Answer: 14.32 units
Explanation:
The formula for calculate the distance between two points is:
![d=√((x_2-x_1)^2+(y_2-y_1)^2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jq23b7gn8a5hqb5oj8gmcxlbivj810cso4.png)
In this case, given the points (-2,8) and (11,2), we can identify that:
![x_2=11\\x_1=-2\\\\y_2=2\\y_1=8](https://img.qammunity.org/2020/formulas/mathematics/high-school/s4nsol2dqcxc5uxoz4zskgy0pqcytmtnyu.png)
Therefore, we just need to substitute values into the formula in order to calculate the distance between the given points. This is (Rounded to the nearest hundred):
![d=√((11-(-2))^2+(2-8)^2)\\\\d=14.32\ units](https://img.qammunity.org/2020/formulas/mathematics/high-school/dpj6h70jxstdbcaqhjenldnztffvx7lf0b.png)