On the complex plane, the number 
is mapped onto the point with coordinates 
.
In other words, the x coordinate is the real part of the number, while the y coordinate is the complex part of the number.
Viceversa, if you start from a point 
, you can identify the number 
.
So, the endpoints of the diagonal are the points 
and 
. These are points A and C in the attached figure.
This means that points B and D have coordinates
So, the correspondant complex numbers are
Hello,
To solve, factour out the expression: <span>9a^4b^4-27a^3b^3+18a^3b^2.
Once factoured out you get the GCF 9a^(3)b^(2)
Faith xoxo</span>
The answer is B.$7.47.
Let's first calculate how much in total 75 shirts cost:
- first 19 (less than 20) cost $10: 19 * $10 = $190
- the next 30 cost $8: 30 * $8 = $240
- the rest (26 = 75 - 19 - 30) cost $5: 26 * $5 = $130
So, in total 75 shirts cost $560:
19 * $10 + 30 * $8 + 21 * $5 = $190 + $240 + $130 = $560
Since 75 shirts are ordered, there must be 75 employees, so each employee must pay $7.47:
$565 ÷ 75 = $7.47
The following solutions to the given system of inequalities shown above would be option c : (-3, -5) option d : (0, 4) option e. (4, 4) and option f. <span>(2, -1)
So how did I know the answer. To check this, you just have to substitute the values.
For example let us take option c (-3, -5)
y </span><span>< 3x + 5
-5 </span><span>< 3(-3) + 5
-5 </span><span>< -9 + 5
-5 </span><span>< -4 <<You see that -4 is greater than -5 which makes this inequality correct. This is the same process as with the other correct options.
Hope that this answer helps.</span>
Answer:
D. 10 square root 3 is your answer
Step-by-step explanation:
Here is what you do.
<em>square root 30 = 3 x 2 x 5 </em>
<em>square root 10 = 2 x 5</em>
Add them together.
<em>3 x 2 x 2 x 5 x 5 </em>
<em>3 x 4 x 25.</em>
4 and 25 can come out of the square root.
<em>2 x 5 = 10</em>
10 square root 3 is your answer.
