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kakasveta [241]
3 years ago
7

The sum of a number and its additive inverse is equal to _____.

Mathematics
1 answer:
prohojiy [21]3 years ago
7 0
The sum of a number and its additive inverse is equal to zero. The correct option among all the options that are given in the question is the second option or option "b". If we assume "x" to be a real number, then its additive inverse is "-x". On adding these two, we can see that the result comes to zero. 
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(7 + 7i)(2 − 2i)
Ostrovityanka [42]

The complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

<h3>What is a complex number?</h3>

It is defined as the number which can be written as x+iy where x is the real number or real part of the complex number and y is the imaginary part of the complex number and i is the iota which is nothing but a square root of -1.

We have a complex number shown in the picture:

-7i(3 + 3i)

= -7i

In trigonometric form:

z = 7 (cos (90) + sin (90) i)

= 3 + 3i

z = 4.2426 (cos (45) + sin (45) i)

\rm 7\:\left(cos\:\left(90\right)\:+\:sin\:\left(90\right)\:i\right)4.2426\:\left(cos\:\left(45\right)\:+\:sin\:\left(45\right)\:i\right)

\rm =7\left(\cos \left(\dfrac{\pi }{2}\right)+\sin \left(\dfrac{\pi }{2}\right)i\right)\cdot \:4.2426\left(\cos \left(\dfrac{\pi }{4}\right)+\sin \left(\dfrac{\pi }{4}\right)i\right)

\rm 7\cdot \dfrac{21213}{5000}e^{i\dfrac{\pi }{2}}e^{i\dfrac{\pi }{4}}

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

=21-21i

After converting into the exponential form:

\rm =\dfrac{148491\left(-1\right)^{\dfrac{3}{4}}}{5000}

From part (b) and part (c) both results are the same.

Thus, the complex number  -7i into trigonometric form is 7 (cos (90) + sin (90) i) and  3 + 3i in trigonometric form is 4.2426 (cos (45) + sin (45) i)

Learn more about the complex number here:

brainly.com/question/10251853

#SPJ1

3 0
2 years ago
URGENT, please!!
lakkis [162]

The equation of the parabola is:

y = 24x^2

---------------------------

The <em>equation </em>of a parabola of vertex (h,k) and focus (0,f) is given by:

y = 4p(x - h)^2 + k^2

  • Vertex at the origin means that h = 0, k = 0.
  • Focus (0,6) means that p = 6

Thus, the equation of the parabola is:

y = 4p(x - h)^2 + k^2

y = 4(6)(x - 0)^2 + 0^2

y = 24x^2

A similar problem is given at brainly.com/question/15165354

7 0
3 years ago
A cereal manufacturer packages breakfast cereal in individual - sized boxes measuring 2 inches by 3 inches by 4 inches. The same
Ilia_Sergeevich [38]

Answer:

2.5

Step-by-step explanation:


3 0
3 years ago
HELP ASAP
galben [10]

I don’t have a very detailed explanation, however the answer should be “A 90-degree counterclockwise rotation about the origin followed by a translation 1 unit to the left”.

You can clearly see a 90° angle here, it’s obvious. Also, the polygon switch counterclockwise. so, you can see.

hope I helped ^^

3 0
3 years ago
Read 2 more answers
Solve the equation <br>8-2x=-8x+14
Marina86 [1]

8 - 2x = -8x + 14      <em>subtract 8 from both sides</em>

-2x = -8x + 6     <em>add 8x to both sides</em>

6x = 6     <em>divide both sides by 6</em>

<h3>x = 1</h3>
4 0
3 years ago
Read 2 more answers
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