Question

I need help with this. I want to understand 7a first

Answer 1

The exact length of segment XY is √4765 and the approximate length is 69.029

Step-by-step explanation:

The length of a segment that goes from (x1, y1) to (x2, y2) can be calculated as

`√((x_2-x_1)^2+(y_2-y_1)^2)`

So, replacing (x1, y1) by X(-32, 88) and (x2, y2) by Y(11, 34), we get:

`\begin{gathered} √((11-(-32))^2+(34-88)^2) \\ √((11+32)^2+(-54)^2) \\ √(43^2+(-54)^2) \\ √(1849+2916) \\ √(4765) \\ 69.029 \end{gathered}`

Therefore, the exact length of segment XY is √4765 and the approximate length is 69.029