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Over [174]
2 years ago
7

What is the answer to this? i can’t figure it out.

Mathematics
1 answer:
Svetach [21]2 years ago
8 0

9514 1404 393

Answer:

  25 +0i

Step-by-step explanation:

The conjugate of a complex number is that number with the sign of the imaginary part reversed.

For z = -3+4i, its conjugate z* is -3-4i. The product of z and z* is ...

  (-3 +4i)(-3 -4i) = -3(-3 -4i) +4i(-3 -4i)

  = 9 +12i -12i -16i² = 9 +16 = 25

The real part of the product is 25; the imaginary part is 0.

  (-3 +4i)(-3 -4i) = 25 +0i

_____

You may have noticed that (z)(z*) = |z|², the sum of the squares of the real and imaginary parts. It is always a non-negative real number.

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determine if the ordered pair is a solution of the equation is (2 4) a solution of y = -3× - 2? true or false​
vesna_86 [32]

Answer:

False

Step-by-step explanation:

y = -3× - 2

4 = -3(2) - 2

4 = -6 - 2

4 = -8

4 0
3 years ago
How do you solve this? My algebra 2 teacher taught it to us in class but it still confuses me! Thank you!
nataly862011 [7]

\bf \cfrac{\frac{1}{8}-\frac{1}{2x}}{\frac{1}{12x}-\frac{1}{3x^2}} \begin{array}{llll} \leftarrow \textit{our LCD here will just be }8x\\[0.9em] \leftarrow \textit{our LCD down here will be }12x^2 \end{array}

\bf \cfrac{~~\frac{(x)1-(4)1}{8x}~~}{\frac{(x)1-(4)1}{12x^2}}\implies \cfrac{~~\frac{x-4}{8x}~~}{\frac{x-4}{12x^2}}\implies \cfrac{~~\begin{matrix} x-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }{\underset{2}{~~\begin{matrix} 8x \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}\cdot \cfrac{\stackrel{3x}{~~\begin{matrix} 12x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~}}{~~\begin{matrix} x-4 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~ }\implies \cfrac{3x}{2}

8 0
3 years ago
The sum of eight times a number and negative exceeds twelve.<br>​
11111nata11111 [884]

Answer:8x + -4 > 12

8x > 16

x > 2

Step-by-step explanation:

6 0
2 years ago
What is the measure of &lt; DBC
notsponge [240]

Answer:

∠D B C = 41°

Step-by-step explanation:

<u><em>Step(i)</em></u>:-

Given ∠ABC = 90°

 In diagram ∠D B C + ∠A B D = 90°

                       6 x+5 + 8 x +1 = 90

                       14 x + 6 = 90

                      14 x = 90 -6

                      14 x = 84

                    <em>     x = 6</em>

<u><em>Step(ii):-</em></u>

∠D B C = 6 x + 5 = 6 (6) +5 = 36 +5 = 41

<em>∠D B C = 41°</em>

<em>  ∠A B D = 8(6) +1  = 49°</em>

<em>∠D B C + ∠A B D =  41° + 49° = 90°</em>

3 0
2 years ago
Read 2 more answers
Is this Biased or Unbiased and Explain? ( Q:Are you willing to deal with noisy,heavy increases in traffic where you live just so
sleet_krkn [62]

Answer:

It is biased.

Step-by-step explanation:

Some individuals may prefer to have noisy, heavy increases in traffic where the individual lives because of the mall. If the individual likes it or not is subjective.

6 0
3 years ago
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