Respuesta :

ANSWER:

7.8 units

STEP-BY-STEP EXPLANATION:

We have the following points:

[tex]\begin{gathered} P(8,2) \\ Q(3,8) \end{gathered}[/tex]

In this case, we must apply the following formula to calculate the distance between both points:

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

replacing:

[tex]\begin{gathered} d=\sqrt[]{(3-8)^2+(8-2_{})^2} \\ d=\sqrt[]{(-5)^2+(6_{})^2} \\ d=\sqrt[]{25+36} \\ d=\sqrt[]{61} \\ d=7.8 \end{gathered}[/tex]

The distance between both points is 7.8 units

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