Answer:
See explanation
Explanation:
Some important information is missing in the question, however I will try to help.
Let us assume the theater is located at (-5,6) and the library is located at (4,1), then we can use the distance formula to find the distance from the Theater to the Library.
The distance formula is given by:
![d = \sqrt{(x_2-x_1) ^(2) +(y_2-y_1) ^(2) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/vsk5kntphyzj7x7773s26pkwws8d2odbqu.png)
We plug in the values to get:
![d = \sqrt{ {(4 - - 5)}^(2) + {(6 - 1)}^(2) }](https://img.qammunity.org/2020/formulas/mathematics/middle-school/h8xga369s4j1xfm50ll5fkcweft8i4lcop.png)
![d = √(81 + 25)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/qpsh3wq7d5lmsselokpi5ho6qqwvczct1r.png)
![d = √(144) = 12](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9y8cj33dea74zbfldlm27kybjsmjdbby4r.png)
You can plug in the points you have to get the required answer