A segment in the complex plane has a midpoint at 7 – 2i. if the segment has an endpoint at 11 – 3i, what is the other endpoint? –10 –2i 3 – i 9 – 2.5i 18 – 4i

Answers

Answer 1

[tex]~~~~~~~~~~~~\textit{middle point of 2 points } \\\\ (\stackrel{x_1}{11}~,~\stackrel{y_1}{-3})\qquad (\stackrel{x_2}{x}~,~\stackrel{y_2}{y}) \qquad \left(\cfrac{ x_2 + x_1}{2}~~~ ,~~~ \cfrac{ y_2 + y_1}{2} \right) \\\\\\ \left(\cfrac{ x +11}{2}~~~ ,~~~ \cfrac{ y -3}{2} \right)~~ = ~~\stackrel{\stackrel{midpoint}{\downarrow }}{(7~~,~~-2}) \\\\[-0.35em] ~\dotfill[/tex]

[tex]\cfrac{ x +11}{2}~~ = ~~7\implies x+11=14\implies \boxed{x=3} \\\\[-0.35em] ~\dotfill\\\\ \cfrac{ y -3}{2}~~ = ~~-2\implies y-3=-4\implies y=-1\implies y=-1i\implies \boxed{y=-i}[/tex]


Related Questions

please help picture below

Answers

Answer:

720

Step-by-step explanation:

height is 22

right triangle sides are

5 12 and 13

Answer:

B) 720 cm²

Explanation:

Area of triangular prism = Base × Height + Length × (perimeter of base)

Here given:

Base: 12 cmHeight: 5 cmLength: 22 cmPerimeter of Base: (5 + 12 + 13) = 30 cm

=======================================

Solve for area: 12 × 5 + 22 × (30) = 720 cm²

Find the length of the straight lines joining the following pairs of points (-1,3)and(5,2)

Answers

Answer:

es lo que es

Step-by-step explanation:

step by step =step mom

Find the value of x. Round your answer to the nearest tenth

Answers

Answer:

Your answer would be 24 but then if you  round it to the nearest tenth the you would have 20

Step-by-step explanation:

i hope this helps

please help me with this problem i will give brainliest please :) <3

Answers

Answer:

I believe it would be 3,000,000 by the end of 12 years since nothing is being taken out or deposited but instead, she put a compound interest so the numbers would go up from what i gather

Step-by-step explanation:


PLEASE HELP!!

Oakdale Farms grew two different varieties of tomatoes last summer. When
the tomatoes were fully grown, they took a sample of each variety and
compared their weights.

Answers

Answer:

D

Step-by-step explanation:

it's because of simple logic

Which of the following conditions must be met in order to make a statistical inference about a population based on a
sample if the sample does not come from a normally distributed population?

Answers

The correct answer is C. n is greater than or equal to 30

What’s 5 square root 7n

Answers

Answer:

If you are asking what 5[tex]\sqrt{7n}[/tex] is without the radical, it equals to 175n.

Step-by-step explanation:

You square the whole equation first.

5^2 = 25 and [tex]\sqrt{7n}[/tex]^2 =7n

Then you multiply it together.

25 * 7n

175n

Choose the function that represents the data in the table.
х
0
-3
1
-1
2
5
3
15
4
29
5
47
y
Oy - 3
0 y= 2* – 3
O y = 2x - 3
O y = 2x2 – 3

Answers

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

The function that represents the data in the table is y=2x²-3

What is a function?

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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3 to the third power minus 4 to the second power

Answers

Answer:

3^3-4^2=11

Step-by-step explanation:

3^3=27

4^2=16

27-16=11

(6ƒ² − 9ƒ + 10) − (− 2ƒ² − ƒ+3)

Answers

Answer:

Step-by-step explanation:

6f^2 - 9f + 10 + 2f^2 + f - 3

8f^2 - 8f + 7

Given ,
[tex] (6f^{2}-9f+10)-(-2f^{2}-f+3) [/tex]

=> [tex] 6f^{2}-9f+10+2f^{2}+f-3[/tex]

=> [tex] 8f^{2}-8f+7[/tex] is the answer

Please help!!!you must use the desmos caculator

Answers

Part (a)

Open up Desmos and click on the button that looks like a plus sign. It's at the upper left corner. We're going to want to add a table.

Type all of the values into the table. This table is stacked vertically compared to yours which is laid out horizontally. It's the same thing pretty much. It depends on your preference on which you like better.

After the data values are typed in (which is a bit of a tedious process if you ask me), you'll then move to the next input box to type the following

[tex]y_1 \sim mx_1 + b[/tex]

Type it in exactly as you see it. To get the small '1's as subscripts, you'll need to use an underscore. So you'll type y_1 to mean [tex]y_1[/tex]

The ~ symbol is likely found in the upper left portion of your keyboard.

After typing that into the second input box, you should get what you see in the screenshot below.

The parameters your teacher wants are the m and b values.

Desmos is showing these values:

m = 0.125873b = -7.11916

These values are approximate. As the instructions state, do not round the values mentioned.

Therefore, we go from y = mx+b to y = 0.125873x-7.11916 approximately

This is the regression line. It is the closest line to all of the points.

Answer: y = 0.125873x-7.11916

===========================================================

Part (b)

The year 2022 is 2022-1900 = 122 years after the year 1900.

This means we'll plug x = 122 into the regression equation to find the predicted value for y.

y = 0.125873x-7.11916

y = 0.125873*122-7.11916

y = 8.237346

I used the Desmos input box as a calculator. Simply type in 0.125873*122-7.11916 exactly as you see it and it should produce the value 8.237346

That then rounds to 8.24

We predict in the year 2022, the minimum wage should be about $8.24

This is an estimated value because the regression line isn't perfect. In fact, the further we move away from the main known points, the worse off the estimation will likely get. This is why extrapolation could be a bad idea. However, it's a fairly good way to see what's going on.

Answer: $8.24

4.
Suppose events A and B are independent and P(A and B) is 0.2
Which statement could be true?
(1) P(A) = 0.4, P(B) = 0.3, P(A or B) = 0.5
(2) P(A) = 0.8, P(B) = 0.25
(3) P(A/B) = 0.2, P(B) = 0.2
(4) P(A) = 0.15, P(B) = 0.05

Answers

Answer: answer choice 2) P(A) = 0.8, P(B) = 0.25

Step-by-step explanation:

The True statement is  P(A) = 0.8, P(B) = 0.25.

The correct option is (B).

What is Conditional Probability?

Conditional probability is a measure of the probability of an event occurring, given that another event has already occurred.

1. 0.4 ·0.3≠ 0.2,

2. 0.8 · 0.25 = 0.2

3. P(A|B)= P(A)= 0.2

        0.2 ≠ 0.2 · 0.2

4. 0.2 ≠ 0.15 · 0.05

Hence. the only condition is satisfied is (B).

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Can someone help me please

Answers

Answer:

∠A≅∠Y          AB≅YZ

∠B≅∠Z          AC≅YX

∠C≅∠X          BC≅ZX

ΔABC≅ΔYXZ

Step-by-step explanation:

congruent is identical in form so if the angle has one dash than look for the identical version on the other triangle

Which set only contains numbers that make the inequality true? x + 19 < 28 {10, 11, 12, 13} {10, 11, 12, 13} {3, 4, 5, 6} {3, 4, 5, 6} {12, 13, 14, 15} {12, 13, 14, 15} {7, 8, 9, 10}

Answers

Answer:

{3, 4, 5, 6} 

Step-by-step explanation:

Inequalities represent the value of a variable by comparing them to other values.

Inequality Signs

Before answering the question, make sure you understand the different inequality signs.

< - This sign represents less than. This means that the value on the left is less than the value on the right.> - This sign represents greater than. This means that the value on the left is greater than the value on the right.< - This sign means less than or equal to. So, the value on the left will be less than or the same as the value on the right.> - This sign means greater than or equal to. So, the value on the left will be greater than or the same as the value on the right.

Solving the Inequality

To make this question easier to answer, we can solve the inequality. Solving an inequality involves isolating the variable.

To do this subtract 19 from both sidesx < 9

Finding the Set

Now that we solved the inequality we can look for the correct set of numbers. Since we solved the inequality, we know that all of the correct values should be less than 9. However, because there was no equal to sign, 9 is not included in the set. The only set that has only correct solutions is {3, 4, 5, 6}.

Please help with this as soon as possible. Assignment due tomorrow!!

Answers

1 - transversal is RS , angle is CORRESPONDING
2 - transversal is BA , angle is ALTERNATE INTERIOR
3 - transversal is RS , angle is CORRESPONDING
4 - transversal is TU , angle is ALTERNATE EXTERIOR
5 - transversal is TU , angle is ALTERNATE INTERIOR
6 - transversal is CD , angle is ALTERNATE EXTERIOR
7 - transversal is TU , angle is ALTERNATE EXTERIOR
8 - transversal is TU , angle is CORRESPONDING
9 - transversal is AB , angle is ALTERNATE INTERIOR
10 - transversal is CD , angle is ALTERNATE INTERIOR
11 - transversal is RS , angle is CORRESPONDING
12 - transversal is TU , angle is CORRESPONDING

help please

Based on a your normal distribution curve, 68% of a sample pack of M&M's would have
at LEAST how many orange M&M's out of a pack of 56 total M&M's

Answers

Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's

Data obtained from the questionTotal pack = 56Percentage = 68%Amount of M&M's =?

How to determine the amount of M&M's

The amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:

Amount = percentage × total

Amount of M&M's = 68% × 56

Amount of M&M's = 0.68 × 56

Amount of M&M's = 38

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Find the coordinates of the midpoint of the lines joining the following pairs of points:. 1. (3,-6) and (5,8). 2. (-4,-2) and (1,-3)​

Answers

Answer:

(4, 1)(-3/2, -5/2)

Step-by-step explanation:

The coordinates of the midpoint of a line segment are the average of the coordinates of the end points.

  M = (A +B)/2

__

1.

  M = (3 +5, -6 +8)/2 = (8, 2)/2 = (4, 1)

The midpoint coordinates are (4, 1).

__

2.

  M = (-4 +1, -2 -3)/2 = (-3, -5)/2 = (-3/2, -5/2)

The midpoint coordinates are (-3/2, -5/2).

x^2+y^2−4x+2y=b
The radius of the circle is 7 units. What is the value of b in the equation?

Answers

Answer:

  b = 44

Step-by-step explanation:

We can complete the square(s) to put the equation in standard form. Then we can find the value of b that makes the radius be 7 units.

__

  x^2 +y^2 -4x +2y = b . . . . . given

  (x^2 -4x) +(y^2 +2y) = b . . . . group by variable

  (x^2 -4x +4) +(y^2 +2y +1) = b + 4 + 1 . . . . complete the squares

  (x -2)^2 +(y +1)^2 = b +5 = 7^2 = 49 . . . . . write as squares, show radius

  b = 49 -5 = 44 . . . . subtract 5

The value of b to make the radius 7 is 44.

_____

The standard form of the equation for a circle is ...

  (x -h)^2 +(y -k)^2 = r^2 . . . . . center (h, k), radius r

write the equation of the line that passes through (-3,6) with a slope of -2

Answers

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

[tex]\diamond\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

       What is the equation of the line that passes through (-3, 6) and has a slope of -2?

[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}\diamond[/tex]

     

First, we need to write the equation of the line in point-slope form:-

[tex]\sf{y-y_1=m(x-x_1)}[/tex]

Replace y1 with 6, m with -2, and x1 with -3:-

[tex]\sf{y-6=-2(x-(-3)}[/tex]

On simplification,

[tex]\sf{y-6=-2(x+3)}[/tex]

On further simplification,

[tex]\sf{y-6=-2x-6}[/tex]

Add 6 on both sides:-

[tex]\it{y=-2x}[/tex]

Good luck with your studies.

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

Hello I really needs some help this is algebra

Answers

Answer:

x = 5

Step-by-step explanation:

5 - 3x = - 10

Subtract 5 from both sides:

5 - 5 - 3x = -10 - 5

-3x = -15

Divide -3 by both sides:

-3x/-3 = -15/-3

x = 5

hope this helps!! p.s. i really need brainliest :)

Answer: x=5. Hope this helped!

Solve: (6 • 6 + (-3)) ÷ 11
please

Answers

Answer:

The correct answer is 3.

Step-by-step explanation:

I'm assuming you need this now so I won't explain it.

Hope this helps:) Goodluck!

HEy does anyone go to Purchase line High school in Pennsylvania? And is in 8th grade
please only answer if you are, please

Answers

No I’m not I got to los lunas middle school in New Mexico

.A cylindrical tank full of water has a
diameter of 10 feet and a height of 14 feet.
If 250 cubic feet is drained from the tank,
how much water remains?

Answers

Answer:

849

Step-by-step explanation:

Question 3 of 10
The minimum monthly payment for Janet's credit card is 2% of her balance or
$10, whichever is higher. If Janet's balance at the end of her last billing cycle
was $760, what is her minimum monthly payment?
A. $10.00
O B. $5.20
C. $25.20
OD. $15.20

Answers

The correct answer is: Option 15.20

Explanation:
At the end of her last billing the amount = $760

The minimum monthly payment of Janet's card is 2%.

To find the monthly payment, we need to find the 2% of $760.

Therefore,
$760 * 2 / 100 = $15.20 > $10

18 people are trying out for a soccer team. How
1
I goalie,
many different ways could you choose
5-defenders, 6 midfielders, and 3 forwards?

Answers

Answer:

Using arrangements with repetitions, it is found that they can be grouped in 46,200 ways.

What is the arrangements formula?

Step-by-step explanation:

I don't get what I'm doing wrong,does anybody know this?The diameter of a great circle is 24 inched find the total surface area of the hemisphere don't forget to include the base in the total area.

Answers

since it's diameter is 24, its radius must be 12.

[tex]\textit{surface area of a sphere}\\\\ SA=4\pi r^2 ~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ r=12 \end{cases}\implies SA=4\pi (12)^2\implies SA=576\pi[/tex]

now, that's for a sphere, for a hemisphere with the same radius it'd just be half that or 288π, now let's add the area of the circular base.

[tex]\stackrel{\textit{\LARGE Areas}}{\stackrel{hemisphere}{288\pi} ~~ + ~~\stackrel{circular~base}{\pi (12)^2}}\implies 288\pi ~~ + ~~144\pi \implies 432\pi[/tex]

The total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

What is hemisphere?

A hemisphere is "half the part of sphere".

According to the question,

The diameter of greater circle is 24 this implies radius of circle is 12.

Surface area of sphere = 4πr²

= 4×π × (12)²

= 576π.

Surface area of sphere is 576π

Surface area of Hemisphere is half of the surface area of sphere.

(576π)/2 = 288π

In order to include the base in the total area only if add surface area of hemisphere and area of circle.

surface area of hemisphere + rea of circle = 288π + π(r)²

= 288π + π(12)²

= 288π + 144π

= 432π

Hence, the total surface area of the hemisphere is 288π. The area that include both surface area of hemisphere and the base of the total area is 432π.

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Solve the following equation:-
2x(3+5)+6 x4​

Answers

Answer:

40

Step-by-step explanation:

Using BODMAS

[tex](2 \times (8)) + (6 \times 4)[/tex]

[tex]16 + 24 = 40[/tex]

Answer:

40

Step-by-step explanation:

Using PEMDAS

ParenthesesExponentsMultiplicationDivisionAdditionSubtraction

Simplify terms in the parentheses.

2 × (3 + 5) + 6 × 42 × 8 + 6 × 4

Multiplying

2 × 8 + 6 × 416 + 24

Adding

16 + 2440

Evaluate f(-2): f(x)=3/2x-4​

Answers

Answer:

f(- 2) = - 7

Step-by-step explanation:

substitute x = - 2 into f(x)

f(- 2) = [tex]\frac{3}{2}[/tex] × - 2 - 4 = - 3 - 4 = - 7

Help will give brainilist ✨✨✨

Answers

Answer:

The answer to the first question is

[tex]16.37[/tex]

The answer to the second question is D

Solve for x in the equation

Answers

Answer:

x = -1 + ⟌17

Step-by-step explanation:

You want to solve the equation for x by finding a, b, and c of the quadratic formula

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