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Lady_Fox [76]
3 years ago
8

For the complex numbers z = 30 (cosine (StartFraction 2 pi Over 3 EndFraction) + I sine (StartFraction 2 pi Over 3 EndFraction)

) and w = 6 (cosine (StartFraction pi Over 8 EndFraction) + I sine (StartFraction pi Over 8 EndFraction) ) , which geometric transformation of z on the complex plane describes the quotient StartFraction z Over w EndFraction ?
Scale z by a factor of One-sixth, then rotate clockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of 6, then rotate clockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of One-sixth, then rotate counterclockwise by StartFraction pi Over 8 EndFraction radians.
Scale z by a factor of 6, then rotate counterclockwise by StartFraction pi Over 8 EndFraction radians.
Mathematics
2 answers:
dimulka [17.4K]3 years ago
5 0

Answer:

A. Scale z by a factor of 1/6, then rotate clockwise by pi/8 radians.

Step-by-step explanation:

EDGE 2020

scoundrel [369]3 years ago
3 0

Answer:

A

Step-by-step explanation:

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Y=5(x-2)(x+1) in standard form
Harrizon [31]
5(x²+x-2x-2)
5(x²-x-2)
5x²-5x-10 

you can also simplify to  x²-x-2. 
6 0
3 years ago
the maximum distance D in kilometers that you can see from a height H in meters is given by the formula d equals 3.5 times the s
Irina-Kira [14]
First put the words in an algebraic format or a model. D = 3.5(√H). Now determine what the question is asking. It's height. Plug in the value of D. Distance is 35 km.
35 = 3.5(√H) We want to get H by itself. First thing to get away from it is 3.5. So                      divide 35 by 3.5 And 3.5(√h) by 3.5.
10 = √H        To get rid of √ do the opposite raise to the power of 2
10² = (√H)²   
100 = H 
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7 0
3 years ago
Need help! much appreciated
Volgvan

Answer:

C-D = <u>6</u>

A-B = <u>3.25</u>

D = <u>118</u>

Step-by-step explanation:

C-D = 6 because the line is the same as B-C

A-B = 3.25 because the line is the same as A-D

D = 118 because the angle of B is vertically opposite to D

7 0
3 years ago
If you bought a stock last year for a price of $103, and it has risen 7% since then, how
Marrrta [24]

Answer:

the stock is worth $110.21

Step-by-step explanation:

The first thing you want to do is multiply 0.07 and 103, to find out what 7% of 103 is. When you multiply those two numbers you are going to get 7.21. You are then going to add 103 and 7.21 to find out how much it would be worth now.

7 0
3 years ago
Big Points
Llana [10]

Answer:

y = -5

Step-by-step explanation:

The coordinate point is in the format (x, y)

Therefore, the y-value of (4, -5) is -5

So the equation of the horizontal line is therefore y = -5

7 0
2 years ago
Read 2 more answers
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