Question

Calcule as distancias entre os dois pontos A(-2 ; -3 ) e B (0 ; 4)

Answer 1

Resposta:

Explicação passo a passo:

$d_{AB} =\sqrt{(x_{B}-x_{A} )^{2} + (y_{B}-y_{A} )^{2} } \\\\d_{AB} =\sqrt{(0-(-2) )^{2} + (4-(-3) )^{2} } \\\\d_{AB} =\sqrt{(0+2 )^{2} + (4+3 )^{2} } \\\\d_{AB} =\sqrt{2^{2} + 7^{2} } \\\\d_{AB} =\sqrt{4 + 49} }\\\\d_{AB} =\sqrt{53}$