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3 years ago

What is the basic principle in multiplication of complex numbers?

1 answer:

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

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

$\frac{10}{3}y=120$

$y=120(3)/10$

$y=36$

Find the value of x

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

Find the value of z

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

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 -

$\rm \looparrowright - 1 - 5x$

Thus, Options A and F are correct!!~

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