Respuesta :

Answer:

The distance between the points is approximately 7.89 units

Explanation:

The distance between two points is given by the formula:

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

Here:

[tex]\begin{gathered} x_1=13 \\ y_1_{}=1.6 \\ x_2=5.4 \\ y_2=3.7 \end{gathered}[/tex]

Using these, we have:

[tex]\begin{gathered} D=\sqrt[]{(5.4-13)^2+(3.7-1.6)^2} \\ \\ =\sqrt[]{(-7.6)^2+(2.1)^2} \\ \\ =\sqrt[]{57.76+4.41} \\ \\ =\sqrt[]{62.17} \\ \\ =7.89\text{ approximately} \end{gathered}[/tex]