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if varies directly as x and inversely as y,and z=9 when x=6 and y=2,find z when x=8 and y=2. ​

Sagot :

Answer:

12

Step-by-step explanation:

let k be the constant of variation

[tex]z(9) = \frac{kx(6)}{y(2)} [/tex]

multiply both sides by 2 so the denominator will be cancelled.

18=k6

18/6=k

3=k

[tex]z = \frac{k(3)x(8)}{y(2)} [/tex]

3×8=24

24÷2=12