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wolverine [178]
3 years ago
7

Which property of addition is shown below? If x = 1 + 2i and y = –1 – 2i, then x + y = 0

Mathematics
1 answer:
mel-nik [20]3 years ago
7 0

Answer:

Additive inverse property is satisfied in the given question

Explanation:

We have been given with two complex numbers  x=1+2i and  y= -1 -2i

we can clearly see that y is additive inverse of x

Since, additive inverse of the complex number is -(a+ib)

Where a and b are real numbers

Here in given numbers a=1 and b=2i

sum of number and its additive inverse is zero.


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Select the correct answer.
valentinak56 [21]

A

see attached for explanation

I hope it helps

7 0
3 years ago
<img src="https://tex.z-dn.net/?f=108cm%20%7B%3F%7D%5E%7B2%7D%20" id="TexFormula1" title="108cm {?}^{2} " alt="108cm {?}^{2} " a
scoundrel [369]
A(base)=6*6=36
A( triangle)=1/2*(base of the triangle)*height( of the triangle)=1/2*6*4=12
one base +4 triangles=36+4*12=36+48 =84 cm²
8 0
3 years ago
A stock has had returns of 7 percent, 25 percent, 17 percent, −13 percent, 25 percent, and −6 percent over the last six years. W
Tems11 [23]

Answer: Geometric average return would be 0.10% and arithmetic average return would be 9.17%.

Step-by-step explanation:

Since we have given that

Returns are as follows:

7%, 25%, 175, -13%, 25% and -6%.

Geometric return is given by

\sqrt[6]{(1+0.07)(1+0.25)(1+0.17)(1-0.13)(1+0.25)(1-0.06)}-1\\\\=\sqrt[6]{(1.17)(1.25)(1.17)(0.87)(1.25)(0.94)}-1\\\\=0.097\%=0.10\%

Arithmetic average return would be

\dfrac{7+25+17-13+25-6}{6}=9.17\%

Hence, geometric average return would be 0.10% and arithmetic average return would be 9.17%.

7 0
3 years ago
Consider a convex hexagon in which all pairs of opposite sides are parallel. Prove that if one pair of opposite sides have equal
hjlf

A pair of the opposite sides of a hexagon has equal length and this is proved below.

<h3>How to illustrate the hexagon?</h3>

It should be noted that a hexagon is a polygon that has six sides.

In this case, it has 6 sides.

The total angles will be:

= (n - 2) × 180

= (6 - 2) × 180

= 720°

Each angle will hence be:

= 720°/6

= 120°

Each angle are equal and this illustrates that the parallel sides are equal.

A diagram is attached to illustrate the pair of parallel sides.

Learn more about hexagon on:

brainly.com/question/1615720

#SPJ1

6 0
2 years ago
Help me with this plz
Sergio [31]

Answer:

C) Similar-SAS

Step-by-step explanation:

Here,

BSE ~ TES

Now,

BS = TE (:• being corresponding side )

BSE = TES (:• Being Corresponding angle

SE = SE (:•Being corresponding side)

Therefore,

the given triangle is similar by

SAS axiom

6 0
3 years ago
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