Respuesta :

Answer: A
Pythagoras’ theorem
a squared + b squared = c squared
4 squared + 2 squared = 16 + 4 = 20
VW = the square root of 20

The length of VW is [tex]\sqrt{20}[/tex] units.

What is a straight line?

'A straight line is an endless one-dimensional figure that has no width. It is a combination of endless points joined on both sides of a point.'

v = (-2 , 2 )

Let w = [tex](x_{1} , y_{1})[/tex]

      v = [tex]( x_{2}, y_{2} )[/tex]

Distance between two points =  [tex]\sqrt{(x_{2}-x_{1})^{2}+ (y_{2}-y_{1}) }[/tex]²

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

                                                 = [tex]\sqrt{20}[/tex] units.

Hence, we can conclude, the length of the line VW is [tex]\sqrt{20}[/tex] units.

Learn more about straight line here: https://brainly.in/question/47222298

#SPJ2