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2 years ago

Simplify. 17 – (–8) – 9 34 18 0 16

Mathematics

1 answer:

Tanya [424]2 years ago

7 0

17 – (–8) – 9
= 17 + 8 - 9
= 25 - 9
= 16

answer is 16

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Step-by-step explanation:

Y varies directly as the square of x (Given)

$\implies y\:\alpha \:x^2$ ......(1)

Y varies inversely as the square root of z (Given)
$\implies y\:\alpha\: \frac{1}{\sqrt z}$ ......(2)

Combining (1) & (2), we find:

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Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

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Plugging the value of k in (3), we find:

$y=\frac{4x^2}{9\sqrt z}$ ....(4)

Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

$5=\frac{4(n)^2}{9\sqrt {16}}$

$\implies 5=\frac{4(n)^2}{9(4)}$

$\implies 5=\frac{(n)^2}{9}$

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$\implies n\approx 6.708$

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