Sure, let's determine the value of [tex]\( y \)[/tex] given the equation [tex]\( y = |x + 10| \)[/tex] and [tex]\( x = 3 \)[/tex].
1. Substitute [tex]\( x = 3 \)[/tex] into the equation [tex]\( y = |x + 10| \)[/tex]:
[tex]\[
y = |3 + 10|
\][/tex]
2. Add the numbers inside the absolute value:
[tex]\[
y = |13|
\][/tex]
3. The absolute value of 13 is just 13:
[tex]\[
y = 13
\][/tex]
Therefore, the value of [tex]\( y \)[/tex] when [tex]\( x = 3 \)[/tex] is [tex]\(\boxed{13}\)[/tex].
