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aliya0001 [1]
3 years ago
9

Which of the following is a complex number? a. -7 b. 2+√3 c. 4+9i d. π

Mathematics
2 answers:
Feliz [49]3 years ago
3 0
Hello,

Answer C
=============

scoundrel [369]3 years ago
3 0

Answer: C. 4+9i

Step-by-step explanation:

A combination of a real and an imaginary number is called complex number.

Since, - 7 is the negative integer and an integer is always the real number only therefore it can not be the complex number,

2+√3 is the irrational number which is only a real number therefore,  it can not be the complex number,

In  number 4+9i, 4 is the real number and 9i is the imaginary number, Therefore it is a complex number,

π is the irrational number and an irrational number is always a real number therefore it can be the complex number.

Thus, Option C is correct.


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The table is attached as a figure

The given equation is ⇒⇒⇒⇒ y = 2x
To solve this equation, we need to pick numbers from the table then this number will be substituted into the equation to find y
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From the table, let us choose x = 0
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From the table, let choose third value of x such as x = -1
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So, the picked three solutions are
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y = -2  at  x = -1
y = 2 at  x = 1



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3 years ago
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kolbaska11 [484]

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We can express this as Lateral Surface Area LSA = (s1xh) + (s2xh) + (s3+h), where "s1, s2, s3" are the lengths of the sides of the triangle and "h" is the height of the prism.

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Phantasy [73]

Answer:

<h2>-23/13 - 2/13i</h2>

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\frac{5+4i}{-3-2i}\\\\\mathrm{Apply\:complex\:arithmetic\:rule}:\\\\\quad \frac{a+bi}{c+di}\:=\:\frac{\left(c-di\right)\left(a+bi\right)}{\left(c-di\right)\left(c+di\right)}\:=\:\frac{\left(ac+bd\right)+\left(bc-ad\right)i}{c^2+d^2}\\\\a=5,\:b=4,\:c=-3,\:d=-2\\\\=\frac{\left(5\left(-3\right)+4\left(-2\right)\right)+\left(4\left(-3\right)-5\left(-2\right)\right)i}{\left(-3\right)^2+\left(-2\right)^2}\\\\Refine\\=\frac{-23-2i}{13}\\\\

\mathrm{Rewrite\:}\frac{-23-2i}{13}\mathrm{\:in\:standard\:complex\:form:\:}-\frac{23}{13}-\frac{2}{13}i\\

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