Question

Find the length of the segment connecting (6, 2) and (1, 8). Round your answer to the nearest tenth. 12 10 8 6 4 2. 2 4 6 8 10 12 1

Answer 1

The distance between two points (x1,y1) and (x2,y2) is given by the following formula:

`\sqrt[]{(x2-x1)^2+(y2-y1)^2}`

In this case, we are given the points (6,2) and (1,8), by replacing 6 for x1, 1 for x2, 2 for y1, and 8 for y2, we get:

`\sqrt[]{(1-6)^2+(8-2})^2=\sqrt[]{(-5)^2+(6)^2}=\sqrt[]{25+36}=\sqrt[]{61}\approx7.8`

Then, the distance between these points is around 7.8 units