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рум 14. W varies directly as the square of x and inversely as p and q. If w=12 when x = 4, p = 2 and q = 20, find w when x =3, p = 8 and 9 = 5. 27 n​

Sagot :

Answer:

[tex]w=\frac{k\sqrt{x} }{pq}[/tex]

[tex]12=\frac{k\sqrt{4} }{2(20)}[/tex]

[tex]k\sqrt{4} =12(2(20))[/tex]

[tex]k =\frac{12(2(20))}{\sqrt{4}}[/tex]

[tex]k=240[/tex]

[tex]Find[/tex] [tex]w:[/tex]

[tex]w=\frac{240\sqrt{3} }{8(5.27)}[/tex]

[tex]w= 11.385[/tex]  → Ans.