chibest0300 chibest0300
  • 19-02-2022
  • Mathematics
contestada

Y is inversely proportional to x2. When y =10, x = 2, what is y
when x = 10?

Respuesta :

semsee45
semsee45 semsee45
  • 19-02-2022

Answer:

[tex]\dfrac25[/tex]

Step-by-step explanation:

[tex]y \propto \dfrac{1}{x^2} \implies y=\dfrac{k}{x^2} \ \ \ \textsf{where k is some constant}[/tex]

when y = 10 and x  =2:

[tex]\implies 10=\dfrac{k}{2^2}[/tex]

[tex]\implies k=40[/tex]

Therefore,

[tex]\implies y=\dfrac{40}{x^2}[/tex]

when x=10:

[tex]\implies y=\dfrac{40}{10^2}=\dfrac{40}{100}=\dfrac25[/tex]

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