Answer:
√13 units.
Explanation:
To find the distance between any two points, use the distance formula below:
[tex]Distance=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]Given the points as:
[tex]\begin{gathered} (x_1,y_1)=(4,5) \\ \mleft(x_2,y_2\mright)=\mleft(2,2\mright) \end{gathered}[/tex]Substitute the points into the formula:
[tex]\begin{gathered} Distance=\sqrt[]{(2-4)^2+(2-5)^2} \\ =\sqrt[]{(-2)^2+(-3)^2} \\ =\sqrt[]{4+9} \\ =\sqrt[]{13} \end{gathered}[/tex]The distance between the two points is √13 units.
The graph is attached below:
Note: √13 is approximately 3.61 units (to 2 decimal places).
