Solve by taking the square root of both sides. 3 (x +3)^2 – 81 = 0
a. X = -3 -3 sqrt 3 or -3 + 3 sqrt 3c. 3 sqrt 3 or 3 + 3 sqrt 3
b. X = -3 -6 sqrt 3 or -3 + 6 sqrt 3 d. 3 sqrt 3 or -3 + 3 sqrt 3

a

Step-by-step explanation:

Given

3(x + 3)² - 81 = 0 ( add 81 to both sides )

3(x + 3)² = 81 ( divide both sides by 3 )

(x + 3)² = 27 ( take the square root of both sides )

x + 3 = ± = ± 3 ( subtract 3 from both sides )

x = - 3 ± 3

x = - 3 - 3 or x = - 3 + 3 → a

yeah and the opposite of cheating is studying ( you should try it some time)

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