On the Cartesian plane, the midpoint between two points $A(a,b)$ and $B(c,d)$ is $M(m,n)$. If $A$ is moved vertically upwards 8 units and horizontally to the right 2 units, and $B$ is moved vertically downwards 2 units and horizontally to the left 10 units, then the new midpoint between $A$ and $B$ is $M'$. What is the distance between $M$ and $M'$?

Answers

Answer 1

Answer:

5

Step-by-step explanation:

Answer 2

The distance between M and M' is 5 units in the cartesian plane.

What is Distance?

The length along a line or line segment between two points on the line or line segment.

The midpoint M of A(a,b) and B(c,d) is given by:

M(a+c/2, b+d/2)

After the two points are moved, the new coordinates are A'(a+2,b+8) and B'(c-10,d-2).

The new midpoint M' of A'(a+2,b+8) and B'(c-10,d-2) is given by:

M'(a+2+c-10/2 , b+8+d-2/2)

M'(a+c-8/2 , b+d+6/2)

To find the distance between M and M', we can use the distance formula:

d(M,M')=√((a+c)/2 - (a+c-8)/2)²+((b+d)/2-(b+d+6)/2)²

=√4²+(-3)²

=√16+9

=5 units

Hence, the distance between M and M' is 5 units.

To learn more on Distance click:

https://brainly.com/question/15172156

#SPJ2


Related Questions

Plesae help

Rusty's hair grows at the rate of 1 over 4 inch per month.
How many months will it take Rusty's hair to grow 5 over 8 inch?
Explain your answer using words, and show your work using division of fractions.

Answers

As per linear equation, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

What is a linear equation?

"A linear equation is an equation in which the highest power of the variable is always 1. It is also known as a one-degree equation. When this equation is graphed, it always results in a straight line."

Given, the growth rate of Rusty's hair is [tex]\frac{1}{4}[/tex] inches per month.

Let, within 'x' months, her hair will grow [tex]\frac{5}{8}[/tex] inches.

Therefore, x ×  [tex]\frac{1}{4}[/tex]  =  [tex]\frac{5}{8}[/tex]

⇒ x = ( [tex]\frac{5}{8}[/tex] × 4)

⇒ x = 2.5

Therefore, within 2.5 months, Rusty's hair will grow over  [tex]\frac{5}{8}[/tex] inches.

Learn more about linear equation here: https://brainly.com/question/18761688

#SPJ2

Alexis is 9 years old. Mariah is 7 years older than Alexis. Jake is 3 years younger than Mariah. What is the ratio of Alexis’s age to Jake’s age?


ITS EXPLAINING RATIOS!

Answers

Answer:

C

Step-by-step explanation:

Is (1,5) (9,12) (12,27) (19,33) a function?

Answers

Answer:

Yes

Step-by-step explanation; vertical line test!!! have a great day

(50 points) Use the spinner below. Show your work, making sure to simplify your answers. (Note: The smallest section of the circle is 1/16 of the circle.) 16. What is P(red, yellow, blue)? 17. What is P(orange, yellow)? 18. P(green, blue, purple)? 19. P(pink)? 20. P(red, orange, yellow, green, blue, purple)? Thank you!!

Answers

Answer:

I have the same questions and I got them right

Step-by-step explanation:

16. What is P(red, yellow, blue)?

P(red, yellow, blue)=  6/16= 3/8.

4/16+ 1/16+ 1/16= 6/16= 3/8

17. What is P(orange, yellow)?

P(orange, yellow)= 1/8

1/16+1/16= 2/16= 1/8

18. P(green, blue, purple)?

P(green, blue, purple)=  5/8

7/16+1/16+2/16= 10/16= 5/8.

19. P(pink)?

P(pink)=0

There is no pink color.

20. P(red, orange, yellow, green, blue, purple)?

P(red, orange, yellow, green, blue, purple)= 16/16= 1.

4/16+ 1/16+ 1/16+ 7/16+1/16+2/16 =16/16= 1.

What was the unconditioned stimulus (UCS) in the case of Little Albert?

A high chair
A rat
A loud noise
A small enclosed space
A dog

Answers

[tex] \LARGE{ \underline{ \tt{Required \: answer:}}}[/tex]

It was started by a scientist Ivan Pavlov who was a russian physiologist who started the Behaviorist movement in psychology.

During the experiment:

The loud noise is the unconditioned stimulus.The fear reaction is the unconditioned response.The white rat is our neutral stimulus.When the loud noise and the white rat are paired over time, the white rat becomes the conditioned stimulus.The Fear reaction to the loud noise the conditioned response.

Our Answer is:

Loud noise (Option C✓)

⛱️ [tex] \large{ \blue{ \bf{FadedElla}}}[/tex]

Solve for X.

14/20= 56/x
Please some helpp

Answers

Answer:

x=80

Step-by-step explanation:

X= 80
56 div. 14 = 4, so you multiply 20 and 4 to find the denominator of 56/x, therefore, the answer is X= 80

A regular polygon first maps directly onto itself after rotating 10 degrees. How many sides does the polygon have?

Answers

Answer:

I think it is 8.

Step-by-step explanation:

But I might be wrong.

Answer:

36 sides

Step-by-step explanation:

360 degrees divided by the number of sides equals the rotation degrees. So in order to have your polygon map itself after rotating 10 degrees, it would have to have 36 sides. 360/36 = 10.

7x + 14.7x^2 + 22
Standard form

Answers

Answer:

$7x+14.7x^2+22$

Step-by-step explanation:

Steps

$7x+14.7x^2+22$

Solve for x. -3-x-27>85

Answers

Answer:

x < -115

General Formulas and Concepts:

Pre-Alg

Order of Operations: BPEMDASEquality Properties

Step-by-step explanation:

Step 1: Define inequality

-3 - x - 27 > 85

Step 2: Solve for x

Combine like terms:                    -x - 30 > 85Add 30 to both sides:                  -x > 115Divide -1 on both sides:               x < -115

Here we see that any number x smaller than -115 would work as a solution.

There are 30 boys in a sporting club. 20 of them play hockey and 15 play volleyball. Each boys plays at least one of the two games. Illustrate the information on a Venn diagram. How many boys play all the two games. How many boys play only one game​

Answers

Answer:

5 boys play all the two games

25 boys play only one game

Step-by-step explanation:

Sets

There are two sets defined in the question: one for the boys who play hockey (H) and the other for the boys who play volleyball (V).

All the boys play at least one of the two games, so no elements are outside both sets.

There are 30 boys in total. 20 of them play hockey and 15 play volleyball. Since the sum of both numbers is greater than the total of boys, the difference corresponds to the boys who play both games.

Thus 20 + 15 - 30 = 5 boys play both games

Given that 5 boys are shared by both sets, from the 20 playing hockey, 15 play ONLY hockey. From the 15 boys playing volleyball, 10 play ONLY volleyball.

Thus 15 + 10 = 25 boys play only one game.

The Venn diagram is shown in the image.

Guys plz help answer this!!!!

Answers

the answer would be 2

What is 142/3 simplified
Help please!!!

Answers

Answer:

47.33

Step-by-step explanation:

I solved it on paper

Answer:

142/3 as a fraction cannot be divisible but 142/3 is equal to 47 1/3

Step-by-step explanation:

142/3=47.3333333

47.3333333333 = 47 1/3

I need help with this slope proplems

Answers

Answer:

Melissa = D

Victor = C

Step-by-step explanation:

Answer:

D, then C

Step-by-step explanation:

D because melissa needs money so x + 35 greater than or equal to is the best option

C because victor spent $20 before so 0.5x - 20 greater than or equal to 500 is the best option

A spinner with 9 equal sections is numbered 1 through 9. The probability of spinning a 3 is
What is the probability of not spinning a 3?
Enter your answer as a fraction, in simplest form, in the box.

Answers

Answer: The probability of spinning a 3 is 1/9

Step-by-step explanation:

If there are 9 equal sections, that means there is an equal percent chance for each number to be landed on. Since there are 9 pieces, the denominator would be 9. There's a 1/9 chance because it is 1 section out of 9.

Write the equation of the line that passes through the point (4.3)
and is PERPENDICULAR to the line y = 2x - 4.

Answers

Step-by-step explanation:

Firtsly we know that the slopes must be perpendicular, which means the equations slope would be

[tex] - \frac{1}{2} [/tex]

Now with the slope we can find the y-intercept, which is

[tex]1[/tex]

Therefore the equation is

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

In an isosceles triangle, if the measure of a base angle is 74°, what is the measure of the vertex angle?

Answers

32°

Step-by-step explanation:

Will GIVE BRAINILEST TO WHO ANSWERS
Subtract 9x^2+7x-29x 2 +7x−2 from 8x-108x−10.

Answers

Answer:

20x^2 - 107x - 10.

Step-by-step explanation:

8x - 108x - 10 - (9x^2 + 7x -29x^2)

simplifying:

-100x - 10 - (7x - 20x^2)

20x^2-100x - 7x - 10

20x^2 - 107x - 10

Answer:

−9x

2

+x−8

Step-by-step explanation:

Triangle A is mapped onto triangle A’

Answers

Answer:

What do you mean???

Step-by-step explanation:

Solve for n
2-2n=3n+172−2n=3n+17

Answers

Answer:

[tex]n = - \frac{170}{3} [/tex]

Ayan po ng answer sana makatulong

#carrying_learning

If m∠BEF = 100 and m∠CBE = 75, what is m∠DAG?

Answers

Answer:

m<DAG=25°

I want to explain why but I'm feeling too lazy right now. Basically by using vertical angles theorem and definition of congruent angles I solved it

Step-by-step explanation:

1 + 6x - x = -9
Does anyone know how to solve this ?

Answers

6x - x = 5x; 1 - -9 = -10. -10/5 = -2. -2 = x

He regular hexagon has a radius of 4 in. A regular hexagon has a radius of 4 inches. What is the approximate area of the hexagon? 24 in.2 42 in.2 48 in.2 84 in.2

Answers

Answer:

41.57 in²

Step-by-step explanation:

Answer:

41.57 in² round it up and it's 42

Step-by-step explanation:

I just did it

Brainliest pls

Classes
Evaluate the expression below if m= -7 and n = 2*
4\m - nl
Your answer
Evaluate the expression below if c = -1 and d = -4*
5c2 – d? + 3
2c - 4d
Your answer

Answers

The first one is 36 and the second one is -4/7 I believe


7. Refer to the diagram. The equilibrium price
and quantity in this market will be:
A $1.00 and 200
B. $1.60 and 200
C. $.50 and 130
D. $1.60 and 290

Answers

A. $1.00 and $200, where both lines meet in the middle is called the equilibrium price, this is where they make the most bang for their buck

Can someone please help me on this please?

Write the following decimals in base ten numerals.

A. 3,000 + 60 + 0.4 +0.002
B. One hundred seventeen and three-thousandths

Answers

Answer:

¯\_(ツ)_/¯

Step-by-step explanation:

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

¯\_(ツ)_/¯

The required solutions,
(A) Association of the given expression gives 3060.402.
(B) Conversion of the word form of number into digit form gives 1700.003.

What is decimal value?

Decimal value is defined as showing the place value of the digits in a decimal number. If any proportion of the digit is lower than 1 it would be represented after the dot right to the absolute value,

Here,
A. 3,000 + 60 + 0.4 +0.002
Simplify the above expression by the association of the numbers,
3,000 + 60 + 0.4 +0.002 = 3060.402

B. One hundred seventeen and three-thousandths
Convert words to numbers,
= 1700.003

Thus, the required solutions,
(A) Association of the given expression gives 3060.402.
(B) Conversion of the word form of number into digit form gives 1700.003.

Learn more about decimal values here,

brainly.com/question/19802955

#SPJ2

WHOEVER GETS THIS RIGHT GETS MARKED BRAINLIEST

find the area of the trapezoid below by decomposing it into familiar shapes

Answers

Answer:

The area would be 168ft. The rectangle's area would be 144ft, and the triangle's area would be 24ft.

Rectangle:

18×8=144

Triangle:

8×3=24

Answer:

The area is 168

Step-by-step explanation:

Instead of trying to find the area of the trapezoid, you can easily figure out the area of the rectangle and triangle present in the picture.

first, multiply 18 by 8 to get the area of the rectangle. 18 x 8 = 144

Then, use the equation for area of triangle L x W/ 2 = A

(6 x 8)/2 = 24

add these 2 values.

24 + 144

168 is your final  answer

what the slope of (-15,9) (-10,3) ​​​

Answers

The slope is - 3/10

Y over x

Answer:

The formula for slope:

[tex]y2-y1/x2-x1[/tex]

so[tex](3-9)/(-10--15)[/tex]

which is

this:[tex]-6/5[/tex]

so the slope is

this:    [tex]-6/5[/tex]

Hope this helps :D

4. Find each missing length to the nearest tenth.
3
7

Answers

i believe the answer 7.6

What is the equation, in slope-intercept form, for the line that passes through the point (2, −3) and is perpendicular to the line represented by y  =  25x + 4   ?​

Answers

Answer:

The equation is;

y = (-x-23)/25

Step-by-step explanation:

The equation of a straight line can be given as y = mx + b

where m is the slope and b is the y-intercept

for y = 25x + 4

m is 25

Now, we need the slope of a line perpendicular to this,

If two lines are perpendicular, the result of the product of their slopes is -1

m1 * m2 = -1

25 * m2 = -1

m2 = -1/25

Mathematically, we have the slope in the point slope form as ;

y+3 = -1/25 (x - 2)

y = -x/25 + 2/25

y = -x/25 + 2/25 - 3

y = -x/25 -73/25

Angel got paid $332.50. He had to pay income tax of 30%. How much money did he have left?​

Answers

Answer:

$232.75

Step-by-step explanation:

Because the tax takes 30% of his pay, he will be left with 70%.

Multiply his pay by 0.7 to get the answer:

332.50 * 0.7 = 232.75

Hope that helps! :D

Other Questions
What is the main tragedy that has befallen the Jewish people in the twentieth century? How has this tragedyshaped their worldview? A stone is dropped from a bridge 45 meters above the surface of a river. What is the time required for the stone to reach the waters surface? 2. A company making backpacks charges $39.99 for each backpack. It costs $12.55 to make each backpack. The company can make backpacks in multiples of 10 and there is $ 900 dollars in fixed costs. The company wants to make at least $ 3000 profit each week. A) If x represents the number of backpacks sold, write an expression to represent the total amount taken in by customers who buy the backpacks? B) If x represents the number of backpacks sold, write an expression to represent the cost that it takes to produce x backpacks before the fixed costs are taken into account. C) Write an inequality to represent the situations above. ( Selling Price of x backpacks minus cost of x backpacks minus fixed costs has to be greater than or equal to the profit) D) Draw a number line incremented in multiples of ten to represent the number of backpacks that must be sold to make$3000 dollars in profit. Considering the passage about crude oil, why is distillation the main process for separating the contents of crude oil? Crude oil is a homogeneous mixture. Crude oil is a heterogeneous mixture A major byproduct of crude oil is gasoline. Calculate the number of S atoms in 0.670 mole of S. how does superstation cause gender discrimination 1. An auto shop has 98 cans of oil at thebeginning of the day. 12 hours later,there are 10 cans remaining. Howmany were sold? Which variable is most Important. 32Show gred116-541 2345 63 -2 -111-5-6- x2. onsin - cos - tan-+ - X + / +log-e? 10-10nShow less POINTS, BRAINLY, 5 STARS Side -side -angles Angles-side-angels Angle -angle -sideAngle-angle-angelSide-angel-side Side-side-sideHypotenuse-legI need help I'll mark you brainiest if you help me write a correct expression Please answer for me. Will make you brainiest What is the equation, in slope-intercept form, of the line that is perpendicular to the given line and passes through the point (2, 1)? y = Negative one-thirdx One-third y = Negative one-thirdx Five-thirds y = 3x 3 y = 3x 7 Where do karst regions occur? Is the following picture an example of a chemical change or a physical change?SOMEONE PLEASE HELP ILL GIVE brainly A physical change, because the atoms are rearranging to form new molecules.A physical change, because the molecules are staying the same.A chemical change, because the atoms are rearranging to form new molecules.A chemical change, because the molecules are staying the same. President Woodrow Wilson's "Fourteen Points" agenda was designed tocreate the conditions for a lasting peace after World War I. The mostimportant point was the creation of a League of Nations, an internationalbody to resolve disputes among nations. However, the U.S. Senate, weary ofinternational involvement, refused to allow the United States to join theleague. As a result, the League of Nations was weaker than intended. Thedeadly consequences of this failure were apparent only a few years later,when World War II began. What is the main idea of this paragraph?A. The failure to create a strong League of Nations led to a worldwar.B. The United States became isolationist after World War I.C. The U.S. Senate and President Wilson did not see internationalissues the same way.D. President Wilson's administration was a failure because of thefailure of his Fourteen Points plan. The image shows particles of salt dissolved in water.How will the arrangement of salt particles most likely change?Salt particles will move toward the left through diffusion.Salt particles will move toward the left through active transport.Salt particles will move toward the right through diffusion.Salt particles will move toward the right through active transport. What two processes drive the motion of the plates?Question 1 options:gravity and radiationgravity and convectionpushing and pulling oppose the motion which says child labour should be a punishable offence Write the equation of a line with an x-intercept of 4 and a y-intercept of -3.