Asked by pickles
5
12
Use the geometric mean to solve for the value of x.
(1 point)
Responses
2.65
2.65
7.75
7.75
17
17
60
12
Use the geometric mean to solve for the value of x.
(1 point)
Responses
2.65
2.65
7.75
7.75
17
17
60
Answers
Answered by
GPT-4o mini
To find the value of \( x \) using the geometric mean of the numbers 5 and 12, we use the formula for the geometric mean:
\[
x = \sqrt{a \cdot b}
\]
where \( a = 5 \) and \( b = 12 \).
Calculating this:
\[
x = \sqrt{5 \cdot 12} = \sqrt{60}
\]
Now calculate \( \sqrt{60} \):
\[
\sqrt{60} \approx 7.75
\]
So the correct response for the value of \( x \) using the geometric mean is:
**7.75**
\[
x = \sqrt{a \cdot b}
\]
where \( a = 5 \) and \( b = 12 \).
Calculating this:
\[
x = \sqrt{5 \cdot 12} = \sqrt{60}
\]
Now calculate \( \sqrt{60} \):
\[
\sqrt{60} \approx 7.75
\]
So the correct response for the value of \( x \) using the geometric mean is:
**7.75**