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Radda [10]
3 years ago
15

Match each description when z = 9 + 3i. 1. Real part of z, 3 2. Imaginary part of z, 9 - 3i 3. Complex conjugate of z, 3i 4. 3i

- z -3i 5. Z - 9, -9 6. 9 - z, 9
Mathematics
1 answer:
Andreyy893 years ago
5 0

Answer:

see below

Step-by-step explanation:

z = 9 + 3i

This is in the form a+bi   where a is the real part and b is the imaginary part

1.The real part is 9

2. The imaginary part is 3

The complex conjugate is a-bi

3. complex conjugate 9-3i

4. 3i - z = 3i - (9+3i) = 3i -9 - 3i = -9

5. z-9 = 9+3i - 9 = 3i

6.  9-z = 9- (9+3i) = 9-9-3i = -3i

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D-75 DIVIDE by 8 =2 <br> sovle step by step eqation
Kobotan [32]

Answer:

7.3

Step-by-step explanation:

D-75÷8=2

P.E.M.D.A.S

parenthesis, exponents, multiplication, division, addition, subtraction

Which on comes first would be

Division

75÷8= 9.3-D=2

9.3

-2.0

-----

7.3

So, D would equal 7.3.

7 0
3 years ago
Find the amount in an account if $45,050 is invested at 7.001% compounded quarterly, for 12 years and 3 months.
Korolek [52]
A=P(1+ \frac{r}{n})^{tr}
a=future amount
p=present amount
r=rate in decimal
n=number off time per year compouonded
t=time in years

P=45,050
r=0.07001
n=4
t=1.25

A=45,050(1+ \frac{0.07001}{4})^{(1.25)(4)}
A=45,050(1+ 0.0175025)^{5}
A=45,050(1.0175025)^{5}
A=49132.8798
round
A=$49,132.88
4 0
3 years ago
Write an equation for a polynomial with all the following features a. The degree is 5 b. The polynomial has 4 terms c. The graph
ladessa [460]

Answer:

f(x) = ax^5 + bx^3 + cx^2 + 12.

Step-by-step explanation:

the degree is 5 so we will have a term like:

ax^5

it crosses the vertical axis at y = 12 so we will have a constant term equal to 12

the polynomial has 4 terms, and we already have two so we can make up two more but the exponent must be between 1 and 4

f(x) = ax^5 + bx^3 + cx^2 + 12.

it has 4 terms, f(0) = 12, then it intersects the y-axis at y = 12, and the maximum exponent is 5, then the degree of f(x) is 5

8 0
3 years ago
Maths question please help !! thank u :)​
nikdorinn [45]

Answer:

1350m

Step-by-step explanation:

Let the distance ran by Denise, Farah and Elaine be D, F and E meters respectively.

From the given information,

D= ⅔(E +F) -----(1)

E= ½(D +F) -----(2)

Let's get rid of the fraction so the equations are much easier to work with.

From (1):

3D= 2(E +F) <em>(Multiply both sides by 3)</em>

3D= 2E +2F -----(3) <em>(</em><em>Expand</em><em>)</em>

From (2):

2E= D +F -----(4)

Substitute (4) into (3):

3D= D +F +2F

3D -D= 3F

2D= 3F

Given that Farah ran 360m, F= 360.

2D= 3(360)

2D= 1080

D= 1080 ÷2

D= 540

2E= D +F

2E= 540 +360

2E= 900

E= 900 ÷2

E= 450

Total distance the 3 girls ran

= D +F +E

= 540 +360 +450

= 1350m

Alternatively, you could start by substituting F= 360 to equations (1) and (2).

6 0
3 years ago
Select the graph that would represent the best presentation of the solution set.
inn [45]

Answer:

[-2,8]

Step-by-step explanation:

4 0
4 years ago
Read 2 more answers
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