If a = (0, 0) and b = (6, 3), what is the length of ? a.7.73 units b.6.24 units c.5.20 units d.6.71 units

Given two points A(x₁,y₁) and B(x₂,y₂) the distance betwen these points will be:
dist(A,B)=√[(x₂-x₁)²+(y₂-y₁)²].

We have these points: A(0,0) and B(6,3); its distance will be:

dist(A,B)=√[(6-0)²+(3-0)²]
=√(6²+3²)
=√(36+9)
=√45 ≈ 6.71

  D.    6.71 units.