F varies inversely as the square of d. When d=2, f = 6. Find d when f is 1.5

d = 4

Step-by-step explanation:

Given f varies inversely as d² then the equation relating them is

f = ← k is the constant of variation

To find k use the condition when d = 2, f = 6 , then

6 = = ( multiply both sides by 4 )

24 = k

f = ← equation of variation

When f = 1.5 , then

1.5 = ( multiply both sides by d² )

1.5d² = 24 ( divide both sides by 1.5 )

d² = 16 ( take the square root of both sides )

d = = 4

step-by-step explanation:

first, eliminate the parenthesis:

3

x

+

2

−

4

x

second, group like terms:

3

x

−

4

x

+

2

third, combine like terms:

(

3

−

4

)

x

+

2

→

−

1

x

+

2

→

−

x

+

2

answer are

step-by-step explanation: