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The quantity y varies directly with the square of x and inversely with zWhen x is 9 and z is 27, y is 6What is the constant of variation?

Respuesta :

adelekeademolu

Answer:

2

Step-by-step explanation:

The statement is expressed mathematically as

[tex]y\propto \dfrac{x^2}{z}[/tex]

Introducing the constant of variation, k

[tex]y = k \dfrac{x^2}{z}[/tex]

[tex]k = \dfrac{yz}{x^2}[/tex]

When x = 9 and z = 27, y = 6.

[tex]k = \dfrac{6\times27}{9^2} = 2[/tex]

samchezo

Answer:The constant K is 2.

Step-by-step explanation:Y =K( x2/z) substituting when Y =6, x =9 and z = 27

Then 6 = k (81/27)

6 = k(3) then dividing both sides of the equation by 3

Then K ie constant is 2.

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