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Hunter-Best [27]
3 years ago
14

The square of p varies inversely as q. When Q=6 p=4

Mathematics
1 answer:
Alecsey [184]3 years ago
8 0

Answer:

A

Step-by-step explanation:

Given p² varies inversely as q then the equation relating them is

p² = \frac{k}{q} ← k is the constant of variation

To find use the condition when q = 6, p = 4 , then

4² = \frac{k}{6}

16 = \frac{k}{6} ( multiply both sides by 6 )

96 = k

p² = \frac{96}{q} ← equation of variation

When p = 12 , then

12² = \frac{96}{q} ( multiply both sides by q )

144q = 96 ( divide both sides by 144 )

q = \frac{96}{144} = \frac{2}{3} → A

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