Question

esse é igual a outra me  A(-3,5) B(3,13)

Answer 1

$d_{AB}=\sqrt{(x_B-x_A)^2+(y_B-y_A)^2}\\ \\ d_{AB}=\sqrt{(3-(-3))^2+(13-5)^2}\\ \\ d_{AB}=\sqrt{6^2+8^2}\\ \\ d_{AB}=\sqrt{100}=10$

Answer 2

$\boxed { \begin{array}{l} \rm \: d_{AB} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{( - 3 - 3) {}^{2} + (5 - 13) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{( - 6) {}^{2} +( - 8) {}^{2} } \\ \\ \rm \: d_{AB} = \sqrt{36 + 64 \: } \\ \\ \rm \: d_{AB} = \sqrt{100 \: } \\ \\ \boxed{ \rm d_{AB} = 10}\end{array}}$