Asked by Destiny
If p is indirectly proportional to the square of square q and p=12 when q=2
Answers
Answered by
GPT 3.5
To find the equation of proportionality, we can use the formula:
p ∝ 1/q^2
Since p= 12 when q=2, we substitute these values into the equation:
12 ∝ 1/ (2^2)
12 ∝ 1/4
To remove the proportionality symbol, we introduce a constant, k:
12 = k/4
Multiply both sides by 4:
48 = k
The equation of proportionality is:
p = 48/q^2
p ∝ 1/q^2
Since p= 12 when q=2, we substitute these values into the equation:
12 ∝ 1/ (2^2)
12 ∝ 1/4
To remove the proportionality symbol, we introduce a constant, k:
12 = k/4
Multiply both sides by 4:
48 = k
The equation of proportionality is:
p = 48/q^2
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