Answer:
![\large\boxed{\sf{4}}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/sswowdg9b1ivyt0h6gdyell7mb2rlhfz6z.png)
Explanation:
Given:
- Use the distance formula.
Distance formula:
![\rightarrow: \sf{√((x_2-x_1)^2+(y_2-y_1)^2) }}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/1u4hwpzpsyc8b9n48dhbhbe4aes6cqbjcr.png)
Solutions:
![\sf{√(\left(6-6\right)^2+\left(1-\left(-3\right)\right)^2)}}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/17z60b7fkuter3xwc40hh0w0m9lysbzogs.png)
Solve.
PEMDAS stands for:
- Parentheses
- Exponents
- Multiply
- Divide
- Add
- Subtract
![\sf{1-\left(-3\right)=1+3}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/55tn0eadtgmuvjwqywzzb4lmik1xxvx3e3.png)
![\sf{\left(6-6\right)^2+\left(1+3\right)^2}](https://img.qammunity.org/2023/formulas/mathematics/middle-school/snvpcfd9hn7fpk4qhmc0e0gvfr1tkgcbrl.png)
Do parentheses first.
6-6=0
0²=0
0+(1+3)²
1+3=4
Then exponents.
4²=4*4=16
√16
Factor.
4²=16
√4²
√4²=4
Therefore, the distance in units between the points (6,-3) and (6,1) is 4, which is our answer.
I hope this helps, let me know if you have any questions.