Answer: distance =
, or in fully simplified form, distance = 17.029386
Step-by-step explanation: (disclaimer! im not sure what LaTeX means in this case, but if you just needed the distance between the two points in this case then i can help)
1. the distance formula is d =
![\sqrt{(x_(2) -x_(1) )^(2) + (y_(2) -y_(1))^2 }](https://img.qammunity.org/2022/formulas/mathematics/college/og0qvh1zfpxkps0aej94ggoivxrb4cjnsp.png)
2. you substitute the values for x and y: d=
![\sqrt{(13-2)^(2) +(20-7)^2}](https://img.qammunity.org/2022/formulas/mathematics/college/ivkceeemhgcqym6mckqna5w1jzyl08bnpq.png)
3. simplify: distance =
, or, when you use a calculator to simplify that even more, you get distance = 17.029386
I hope this helps you! :)