z varies jontly as the square root of the product of x and y if z=3 when x=3 and y=12 find x when z=6 and y =64
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z varies jontly as the square root of the product of x and y if z=3 when x=3 and y=12 find x when z=6 and y =64
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Step-by-step explanation:
z=kxy
3=k(3)(12)
3=k(36)
3=36k
[tex]z=kxy \\
3=k(3)(12) \\
3=k(36) \\
3=36k[/tex]
[tex]z=kxy \\
3=k(3)(12) \\
3=k(36) \\
3=36k \\ \\
z=kxy \\
3=k(3)(12) \\ 3=k(36) \\
3=36k \\ \frac{3}{36} = \frac{36k}{36} \\ \frac{3}{36} or \: \frac{1}{12} = k \\ \\ z = \frac{1}{12} xy \\ 6 = \frac{1}{12} x(64) \\ 6 = \frac{1}{12}(64)x \\ 6 = \frac{64}{12}x \\ 6 = \frac{16}{3} [/tex]