Respuesta :

Answer:

B. 7.8

Explanation:

Given the coordinates P(8,2) and Q (3,8). he distance between them can be gotten by using the formula below;

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

From the given coordinates,

x1 = 8, y1 = 2, x2 = 3 and y2 = 8

Substitute

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

Hence the distance between the two points is 7.8

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