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3 years ago

Suppose that y is inversely proportional to square root of x.

Mathematics

1 answer:

FromTheMoon [43]3 years ago

7 0

Answer:

i) k = 36.8

ii)y = 36.8/square root of x

iii)y = 1.4

Step-by-step explanation:

If y is inversely proportional to square root of x;

then the two variables are related by,

y = k/ square root of x

i)Value of k when...x = 8 and y = 13,

substitute into the equation above..so as to find the value of k

13 = k/square root of 8

;k = 13 × square root of 8

;k = 36.8

ii)Then substitute the value of k with...36.8

y = 36.8/square root of x

iii)If x = 27...then y =;

y = 36.8/27

y = 1.4

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$\boxed{ \bold{ \boxed{ \sf{1. \: \: \: \: \: x = 12}}}}$

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Similarly, move 2 to right hand side and change it's sign

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Do cross multiplication

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--------------------------------------------------------------------

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Distribute 3 through the parentheses

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Move x to left hand side and change it's sign

Similarly, move 12 to right hand side and change it's sign

$\longrightarrow{ \sf{6x + x = 33 - 12}}$

Collect like terms

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Subtract 12 from 33

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Divide both sides by 7

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Hope I helped!

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