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: y = x - 6
Explanation:
It needs to have the same slope so that it parallel.
Answer:
The three-dimensional figure is an octagonal prism
Step-by-step explanation:
<u><em>Verify each case</em></u>
<em>case a)</em> square prism
The net is made of 2 squares and 4 (rectangles or squares)
<em>case b)</em> square pyramid
The net is made of 1 square and 4 triangles
<em>case c)</em> octagonal prism
The net is made of 2 octagons and 8 (squares or rectangles)
<em>case d)</em> octagonal pyramid
The net is made of 1 octagon and 8 triangles
therefore
The three-dimensional figure is an octagonal prism
This can be expressed as five m squared plus two.
