Question

calcule a distância entre os dois pontos a(0,-3) e b(3,-7)​

Answer 1

d ab = √(Xb - Xa)² + (Yb - Ya)²

d ab = √(3-0)² + [ -7 - (-3)]²

d ab = √(3)² + [-7+3]²

d ab = √9 + [-4]²

d ab = √9 + 16

d ab = √25

d ab = 5

Answer 2

$\large \boxed{ \begin{array}{l} \sf{d_{A,B} = \sqrt{(x_A - x_B) {}^{2} + (y_A - y_B) {}^{2} } } \\ \\ \sf{d_{A,B} = \sqrt{(0 - 3) {}^{2} + (( - 7) - ( - 3)) {}^{2} } } \\ \\ \sf{d_{A,B} = \sqrt{ ( - 3) {}^{2} + ( - 4) {}^{2} } } \\ \\ \sf{d_{A,B} = \sqrt{9 + 16} } \\ \\ \sf{d_{A,B} = \sqrt{25} } \\ \\ \boxed{ \boxed{ \boxed{ \sf{d_{A,B} = 5}}}}\end{array}}$