Answer :

Sure, let's determine the value of [tex]\( y \)[/tex] given that [tex]\( x = 12 \)[/tex] and the equation [tex]\( y = |x| + 5 \)[/tex].

1. Identify the Given Information:
[tex]\[ x = 12 \][/tex]

2. Substitute [tex]\( x \)[/tex] into the Equation:
[tex]\[ y = |12| + 5 \][/tex]

3. Calculate the Absolute Value:
The absolute value of 12 is 12.
[tex]\[ |12| = 12 \][/tex]

4. Add 5 to the Absolute Value:
[tex]\[ y = 12 + 5 \][/tex]

5. Perform the Addition:
[tex]\[ y = 17 \][/tex]

Hence, the value of [tex]\( y \)[/tex] is [tex]\( 17 \)[/tex].