Respuesta :

The distance formula is given to be:

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

The two points on the graph are given to be:

[tex]\begin{gathered} (x_1,y_1)=(-2,0) \\ (x_2,y_2)=(3,-2) \end{gathered}[/tex]

Therefore, we can calculate the distance to be:

[tex]\begin{gathered} d=\sqrt[]{(3-(-2))^2+(-2-0)^2} \\ d=\sqrt[]{5^2+(-2)^2} \\ d=\sqrt[]{25+4} \\ d=\sqrt[]{29} \end{gathered}[/tex]

The correct option is OPTION D.