Find 2 geometric means between 2 and 54​

54g2=r⇒54=rg2=r⋅2r2=2r3 . Now, 2r3=54⇒r3=27⇒r=3 . ∴g1=2r=2⋅3=6,g2=2⋅32=18 .May 15, 2018

Step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is