p is inversely proportional to the square of (q + 4). p = 2 when q = 2. Find the value of p when q = –2
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Answer:
p=18
Step-by-step explanation:
Given,
p∝1/(q+4)²
then,
p=k/(q+4)²------(i)
where k is constant
now,
A.T.Q
when q=2, p=2
substituting this values in eqn (i) we get
2=k/(2+4)²
=>k=2x36=72
now,
when q=-2
substituting value of q and k in eqn (i),we get
p=72/(-2+4)²
=>p=72/4
=>p=18
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