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:
f = 
Step-by-step explanation:
Given
b = fjn ( isolate f by dividing both sides by jn )
= f
Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 66° when the bottom of the ladder is 16 ft from the side of the house
<em>Let 'C' be the point of observation.</em>
Given CA= 16 ft
<em> From right angle triangle</em>
<em> </em>

x = 16 × cos 66°
x = 16 × 0.4067
x = 6.5077
<em> x = 6.5 ft</em>
<em>The length of the ladder = 6.5 ft</em>
Answer:
<h3>Sample space</h3>
The _______ for a procedure consists of all possible simple events or all outcomes that cannot be broken down any further.