Answer :

Sure, let's find [tex]\( h(-5) \)[/tex] for the function [tex]\( h(x) = -4x - 10 \)[/tex].

1. Substitute [tex]\( x = -5 \)[/tex] into the function:
[tex]\[ h(-5) = -4(-5) - 10 \][/tex]

2. Multiply:
[tex]\[ -4 \times -5 = 20 \][/tex]

3. Subtract 10 from the result:
[tex]\[ 20 - 10 = 10 \][/tex]

Therefore, the value of [tex]\( h(-5) \)[/tex] is [tex]\( 10 \)[/tex].

Among the given choices, the correct answer is:
[tex]\[ \boxed{10} \][/tex]