Option C: 6 is the value of [tex]b(-10)[/tex]
Explanation:
The given expression is [tex]b(x)=|x+4|[/tex]
We need to determine the value of [tex]b(-10)[/tex]
To find the value of [tex]b(-10)[/tex], let us substitute [tex]x=-10[/tex] in the given expression.
Thus, substituting [tex]x=-10[/tex] in the expression, we have,
[tex]b(-10)=|-10+4|[/tex]
Adding the terms, we get,
[tex]b(-10)=|-6|[/tex]
Since, we know the absolute rule that [tex]|-a|=a[/tex] and the simplified expression is of the form [tex]|-a|[/tex] , let us apply the absolute rule in the simplified expression.
Thus, we have,
[tex]b(-10)=6[/tex]
Thus, the value of [tex]b(-10)[/tex] is 6.
Hence, Option C is the correct answer.