manny46961 manny46961

22-05-2021
Mathematics

contestada

If p is inversely proportional to the square of q and p is 3 when he was 12 determine p when q is equal to 3

Respuesta :

adefunkeadewole adefunkeadewole

23-05-2021

Answer:

p = 48

Step-by-step explanation:

If p is inversely proportional to the square of q

This is written Mathematically as:

p ∝ 1/q²

p = k × 1/q²

p = k/q²

Cross Multiply

k = pq²

k = Constant of Proportionality

Step 1

We find k

When p is 3 when q was 12

k = pq²

k = 3 × 12²

k = 432

Step 3

determine p when q is equal to 3

p = k/q²

p = 432/3²

p = 48

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