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
Answer:
B
Step-by-step explanation:
18 x 2 = 36
20 x 2 = 40
36 + 40 = 76 miles
Answer: 71 degrees.
Step-by-step explanation:
Due to the triangle being isosceles (Two sides are equal), we can assume that the angles will also be equal.
You can take 180 (The total of a triangle) and subtract by the known degree
180 - 38 = 142
Now we divide 142 by two, ONLY because this is case; both angles will be the same degree.
142 / 2 = 71
Therefore; x = 71
Answer:
x = 10
Step-by-step explanation:
45x - 15x = 300
Combine like terms
30x = 300
Divide each side by 30
30x/30 = 300/30
x = 10
