Answer:
cos(pi/2) + i sin (pi/2)
Step-by-step explanation:
(1+i)/ (1-i)
Multiply top and bottom by (1+i)
(1+i) (1+i)/ (1-i)(1+i)
Foil the top (1+i)(1+i) = 1 +2i +i^2 = 1 +2i -1 = 2i
Foil the bottom ( 1+i)(1-i) = 1 - i^2 = 1 - (-1) =2
2i/2 = i
the magnitude is (0^2+1^2) = 1
The angle is tan^-1( 1/0) = pi/2
cos(pi/2) + i sin (pi/2)
Answer:
1) f=−8/7 2) z=−3/7
Step-by-step explanation:
1)-f+8=-8f
−f+8=−8f
Step 1: Add 8f to both sides.
−f+8+8f=−8f+8f
7f+8=0
Step 2: Subtract 8 from both sides.
7f+8−8=0−8
7f=−8
Step 3: Divide both sides by 7.
7f/7=−8/7
f=-8/7
2) 6z-5=-z-8
6z−5=−z−8
Step 1: Add z to both sides.
6z−5+z=−z−8+z
7z−5=−8
Step 2: Add 5 to both sides.
7z−5+5=−8+5
7z=−3
Step 3: Divide both sides by 7.
7z/7=−3/7
Answer:
a. 3
Step-by-step explanation:
We can get to know if a number is divisible by 3 if after adding all the digits of that number we get a number which is completely divisible by 3 or we can say the number appears in the table of 3.
For example: In the given number if we will add all the digits the we will get 21 and we all know that 21 is divisible by 3.
10,534,341 = 1 + 0 + 5 + 3 + 4 + 3 + 4 + 1 = 21
21 = 21/3 = 7
Other options are incorrect.
Divisibility rule for 2 : A number is said to be divisible by 2 if it's ones place ends in 0, 2, 4, 6 or 8 i.e. an even number. The given number does not satisfy this condition because it ends in 1 which is an odd number.
Divisibility rule for 9 : A number is said to be divisible by 9 if after adding all the digits of that number we get a number which is completely divisible by 9. Since the sum total of the given number is 21 which is not completely divisible by 9 we can easily infer that 9 is not the answer for this question.
No because
15b + 4 = 25.6
15b = 21.6
b = 1.44
0.6+15b+4 = 25.6
4.6 + 15b = 25.6
15b = 21
b = 1.4
The answers are not the same therefore they are not equivalent.
The linear equation is y = 4x - 4
And the graph of the linear equation can be seen in the image below.
<h3>
How to graph the last line?</h3>
It seems that you already are good at graphing, so I will try to explain how to find the equation more in detail.
Remember that a general linear equation is written as:
y = a*x + b
Where a is the slope and b is the y-intercept.
In this case, we know that the y-intercept is -4, then b = -4, replacing that we get:
y = a*x - 4
Now we also can see that this line passes through the point (2, 4), this means that if we evaluate in x = 2, the outcome should be y = 4, replacing that we get:
4 = a*2 - 4
4 + 4 = a*2
8 = a*2
8/2 = a = 4
Then the slope is 4, and the linear equation is:
y = 4x - 4
The graph is below.
If you want to learn more about linear functions:
brainly.com/question/4025726
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