Respuesta :

Answer:

Explanation:

a) From the question, we have it that y joint varies as m an n then inversely with the square of d

Let us have k as the variation constant

We have this as:

[tex]\begin{gathered} y\text{ }\alpha\text{ }\frac{mn}{d^2} \\ \\ y\text{ = k}\cdot\frac{mn}{d^2} \end{gathered}[/tex]

b) We want to find the variation constant value

To get this, we use the values supplied in the question

[tex]\begin{gathered} 12\text{ = k}\times\frac{3\times8}{2^2} \\ k\text{ = }\frac{12\times4}{24} \\ k\text{ = 2} \end{gathered}[/tex]

c) We want to find the value of y given the second condition set

mathematically, we have that as:

[tex]y\text{ = }\frac{2\times\text{ - 3}\times18}{3^2}\text{ = -12}[/tex]

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