# If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

If f varies directly as g and inversely as the square of h, and f = 20 when g = 50 and h = 5, find f when g = 18 and h = 6.

## This Post Has 5 Comments

1. princessjsl22 says:

Step 1 : Write the correct equation. Combined variation problems are solved using a combination of variation equations. In this case, you will combine the direct and inverse variation equations, use f, g, and h instead of x, y, and z, and notice how the word “square” changes the equation.

Y = KX/Z --» F = KG/H^2.

Step 2 : Use the information given in the problem to find the value of k. In this case, you need to find k when f = 20, g = 50, and h = 5.

20 = K(50)/5^2.

20 = 2K.

10 = K.

Step 3 : Rewrite the equation from step 1 substituting in the value of k found in step 2.

F = 10G/H^2.

Step 4 : Use the equation found in step 3 and the remaining information given in the problem to answer the question asked. In this case, you need to find f when g = 18 and h = 6.

F = 10(18)/6^2.

Therefore , F = 5.

2. raweber says:

K IS %^&*(7685

3. Expert says:

answer:   x = 3 + √11     and     x = 3 - √11

step-by-step explanation:

x² - 6x + 9 = 11

(x - 3)² = 11

x - 3 = ±√11

x = 3 ± √11

x = 3 + √11     and     x = 3 - √11

4. jonesnr10 says:

5. Expert says: