1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Flura [38]
2 years ago
12

Consider the complex number on the complex plane and the complex number z2 = 6 – 3i.

Mathematics
2 answers:
elena-14-01-66 [18.8K]2 years ago
8 0

Answer:

See below

Step-by-step explanation:

So, on the complex plane, we see that z_1=2+1i

Therefore, z_1+z_2=(2+1i)+(6-3i)=8-2i

Since we added the complex numbers, we can see that the real part of z_1+z_2 is 8 and the imaginary part of z_1+z_2 is -2. Remember that complex numbers are written in the form of a+bi, so either the real or imaginary part can both be negative.

drek231 [11]2 years ago
4 0

Answer:

When z1 and z2 are added together, the result moves z1 6 units RIGHT and 3 units DOWN. The real part of z1+z2 is

8.

The imaginary part of z1 +z2 is

-2i.

Step-by-step explanation:

Got right on Edge :)

You might be interested in
In the standard Normal distribution, which z-score represents the 99th percentile?
nydimaria [60]

The Z- score representing the 99th percentile is given by 2.33

Problems of commonly distributed samples can be solved using the z-score formula.

For a set with a standard deviation, the z-score scale X is provided by:

Z = ( x- mean )/ standard deviation

Z-score measures how many standard deviations are derived from the description. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the scale is less than X, that is, the X percentage. Subtract 1 with p-value, we get the chance that the average value is greater than X.

To Find the z-result corresponding to P99, 99 percent of the normal distribution curve.

This is the Z value where X has a p-value of 0.99. This is between 2.32 and 2.33, so the answer is Z = 2.33

For more information regarding normal distribution, visit brainly.com/question/12691636

#SPJ10

3 0
2 years ago
What are the intercepts of the line?
ziro4ka [17]
A. x intercept is -8 ; y intercept is 4
8 0
3 years ago
Read 2 more answers
Find the radius of the circle with equation x²+y²+8x+8y+28=0
galina1969 [7]
<h2>Hello!</h2>

The answer is:

Center: (-4,-4)

Radius: 2 units.

<h2>Why?</h2>

To solve the problem, using the given formula of a circle, we need to find its standard equation form which is equal to:

(x-h)^{2}+(y-k)^{2}=r^{2}

Where:

"h" and "k" are the coordinates of the center of the circle and "r" is its radius.

So, we need to complete the square for both variable "x" and "y".

The given equation is:

x^{2}+y^{2}+8x+8y+28=0

So, solving we have:

x^{2}+y^{2}+8x+8y=-28

(x^2+8x+(\frac{8}{2})^{2})+(y^2+8y+(\frac{8}{2})^{2})=-28+((\frac{8}{2})^{2})++(\frac{8}{2})^{2})\\\\(x^2+8x+16 )+(y^2+8y+16)=-28+16+16\\\\(x^2+4)+(y^2+4)=4

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

Now, we have that:

h=-4\\k=-4\\r=\sqrt{4}=2

So,

Center: (-4,-4)

Radius: 2 units.

Have a nice day!

Note: I have attached a picture for better understanding.

3 0
3 years ago
Pls help (links will get reported)
joja [24]

Answer:

-938 ft

Step-by-step explanation:

the bird will be going down in elevation. the distance between -422 and -1360

-1360+422= -938

3 0
3 years ago
How many electrons get given when elements combine
klio [65]

Answer:

When two atoms have shared electrons, it is not distinguishable from what atom they are because they are shared in the same orbit, it is called a covalent bond.

Step-by-step explanation:

Atoms in a covalent bond share one or more electrons in the last of their orbitals, the number of electrons in the last orbital will depend on the element in question.

7 0
2 years ago
Read 2 more answers
Other questions:
  • Engineers must consider the breadths of male heads when designing helmets. The company researchers have determined that the popu
    8·1 answer
  • Write the function in vertex form. y=-x^2-8x-9
    15·1 answer
  • The data set shows the admission prices at several museums. $20, $20, $16, $12, $15, $25, $11 Find and interpret the range, inte
    14·1 answer
  • The difference of a number and -6 is less than 9
    15·2 answers
  • If a and b are positive numbers, find the maximum value of f(x)=xa(1−x)b, 0≤x≤1 Your answer may depend on a and b.maximum value
    12·1 answer
  • How many times can you round 72,586
    14·2 answers
  • Assume that power surges occur as a Poisson process with rate 3 per hour. These events cause damage to a computer, thus a specia
    8·1 answer
  • Solve the inequality. 4x – 7 &lt; 5
    6·2 answers
  • The first equation from the previous system of
    13·1 answer
  • Priya has 5 pencils, each x inches in length. When she lines up the pencils end to end, they measure 34.5 inches. Select all the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!