Respuesta :

Answer:

Length of VW = 4.47 units

Step-by-step explanation:

We have to find the length of segment VW.

Coordinates of the points W are (-4, -2) and coordinates of V are (-2, 2)

Now we know the formula to get the length of VW.

VW = [tex]\sqrt{(y-y')^{2}+(x-x')^{2}}[/tex]

      = [tex]\sqrt{(2+2)^{2}+(-2+4)^{2}}[/tex]

      = [tex]\sqrt{4^{2}+2^{2}}[/tex]

      = [tex]\sqrt{16+4}=\sqrt{20}[/tex]

      = 2√5

      = 4.47 units

Therefore, the length of VW = 4.47 units