Question

Calcule a distância entre os pontos A (-1,3) e B (6,4)

Answer 1

Resposta: 5√2

$dAB=\sqrt{(x_{b}-x_{a})^{2} +(y_{b}-y_{a})^{2} }\\dAB=\sqrt{[6-(-1)]^{2} +(4-3)^{2} }\\dAB=\sqrt{(6+1)^{2} +(1)^{2}}\\dAB=\sqrt{(7)^{2} +(1)^{2}}\\dAB=\sqrt{49+1}\\dAB=\sqrt{50}\\fatorar;\\dAB=\sqrt{5^{2}*2}\\dAB=5\sqrt{2}$

Explicação passo-a-passo: