2)^2=(-8)^2=64}$

$\sf{(x_B-x_A)^2=(-6-0)^2=(-6)^2=36}$

$\sf{d_{A,B}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}}$

$\sf{d_{A,B}=\sqrt{36+64}=\sqrt{100}}\\\huge\boxed{\boxed{\boxed{\boxed{\sf{d_{A,B}=10}}}}}$