Answer:
![\boxed {\tt b(-10)=6}](https://img.qammunity.org/2021/formulas/mathematics/high-school/c61k85g87gzvez82vljlaix0hjud294wmk.png)
Explanation:
We are given the function:
![b(x)= \mid x+4 \mid](https://img.qammunity.org/2021/formulas/mathematics/high-school/6t8tl4mso3o92uxf772b6pxbkod11lwa06.png)
We want to find b(-10). Therefore, we must plug -10 in for each x.
![b(-10)= \mid -10+4 \mid](https://img.qammunity.org/2021/formulas/mathematics/high-school/wb1oe17umgkazbthlutz88xyzqxhuc58bz.png)
Solve inside of the absolute value symbol. Add 4 to -10 ⇒ -10+4= -6
![b(-10)= \mid -6 \mid](https://img.qammunity.org/2021/formulas/mathematics/high-school/e1l286tv66w4fmf96gcthct4ci3ub5131d.png)
Absolute value represents how far away a number is from 0. It is always positive.
-6 is 6 away from 0. Therefore, the absolute value of -6 is 6.
![b(-10)= 6](https://img.qammunity.org/2021/formulas/mathematics/high-school/ninyx8y2eoo9ndtwp023t8rcw44j6rfddo.png)
b(-10) is equal to 6.