Two complex numbers are given, where m, n, p, and q are real numbers.

m+ni
p+qi

For what relationship among m, n, p, and q, will be the product of these two complex numbers have only an imaginary part?

This is Algebra 2.

Answers

Answer 1

Answer:

Given complex numbers:

m+ni p+qi

Their product is:

(m + ni)(p + qi) = mp + npi + mqi + nqi² = mp - nq + (np + mq)i

In order to have only an imaginary part we need:

mp - nq = 0

or

mp = nq
Answer 2

Answer:

First we have to find product

[tex]\\ \sf\longmapsto (m+ni)(p+qi)[/tex]

[tex]\\ \sf\longmapsto m(p+qi)+ni(p+qi)[/tex]

[tex]\\ \sf\longmapsto mp+mqi+npi+nqi^2[/tex]

[tex]\\ \sf\longmapsto mp+mqi+nqi-nq[/tex]

[tex]\\ \sf\longmapsto mp-nq+(mq+nq)i[/tex]

We have to keep imaginary parts i.e Im(z)

[tex]\\ \sf\longmapsto mp-nq=0[/tex]

[tex]\\ \sf\longmapsto mp=nq[/tex]


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Answer:

C. Q was flipped over the y axis

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Hello!

Answer:

First, write 0.63 as 0.63/1

Then, multiply both numerator and denominator by 10 for every number after the decimal point.

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You
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chocolate, on average, did the factory make per day?

Answers

141 pounds of milk per day on average or 141.778

Answer:

Step-by-step explanation:

708.89 / 5

= 141.788 pounds.

Note: Enter your answer and show all the steps you use to solve this problem in the space provided.
(8×5)÷4×5
Show all steps.

Answers

Answer:

=50

Step-by-step explanation:

BODMAS

(8x5)-brackets

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40÷4-division

10x5-multiplication

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Answers

Answer:

13. -2

14. 0

15. 2

16. 0

Step-by-step explanation:

Since the function is originally f(x), you go to wherever the x value is and see what the y value is.

So...

f(2) means go to x = 2 and see that y = -2

13. -2
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15. 2
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Answers

(4k-9)(2k-2)

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(4k-9)(2k-2)

4k * 2k = 8k^2

4k * -2 = -8k

-9 * 2k = -18k

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Since we have like terms (-8k and -18k) put those together.

-8k + -18k = -26k.

Now you're going to want to put all of these together in an equation.

You want to order the numbers from the highest number of exponents (8k^2) to the lowest.

8k^2 - 26k + 18

So the correct answer is 8k^2 - 26k + 18.

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Answers

Answer:

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Answers

Answer:

RST = 20

Step-by-step explanation:

a ray that divides an angle into two equal angles is called an angle bisector.

So RSP = PST

3 x -2 = 9x - 26

6x = 24

x = 4

RST = 3x -2 + 9x -26 = 20

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Answer: answers on brainly are below the question

Step-by-step explanation:

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Answer:

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Step-by-step explanation:

1 1/3 x 1/3

4/3 x 1/3 = 4/9

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Answer:

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Step-by-step explanation:

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Step-by-step explanation:

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Answers

Answer:

A4=-37

Step-by-step explanation:

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Solve for n in the literal equation a(n − 5) + 6 = bn.

Answers

Answer:

(6-5a)/(b-a) = n

Step-by-step explanation:

a(n − 5) + 6 = bn

Distribute

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Subtract an from each side

an -5a+6 -an = bn-an

6-5a = bn-an

Factor out n

6-5a = n(b-a)

Divide each side by (b-a)

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Answer:

[tex]a(n - 5) + 6 = bn \\ an - 5a + 6 = bn \\ an - bn = 5a - 6 \\ n(a - b) = 5a - 6 \\ n = \frac{5a - 6}{a - b} \\ thank \: you[/tex]

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Step-by-step explanation:

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Answers

Answer:

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Step-by-step explanation:

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4-7/3-(-1)

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Best of Luck!

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Step-by-step explanation:

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44%
24
#4 J is between 1 and K. K is between J and L and it bisects JL. If KL = 14 and IL = 35,
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I
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Answers

Answer:

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Step-by-step explanation:

Since K bisects JL , then

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------------------------------------

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Please hurry

Answers

Hey there!

Just do PEMDAS to solve

Parentheses

Exponents

Multiplication

Division

Addition

Subtraction

8 + (7 - 1)^2 / 20 - 9 * 2

= 8 + 6^2/ 20 - 9 * 2

= 8 + 36/10 - 9 * 2

= 8 + 9/5 - 18

= 49/5 - 18

= - 41/5

Therefore, your answer is:

-41/5 ≈ 8 1/5 or 8.2

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

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Answers

Answer:

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Step-by-step explanation:

First let's get rid of the starting fee of $2

[tex]16.28 - 2 = 14.28[/tex]

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A relationship between two or more parameters that, when shown on a graph, produces a linear model. The degree of the variable will be one.

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https://brainly.com/question/11897796

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Answers

Answer:

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Step-by-step explanation:

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Answers

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Step-by-step explanation:

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Answer:

Step-by-step explanation:

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[tex]\large \mathfrak{Solution : }[/tex]

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Answers

Answer:

∡ CAE

Step-by-step explanation:

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