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].
