Respuesta :

gmany

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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