Question

Use the geometric mean to solve for the value of x. (1 point) Responses 60 60 17 17 7.75 7.75 2.65
5
12

Answer 1

5
12

Answer 2

To find the value of \( x \) using the geometric mean, we need to have two values or a pair of numbers. The geometric mean of two numbers \( a \) and \( b \) is calculated as:

\[
\text{Geometric Mean} = \sqrt{a \cdot b}
\]

If you provide two specific values or give further context about the problem (like the two numbers you want to find the geometric mean for, or an equation), I can help you solve for \( x \).

Based on the responses you provided, it looks like we need to clarify what values we should be considering. Please provide the necessary details.

Answer 3

To find the value of \( x \) using the geometric mean of the numbers \( 5 \) and \( 12 \), we use the geometric mean formula:

\[
\text{Geometric Mean} = \sqrt{a \cdot b}
\]

Here, \( a = 5 \) and \( b = 12 \).

Now, we calculate the geometric mean:

\[
\text{Geometric Mean} = \sqrt{5 \cdot 12} = \sqrt{60}
\]

Now, we can simplify \( \sqrt{60} \):

\[
\sqrt{60} = \sqrt{4 \cdot 15} = \sqrt{4} \cdot \sqrt{15} = 2\sqrt{15}
\]

So, the geometric mean (value of \( x \)) is:

\[
x = \sqrt{60} \approx 7.75 \text{ (as } \sqrt{15} \approx 3.87)
\]

Thus, the answer approximately equals \( 7.75 \).

If you need \( x \) to be represented directly, \( x \approx 7.75 \).