Respuesta :

Answer:

The distance from point A to point B is;

[tex]5\text{ units}[/tex]

Explanation:

Given the points A and B with coordinates as shown on the graph;

[tex]\begin{gathered} A(0,5) \\ B(3,1) \end{gathered}[/tex]

Recall that the distance between two points can be calculated using the formula;

[tex]d=\sqrt[]{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

substituting the coordinates of point A and B. we have;

[tex]\begin{gathered} d=\sqrt[]{(3-0)^2+(1-5)^2} \\ d=\sqrt[]{3^2+4^2} \\ d=\sqrt[]{9+16} \\ d=\sqrt[]{25} \\ d=5 \end{gathered}[/tex]

Therefore, the distance from point A to point B is;

[tex]5\text{ units}[/tex]