Rosaisabel02viz
Answered

y varies directly as twice of x and inversely as the square root of z when y=12 x=4 and z=36​

Sagot :

Answer:

k = 9

Step-by-step explanation:

Let the constant of the variation be k.

[tex]\rm y = \frac{2xk}{\sqrt{z} }[/tex]

Given that y = 12 when x = 4 and z = 36

[tex]\hookrightarrow \rm 12 = \frac{2(4)(k)}{\sqrt{36} }[/tex]

[tex]\hookrightarrow \rm 12 = \frac{8k}{6}[/tex]

[tex]\hookrightarrow \rm k =\frac{12(6)}{8}[/tex]

[tex]\hookrightarrow \rm k = \frac{72}{8}[/tex]

[tex]\hookrightarrow \boxed{\rm k = 9}[/tex]

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