Answer: [tex]\displaystyle d=\sqrt{1 7}\;\text{or about 4.123 units}[/tex]
Step-by-step explanation:
We can use the distance formula to solve. Let (4, 6) be point one and (5, 2) be point two.
[tex]\displaystyle d=\sqrt{(x_{2}-x_{1})^2 +(y_{2}-y_{1})^2}[/tex]
[tex]\displaystyle d=\sqrt{(5-4)^2 +(2-6)^2}[/tex]
[tex]\displaystyle d=\sqrt{(1)^2 +(-4)^2}[/tex]
[tex]\displaystyle d=\sqrt{1 +16}[/tex]
[tex]\displaystyle d=\sqrt{1 7}[/tex]