Question
Determine the value of \( y \), if \( x \) is 12 \[ y=x^{2}+9 \]
Ask by Stephens Hodges. in the United States
Dec 14,2024
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( y = 153 \)
Solution
To determine the value of \( y \) when \( x = 12 \), we can substitute \( x \) into the equation:
\[
y = x^2 + 9
\]
Substituting \( x = 12 \):
\[
y = 12^2 + 9
\]
Calculating \( 12^2 \):
\[
12^2 = 144
\]
Now substituting this value back into the equation:
\[
y = 144 + 9
\]
Adding the two values:
\[
y = 153
\]
Thus, the value of \( y \) is
\[
\boxed{153}
\]
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Simplify this solution Beyond the Answer
To find the value of \( y \) when \( x = 12 \), you can substitute \( x \) into the equation: \[ y = x^{2} + 9 \] Substituting \( x = 12 \): \[ y = 12^{2} + 9 \] Calculating \( 12^{2} \): \[ 12^{2} = 144 \] Now, add 9: \[ y = 144 + 9 = 153 \] Therefore, the value of \( y \) is \( 153 \).
