Mathematics: Y varies inversely as the square of x y=1.5 when x=8 Find y when x=5

Y varies inversely as the square of x y=1.5 when

Ответ:

Randomkid0973

08.08.2021

Mathematics

3.84

Step-by-step explanation:

Given that , y varies inversely as the square of x . Mathematically we can write this statement as ,

$\implies\rm y \propto \dfrac{1}{x^2}$

Let k be the constant . Therefore ,

$\implies\rm y = k \dfrac{1}{x^2}$

When y = 1.5 and x = 8 :-

Plug in the respective values ,

$\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm 1.5 = k \times \dfrac{1}{8^2} \\\\\implies\rm k = 1.5 \times 64 \\\\\implies\rm k = 96$

When x = 5 :-

$\implies\rm y = k \dfrac{1}{x^2} \\\\\implies\rm y = 96 \times \dfrac{1}{5^2}=\dfrac{ 96}{25} \\\\\implies\rm\boxed{ y = 3.84 }$

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Ответ:

shirlsmith72

26.04.2021

Mathematics

The fraction 5/-12 will be shown as a positive number divided by a negative number, which always results in a negative amount. The fractions have different value, so Liam is not correct. [I'm assuming thats your fraction because its the same I had a few days ago]

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Y varies inversely as the square of x
y=1.5 when x=8
Find y when x=5

Ответ:

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