The quantity p varies inversely as the square of (q + 2) p=5 when q = 3 Find p when q = 8

Mathematics

1 answer:

MArishka [77]3 years ago

7 0

Answer:

p = 1.25

Step-by-step explanation:

varies inversely

p (q + 2)² = k

-----------------------

Find k

p=5 when q = 3

5(3 + 2)² = k

5(25) = k

125 = k

----------------------

Find p when q = 8

p(8 + 2)² = 125

p(100) = 125

divide both sides by 100

p = 1.25

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