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