Questions: Determine the value of y, if x is 31. y = √(x+50)

Determine the value of y, if x is 31.
y = √(x+50)
Transcript text: Determine the value of $y$, if $x$ is 31 . \[ y=\sqrt{x+50} \]
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Solution

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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 \(\boxed{y = 9.0}\).

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