Rotation 180° about the origin

Rotation 180 About The Origin

Answers

Answer 1

Answer:

Step-by-step explanation:

to rotate about origin by 180 °  also means to  change ( x, y) ⇔( -x,-y)

the double arrows just mean to change into.. or "transform"  ( I think that there might have even been a movie about this,   called   "transformers" :D JK)

T=( -2, 1)

S = ( -4, 3)

R = ( -5, -2)

use the transform  ( x, y) ⇔( -x,-y)

T' = (2,-1)

S' = ( 4, -3 )

R' = (5 , 2 )

if you draw this on a piece of graph paper, you'll see it's the triangle spun 180 °  around the origin  :)


Related Questions

Carlos bikes 2 1/2 miles in 1/4 hours. At that rate, find the number of miles he would bike in 1 hour.
A. 5/8 miles
B. 2 3/4 miles
C. 5 miles
D. 10 miles

Answers

Answer: 10

Step-by-step explanation:

2.5 times 4

A dressmaker needs to cut 9-inch pieces of ribbon from rolls of ribbon that are 9 feet in length. How many 9-inch pieces can the dressmaker cut from 10 of these rolls of ribbon?
Before you try that problem, answer the question below.
How many \textbf{inches}inches of ribbon does the dressmaker have, in total?

Answers

Answer: 12

Step-by-step explanation:

There are 108 inches in 9 feet and then you divide 108 by 9

Draw the line of reflection that reflects △ABC onto triangle Δ A'B'C'

Answers

The line for the graph x=1 is the line of reflection that reflects triangle ABC onto triangle A'B'C'.

You have to find the middle points between each pair of identical points and then join them.

The solution is, x = 1 will be the line of reflection.

What is reflection?

In mathematics, a reflection (also spelled reflexion) is a mapping from a Euclidean space to itself that is an isometry with a hyper plane as a set of fixed.

here, we have,

from the given information , we get,

Coordinates of the vertex A → (-4, -6)

Coordinates of the vertex A' → (6, 6)

Since, y-coordinates are same opposite in notation,

Therefore, by the rule of reflection, line of reflection will be a line parallel to y-axis.

And points A and A' will be equidistant from the line of reflection.

Midpoint between A and A' = (x1+x2/2) , (y1+y2/2)

                                             = (-4+6 / 2 , -6+6 /2)

                                             = (1, 0)

Therefore, x = 1 will be the line of reflection.

To learn more on reflection click:

brainly.com/question/15487308

#SPJ2

EASY Work!! Please look at the picture and yes it’s easy for other people but not me for people asking.

Answers

Answer:

7()=11

8()=42

I could barely see the answer for number 9 sorry :(

Step-by-step explanation:

the 7() is 2(3)+5

2(3)=6

6+5=11

Question (8)

c^2+3a x b

c(6)^2+ 3(3) x 2/3

36+9 x 2/3

36+6=42

Answer:

(7)=11

(8)=42

Step-by-step explanation:

here

Given that triangle ABC ~ XYZ, AB= 4,XY=3,and XZ= 5, find AC

Answers

Answer:

[tex]AC = \frac{20}{3}[/tex]

Step-by-step explanation:

Given

[tex]AB = 4[/tex]

[tex]XY = 3[/tex]

[tex]XZ = 5[/tex]

Required

Find AC

ABC XYZ

To solve AC, we make use of the following equivalent ratios.

[tex]AB : AC = XY : XZ[/tex]

This gives:

[tex]4 : AC = 3 : 5[/tex]

Express as fraction

[tex]\frac{4 }{ AC }= \frac{3 }{ 5}[/tex]

Cross multiply

[tex]3 * AC = 4 * 5[/tex]

[tex]3 * AC = 20[/tex]

Solve for AC

[tex]AC = \frac{20}{3}[/tex]

A study conducted to measure the academic performance and attention span of teenagers reported that the mean time to distraction for 80 teenage boys working on an independent task was 6.2 min in the study with a sample standard deviation of 2.1 minutes. Is there convincing evidence that the average attention span for teenage boys is more than 5 minutes

Answers

Answer:

we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes

Step-by-step explanation:

H0 : μ ≤ 5

H1 : μ > 5

Sample mean, xbar = 6.2

Sample Standard deviation, s = 2.1

Sample size, n = 80

The test statistic :

(xbar - μ) ÷ (s/sqrt(n))

(6.2 - 5) ÷ (2.1 / sqrt(80))

1.2 ÷ 0.2347871

Test statistic = 5.1110133

Testing with α = 0.05

Using Pvalue from a test score calculator :

Pvalue = < 0.00001

0.00001 < 0.05

Since,

Pvalue < α ; We reject H0

Hence, we can conclude that there is significant evidence that there is convincing evidence that the average attention span for teenage boys is more than 5 minutes.

Please find the square roots of the following complex number.

[tex]z = 81(\cos(\frac{4\pi}{9})+i\sin(\frac{4\pi}{9}))[/tex]

Answers

Hey there,

First, find the square root of the given equation.

[tex]\sqrt{z}=\sqrt{81(\text{cos}(\frac{4\pi}{9})+i\text{sin}(\frac{4\pi}{9})}\\=9\text{cos}\frac{1}{2}(2k\pi+(\frac{4\pi}{9}))+i\text{sin}\frac{1}{2} (2k\pi+(\frac{4\pi}{9}))[/tex]

Keep in mind that this is solved for k = 0 and 1.

Second, simplify.

[tex]=9\text{cos}(\frac{2\pi}{9})+i\text{sin}(\frac{2\pi}{9})~\text{or}~9\text{cos}(\frac{11\pi}{9})+i\text{sin}(\frac{11\pi}{9})[/tex]

Best of Luck!

The 7% sales tax on a new $32,000 car.

Answers

Answer:

$34,240

Step-by-step explanation:

7% of $32,000 is $2,240

$32,000+$2,240=$34,240

A young sumo wrestler decided to go on a special high-protein diet to gain weight rapidly. When he started his diet, he weighed 79.5 kilograms. He gained weight at a rate of 5.5 kilograms per month.
Let y represent the sumo wrestler's weight (in kilograms) after x months.
Which of the following could be the graph of the relationship?
Choose 1 answer:

Answers

Answer:

It's the graphic A.

,,,,,,

plssss help i just need the answer

Answers

Answer:

x=19

HOPE THIS HELPS

-Todo <3

Step-by-step explanation:

6x+3x-5+14=180

9x+9=180

   -9    -9

9x=171

/9   /9

x=19

I need help please help

Answers

Answer:

132.67 ft^2

Step-by-step explanation:

this sector's area equals the area of the whole circle divided by four;

the whole are = r x r x 3.14 = 13 x 13 x 3.14 = 530.66

the sector's area = 530.66/4 = 132.67 ft^2

Find the volume of the composite solid.
4 ft
3 ft
6 ft
13
6 ft

Answers

Answer:

156 ft³

Step-by-step explanation:

Volume of the composite solid = volume of the square prism + volume of the square pyramid

Volume of rectangular prism = a²h

a = 6 ft

h = 3 ft

Volume = 6²*3 = 36*3

Volume = 108 ft³

Volume of square pyramid = ⅓(a²*h)

a = 6 ft

h = 4 ft

Volume = ⅓(6²*4) = ⅓(36*4)

Volume = 48 ft³

Volume of the composite solid = 108 + 48 = 156 ft³

this is exactly what the question says:
"Solve the following system of equations."
-5x+3y=22
-6x+7y=23
I have to figure out x and y​

Answers

Answer:

x = - 5, y = - 1

Step-by-step explanation:

Given the 2 equations

- 5x + 3y = 22 → (1)

- 6x + 7y = 23 → (2)

Multiplying (1) by - 6 and (2) by 5 , then adding will eliminate the x- term

30x - 18y = - 132 → (3)

- 30x + 35y = 115 → (4)

Add (3) and (4) term by term to eliminate x

0 + 17y = - 17

17y = - 17 ( divide both sides by 17 )

y = - 1

Substitute y = - 1 into either of the 2 equations and solve for x

Substituting into (1)

- 5x + 3(- 1) = 22

- 5x - 3 = 22 ( add 3 to both sides )

- 5x = 25 ( divide both sides by - 5 )

x = - 5

I will mark u brainalist

Answers

Answer:

C

Step-by-step explanation:

The cost of 5 notebooks (5x)

Less than (<)

The cost of 3 notebooks (3x)

Plus a 2 dollar pen (2)

All together: 5x < 3x + 2

Matches with the given expression.

Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = x + 16/x , [0.2, 16}

Answers

Find the stationary points.

f(x) = x + 16/x

f '(x) = 1 - 16/x ²

Solve f '(x) = 0.

1 - 16/x ² = 0   →   x ² = 16   →   (x - 4) (x + 4) = 0

→   x = -4, x = 4

Check the value of f at the stationary points. x = -4 is not in the provided domain so we can omit it.

f (4) = 8

Check the value of f at the boundary of the domain.

f (0.2) = 401/5 = 80.2

f (16) = 17

Then over [0.2, 16], we have max(f ) = 401/5 and min(f ) = 8.

Can y’all help me on question four?!

Answers

Answer:

I believe the answer is B

Step-by-step explanation:

Work for E and F- 20/50=20X2=40                40 divided by 100 is 40%

                                          50X2=100               and 40/100

the answer I got is c.$1750

Can y’all help me on question 25

Answers

I think it’s C
Sorry if it’s wrong
I think it’s d sorry if It wrong

Help, my daughter is learning about finding lengths of unknown sides. I have no idea how to help on these three homework problems that are due by tomorrow. 4th grade

Answers

BC = 4
GE= 23
QR = 7
TR = 11
BD = 22
FG = 6

explanation: you have to look at the numbers at the opposite side of where it’s asking, for example the first one; on the opposite side of BC it’s 12 and other side is 8 and you have to find the space in between so to find BC you would have to subtract 12-8 and you’ll get 4
basically a bunch of subtraction and addition, just look at the numbers on the opposite side. hope this helps !

Write an equation of a line that has a slope of 3/4and passes through point (8,7)

Answers

To answer this go to the guys link on top

In a recent survey, 15 skydivers said that they have never had a skydiving accident. This was 60% of the total number of skydivers that were surveyed. What was the total number of skydivers surveyed?

Answers

Answer:

total sky divers is 25

Step-by-step explanation:

60% = 15 skydivers

divide by 6 both sides

10% = 2.5

times by 4 both sides

40%=10

_________

60%+40%=100%

15+10=25

how many 1/3 inch cubes does it take to fill a box with width 2 2/3 inches length 3 1/3 inches and height 2 1/3 inches

Answers

Answer:

560/9 or around 63 cubes

Step-by-step explanation:

2 2/3 -> 8/3

3 1/3 -> 10/3

2 1/3-> 7/3

7/3 x 8/3= 56/9

56/9 x 10/3 = 560/27

560/27 divided by 1/3

= 560/9

Evaluate 4x – 3 for x = -2.


Answers

Answer: -11

Step-by-step explanation:

4(-2)-3

-8-3

=-11

It’s -11 I’m not sure but hope it help

Part B and #2 please 15 points

Answers

Answer:

See answers below

Step-by-step explanation:

Perimeter of a square = 4L

L sis the side length of the square

L = 5x^4y^2

perimeter = 4(5x^4y^2)

perimeter = 20x^4y^2

2) Length = 6x-10

Width = 4x+3

Area of rectangle = Length * Width

Area of rectangle = (6x-10)(4x+3)

Area of rectangle = 24x^2+18x-40x-30

Area of rectangle= 24x^2-22x-30

perimeter = 2(L+W)

perimeter 2(6x-10+4x+3)

perimeter = 2(10x-7)

perimeter  = 20x-14

Hence the perimeter of the rectangle is 20x-14

Help plsssjsnsnsnsnndndndndnfnfnfnnffnnccnncncncnfnf

Answers

9514 1404 393

Answer:

  A)  3x +10y = 36

Step-by-step explanation:

The graph tells us the x-intercept is 12. The x-intercept is the value of x when y = 0. For some equation coefficients ax+by=36, the x-intercept is ...

  x-intercept = 36/a

Then the coefficient 'a' is ...

  a = 36/(x-intercept) = 36/12 = 3

Only one answer choice has an x-coefficient of 3 -- the correct one.

  3x +10y = 36

Solve for a.
−10 = 1/5 a


Solve for n.
3(n – 8) = -12



Solve for x.
8 + 4x = -16






• You order 4 chicken sandwiches and a hamburger. The cost of a hamburger is $2.50 and the total bill is $14.30. Find the cost of a chicken sandwich
part 1 of the word problem
Verbal Model:

part 2 of the word problem
Algebraic Equation:

please with all equations show your work.

Answers

Step-by-step explanation:

for the first one multiply the equation by 5

5(-10)=5(1/5)a

-50=a

2.  3(n-8)=-12

divide the equation by 3

(3(n-8))/3=-12/3

(n-8)=-4

add 8 to both sides

n-8+8=-4+8

n=4

3.   8+4x=-16

subtract the whole equation by 8

-8+4x=-16-8

4x=-24

divide the equation by 4

4x/4=-24/4

x=-6

4. 4 chicken sandwiches at $2.50 each, to find the value of all the values for all 4 sandwiches is 4(2.50)=10

and since there is only one hamburger you just need to find the value for the one burger which is x.

4(2.50)+1(x)=14.30

10+x=14.30

subtract the equation by 10

10-10+x=14.30-10

x=4.30

Hope this helps :)

Answer:

thanks Thankyou for points ty ty

Please answer this :/

Answers

Answer:

-60

Step-by-step explanation:

-45+s=-105

s=-105+45

s=-60

Solve the equation for x: 126 = 3x.
A. x = 378
B. x = 129
C. x = 123
D. x = 42

Answers

Answer:

The answer is answer D, x=42.

Step-by-step explanation:

To isolate the variable, you need to divide both sides of the equation by three, using the division property of equality. 126/3=42 , and 3x/3=x , this gives you 42=x, or x=42, meaning the answer is D.

Plz help ASAP WILL MARK U BRAINIEST

Answers

Hope this helps I tried to put the arrows where the answer goes

What is the product?

One-third times 33.99

Answers

Answer:

11.33

Step-by-step explanation:

um I'm not that good at explaining but...

33/3=11

99/3=33

put it together

11.33

please answer !! will give brainliest

Answers

Answer:

7.10 I think its 7.10

Other Questions
Help ASAP!! Use IMAGE!! Which of the following lines contains a metaphor?When in disgrace with fortune and mens eyes,Hope springs eternal in the human breast.The old lie.Busy old fool, unruly Sun, what does it mean to evaluate an expression in 5th grade How many moles are in 297g of nh3?Please show work, will give brainliest. what is the positive of 65 million pls help 20=c/5can you show your work thanks Someone help me I need this one fast The adun koro, a ritual object created for festivals in Africa during the early modern period, shows the influence of _____ in art.A. hierarchy B. AnimismC. Government D. Wealth Carlos mixed \dfrac4{15}\text{ L} 15 4 Lstart fraction, 4, divided by, 15, end fraction, start text, space, L, end text of chocolate syrup with \dfrac12\text{ L} 2 1 Lstart fraction, 1, divided by, 2, end fraction, start text, space, L, end text of milk. Determine a reasonable estimate of the total amount of liquid Carlos mixed Read this excerpt from A Black Hole Is NOT a Hole.Certain things are invisible to us because our eyes just can't sense them. You don't see beams of infrared light shooting across the room from your remote control to the TV, for example, or radio waves streaming off everyone's cell phone.Which statement best identifies the description in this excerpt?The author gives examples of people who use cell phones.The author describes different features of TV remote controls.The author gives examples of things our eyes cannot see. The author describes a feature of infrared light beams. I need help finding the slope You are the VP of Marketing at Stauffer Foods and you learn that the puddings packaged desserts line from General Foods (GF) is available for acquisition. This division produces successful products like Pudding Pops, Instant Pudding, and Pudding in a Cup. You make some of assumptions about this line. Which assumption would you not make what kind of lighting is best suited for a regular scene that is neither too upbeat nor too dramatic Which has the higher kineticenergy: a 195 g bird lying at 17 m/sor a 2.7 kg cai walking at 2 m/s2BRAINLIST ANSWER PLEASE HELP Theocracy can best be described as which of the following statements?O Government where there is no power with the peopleO A government structure that is not recognized by the modern worldGovernment where the power lies with the peopleA government whose power lies in the religious leaders of the country - rules based on religionGovernment that has a specific leader(s) who make decision Car B is rounding the curve with a constant speed of 54 km/h, and car A is approaching car B in the intersection with a constant speed of 72 km/h. The x-y axes are attached to car B. The distance separating the two cars at the instant depicted is 40 m. Determine: If a=3 and b=7, find the value of5a (100 POINTS) Read the following statements.1. It is common for people to make excuses for hateful humor.2. Humor is always an important part of people's relationships.3. It is not easy to tell the difference between good and bad humor.4. People should not let others get away with telling hateful jokes.Which two statements are MAIN ideas of the article? Driving is expensive. Write a program with a car's miles/gallon and gas dollars/gallon (both doubles) as input, and output the gas cost for 20 miles, 75 miles, and 500 miles. Output each floating-point value with two digits after the decimal point, which can be achieved by executing cout What citizens does abortion impact the most?-geographic location -socioeconomic status -age-gender-race Which song would you describe as a powerful multicultural song?