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Damm [24]
3 years ago
10

What is the basic principle in multiplication of complex numbers?

Mathematics
1 answer:
Naily [24]3 years ago
4 0
When dividing two complex numbers on rectangular form we multiply the numerator and denominator by the complex conjugate of the denominator, because this effectively turns the denominator into a real number and the numerator becomes a multiplication of two complex numbers, which we can simplify.
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Jessica, Lauren and Kimmie were paid a total of $120 for babysitting in a ratio of 2:3:5. How much less did Jessica make than Ki
Tju [1.3M]

Answer:

Jessica makes $36 less than Kimmie  

Step-by-step explanation:

Let

x -----> amount paid to Jessica

y  ----> amount paid to Lauren

z ----> amount paid to Kimmie

we know that

x+y+z=120 ------> equation A

\frac{x}{y}=\frac{2}{3}

x=\frac{2}{3}y -----> equation B

\frac{y}{z}=\frac{3}{5}

z=\frac{5}{3}y -----> equation C

substitute equation B and equation C in equation A and solve for y

\frac{2}{3}y+y+\frac{5}{3}y=120

\frac{10}{3}y=120

y=120(3)/10

y=36

<em>Find the value of x</em>

x=\frac{2}{3}(36)=24

<em>Find the value of z</em>

z=\frac{5}{3}(36)=60

therefore

The  amount paid to Jessica was $24

The amount paid to Lauren was $36

The amount paid to Kimmie was $60

To find out how much less Jessica did than Kimmie, subtract the amount paid to Jessica from the amount paid to Kimmie.

\$60-\$24=\$36

therefore

Jessica makes $36 less than Kimmie

7 0
3 years ago
I need help on this question so if u actually can answer it correctly and show how you got it that would be helpful thx
Sedaia [141]

\rm \looparrowright -  \frac{1}{4} (8 - 4 + 20x)

Subtract the numbers

\rm \looparrowright -  \frac{1}{4} (4+ 20x)

Factor out 4 from the expression

\rm \looparrowright   - \frac{1}{ \cancel4}  \times  \cancel4(1 + 5x)

\rm \looparrowright   - (1 + 5x)

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to -

\rm \looparrowright   - 1  -  5x

  • <em>Thus, Options A and F are correct!!~</em>
6 0
2 years ago
How do I fill this out? Im not sure how to?
prohojiy [21]

Answer:

z=-21

Step-by-step explanation: (9-3)/2=(6+z)/5

We move all terms to the left:

(9-3)/2-((6+z)/5)=0

We add all the numbers together, and all the variables

-((z+6)/5)+6/2=0

We add all the numbers together, and all the variables

-((z+6)/5)+3=0

We multiply all the terms by the denominator

-((z+6)+3*5)=0

We calculate terms in parentheses: -((z+6)+3*5), so:

(z+6)+3*5

We add all the numbers together, and all the variables

(z+6)+15

We get rid of parentheses

z+6+15

We add all the numbers together, and all the variables

z+21

Back to the equation:

-(z+21)

We get rid of parentheses

-z-21=0

We add all the numbers together, and all the variables

-1z-21=0

We move all terms containing z to the left, all other terms to the right

-z=21

z=21/-1

z=-21

5 0
2 years ago
Factor 2x^3+3x^2-23x-12, given that x+4 is a factor
Alex73 [517]
<span>(2x + 1) • (x - 3) • (x + 4)</span>
5 0
3 years ago
Read 2 more answers
Find the area of the figure.
sleet_krkn [62]

Answer:

17 units

Step-by-step explanation:

split the shape into several little ones that you have formulas for :)

6 0
2 years ago
Read 2 more answers
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