Answer:
[tex]\boxed {\tt b(-10)=6}[/tex]
Step-by-step explanation:
We are given the function:
[tex]b(x)= \mid x+4 \mid[/tex]
We want to find b(-10). Therefore, we must plug -10 in for each x.
[tex]b(-10)= \mid -10+4 \mid[/tex]
Solve inside of the absolute value symbol. Add 4 to -10 ⇒ -10+4= -6
[tex]b(-10)= \mid -6 \mid[/tex]
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.
[tex]b(-10)= 6[/tex]
b(-10) is equal to 6.
