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