britobeatris7 britobeatris7
  • 10-03-2022
  • Mathematics
contestada

If y varies inversely of the square of x and y= 1/72 when x=3 find y when x =5

Respuesta :

samuellai03
samuellai03 samuellai03
  • 15-03-2022

Answer:

[tex]y = \frac{1}{200}[/tex]

Step-by-step explanation:

[tex]y[/tex] ∝ [tex]\frac{k}{x^{2} }[/tex] (k is a constant we need)

[tex]\frac{1}{72} = \frac{k}{3^{2} }[/tex]

[tex]k = 0.125[/tex]

[tex]y = \frac{0.125}{5^{2} }[/tex]

[tex]y=\frac{1}{200}[/tex]

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