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barxatty [35]
3 years ago
6

P is directly proportional to (q+2)2.When q = 1, p= 1.Find p when q = 10.​

Mathematics
1 answer:
denpristay [2]3 years ago
3 0

Answer:

p = 16

Step-by-step explanation:

Given p is directly proportional to (q + 2)² then the equation relating them is

p = k(q + 2)² ← k is the constant of proportion

To find k use the condition when q = 1, p = 1

1 = k(1 + 2)² = k × 3² = 9k ( divide both sides by 9 )

\frac{1}{9} = k

p = \frac{1}{9} (q + 2)² ← equation of proportion

When q = 10 , then

p = \frac{1}{9} × (10 + 2)² = \frac{1}{9} × 12² = \frac{1}{9} × 144 = 16

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