Answer:
The exact length of segment XY is √4765 and the approximate length is 69.029
Explanation:
The length of a segment that goes from (x1, y1) to (x2, y2) can be calculated as
[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
So, replacing (x1, y1) by X(-32, 88) and (x2, y2) by Y(11, 34), we get:
[tex]\begin{gathered} \sqrt{(11-(-32))^2+(34-88)^2} \\ \sqrt{(11+32)^2+(-54)^2} \\ \sqrt{43^2+(-54)^2} \\ \sqrt{1849+2916} \\ \sqrt{4765} \\ 69.029 \end{gathered}[/tex]
Therefore, the exact length of segment XY is √4765 and the approximate length is 69.029
