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2 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]2 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]2 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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Answer:

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Step-by-step explanation:

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3 years ago

Math help please? <3

Tomtit [17]

10m + 80 = P
where every month he gets 10, and for 6 months, he now has 60
plus the 80 he already has
so (10 * 6 ) + 80 = 140

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3 years ago

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What is the slope of the line

vfiekz [6]

Answer: 3

You can find slope by using the 'rise over run' method. Find 2 clear points and count the number of units between those points, across the x axis and up the y axis. You should have 3/1 (y/x) as your slope.

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2 years ago

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A couple needs $55,000 as a down payment for a home. If they invest the $40,000 they have at 4% compounded quarterly, how long w

slava [35]

Answer:

8 years

Step-by-step explanation:

Compound interest formula

$A(t)= A_0(1+\frac{r}{n})^{nt}$

A(t) is the final amount 55000

A_0= 40000, r= 4% = 0.04, for quarterly n=4

$55000=40000(1+\frac{0.04}{4})^{4t}$

divide both sides by 40000

$1375=(1+\frac{0.04}{4})^{4t}$

$1375=(1.01)^{4t}$

Take ln on both sides

$ln(1375)=4tln(1.01)$

divide both sides by ln(1.01)

$\frac{ln 1375}{ln 1.01}=4t$

Divide both sides by 4

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3 years ago

Help please with number 11

Jobisdone [24]

Answer:

Step-by-step explanation:

The triangles are not similar since triangle B has an angle (18 cm) that does not correspond to 10, unlike the other angles which you can get by multiplying 3/2.

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3 years ago

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