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Answer:
see explanation
Step-by-step explanation:
(1)
Given
3(x + 3)² - 1 = - 13 ( add 1 to both sides )
3(x + 3)² = - 12 ( divide both sides by 3 )
(x + 3)² = - 4 ( take the square root of both sides )
x + 3 = ± 
= ± 2i ( subtract 3 from both sides )
x = - 3 ± 2i ← complex conjugate roots
(2)
Given
3x² - 12x + 27 = 0 ( subtract 27 from both sides )
3x² - 12x = - 27 ( divide through by 3 )
x² - 4x = - 9
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 2)x + 4 = - 9 + 4
(x - 2)² = - 5 ( take the square root of both sides )
x - 2 = ± 
= ± i
( add 2 to both sides )
x = 2 ± i ← complex conjugate roots
Let's assume that you are to graph the inequality.
1. Graph -3x + 4y = 12. Note that the x-intercept is (-4,0) and the y-intercept is (0,3). Use a dashed line, not a solid line, due to the ">" sign.
2. Choose a test point (e. g., (0,1) ) and subst. these coordinates into -3x + 4y = 12. Is the equation then true or false? If true, shade the area (on one side of -3x + 4y = 12 or the other) in which the test point (0,1) lies. If false, shade the other side of -3x + 4y = 12.
Answer: Hello, There! your Answer is Below.
117 Inches
Step-by-step explanation:
An inch is a unit of length equal to exactly 2.54 centimeters. There are 12 inches in a foot, and 36 inches in a yard
A foot is a unit of length equal to exactly 12 inches or 0.3048 meters.
<em>Hope this helps you!!!</em>
<em>Have a great day!!!</em>
Answer:
3/4
Step-by-step explanation:
24-6=18--> role playing games
18/24=3/4
