allisonjohnson4892 allisonjohnson4892
  • 25-03-2020
  • Mathematics
contestada

If p is inversely proportional to the square of q, and p is 8 when qis 9, determine p
when q is equal to 3.

Respuesta :

fayemioluwatomisin
fayemioluwatomisin fayemioluwatomisin
  • 25-03-2020

Answer:p=72

Step-by-step explanation:

P=k/q^2

When p=8 and q=9

8=k/9^2

8=k/81

Cross multiply

k=81×8

k=648

To determine p when q=3

P=648/9

P=72

Answer Link
afzbyjus
afzbyjus afzbyjus
  • 25-03-2020

Answer:

p = 72

Step-by-step explanation:

Given: p ∝ 1 / q^2

p = k / q^2    (w here k is a constant)

p x q^2 = k

When p = 8 and q = 9,

8 x (9)^2 = k

8 x 81 = k

k = 648

When q = 3,

p x (3)^2 = 648

p = 648 / 9

Therefore, p = 72

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