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]