What is the image of the point (9, – 7) after a rotation of 270° counterclockwise
about the origin?

Answers

Answer 1

Answer:

The image if the point is (-7, -9)

Step-by-step explanation:

If The point (x, y) rotated about the origin by angle 90° counterclockwise, then its image is (-y, x)If the point (x, y) rotated about the origin by angle 180° counterclockwise, then its image is (-x, -y)If the point (x, y) rotated about the origin by angle 270° counterclockwise, then its image is (y, -x)

∵ The given point is (9, -7)

x = 9 and y = -7

∵ The given point is rotated 270° counterclockwise about the origin

→ By using the third rule above

∴ The image of the point is (y, -x)

→ That mean change the sign of x-coordinate, then switch them

∵ x = 9 and y = -7

The image if the point is (-7, -9)


Related Questions

Which of the following situations can be described by the equation 2x – 4 = 10?

Answers

Step-by-step explanation:

Add 44 to both sides.

2x=10+4

2x=10+4

2 Simplify 10+410+4 to 1414.

2x=14

2x=14

3 Divide both sides by 22.

x=\frac{14}{2}

x=

2

14

4 Simplify \frac{14}{2}

2

14

to 77.

x=7

x=7

Done

Find the​ x-intercept and the​ y-intercept of the graph of the equation 6x+2y=36

Answers

X intercept is 6 let y=0 to solve for x so 6x=36, so X=6. And Y is 18, let x = 0, 2y=36, Y=18

20 POINTS!
Which estimate best describes the area under in square units?

Answers

did you get it yet or

PLEASE HELP ME THIS IS FRACTIONS

A jewelry maker has 51 inches of chain. She wants to cut the chain into 9 equal parts. How long will each part be?

four and two ninths inches

five and six ninths inches

six and two fifths inches

seven and three ninths inches

Answers

Answer:

Five and six ninth inches

Step-by-step explanation:

There are 51 inches and 9 (people) want a chain so 51 divided by 9 is 5.666.

Answer:

B

Step-by-step explanation:

what is the volume of this figure ?

A) 3x2x6

B)6x8x2

C)8x2x3

D)3x2x8x6

Answers

Answer:

Step-by-step explanation:

since the hypotenuse of 6 cm is shorter than the base of 8 cm there is something wrong with this drawing.  The box can't be square so maybe answer C is good but.. since this box isn't a right angled box.. we really don't know.   This is a bad question b/c it's making the appearance of being a right angle but it can not be.  Like an Escher drawing..  not possible irl  

The volume of the rectangular prism is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

What is a rectangular prism?

It is defined as the six-faced shape, a type of hexahedron in geometry.

It is a three-dimensional shape. It is also called a cuboid.

The missing height of the rectangular prism is 3 cm

It is given that:

The rectangular prism is shown in the picture with dimensions.

As we know, the volume of the rectangular prism is given by:

V = length×width×height

Length = 2 cm

Width = 8 cm

Height = 3 cm

The volume of this figure:

V = 2×8×3

Or

The volume of this figure V = 8×2×3 cubic in

Thus, the volume of the rectangular prism or the volume of the figure is 8×2×3 cubic in or 48 cubics in option (B) 8×2×3 cubic in is correct.

Learn more about the rectangular prism here:

brainly.com/question/21308574

#SPJ2

maria pays 15.20 for 5.3 pounds of candy what is the price per pound of candy

Answers

Answer:

$2.90 per pound

Step-by-step explanation:

You must divide the total from the amount bought.

15.20/5.3 = 2.8679245283

Next, you round the number by the first 2 decimals.

2.86 = 2.90 - The answer

Check if you need to make sure the answer is correct

10 – 7w – 13 – 7w + 15

I need help plsss!

Answers

Answer:

12-14w

Step-by-step explanation:

PLEASE HELP I WILL GEIVE BRAINLIEST AND 20 POINTS Which are characteristics of scientific questions? Check all that apply.


asking about subjective matters

having a wide focus on many topics

addressing a gap in knowledge

possibly leading to a testable hypothesis

already having fully confirmed explanations

Answers

Answer: 3 and 4

Step-by-step explanation: I took the quiz

please helppp i’m on a time limit

Answers

Answer:

It is 3 because it is both in red and blue and that is the only section that shows it’s in both

Answer:3

It’s 3 I THINK sorry if this is late. Key word: think :,)

(-10,-7) (-8,1) find the distance between the two points show work.

Answers

Answer:

8.25

Step-by-step explanation:

(-10,-7) (-8,1) find the distance between the two points show work.

The formula for calculating the distance between the two points is expresses as;

D = √(x2-x1)²+(y2-y1)²

D = √(-8+10)²+(1+7)²

D = √(2)²+8²

D = √4+64

D = √68

D = 8.25

Hence the distance between the two points is 8.25

20.Les membres de la famille Veilleur sont en vacances, le premier pour, **
partent de Québec et vont a Montreal (250 km), puis au Parc proina
Sandbanks (385,8 km), en Ontario, ou ils passent les 4 jours sants. Ensuite,
ils quittent le parc pour se rendre aux chunes du Niagara (245 Akm), ou
passent le reste de la journée, le lendemain, la famille prend la roue vers
Pittsburgh (389km) afin de visiter des amis, elle y reste 5 jours en tout
(incluant la journée sur la route).
Pour rentrer à la maison, les Veilleux choisissent un kinéraire plus direct de
1 227 km qu'ils parcourent en 2 jours, en faisant la moitié du trajet chausse
jour. Leur voiture consomme en moyenne 6,7 L d'essence par 100 km, ale
cout moyen de l'essence est de 1,22S le titre. Tout au long du voyage, Charles
Veilleux note plusieurs informations dans son journal de bord,
Aide Charles à compléter son journal.
Journal de bord
Quantité totale d'essence consommée
(arrondie à l'unité pres)
Nombre de jours du voyage:
Distance parcourue pour aller à Pittsburgh:
coût total de l'essence:
Coût moyen de l'essence consommée
par jour (arrondi au centieme pres):
Distance parcourue par jour pour le retour:
Distance totale parcourue durant les vacances:​

Answers

Answer:

Quantité totale d'essence consommée:  167 litres (arrondie à l'unité pres)

Nombre de jours du voyage: 12 jours (je pense! Je ne comprends pas "jours sants" ? Suivants? )

Distance parcourue pour aller à Pittsburgh: 1269.8 km

coût total de l'essence: $ 204.11

Coût moyen de l'essence consommée par jour (arrondi au centieme pres): $17.01

Distance parcourue par jour pour le retour:  613.5 km

Distance totale parcourue durant les vacances:​ 2496.8 km

Step-by-step explanation:

Jour 1 Montreal à Parc Sandbanks

2,3,4,5 Parc Provincal Sandbanks

6,7,8,9,10  Pittsburgh

11,12 Pittsburgh à Quebec

Distance: ajouter les numéros jours par jour.

Essence consommée: 6.7 litres pre 100, donc diviser la distance totale par 100  puis multiplier par litres par km

2496.8/100 = 24.968 × 6.7 = 167.2856  et arrondir le total: 167.3

Coût total de l'essence: Il faut multiplier le total consommée par la coût par litre, $1.22  167.3×1.22 = $204.11

Coût moyen de l'essence consommée par jour:  $204.11 ÷ 12 jours = $17.01/jour

Distance parcourue par jour pour le retour: 1227km/2days = 613.5 km/jour

Distance totale parcourue durant les vacances:​ Ajoutez les distances journalières parcourues à Pittsburgh à la distance de retour  à Quebec.

1269.8 + 1227 = 2469.8 km

7207689984 !!!!!!!!!!!!!!

Answers

Answer:

838494393928262829292928288!!!!!!!!!!!!!!!$

Find giving your answer correct to 3 significant fig where necessary a. 60%of 850

Answers

Answer:

60% of 850 is 510

Step-by-step explanation:

A square of side 72 cm and a rectangle of length 90 cm have same perimeter. Find the difference in areas ?

A)216cm2
B)304cm2
C)324cm2
D)328cm2

Answers

Answer:

324 cm²

Step-by-step explanation:

→ Work out perimeter of square

72 + 72 + 72 + 72 = 288

→ Work out the width of the rectangle

288 - (90 × 2) = 108

108 ÷ 2 = 54

→ Work out area of square

72 × 72 = 5184 cm²

→ Work out area of rectangle

90 × 54 = 4860 cm²

→ Minus the areas from each other

5184 cm² - 4860 cm² = 324 cm²

Answer:

C) 324cm²

Step-by-step explanation:

1) they have the same perimeter so to find it you add all four sides of the square because they are all the same ( 72+72+72+72=288)

2) now you multiply 90 by 2 because the rectanglehas to sides of the same length(90×2=180) the answer you get you are going to subtract to 288 (288-180=108)

3) now divide 108 by 2 (108÷2= 54) the answer you get equals the width of the side of the rectangle

4) to get the area of the rectangle you multiply 54 with 90 (54×90=4,860) to get the area of the square you multiply 72 times 72 (72×72=5,184)

5) now you subtract 5,184 and 4,860 ( 5,184-4,860= 324cm²)


b) Draw the graph of y = 3x - 1
on the grid.

Answers

Step-by-step explanation:

b)

make it braintliest please

(8) Use the information in the diagram to determine the height of the tree. The diagram is not to scale. GEOMETRY

Answers

Answer:

D = 37.5

Step-by-step explanation:

Can someone please help! Its just Area so it should be pretty simple but I am stuck please help!

Answers

Answer:

3 and 7

Step-by-step explanation:

Help ASAP don't spam please, its about exponents

Answers

Answer:

A. FALSE

Step-by-step explanation:

pls mark me as brainliest

Answer: True

Step-by-step explanation:

The m∠4 = 5x - 3° and m∠5 = 3x + 17°. Find the value of x.

Answers

Answer:

why

Step-by-step explanation:

Which shows the image of rectangle ABCD after the rotation (x, y) - (-y, x)?

Answers

Answer:

hey lol

Step-by-step explanation:

it's the one on the right btw

At her restaurant .Yolanda open 285 cans of tomato sauce .She need to use 4 can of for one pan of lasagna how many pans of lasagna could yolanda make if she uses all if she all the cans what is the answer in a mixed numder

Answers

Answer:

71 1/4 pans of lasagna

Step-by-step explanation:

4 cans of tomato sauce = 1 pan of lasagna

285 cans of tomato sauce = x pan of lasagna

4 = 1

285 = x

Cross product

4*x = 285*1

4x = 285

x = 285/4

x = 71 1/4 pans of lasagna

(1 1/8 + 1/8) - 5/4

A -1
B 0
C 5/8
D 4/5

Answers

9514 1404 393

Answer:

  B  0

Step-by-step explanation:

Converting all of the fractions to eighths, we have ...

  (9/8 +1/8) -10/8

  = 10/8 -10/8

  = 0

Answer: 0

Step-by-step explanation:

The area of a square mural pointed on the side of a building is 110 square feet. What is the best estimate of the side length of the mural?

A.10 Feet
B.10.2 Feet
C.10.5 Feet
D.10.8 Feet

Answers

Answer:

C

Step-by-step explanation:

Area of a square equals to the square of its side, therefor the side of a given area for a square is the square root of the area.

[tex]A = a^{2}\\a = \sqrt{A}\\a = \sqrt{110} = 10.48 ft[/tex]

What is the answer to
1. b+4=2b-5
2. -6-29=5x-7
3. 10h+12=8h+4
4. 7a-17=4a+1

Answers

Answer:

b=9

(assuming you meant -6x) x = -2

h = -4

a = 6

Step-by-step explanation:

SOMEONE HELP ASAP IM BEGGING U PLEASE !!

Answers

Answer:

I believe it is yes because he is correct

He is incorrect; it should be +40. move 2y over to the opposite side of the equation, then divide both sides by 2.

If 6% of a number is 1.32 what is the number?

Answers

6% of 22 is 1.32

i hope this helps (:

Answer:

To find this number, you must know the conversion rate between percentages and decimals. If 100% = 1, then 6% will equal 0.06. The oppisite of multiplication is division, so instead of multiplying the number my 0.06, you have to divide it which gives you 22. And if you multiply that number by 0.06, you get 1.32.

Hope that helped!

19. Find the equation of the line that contains the given points. Write the equation in slope-
intercept form, if possible.
(-5,-5) and (1,7)
Please solve step by step

Answers

Answer:

y = 2x +5

Step-by-step explanation:

1. use slope intercept for y2 - y1 / x2 - x1 --> 7-(-12) / 1-(-5)

2. solve --> 7-(-12) / 1-(-5) = 2

3. put in slope (2) and a coordinate into equation --> y = mx + b --> 7 = 2(1) + b

4. solve --> 7 = 2(1) + b --> b = 5

5. put the equation together --> y = 2x + 5

Can anyone help please this question!

Answers

Answer I blive is is 8

Step-by-step explanation:

WRITE AN EQUATION THAT MODELS EACH STATEMENT :
John is five years more than twice as old as his sister :

Answers

Step-by-step explanation:

Take John's sister's age as "x"

So, so twice his sister's age means = 2x

And 5 years more, means = 2x + 5

So finally John's age = 2x + 5

Answer:

y=2x+5

Step-by-step explanation:

Lisa is 14 years old. Her age is
two sevenths of her father's age.
How old is Lisa's father?

Answers

Answer:

49 years old

Step-by-step explanation:

14 = 2/7

14 divided by 2 = 7

7 x 7 = 49

Answer:

49

Step-by-step explanation:

Other Questions
Simplify the expression by combining like terms.3.6x+5.92.21.7xEnter your answer as an expression, like this: 42x+53 What is the Process of Weathering? (Explain in your words?) Given the conditional statement ~p q, which statement is logically equivalent? A. p ~q B. ~p ~q C. ~q ~p D. ~q p is it possible to draw a triangle with numbers 5,6,11 The math clubs car can travel 9 meters in a second. The race track for the soap box derby is 63 meters long. How many seconds will it take the Math clubs car to make it around the track how will you prove that a piece of stone occupies space 2. Are these ratios equal? 6:10 and 5:20 whats the equation? Tanner's employer pays 60% of his medical insurance. If the insurance costs $40per week. How much Tanner and his employer pay for the entire year? HELP HELP HELP!!!!! Please help! Choose all the right answers.Choose all of the sentences that have BOTH more than one subject AND have the correct subject-verb agreement.They try to do well.He tries to do well.Does the girls study?Do the girls study? A boat is drifting to the right with a speed of 5.0 m/s when the driver turns on the motor. The motor runs for 6.0 seconds causing a constant leftward acceleration of magnitude 4.0 m/s squared. What is the displacement of the boat over the 6.0 second time interval? What is Old Majors solution to the animals misery? Animal Farm Chapter 1. How many cups are in 16 quarts? 1 quart = 4 cups In NOP, \overline{NP} NP is extended through point P to point Q, \text{m}\angle NOP = (3x+8)^{\circ}mNOP=(3x+8) , \text{m}\angle PNO = (2x+9)^{\circ}mPNO=(2x+9) , and \text{m}\angle OPQ = (8x-16)^{\circ}mOPQ=(8x16) . What is the value of x?x? Part-BVIII. You had the most difficult examination today, but you did iteasily and are happy about it. Write a diary entry about it in about100-120 words. Remember to mention the subject and the initialanxiety you had felt prior to the paper.(5 marks) An auditorium has 962 seats. There are 37 rows, each with the same number of seats. How many seats are in each row? Can the exponent in the denominator be subtracted from the exponent in the numerator when the based are different? Explain what is the condition of the poor of the poem the man with a PLEASE HELP FAST FAST FAST Use the interactive number line to graph the inequality -1 x.