Answer:
Step-by-step explanation:
Let's start with distributing: 
Simplify i with i in the second term, and rearrange.
. Since i in the denominator looks ugly, let's multiply top and bottom by i. 
. The middle passage is based on the fact that, by definition, 
Answer:
The square root of -9 cannot be -3 because -3 squared or -3 times -3 equals 9 not -9.
Hope this helps!
Answer:
x = 4 or x = 0.78
Step-by-step explanation:
9x² – 29x – 28 = 0
2 roots: x = ((-(-29) ± √(-29)² - 4 x 9 x (-28)) / (2 x 9)
= (29 ± √841 + 1008) / 18
= (29 ± 43) /18
x = 72 /18 = 4 or
x = -14 /18 = - 0.78
Answer:
D.
Step-by-step explanation:
First try to eliminate answers.
You have to work between 30 and 40 hours to get 1565.
It's not A or B.
Now, you can see that the choices are 31, and 35
1565 is only 15 more than 1550.
It's 31.
Answer: 128.86cm²
Step-by-step explanation:
The circle is inscribed in the rectangle. To find the shaded portion, subtract he area of the circle from the are of the rectangle.
Area of the rectangle = 11 x 12
= 132cm²
Area of the circle with radius of 1cm = πr²
= 3.142 x 1²
= 3.142cm²
Therefore , area of the shaded region = 132cm² - 3.142cm²
= 128.86cm²
