Respuesta :

To answer this question we will use the following formula to compute the distance between two given points:

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

Therefore the distance between (0,-5) and (4,1) is:

[tex]d=\sqrt{(0-4)^2+(-5-1)^2}.[/tex]

Simplifying the above result we get:

[tex]\begin{gathered} d=\sqrt{(-4)^2+(-6)^2}=\sqrt{16+36}=\sqrt{52} \\ \approx7.2. \end{gathered}[/tex]

Answer: 7.2.