Answer:
The distance between the two points to the nearest whole number is;
[tex]\text{ Distance = 5}[/tex]
Explanation:
Given the points;
[tex]\begin{gathered} (x_1,y_1)=(2,9) \\ (x_2,y_2)=(4,14) \end{gathered}[/tex]
We want to find distance between the two points.
Using the formula;
[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
Substituting the given coordinates;
[tex]\begin{gathered} d=\sqrt[]{(4-2)^2+(14-9)^2} \\ d=\sqrt[]{(2)^2+(5)^2} \\ d=\sqrt[]{4+25} \\ d=\sqrt[]{29} \\ d=5.385 \\ d\approx5\text{ units} \end{gathered}[/tex]
Therefore, the distance between the two points to the nearest whole number is;
[tex]\text{ Distance = 5}[/tex]
