If y varies inversely as x, and y = 3 when x = 6, find x when y = 18.
k = x =

k = 18, x = 1

Step-by-step explanation:

Given that y varies inversely as x then the equation relating them is

y = ← k is the constant of variation

To find k use the condition y = 3 when x = 6, thus

k = yx = 3 × 6 = 18

y = ← equation of variation

When y = 18, then

18 = ( multiply both sides by x )

18x = 18 ( divide both sides by 18 )

x = 1

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

10.416 meters per second

step-by-step explanation:

distance=1 00 meters

time= 9.6 seconds in decimal form or 9 3/5 as a mixed number

average speed= 100/9.6

=10.416 meters per second or 10 52/125 as a mixed number.