Question

I need help with #39-42, please explain.

Answer 1

For question 39 & 40, we need to use the below equation to complete the sentence

`l=m√(n)`

Question 39:

When ' n ' increase, the
`√(n)` will also increase and that multiplied with constant ' m ', the l will also increase.

Solution for question 39:

As
`n` increases and
`m` stays constant ,
`l` increases

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Question 40:

Solving the equation for m, we get

`l = m√(n) \\ \\ m=(l)/(√(n))`

When ' l ' increases, the numerator increase, the denominator stays constant because 'n' stays constant, for this condition, the fraction increases.

Solution for question 40:

As
`l` increase and
`n` stays constant,
`m` increases

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For question 41 & 42, we need to use the below equation to complete the sentence

`r=s^2/t^2`

Question 41:

When
`s` is triped, the equation will be...

`r=(3s)^2/t^2=(3^(2)s^(2))/(t^2) =9s^2/t^2`

Solution for question 41:

If
`s` is tripled and
`t` stays constant,
`r` is multiplied by 9

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Question 42:

When t is doubled, the equation will be...

`r=s^2/(2t)^2=(s^2)/(2^2 \cdot t^2)=(s^2)/(4t^2)\\ \\ r=0.25s^2/t^2 \; \; (or) \; \; (1)/(4) \cdot (s^2)/(t^2)`

Solution for 42:

If
`t` doubled and
`s` stays constant,
`r` is multiplied by 1/4 or 0.25