If a=0 and b≠0, where will the graph of the complex number a+bi always lie?

Answers

Answer 1

Answer:

On the horizontal axis

Step-by-step explanation:

The complex number is represented by the complex plane or z-plane which is the representation geometrically of the real (number) axis and the imaginary (number) axis

When plotting complex numbers, the real part of the complex number is always plotted on the horizontal axis while the imaginary part is plotted on the vertical axis

The complex plane concept facilitates the description of complex numbers geometrically.


Related Questions

zfgffdhzgdfghdhuifhdSUGhdioghfiSGjDIHjtihgjDPIddh

Answers

Answer: :P

adjfdfdjskfabdklnfkbsb;dowafdsbkcbsnbw;abbu;rgsdj;sk

answer: d
dheuebrbjfjfnrjrt

Can you find the cube
root of a negative number if so I’d it positive or negative

Answers

Step-by-step explanation:

Yes. The cube root of a negative number will be negative.

For example, (-2)^3 = -8. The cube root of -8 is -2.

Answer:

Yes, it would be negative

Step-by-step explanation:

Yes, the cube root of a negative number can be found without using imaginary numbers to represent it.

The cube of a number is that number multiplied by itself 3 times so:

a^3 = a*a*a

if "a" is negative then the cube of "a" will be negative. Hence the cube root of a negative number will be negative.

Many states assess the skills of their students in various grades. One program that is available for this purpose is the National Assessment of Educational Progress (NAEP). One of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In a recent year, the national mean score was 289 and the standard deviation was 37. Assume that these scores are approximately Normally distributed, N(289, 37). How high a score is needed to be in the top 25% of students who take this exam (use technology)?

Answers

Answer:

A score of 314 is needed to be in the top 25% of students who take this exam.

Step-by-step explanation:

We are given that one of the tests provided by the NAEP assesses the reading skills of twelfth-grade students. In recent years, the national mean score was 289 and the standard deviation was 37.

Let X = scores of the tests provided by the NAEP

The z-score probability distribution for the normal distribution is given by;

                           Z  =  [tex]\frac{X-\mu}{\sigma}[/tex]  ~ N(0,1)

where, [tex]\mu[/tex] = national mean score = 289

           [tex]\sigma[/tex] = standard deviation = 37

Now, we have to find how high a score is needed to be in the top 25% of students who take this exam, that means;

            P(X > x) = 0.25     {where x is the required score}

            P( [tex]\frac{X-\mu}{\sigma}[/tex] > [tex]\frac{x-289}{37}[/tex] ) = 0.25

            P(Z > [tex]\frac{x-289}{37}[/tex] ) = 0.25

In the z table, the critial value of z that represents the top 25% of the area is given as 0.6745, that is;

                        [tex]\frac{x-289}{37}=0.6745[/tex]

                        [tex]{x-289}=0.6745\times 37[/tex]

                        x = 289 + 24.96 = 313.96 ≈ 314

Hence, a score of 314 is needed to be in the top 25% of students who take this exam.

How does the graph change from point G to point K?

Answers

Answer: D

Step-by-step explanation: sub to my yt clizey

Answer:

(D)

Step-by-step explanation:

What value of g makes the equation true? –11 –3 3 11

Answers

Answer:

3

Step-by-step explanation:

(x + 7)(x - 4)

= x · x + x · (-4) + 7 · x + 7 · (-4)

= x² - 4x + 7x - 28

= x² + 3x - 28

Hence, g = 3.

Answer:

C. 3

Step-by-step explanation:

Got it right on edge

A discounted amusement park ticket costs $12.95 less than the original price p. The discounted price is $44 what would be the equation: blank= 44

Answers

Answer:

29

Step-by-step explanation:

showing what equal it is to it

What are the x-intercepts of the graph of the function f(x) = x^2 + 4x – 12?
(-6,0). (2.0)
(2. -16). (0, -12)
(-6.0), (2, -16), (2, 0)
(0.-12).(-6, 0), (2, 0)​

Answers

Answer:

(- 6, 0 ) , (2, 0 )

Step-by-step explanation:

To find the x- intercepts let f(x) = 0, that is

x² + 4x - 12 = 0 ← in standard form

(x + 6)(x - 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 6 = 0 ⇒ x = - 6

x - 2 = 0 ⇒ x = 2

Thus the x- intercepts are (- 6, 0 ), (2, 0 )

Which functions are the same as their inverse functions

Answers

Answer:

we need to so the functions

Step-by-step explanation:

when you are adding 5+2 what do you get?

Answers

Answer:7

Step-by-step explanation:

5+2=7

Dan rolls 2 fair dice and adds the results from each. Work out the probability of getting a total more than 3.

Answers

Answer:

1/2, or 50%

Step-by-step explanation:

1 Dice has 6 possible outcomes, rolled twice equal 12 "different" outcomes, since there are 3 numbers that are 3 or below, and 3 numbers about 3, then the change of getting a number above three is 1 in 2.

I keep forgeting this. would someone remind what is 1/2 is in decimal form please?

Answers

it’s 0.5 in decimal form.

Answer:

.5

Step-by-step explanation:

Hope this helps.

8 x 105 is how many times as great as 8 x 10-1?
A. 10-4
B.10- -6
C. 10-6
D. 10 - -4

Answers

Answer:

1050 times larger

Step-by-step explanation:

simply multiply two expression and divide the first by the the second

(8×105)/(8×10^-1)= 1050

Draw a figure that could be named ZLMN.

Answers

Answer:

hope this is the correct figure for your question

when the whole p is divided by 18 ,24or30 the remainder is 3. Find the least value of p​

Answers

Answer:

p=363

Step-by-step explanation:

First we take L.C.M(18,24,30)

=>L.C.M=360

=>now add 3 to 360=360+3=363

=>p=363

need answers asap (-0.5)(-1.2)(-5.222)

Answers

Answer:

-3.1332

Step-by-step explanation:

-0.5x-1.2=0.6

0.6x5.222=-3.1332

(01.01 MC)Why is 1 + (−5) equal to −4? I NEED HELP ASAPPPP

Answers

Answer:

Hey there!

1+(-5)=1-5

1-5 = -4

Let me know if this helps :)

The person who answered it is correct:)

What is 159 x 7 = ?

Answers

Answer:

the answer is 1,113 my friend

Answer:

the answer is 1,113

Step-by-step explanation:

you just multiply 159 times 7 and it gives you 1,113

by which when 625 is divided , will make the quotient a perfect cube​

Answers

Answer:

[tex]\boxed{\bold{\huge{\boxed{5}}}}[/tex]

Step-by-step explanation:

625 when divided by 5 gives 125 which is a perfect cube.

=> [tex]\sf \frac{625 }{5 } = 125[/tex]

[tex]\rule[225]{225}{2}[/tex]

[tex]\sf \ \sqrt[3]{125} = 5[/tex]

So, 5 needs to be divided by 625 to make the quotient a perfect cube!

what is the value of the product {3-2i][3+2i}

Answers

(3-2i)(3+2i)
=9+6i-6i-4i^2
i^2=-1
=9-4(-1)
=9+4
=13

Hope this can help.

Answer:

13

Step-by-step explanation:

Step 1: Write out expression

(3 - 2i)(3 + 2i)

Step 2: FOIL

F - 9

O - 6i

I - -6i

L - -4i²

Step 3: Combine

9 + 6i - 6i - 4i²

Step 4: Combine like terms

9 - 4i²

Step 5: Simplify

i² = -1

9 - 4(-1)

9 + 4

13

Order number from least to greatest 25, 3.7, 1 2 , -4, -9 4

Answers

-4,-9,1,2,3.7,4,25 that's least to greates i think

On a number line, suppose the coordinate of A is 0, and AR = 6. What are the possible coordinates of the midpoint of AR?
The possible coordinates for midpoints of the segment are
?

Answers

Answer:

The possible coordinates of the midpoint are 3 and -3

Step-by-step explanation:

The given information are;

The coordinate of the point A on a (horizontal) number line = 0

The length of AR =

The coordinate of the midpoint of AR are given as follows;

Coordinate of the midpoint = Coordinate of A ± (Length of AR)/2 which gives;

The possible coordinates of the midpoint as 0 + 6/2 = 3 or 0 - 6/2 = -3

The possible coordinates of the midpoint are 3 and -3

.-4(8 -c) - (3c + 7)

Answers

Answer:

c-39 is the answer

Step-by-step explanation:

multiply the numbers that are in bracket

-4(8-c)-(3c+7)

the answer will be this

-32+4c-3c-7

ARRANGE IN LIKE TERM

-32-7+4c-3c

c-39 is the answer

Hope it is helpful for you

follow me and mark me as a brainest

Aiden had saved $22 before he earned $25 mowing a lawn . He then spent $32 on a suitcase . How much money does he have now? Explain how you found your answer

Answers

Answer:

$15

Step-by-step explanation:

22+25=47

47-32=15

So Aiden has $15.

a door with width 4.20 m has an arc as shown in diagram .Find: a) radius of the arc B) length of the arc to the nearest cm

Answers

Answer:

Ok, we know that the width of the door is 4.20m.

Then, if the arc is at the top of the door, we will have that the diameter of that "half circle" will be equal to the width of the door.

Then the diameter of the arc is 4.20m

And the radius is defined as half of the diameter, so we have:

radius = 4.20m/2 = 2.10m

And we can write this in cm (because the probelm ask for it)

1m = 100cm

then 2.10m = 2.1*100cm = 210cm

Now, we know that the perimeter of a circle is:

P = 2*pi*r

where pi = 3.14

Then the perimeter (or arc) of half a circle will be half of that:

Arc = (2*pi*r)/2 = pi*r

and r = 210cm, pi = 3.14

Arc = 3.14*210cm = 659.4cm

3 lines are shown. A line with points A, F, D intersects a line with points B, F, E at point F. A line extends from point F to point C in between angle B F D. Which angle is a vertical angle with AngleEFD? AngleDFB AngleCED AngleBFC AngleAFB

Answers

Answer:

AngleAFB

Step-by-step explanation:

We know that vertical angles are angles that opposite each other when two lines intersect. They share a common point or vertex.

In the question, the angle opposite to angle EFD is angle AFB. This is because they share a common vertex.

Since they share a common vertex and are opposite to each other, angle AFB is the angle vertical to angle EFD.

So, the angle vertical to angle EFD is angle AFB.  

Answer:

angle afb

Step-by-step explanation:

took edge test

(b) If you put $9050 in the ATM each day, what percent of the days in a month should

you expect to run out of cash?

Answers

Answer:

23.33%

Step-by-step explanation:

The computation of the percentage of days in a month for running out of cash is shown below:

Percentage of running out of Cash is

= (Relevant Occurrence  of an event ÷  Total number of events) × 100%

where,

The Relevant occurrence of an event is 7 (105,94,101,98,94,96,92)

And, the total number of events is 30 i.e. 30 days

So, the percentage is

= 7 ÷ 30 × 100

= 23.33%

Simplify this numerical expression: 17 - 5 · 2 + 3

Answers

Answer:

10

Step-by-step explanation:

17 -5 times 2 + 3

Step 1:

17 - 10 + 3

Step 2:

7 + 3

Step 3:

10

Answer:

10

Step-by-step explanation:

Equation:

17 - 5 times 2 + 3

First Step:

Multiplying is first in the order of operations so

17 - 10 + 3

Second Step:

Then adding and subtracting are the same so you do the equation left to right

7 + 3

Answer:

Then you just add it

10

given: ∠ABD ≅ ∠BDE
prove: ∠CBD ≅ ∠CDB

__ __
BD≅BD - Reflexive Property
why is ∠CBD ≅ ∠CDB?​

Answers

Answer:

See Explanation

Step-by-step explanation:

∠ABD ≅ ∠BDE..... (given).... (1)

m∠ABD + m∠CBD = 180°... (straight line ∠'s)... (2)

From equations (1) & (2)

m∠BDE + m∠CBD = 180°....(3)

m∠BDE + m∠CDB = 180°... (straight line ∠'s)... (4)

From equations (3) & (4)

m∠BDE + m∠CBD = m∠BDE + m∠CDB

m∠CBD ≅ m∠CDB.. (Proved)

Starting with the number 10, build a sequence of 5 numbers

Answers

Answer:

  10, 11, 13, 16, 20

Step-by-step explanation:

Any 4 numbers can be added to the sequence starting with 10. Perhaps you're supposed to use a rule to choose the numbers. For any 4 numbers you might add to the sequence, a rule can be determined.

The rules we usually use are ones that require a constant difference or a constant ratio. The sequence shown above uses the rule that the difference from the previous value is 1 more than the difference between the previous two values.

Determine how many solutions the equation has. If one solution, state the value of x. 4(x – 3) = 2x + 2x – 6 – 6

Answers

Answer:

infinite solutions

Step-by-step explanation:

Given

4(x - 3) = 2x + 2x - 6 - 6 ← distribute left side and simplify

4x - 12 = 4x - 12

Since both sides are equal then the equation has an infinite number of solutions.

Answer:

I S

Step-by-step explanation:

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