22bechtoldj 22bechtoldj
  • 23-01-2020
  • Mathematics
contestada

- V17 is the geometric mean between 7 and what other number?

Respuesta :

gmany
gmany gmany
  • 23-01-2020

Answer:

[tex]\large\boxed{x=\dfrac{17}{7}}[/tex]

Step-by-step explanation:

[tex]\text{A geometric mean of}\ x\ \text{and}\ y:\\\\\sqrt{xy}\\\\\text{Let}\ x-\text{the number}.\\\\\text{Substitute:}\\\\\sqrt{17}=\sqrt{(7)(x)}\iff17=7x\qquad\text{divide both sides by 7}\\\\\dfrac{17}{7}=\dfrac{7x}{7}\to x=\dfrac{17}{7}[/tex]

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