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3 years ago

Is the square of a complex number always a real number? Explain how, please I would like to finish this tonight.

Mathematics

2 answers:

Artemon [7]3 years ago

7 0

Answer:

The absolute square of a complex number is calculated by multiplying it by its complex conjugate. This give the magnitude squared of the complex number. The absolute square is Always Real. We will use complex exponentials all the time.

seraphim [82]3 years ago

7 0

Answer:

Step-by-step explanation:

I don't thing it is very often unless it is of the form

When you square that, you get a real number (5i)^2 = - 25

On the other hand when you have a binomial like

3 + 2i

and you square that, the result is still a complex number.

(3+2i)(3+2i) = 9 + 6i + 6i + 4i^2 = 5 + 12i

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The system of linear equations 5x+2y = 3 and x+y = -1 is graphed below.What is the solution to the system of equations?

Kazeer [188]

Answer:

Step-by-step explanation:

If the system of linear equations is graphed, then the solution is the intersection of lines.

Read it from the graph (look at the picture).

7 0

3 years ago

Please help me its about solving system by substitution

Andrew [12]

Answer:

(-3, 4)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Algebra I

Terms/Coefficients
Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

y = -x + 1

2x + 3y = 6

Step 2: Solve for x

Substitution

Substitute in y: 2x + 3(-x + 1) = 6
Distribute 3: 2x - 3x + 3 = 6
Combine like terms: -x + 3 = 6
Isolate x terms: -x = 3
Isolate x: x = -3

Step 3: Solve for y

Define equation: y = -x + 1
Substitute in x: y = -(-3) + 1
Simplify: y = 3 + 1
Add: y = 4

6 0

3 years ago

3x−2y=−2 6x−2y=10 solve by elimination

Anvisha [2.4K]

Answer:

x=4 y=7

Step-by-step explanation:

When multiplying 3x by -2, you get -6x. -6x and 6x cross out. You're left with -2y=-2 and -2y=10.

3 0

3 years ago

Simplify 3(8x+2y) A. 30x+y B. 24x+2y C. 24x+6y D. 30xy

Naddika [18.5K]

Answer:

The choose C. 24x+6y

Step-by-step explanation:

$3(8x + 2y) = 24x + 6y$

I hope I helped you^_^

4 0

3 years ago

The calibration of a scale is to be checked by weighing a 13 kg test specimen 25 times. Suppose that the results of different we

Natali5045456 [20]

Solution :

a).

Given : Number of times, n = 25

Sigma, σ = 0.200 kg

Weight, μ = 13 kg

Therefore the hypothesis should be tested are :

$H_0 : \mu = 13$

$H_a : \mu \neq 13$

b). When the value of $\overline x = 12.84$

Test statics :

$Z=\frac{(\overline x - \mu)}{\frac{\sigma}{\sqrt n}}$

$Z=\frac{(14.82-13)}{\frac{0.2}{\sqrt {25}}}$

$=\frac{1.82}{0.04}$

= 45.5

P-value = 2 x P(Z > 45.5)

= 2 x 1 -P (Z < 45.5) = 0

Reject the null hypothesis if P value < α = 0.01 level of significance.

So reject the null hypothesis.

Therefore, we conclude that the true mean measured weight differs from 13 kg.

3 0

3 years ago