Question

Point X is (3,-6). Which point is 10 units away from Point X?

Answer 1

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

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

By taking the point X, whose coordinates are (3, -6), and point A whose coordinates are (4,4), the distance between these points would be:

`\begin{gathered} d=\sqrt[]{(4-3)^2+(4-(-6))^2} \\ d=\sqrt[]{(1)^2+(4+6)^2} \\ d=\sqrt[]{(1)^2+(10)^2} \\ d=\sqrt[]{1+100} \\ d=\sqrt[]{101}\approx100 \end{gathered}`

Then, the answer is point A