Question

Segment AB has point A located at (6, 5). If the distance from A to B is 5 units, which of the following could be used to calculate the coordinates for point B? (5 points)


5 = square root of the quantity of x minus 6 all squared plus y minus 5 all squared
5 = square root of the quantity of x minus 5 all squared plus y minus 6 all squared
5 = square root of the quantity of x plus 6 all squared plus y plus 5 all squared
5 = square root of the quantity of x plus 5 all squared plus y plus 6 all squared

Answer 1

I think B

Answer 2

\( \Large\text{Distance} = \sqrt{ (\color{cyan}{x_2} -\color{red}{x_1})^2 + (\color{green}{y_2} - \color{orange}{y_1)}^2 } \)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{cyan}{x_2}, \color{green}{y_2})\)

So your two points are

\((\color{red}{6}, \color{orange}{5})\) and \((\color{cyan}{x}, \color{green}{y})\)