Question

Cam you help me on number 5? show work please

Answer 1

B. 7.8

Step-by-step explanation:

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

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

From the given coordinates,

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

Substitute

`\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}`

Hence the distance between the two points is 7.8