Answer:
Step-by-step explanation:
If a complex number is z=a+ib, then the trigonometric form of complex number is
where, 
and 
, 
is called the argument of z, 
.
The given complex number is -5i.
It can be rewritten as
Here, a=0 and b=-5. lies in 4th quadrant.
![[\because \text{In 4th quadrant }\theta=2\pi-\theta]](https://tex.z-dn.net/?f=%5B%5Cbecause%20%5Ctext%7BIn%204th%20quadrant%20%7D%5Ctheta%3D2%5Cpi-%5Ctheta%5D)
So, the trigonometric form is
A two-digit number is twice the sum of its digit. If the tens digit is 7 less than the unit digit, find the number.
Let x= the unit digit
Then y= the tens digit
<span>And 10y+x= the number
</span>x+y= the sum of the digits
<span>Now we are told that 10y+x=2(x+y) ------1st equation </span>
<span>We are also told that y=x-7 ----------- 2nd Equation </span>
<span>So our equations to solve are: </span>
(1) 10y+x=2(x+y)
<span>(2) y=x-7
</span>
Hope it helps
Answer:
H > 2.5
Step-by-step explanation:
Greater = >
Lessthan = <
Equal = =
Hello.
The Manager has concluded that 2 out of 25 light bulbs are faulty.The table he created represents the ratio of bulbs checked and which ones were found faulty.
A way that he could verify that the table is correct is by simplifying each ratio. If each of them turn out to 2:25, then the conclusion is correct.
The best answer that matches this is answer choice "C.)" as it also defines our method of verifying the table's validity (just the order of the ratio is reversed, and that's fine as long as the variables are matching as well). We can further prove that this answer is correct by making ratios of our table and simplifying them;
100:8; divide both sides by 4.
25:2
500:40; divide both sides by 20.
25:2
2,000:160; divide both sides by 80.
25:2
This ratio is always the simplified answer.
Your answer is: "C.)"
I hope this helps!
Step-by-step explanation:
ax2 + bx + c = 0
x12 = (-b ± √D) / 2a , D = b2 - 4ac .
5x2 + 7x + 3 = 0
a = 5 , b = 7 , c = 3
D = 49 - 60 = - 11 , x1 = (-7 - i √11) / 10
x2 = (-7 + i √11) / 10
