Respuesta :
Answer:
9
Step-by-step explanation:
[tex]\text{The geometric mean of two numbers}\ a\ \text{and}\ b:\\\\M=\sqrt{(a)(b)}\\\\\text{We have}\\\\M=15,\ a=25\\\\\text{substitute:}\\\\15=\sqrt{25b}\qquad\text{square of both sides}\\\\15^2=(\sqrt{25b})^2\\\\225=25a\qquad\text{divide both sides by 25}\\\\\dfrac{225}{25}=\dfrac{25b}{25}\\\\9=b\to b=9[/tex]
The other number alongside 25, whose geometric mean is 15 is; 9
The geometric mean, M of two numbers, x and y is given mathematically as;
- M² = xy
where:
x and y are the numbers whose geometric mean is M.
According to the question;
- The geometric mean, M = 15
- The first number m, x = 25
Therefore, we have;
- 15² = 25y
- 225 = 25y
y = 9
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