The following statements are about finding a midpoint of a segment in the complex plane. Which statement is false?
The midpoint is the average of the endpoints.
First add the endpoints and then multiply by 1/2.
First subtract the endpoints and then divide by 2.
The midpoint of complex conjugates will lie on the x-axis.

Answers

Answer 1

Answer:

C.

Step-by-step explanation:

First subtract the endpoints and then divide by 2.

Answer 2

The incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.

What is complex number?

"It is a number of the type a + ib, where a, b are real numbers and [tex]i=\sqrt{-1}[/tex]"

What is midpoint formula in the complex plane?

"The midpoint of two complex numbers a + bi and s + ti is [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex]"

What is complex plane?

"It is formed by the complex numbers, with real axis (x-axis in coordinate plane) and imaginary axis(y-axis in coordinate plane)"

For given question,

We know that the midpoint of a segment in the complex plane passing through two complex numbers a + bi and s + ti is given by [tex]M=\frac{a+s}{2}+i(\frac{b+t}{2} )[/tex].

This means, the midpoint is the average of the endpoints.

or to find the midpoint first add the endpoints and then multiply by [tex]\frac{1}{2}[/tex]

We know that the complex conjugate of a complex number x + iy is        x - iy.

if we find the midpoint of a segment passing through these points, then it would be,

[tex]M=\frac{x+x}{2} + i (\frac{y-y}{2})\\\\M=x+0i\\M=x+0\\M=x[/tex]

This means the midpoint would lie on the X-axis.

Therefore, the incorrect statement about the midpoint of a segment in the complex plane is: First subtract the endpoints and then divide by 2.

Learn more about midpoint of complex numbers here:

https://brainly.com/question/11839107

#SPJ2


Related Questions

Find out the coordinates

Answers

answer:

c) (0,-8)

reason:

it may be easiest to visualize by putting (-3,-5) and (-6,-2) on a graph
you can see that to get from C to B you have to add 3 to the x value and subtract 3 from the y value
do the same to point B, which will give you (0,-8)

You have a bin full of the letters HGUSTWQ. If four letters are drawn at random, what is the probabilty the letters drawn will spell the word GUST ( in the order they are drawn )?

Answers

Answer:

see I need help for chemistry pls anyone here helps me I must submit before 10:30

The average spending at Neco's salad bar is $8.73 with a standard deviation of $3.41. The distribution follows t-distribution. The management is interested in the middle 90% of the customers (spending wise) as it believes that they represent their true customer base. What will be the difference between the upper and lower spending cut-offs which define the middle 90% of the customers if the sample contains 41 customers

Answers

Answer:

Difference between upper and lower limits is : 1,816

Step-by-step explanation:

A CI (confidence interval ) for  t student distribution is:

( μ₀  - t(α/2)* s/√n  ;    μ₀  + t(α/2)* s/√n )

Where:

μ₀  is the mean and s the standard deviation of the dstribution

n size of the sample

CI = 90 %     means   α = 10 %    α = 0,1      α/2  = 0,05

and degree of freedom   df = n - 1   df = 40

From t student table we get:

tα/2  =  1,6839

Then:

t(α/2)* s/√n  =  1,6839* 3,41/√40

t(α/2)* s/√n  =  0,908

8,73 - 0,908   =  7,822

8,73 + 0,908  = 9,638

CI (90%)  =  ( 7,822  ;  9,638 )

Difference between upper and lower cut-offs points is:

Δ = 1,816

Help me please this is math

Answers

Answer:

c) none of the above

Step-by-step explanation:

this is because we should put the equation like:

1/3 - (-4/3) because the distance is 5 units and

1/3 + 4/3 = 5/3

this is because (-) × (-) = (+)

Julie travels 3 times as fast as Bill. Traveling in opposite directions, they are 190 miles apart after 2.5 hours. Find their rates of travel.

Answers

Answer:

Step-by-step explanation:

Let b

Bill's rate of travel = x

Let Julie's rate of travel = 3x

The time each travels is 2.5 hours

Together they travel a distance of 190 miles

d = r*t

Bill's distance covered is r * t = 2.5x

Julie's distance travel is 2.5 * 3x = 7.5x

The total distance = Bill + Julie

2.5x + 7.5x = 190

10x = 190

x = 190/10

x = 19

Bill's distance = 2.5 * 19 = 47.5

Julie's distance = 19 * 7.5 = 142.5

Rate = distance / time

Bill's rate = 47.5 / 2.5 = 19 miles per hour.

Julie's rate = 142.5/2.5 = 57 miles per hour

Is there an easier way?

You should notice that Bill's rate is just x which is 19 miles / hour

You can also notice that Julie is going 3 times as fast or 19*3 = 57

Find the triangle of the following figure: A. 30cm2 B: 36cm2 C. 18cm2 D. 15cm2

Answers

Answer:

D. 15cm2

Step-by-step explanation:

To find the area of a triangle, you multiply the base (10cm) and height of the triangle (3cm) and divide that by 2. So 10×3=30. Then, you need to divide this by 2. Since 30 is an even number, you won't get a decimal. So 30/2=15. And dont forget your units!

The three volumes of Lord of the Rings sit in order on a shelf. Each is 1 1/4 inches thick, comprising an inch of pages and 1/8 inch for each cover. A bookworm bores from page 1, volume I, to the last page of volume III. How far does it travel?

Answers

Answer:

4 2/4 (NOT SIMPLIFIED)

Step-by-step explanation:

Comprising means made of (aka including). You just add 1 1/4+1 1/4+1 1/4.

=3 3/4

The 1/8 is for the front and back cover. The bookworm ate through 3 volumes so there is 6 covers. So times 1/8 by 6. I turned the 6 into a fraction by putting it over 1. So now you have 1/8×6/1=6/8. Now you are going to add the 3 3/4 to the 6/8. You are going to turn the whole fraction to an improper. You are going to multiply the whole number(3) to the denominator(4), add that to the numerator(3) , and put it over the original denominator (4)= 15/4. Now you are going to set up the problem were you add the 6/8 to the 15/4. To add fractions the denominator have to be the same. With this problem you have two options: you can either do an equation to change the 6/8 denominator equal to 4 or an equation to change the 15/4 denominator equal to 8. Either one would work fine. I'm going to show you how to set the 6/8 denominator to 4.

1. Set it up as an equation                       6/8=x/4

2. Find what gets the first denominator to the second in this case dividing by 2                                                          6/8=x/4

3. What you do to the bottom is what you have to do with the top. So to find x, you need to divide 6 by 2= 3

So now your new equation is now 3/4+15/4. Adding this should give you 18/4, but most likely you have to write it as a proper fraction. To do this you are going to divide the 18 by 4. Your remainder will become your new numerator and the 4 will still be you denominator. The number times 4 fully goes into 18 will be your new whole number.

18/4=4.5

Chris wonders whether the planes that fly over his house follow any sort of pattern. For two months, he
records whether each plane he sees follows a north-south route or an east-west route. He also records the
day of the week that he sees each plane.
Unfortunately, Chris dropped his data in the mud and can't read all of his numbers. The absolute and
relative frequency tables below show the numbers that Chris is able to read. Can you help him figure out
the rest?
Fill in the missing values from each table.

Answers

Answer:

Kindly check explanation

Step-by-step explanation:

From the relative frequency below:

For NORTH - SOUTH:

Monday - Thursday = 115 ; has a relative frequency of 75.16%,

Hence, we can obtain the row total since it amounts to 100% thus;

75.16% of row total = 115

0.7516× row total = 115

Row total = 115 / 0.7516 = 153.00

Hence, Friday - sunday:

Row total - (Monday-Thursday)

153 - 115 = 38

FOR EAST - WEST:

Monday - Thursday = 21 ; has a relative frequency of 25.30%,

Hence, we can obtain the row total since it amounts to 100% thus;

25.30% of row total = 21

0. 253 × row total = 21

Row total = 21 / 0.253 = 83.00

Hence, Friday - sunday:

Row total - (Monday-Thursday)

83 - 21 = 62

x = (38 / 100) × 100%

x = 0.38 × 100%

x = 38.00 %

Answer:

The basic explanation:

North - South/Friday - Sunday- 38 // Row total- 153

East - West/Friday - Sunday- 62 // Row total- 83

x- 38

What if the perimeter of the table?

Answers

Step-by-step explanation:

13? i forgot all this math XD

Ans=>12+8(pi)
If you look closely at those corners u can see those are the quarters of a circle with radius 4.
So now just add the lenghts and the circumference of that circle of radius 4
3+3+3+3+8pi

When two times a number is decreased by 3, the result is 11. What is the number? ​

Answers

Answer:

7

Step-by-step explanation:

let the unknown number be x

so x times 2 minus 3=11

it will now be 2x-3=11

the -3will cross the equal sign and change to +3

2x=11+3 which will be 2x=14

divide both sides by 2 and the final answer will be x=7

What is the fractional equivalent of the repeating decimal 0.2 ?​

Answers

Answer:

1/5

Step-by-step explanation:

I put it in a graphing calculator and converted it into a fraction

y=1/4x + 6
that passes through the point (-4, 3) in slope-intercept form.

Answers

Answer:

The answer is

[tex]y = \frac{1}{4} x + 4[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line.

The equation is

y = 1/4x + 6

Comparing with the general equation above

Slope = 1/4

Since the lines are parallel their slope are also the same

That's

Slope of parallel line = 1/4

So the equation of the parallel line using point (-4 , 3) and slope 1/4 is

[tex]y - 3 = \frac{1}{4} (x + 4) \\ y - 3 = \frac{1}{4} x + 1 \\ y = \frac{1}{4} x + 1 + 3[/tex]

We have the final answer as

[tex]y = \frac{1}{4} x + 4[/tex]

Hope this helps you

What is the answer to x - 3 = -10

Answers

Answer:

x = -7

Step-by-step explanation:

x - 3 = -10

Add 3 to each side

x - 3+3 = -10+3

x = -7


4x – 3y = 20
2x + y = 30
Using the two equations above, solve for y.

Answers

Answer:

4x-3y+20

Step-by-step explanation:

x=6.875

y=2.5

2x+y=30

x=12.5

y=-5

Find the greatest common factor of 30p4q3, 45p6q5, 90p9q4

Answers

Answer:

no cule bro

Step-by-step explanation:

Answer:

15p4q3

Step-by-step explanation:

Martin's average score after 4 tests is 89. What score on the 5th test would bring Martin's average up to exactly 90?

Answers

Answer:

104

Step-by-step explanation:

89x4=356 90x5=450

450=356=104

Answer:

94

Step-by-step explanation:

((89x4)+94) divided by 5 = 90

ionic bonds occur between?

Answers

Answer:

Ionic bonds usually occur between metal and nonmetal ions. For example, sodium (Na), a metal, and chloride (Cl), a nonmetal, form an ionic bond to make NaCl. In a covalent bond, the atoms bond by sharing electrons. Covalent bonds usually occur between nonmetals.

An ionic bond is held together by the electrostatic attraction between ions that are near one another. Electrostatic attraction is the attraction between atoms that have opposite charge and holds the atoms together in ionic bonds.

Perform the following operations and write the answers in radical form. Part A:√7+√3+√98−√18 Part B:3√5−3√11+2√121−3√90

Answers

Answer:

[tex]\sqrt{7}+\sqrt{3}+4\sqrt{2}[/tex] [tex]3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}[/tex]

Step-by-step explanation:

Part A ;

[tex]\sqrt{7} +\sqrt{3} +\sqrt{98} -\sqrt{18} \\\\\sqrt{98}=7\sqrt{2}\\\sqrt{18}=3\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+7\sqrt{2}-3\sqrt{2}\\\\\mathrm{Add\:similar\:elements:}\:7\sqrt{2}-3\sqrt{2}=4\sqrt{2}\\\\=\sqrt{7}+\sqrt{3}+4\sqrt{2}[/tex]

Part B ;

[tex]3\sqrt{5} - 3\sqrt{11} + 2\sqrt{121} -3\sqrt{90} \\\\2\sqrt{121}=22\\3\sqrt{90}=9\sqrt{10}\\\\=3\sqrt{5}-3\sqrt{11}+22-9\sqrt{10}[/tex]

WILL MARK BRAINLIEST

List all of the number sets that contain the number 15.
A. rational numbers and integers
B. rational numbers, integers, and natural numbers
C. rational numbers, integers, and whole numbers
D. rational numbers, integers, natural numbers, and whole numbers

Answers

Answer: D

Step-by-step explanation:

help me asap i don't know this

Answers

Answer:

y = 3

Step-by-step explanation:

Step 1: Write equation

-2(7 - y) + 4 = -4

Step 2: Subtract 4 on both sides

-2(7 - y) = -8

Step 3: Distribute

-14 + 2y = -8

Step 4: Add 14 to both sides

2y = 6

Step 5: Divide both sides by 2

y = 3

What is the sum of Negative 1 + (negative 3)?

Answers

Answer:

[tex]\huge\boxed{-4}[/tex]

Step-by-step explanation:

=> [tex]\sf -1 + (-3)[/tex]

According to the rule [tex]\sf + * - = -[/tex]

=> [tex]\sf -1-3[/tex]

=> -4

Answer:

-4

Step-by-step explanation:

-1 + (-3)

To add two negative numbers, add their absolute values, and make the answer negative.

The absolute values of -1 and -3 are 1 and 3. We add 1 + 3 and get 4.

Then we make the answer negative.

-1 + (-3) = -4

f(x) = x - 5, translated 6 units to the right.

Answers

Answer:

[tex]g(x) = x - 11[/tex]

Step-by-step explanation:

Given

[tex]f(x) = x - 5[/tex]

Required

Translate to the right by 6 units

When a function is translated to the right, the resulting function becomes

[tex]g(x) = f(x - h)[/tex]

Where h is the number of units moved;

Since; h = 6

[tex]g(x) = f(x - h)[/tex]

becomes

[tex]g(x) = f(x - 6)[/tex]

Solving for f(x - 6);

[tex]f(x) = x - 5[/tex]

Substitute x - 6 for x

[tex]f(x - 6) = x - 6 - 5[/tex]

[tex]f(x - 6) = x - 11[/tex]

This implies that [tex]g(x) = x - 11[/tex] is the result of the translation

Which of the following are dimensionally consistent? (Choose all that apply.)(a) a=v / t+xv2 / 2(b) x=3vt(c) xa2=x2v / t4(d) x=vt+vt2 / 2(e) v=x2 / at3(f) a3=x2v / t5(g) x=t(h) v=5at

Answers

Complete Question

The  complete question is shown on the first uploaded image

Answer:

A

is dimensionally consistent

B

is not dimensionally consistent

C

is dimensionally consistent

D

is not dimensionally consistent

E

is not dimensionally consistent

F

is dimensionally consistent

G

is dimensionally consistent

H

is not dimensionally consistent

Step-by-step explanation:

From the question we are told that

   The equation are

                        [tex]A) \   \  a^3  =  \frac{x^2 v}{t^5}[/tex]

                       

                       [tex]B) \   \  x  =  t [/tex]

 

                       [tex]C \ \ \ v  =  \frac{x^2}{at^3}[/tex]

 

                      [tex]D \ \ \ xa^2 = \frac{x^2v}{t^4}[/tex]

                      [tex]E \ \ \ x  = vt+ \frac{vt^2}{2}[/tex]

                     [tex]F \ \ \  x = 3vt[/tex]

 

                    [tex]G \ \ \  v =  5at[/tex]

 

                    [tex]H \ \ \  a  =  \frac{v}{t} + \frac{xv^2}{2}[/tex]

Generally in dimension

     x - length is represented as  L

     t -  time is represented as T

     m = mass is represented as M

Considering A

           [tex]a^3  =  (\frac{L}{T^2} )^3 =  L^3\cdot T^{-6}[/tex]

and    [tex]\frac{x^2v}{t^5 } =  \frac{L^2 L T^{-1}}{T^5}  =  L^3 \cdot T^{-6}[/tex]

Hence

           [tex]a^3  =  \frac{x^2 v}{t^5}[/tex] is dimensionally consistent

Considering B

            [tex]x =  L[/tex]

and      

            [tex]t = T[/tex]

Hence

      [tex]x  =  t[/tex]  is not dimensionally consistent

Considering C

     [tex]v  =  LT^{-1}[/tex]

and  

    [tex]\frac{x^2 }{at^3} =  \frac{L^2}{LT^{-2} T^{3}}  =  LT^{-1}[/tex]

Hence

   [tex]v  =  \frac{x^2}{at^3}[/tex]  is dimensionally consistent

Considering D

    [tex]xa^2  = L(LT^{-2})^2 =  L^3T^{-4}[/tex]

and

     [tex]\frac{x^2v}{t^4}  = \frac{L^2(LT^{-1})}{ T^5} =  L^3 T^{-5}[/tex]

Hence

    [tex] xa^2 = \frac{x^2v}{t^4}[/tex]  is not dimensionally consistent

Considering E

   [tex]x =  L[/tex]

;

   [tex]vt  =  LT^{-1} T =  L[/tex]

and  

    [tex]\frac{vt^2}{2}  =  LT^{-1}T^{2} =  LT[/tex]

Hence

   [tex]E \ \ \ x  = vt+ \frac{vt^2}{2}[/tex]   is not dimensionally consistent

Considering F

     [tex]x =  L[/tex]

and

    [tex]3vt = LT^{-1}T =  L[/tex]      Note in dimensional analysis numbers are

                                                       not considered

  Hence

       [tex]F \ \ \  x = 3vt[/tex]  is dimensionally consistent

Considering G

    [tex]v  =  LT^{-1}[/tex]

and

    [tex]at =  LT^{-2}T =  LT^{-1}[/tex]

Hence

      [tex]G \ \ \  v =  5at[/tex]   is dimensionally consistent

Considering H

     [tex]a =  LT^{-2}[/tex]

,

       [tex]\frac{v}{t}  =  \frac{LT^{-1}}{T}  =  LT^{-2}[/tex]

and

    [tex]\frac{xv^2}{2} =  L(LT^{-1})^2 =  L^3T^{-2}[/tex]

Hence

    [tex]H \ \ \  a  =  \frac{v}{t} + \frac{xv^2}{2}[/tex]  is not dimensionally consistent

We want to see which ones of the given expressions are dimensionally consistent. We will see that the correct options are:

a) x = 3*v*th) v = 5*a*t

What means to be dimensionally consistent?

This means that we have the same units in the left and in the right side of the equation.

The units are:

a = [m/s^2]x = [m]v = [m/s]t = [s]

Now we can analyze the expressions to see the units in each one, I will show you how to do it:

a) a = v/t + x*v^2

Replacing the units we have:

[m/s^2] = [m/s]/[s] + [m]*[m^2/s^2]

[m/s^2] = [m/s^2] + [m^3/s^2]

You can see that we have an m^3 in the right side, so these are not equivalent.

b) x = 3*v*t

Replacing the units we have:

[m] = 3*[m/s]*[s] = 3*[m]

So yes, the units are the same in both sides, so this is dimensionally consistent.

With the same procedure we can see that:

c) [m^3/s^2] = [m^3/s]                not consistentd) [m] = [m] + [m*s]                     not consistente) [m/s] = [m^2]                           not consistentf) [m^3/s^6] = [m^3/s]                 not consistentg) [m] = [s]                                   not consistenth) [m/s] = 5*[m/s]                        consistent

So the correct options are b and h.

If you want to learn more about dimensions, you can read:

https://brainly.com/question/20384972

Evaluate (5-3)^3+ -3^2(6-3)

Answers

Steps to solve:

(5 - 3)^3 + (-3)^2(6 - 3)

~Simplify

2^3 + (-3)^2(3)

2^3 + (-3)^6

~Solve exponents

8 + (-729)

~Subtract

-721

Best of Luck!

what expression is equivalent

Answers

Answer:

-4x^2, -3x, -5

Step-by-step explanation:

-4x^2 + 2x - 5 (1 + x)

-4x^2 + 2x - 5 + 5x

-4x^2 - 3x - 5

100(z-0.2)=-10(5z+0.8)​

Answers

Answer:

Z= 0.08

Or

Z= 2/25

Step-by-step explanation:

100(z-0.2)=-10(5z+0.8)​

Opening all the bracket

100z - 20= -50z - 8

Collecting like terms, and at Same time adding up this like terms

100z +50z = -8+20

150z= 12

Dividing bith sides of the equation by 150 to look for the value of z

(150/150)(z)=12/150

Z= 0.08

Or

Z= 2/25

please help :)) ❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️❤️

Answers

34 is a rational number hole this helped :))

The online program at a certain university had an enrollment of 580 students at its inception and an enrollment of 1725 students 3 years later

Answers

Answer:

Step-by-step explanation:

The question is incomplete. Here is the complete question.

The online program at a certain university had an enrollment of 580 students at its inception and an enrollment of 1725 students 3 years later. Assume that the enrollment increases by the same percentage per year. a) Find the exponential function E that gives the enrollment t years after the online program's inception. b) Find E(11), and interpret the result. c) When will the program's enrollment reach 5500 students?

Let E0 be the number of students that enrolled at inception

E(t) be the number of students that enrolled at any time t

At inception i.e at t = 0, E0 = 580

The exponential function E that gives the enrollment at inception will be expressed as;

E(t) = E0e^kt (note that the exponential power is positive since number of students keep increasing yearly).

At inception:

E(0) = 580e^k(0)

E(0) = 580(1)

E(0) = 580

If after 3years, enrollment increases to 1725 students i.e at t = 3, E(t) = 1725. The equation becomes;

E(3) = P0e^kt

E(3) = 580e^3k

1725 = 580e^3k

Make k the subject of the formula:

e^3k = 1725/580

e^3k = 2.9741

Apply ln to both sides of the equation

ln(e^3k) = ln(2.9741)

3k = 1.08995

k = 1.08995/3

k = 0.3633

The exponential function E that gives the enrollment t years after the online program's inception will be expressed as;

E(t) = E0e^kt

Given E0 = 580 and k = 0.3633

E(t) = 580e^0.3633t

b) To get E(11), we will substitute t = 11 into the resulting expression in (a) above to have;

E(t) = 580e^0.3633t

E(11) = 580e^0.3633(11)

E(11) = 580e^3.9965

E(11) = 580×54.4074

E(11) = 31,556.287

E(11) ≈ 31,556 students

This means that about 31,556students enrolled 11years later.

c) To know when the program's enrollment reach 5500 students, we will set E(t) to 5500, E0 to 580 and k to 0.3633 and calculate the value of t

From the equation E(t) = 580e^0.3633t

5500 = 580e^0.3633t

e^0.3633t = 5500/580

e^0.3633t = 9.4828

Apply ln to both sides

ln(e^0.3633t) = ln(9.4828)

0.3633t = 2.2495

t = 2.2495/0.3633

t = 6.19

t ≈ 6years

This means that the program's enrollment will reach 5500 students 6 years later.

The product of 6 and a is 30

Answers

Answer:

30 divided by 6=5

Step-by-step explanation:

a=5

5 times 6 is the product of 30

Which of the following is an example of a translation?
a) The preimage is twice the size as the image.
b) The preimage is moved 5 spaces up.
c) The preimage is rotated 90 degrees about the origin.
d) The image is a mirror reflection of the preimage.



Answers

Answer:

Step-by-step explanation:

a)the pre image us twice the same size as the image

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