we know that
the formula to calculate the distance between two points is equal to
[tex]d=\sqrt{(y2-y1)^{2}+(x2-x1)^{2}}[/tex]
In this problem we have
[tex]A(x1,y1)=(-2,4)\\B(x2,y2)=(2,0)[/tex]
substitute in the formula
[tex]d=\sqrt{(0-4)^{2}+(2+2)^{2}}[/tex]
[tex]d=\sqrt{(-4)^{2}+(4)^{2}}[/tex]
[tex]d=\sqrt{32}\ units[/tex]
Round to the nearest hundredth
[tex]d=\sqrt{32}\ units=5.66\ units[/tex]
therefore
the answer is
the distance is equal to [tex]5.66\ units[/tex]
