what is the midpoint of a segment in the complex plane with endpoints at 6-2i and -4+6i?

Answers

Answer 1

Answer:

1+2i

Step-by-step explanation:

midpoint: (6 + -4)/2 + (-2 + 6)/2 i

               = 1+2i

What Is The Midpoint Of A Segment In The Complex Plane With Endpoints At 6-2i And -4+6i?

Related Questions

Teresa will rent a car for the weekend. She can choose one of two plans. The first plan has an initial fee of $59 and costs an additional $0.08 per mile driven, The second plan has an initial fee of $48 and costs an additional $0.10 per mile driven. For what amount of driving do the two plans cost the same? Omiles What is the cost when the two plans cost the same? $0​

Answers

Answer:

1. 550 miles

2. $103

Step-by-step explanation:

y = total rental cost

m = initial fee

x = cost per mile

n = number of miles

Plan 1: y = m + xn = 59 + 0.08n

Plan 2: y = m +xn = 48 + 0.10n

Q1. if total cost is the same : 59 + 0.08n = 48 + 0.10n >>> 0.02n = 11 >>> n = 550

Q2. y = m + xn = 59 + 0.08n = 59 + 0.08(550) = 103

Can a shape have the perimeter be the same as the area?

Answers

Answer:

In geometry, area is the 2-dimensional space or region occupied by a closed figure, while perimeter is the distance around a closed figure i.e. the length of the boundary. Two shapes may have the same perimeter, but different areas or may have the same area, but different perimeters.

Step-by-step explanation:

Answer maybe

Step-by-step explanation:

Write the linear equation into Standard Form. 8+3x=-9y

Answers

Hello! :p

Original: 8+3x=-9y

standard form:  3x + 9y = -8

I hope this helps! Have a wonderful day! :)

Is this a quadratic function? Why or why not?

Answers

Answer:

Not a quadratic function.

Step-by-step explanation:

Definitions

A function is a relation wherein each input or x-value corresponds exactly to an output or y-value.  In other words, a relation is a function if there are no repeating x-values.  

Vertical Line Test :

A way to determine whether a given graph represents a function is to perform the Vertical Line Test.  Using the Vertical Line Test, we must draw vertical lines across the graph.  If each of the vertical lines drawn intersects the graph at exactly one point, then the relation is a function.  

⇒  The attached screenshot shows that the given graph fails the Vertical Line Test, as each vertical line drawn intersects the graph more than once. This means that those x-values correspond to more than one y-value. Specifically, x = 1 corresponds to the following y-values: y = -1 and y = 1.   Hence, the given horizontal parabola is not a quadratic function.

Horizontal Parabola: Not a Function      

The given graph represents a horizontal (or sideways) parabola.

The vertex form of the horizontal parabola is: x = a(y - k)² + h.  

where:

a = Determines the direction of the graph's opening.

a > 0, the graph of the parabola opens to the right.a < 0, the graph of the horizontal parabola opens to the left

y = k is the horizontal axis of symmetry

k = determines the vertical translation of the graph

h = determines the horizontal translation of the graph

Equation of the Horizontal Parabola in Vertex Form:

The vertex of the given graph occurs at the point of origin, (0, 0).

Let's use one of the given points on the graph, (1, 1), and substitute these values into the vertex form to solve for a :

x = a(y - k)² + h

1 = a(1 - 0)² + 0

1 = a( 1 )²

1 = a

Equation of the given horizontal parabola in vertex form:  

      ⇒     x = (y - 0)² + 0  or  x = y²

It is evident that in the vertex form of a horizontal parabola, the variable, y, is squared.

This implies that each x-values on the graph have more than one corresponding y-values:

                          x = 1 has two y-values: y = -1, and y = 1.

                           x = 4 has two y-values: y = -2, and y = 2.

Thus, by definition of function, the given horizontal parabola is not a quadratic function, as it fails the vertical line test.  

Solve the following system: y = x 3 4x y = 18 (6, 3) (3, 6) (â’3, 6) (3, â’6).

Answers

The solution of the given equation is (3,6). The correct option is B.(3,6)

Given equations,

[tex]y=x+3.......(1)\\4x+y=18.....(2)[/tex]

How to solve the equations?

putting the value of y from equation (1) in equation (2) , we get

[tex]4x+x+3=18\\[/tex][tex]5x=18-3\\5x=15\\x=3[/tex]

substitute the value of x=3 in equation (1) we get,

[tex]y=3+3\\y=6[/tex]

Hence, the solution of given equation is (3,6).

So, the correct option is B.

For more details about the system of equations, follow the link:

https://brainly.com/question/12895249

On an architect’s drawing of a house, 1 inch represents 7 feet. If the bedroom window is 5 inches long on the drawing, how long will it be in the actual house?

Answers

Answer:  35 feet

Work Shown:

1 inch : 7 feet

5*(1 inch) : 5*(7 feet)

5 inches : 35 feet

5 inches on paper correspond to 35 feet in the actual house.

I NEED BOTH OF THESE


60 POINTS

asap

Answers

Answer:

107.5

Step-by-step explanation:

20% of 70 = 14

70 - 14 = 66

10% of 45 = 4.5

45 - 4.5 = 41.5

66 + 41.5 = 107.5

14. Janine has job offers at two companies. The Nabisco company offers her a starting salary of $28,000 plus $2,000 for transportation costs with a raise of $3000 each year. The Keebler company offers a starting salary of $36,000 with a $2000 a year raise, After how many years would her salary at Nabisco be greater than Keebler?​

Answers

Answer:

eight years

Step-by-step explanation:

at year one: nabisco 30k and keebler: 36k

year two: nabisco: 33k and keebler: 38k

year three: nabisco: 36k and keebler: 40k

year four: nabisco: 39k and keebler: 42k

year five: nabisco: 42k and keeber: 44k

year six: nabisco: 45k and keebler 46k

year seven: nabisco: 48k and keeber 48k

year eight: nabisco: 51k and keebler 50k

Work out the area of triangle ABC.

Answers

Answer:

A = 4 cm²

Step-by-step explanation:

The area of a triangle is calculated as

A = [tex]\frac{1}{2}[/tex] bh ( b is the base and h the perpendicular height )

b = AC = 3[tex]\sqrt{2}[/tex] + [tex]\sqrt{2}[/tex] = 4[tex]\sqrt{2}[/tex]

h = BD

Calculate BD using Pythagoras' identity in Δ ABD

BD² = AB² - AD²

      = (2[tex]\sqrt{5}[/tex] )² - (3[tex]\sqrt{2}[/tex] )²

     = 20 - 18 = 2 ( take square root of both sides )

BD = [tex]\sqrt{2}[/tex]

Then

A = [tex]\frac{1}{2}[/tex] × 4[tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 2 × [tex]\sqrt{2}[/tex] × [tex]\sqrt{2}[/tex] = 4 cm²

An arrow travels north 56 meters in 0.7 seconds. What is its velocity? 39.2 m/s 39.2 m/s north 80 m/s north 80 m/s

Answers

Answer: north 80 m/s

Explanation:

speed = distance/time = 56/0.7 = 80

Recall that velocity is composed of both the speed and the direction. In this case, the arrow is traveling 80 m/s to the north

The sum of 423 and 65 is

Answers

Answer:

488

Step-by-step explanation:

what is 850000+21195=

Answers

Answer: 871195

Step-by-step explanation:

It is given that 2(3+x)=6+2x this is e so ample of which property

Answers

Answer:

  distributive property

Step-by-step explanation:

The distributive property is the one that says a multiplier outside parentheses is equivalent to multiplication of every term inside parentheses.

  2(3 +x) = 2(3) +2(x) = 6 +2x

60
60
boys at a summer camp were asked to complete a survey about their favorite outdoor activity.
18
18
boys chose biking and 29
29
boys chose fishing.
The remaining boys did not complete the survey.

Which expression gives the percent of survey participants who chose fishing?

Answers

Answer:

48.3%

Step-by-step explanation:

When we are using percentages, what we are really saying is that the percentage is a fraction of 100. "Percent" means per hundred, and so 50% is the same as saying 50/100 or 5/10 in fraction form.

So, since our denominator in 29/60 is 60, we could adjust the fraction to make the denominator 100. To do that, we divide 100 by the denominator:

100 ÷ 60 = 1.6666666666667

Once we have that, we can multiple both the numerator and denominator by this multiple:

29 x 1.6666666666667

60 x 1.6666666666667

=  

48.333333333333

100

Now we can see that our fraction is 48.333333333333/100, which means that 29/60 as a percentage is 48.3333%.

Julio just bought a $267,900 house. He had a 20 year mortgage with a fixed rate of 5. 875%. Julio’s monthly payments are $1,558. 9. What percent of the purchase price was Julio’s down payment? a. 13% b. 15% c. 18% d. 20%.

Answers

Julio's down payment was 22.08% of the purchase price.

Given that Julio just bought a $ 267,900 house, and he had a 20 year mortgage with a fixed rate of 5.875%, and Julio's monthly payments are $ 1,558, to determine what percent of the purchase price was Julio's down payment the following calculation must be performed:

(267,900 x 1.05875) - (1558 x 12 x 20) = X

582,682.50 - 373,920 = X

208,762.50 = X  

267,900 = 100

208,762.50 = X

208,762.50 x 100 / 267,900

77.92 = X

100 - 77.92 = 22.08

Therefore, Julio's down payment was 22.08% of the purchase price.

Learn more about maths in https://brainly.com/question/25917920

Jason likes to play video games. His parents allow him to play

Answers

Answer:

If its for a reasonable time yes, most parents will let their child to play a reasonable time. However, if things get out of control resulting the child being addicted to video games. It is the child's fault and parent's fault

School days: 0 to 60 minutes per day On school days and 2 hours or less on non- school days. There is some advantages in gaming. But in all don't play to much if so, your body will melt. ( not really but melt melt)

PLEASE HELP ME WITH THIS

Answers

Answer:

  35/132

Step-by-step explanation:

The probability of selecting a boy for president is 7/12, the ratio of the number of boys to the number of candidates. Then the probability of selecting a girl for vice president is 5/11, the ratio of the number of girls to the remaining number of candidates. The joint probability is ...

  (7/12)(5/11) = 35/132 . . . P(b=P&g=VP)

__

We can also look at this another way.

The number of ways two candidates can be selected from 12 is 12P2 = 132. The number of ways that the first can be a boy and the second can be a girl is (7)(5) = 35. Then the probability of a (BG) pair from the 12 candidates is 35/132.

_____

Additional comment

These numbers assume that selection is random and all possibilities are equally-likely. That is unlikely to be the case in an election.

It takes 1 3/4 cups of cherries to make a cherry pie. Emma wants to make 3 cherry pies. How many cups of cherries will Emma need

Answers

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4

Answer:

5 1/4 please give brainliest

Step-by-step explanation:

1 x 3 = 3  3/4 x 3 = 2 1/4




[tex] \sf \: If (3x-1) ^{7} = a _{7} x ^{7} + a _{6} x ^{6} + a _{5} x ^{5}+.... \\ \sf + a₁x + a _{0}, then \: \: a_0 + a₁ + a₂ + a_3 + a_4 + a_5 + a_6 + a7 = [/tex]
a)0
b)1
c)128
d)64

Please solve this for me. Need step-by-step explanation. Spam free answer required. Thank you in anticipation.

Answers

Answer:

hope it helps have a great day

Answer is option C

Answer is c) 128

I added the step by step process in the pic attached, I don't know how to explain it very well but you can use binomial theorem for (3x-1)^7

Then you can add up all the coefficients of the calculated values as the question mentions afterwards a^7 + a^6 +..... which means it only wants you to add up the coefficients of the consecutive x terms, otherwise it would say a^7x^7 + a^6x^6 +..... and so on

Hope this helps :)

1/4 divided by 3 I’m behind and I really just want to get this over with :) plus math is my least favorite subject thanks to my teacher so yeah plz help:)

Answers

Answer:

XD   [tex]\frac{1}{12}[/tex] is the answer.

Step-by-step explanation:

So, to divide a fraction with a whole number you'll have to multiply the denominator with the whole number.

Hopes This Helps

The product of w and 2 is greater than or equal to 19.

Answers

Equation Form:

w x 2 [tex]\geq[/tex] 19

Divide both sides by 2:

w [tex]\geq[/tex] 9.5

So, w must be equal to or greater than 9.5 for this equation to work.

Which of the following can be a common denominator for the fractions 6/7 and3/4 ? 14, 4, 7, 28

Answers

28 Is the answer because 7X4=28 & 4X7=28 so

please i beg for help !!!!!!!!!!! will mark brainlist

Answers

Answer:

[tex]x=-10[/tex]

Step-by-step explanation:

This deals with negative exponents.

[tex]x^{-2}=\frac{1}{x^2}[/tex]

27 and 9 are both powers of 3, so we need to find a way to make both of these into a base 3.

9 is easy, thats just:

[tex]9=3\times3=3^2[/tex]

1/27 is a little more difficult. Start with 27:

[tex]27=9\times3=3\times3\times3=3^3[/tex]

and because its a 1/27, that exponent has to be negative.

[tex]3^3=27\\3^-^3=\frac{1}{27}[/tex]

Now we can get both of them to base 3, so do that in the given equation:

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}[/tex]

Same as last time, the bases can be canceled out as the exponents have to be equal for this equation to be true.

[tex]3^{(-3)\times(4-x)}=3^{(2)\times(2x-1)}\\(-3)\times(4-x)=(2)\times(2x-1)[/tex]

Finally, solve for x:

[tex]-3(4-x)=2(2x-1)\\-12+3x=4x-2\\-10+3x=4x\\x=-10[/tex]

1 A recipe uses 1 - cups of milk to make 10 servings. If the same amount of milk is used each serving, how many servings can be made using 1 gallon of milk? Show your work​

Answers

Answer:

160 servings

Step-by-step explanation:

Step One:

1 gallon=16 cups

1 cup=10 servings

Step Two:

Multiply 16 by 10

which gives you your answer 160

Find a scale with a unit of 1 and choose the correct answer (for example, 1 cm=7 yards).


Car 18ft moele 5in

Scale: _____
1 in = 3.6 ft
1 ft=18 in
1 in = 10 ft
1 ft=11 in

Answers

Answer:

1 ft=18 in or 1ft=11in

Step-by-step explanation:

:D

A worm wriggled forward
4
5
of an inch in 3 minutes. At that rate, how far would the worm go in 1 minute?

Answers

Answer:

4/15 of an inch

Step-by-step explanation:

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

Hope this helps

Have a great day

~Zero

Answer:

4/15 of an inch

Step-by-step explanation:

A worm wriggled forward 4/5 of an inch in 3 minutes.

=> At that rate, the distance the worm would go in 1 minute is:

D = (4/5)/3 = 4/(5x3) = 4/15 of an inch

5 MINUTES to answer pls help.

20 Points

Answers

Answer:

-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

-3-(-10)/-2+1

-3-5+1

-8+1

-7

How many feet does each student climb after 10 steps?

Answers

The answer I think should be 15 hope this helps

Pilar climb 6.5 feet and Jake climbed 9.5 feet.

What is slope?

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx

where, m is the slope

Given:

slope of pilar = 3-2/3-1 = 1/2

After 10 steps let the height covered by x.

then, slope= x-2/10-1

1/2 = x-2/ 9

9 = 2x -4

13 = 2x

x= 6.5 feet

now, slope of Jake= 8-5/7-1 = 3/6 = 1/2

After 10 steps let the height covered by y.

then, slope= x-5/10-1

1/2 = y-5/9

2y- 10 = 9

2y= 19

y= 19/2

y= 9.5 feet

Learn more about slope here:

https://brainly.com/question/3605446

#SPJ5

Because Bernard has some health issues, he must pay 15% more for life insurance. About how much more annually will a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues? A 3-column table with 3 rows. Column 1 is labeled age with entries 35, 40, 45. Column 2 is labeled 10-year term, male, with entries 1. 40, 1. 64, 2. 7. Column 3 is labeled 10-year term, female, with entries 1. 36, 1. 59, 2. 1. A. $161 b. $185 c. $1,073 d. $24 Please select the best answer from the choices provided A B C D.

Answers

From the given table, the annual premium rate as a percentage of value insured a person at age 35 has to pay is 0.14%.

The amount more annually a $115,000 10-year term insurance at age 35 cost Bernard than someone of the same age without health issues is option d. $24

Reasons:

The data in the table are presented as follows;

[tex]\begin{tabular}{|c|c|c|}Age&Annual Insurance Premiums (per \$1,000 of face value)&\\&10-Year Term &\\&Male&Female\\35&1.40&1.36\\40&1.64&1.59\\45&2.07&2.01\end{array}\right][/tex]

From the above table, we have that the amount a 35 year old without health issues will pay per $1,000 is $1.40

Therefore, the amount to be paid for $115,000 is 115 × $1.4 = $161

The amount Bernard pays = 15% more = 1.15 × $161 = $185.15

Therefore;

The amount more Bernard has to pay = $185.15 - $161 = $24.15 ≈ $24

Learn more about insurance premiums here:

https://brainly.com/question/3053945

Answer:

$24 or D, Hope this helps :D

Step-by-step explanation:

Need help due in 1 min!!
Simplify!!

Answers

Answer:

C. 3^9

Step-by-step explanation:

You would simply just add the exponents.

Answer:

3^9

Step-by-step explanation:

5+4=9

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