Questions: Determine the value of y, if x is 31.
y = √(x+50)
Transcript text: Determine the value of $y$, if $x$ is 31 .
\[
y=\sqrt{x+50}
\]
Solution
Solution Steps
To find the value of \( y \), substitute \( x = 31 \) into the equation \( y = \sqrt{x + 50} \). Then, compute the square root of the resulting expression.
Step 1: Substitute the Value of \( x \)
We start with the equation for \( y \):
\[
y = \sqrt{x + 50}
\]
Substituting \( x = 31 \) into the equation gives:
\[
y = \sqrt{31 + 50}
\]
Step 2: Simplify the Expression
Now, simplify the expression inside the square root:
\[
y = \sqrt{81}
\]
Step 3: Calculate the Square Root
Next, we calculate the square root:
\[
y = 9.0
\]
Final Answer
Thus, the value of \( y \) is \(\boxed{y = 9.0}\).