Question

Find the distance between the points ( 3,1 ) and (9,9). Write answers as a whole number or a fully simplified radical expression. Do not round

Answer 1

The distance between two points (x1, y1) and (x2, y2) can be calculated as follows:

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

The points are given: (3, 1) and (9, 9), thus:

`d=\sqrt[]{(9-3)^2+(9-1)^2}`

Operating:

`\begin{gathered} d=\sqrt[]{6^2+8^2} \\ d=\sqrt[]{36+64} \\ d=\sqrt[]{100} \\ d=10 \end{gathered}`

The distance is 10