Rotate shape A 180° with centre of rotation (3,-1). What are the coordinates of the vertices of the image?

Answers

Answer 1

The coordinates of the vertices of the image after rotating shape A 180° with centre of rotation (3,-1) are as follows :Vertex A' : (4,-3)Vertex B' : (-1,-1)Vertex C' : (-2,-4)

To rotate a shape in the Cartesian plane, you need to know the centre of rotation and the angle of rotation. Here, the centre of rotation is given as (3,-1) and the angle of rotation is 180°.To rotate a shape 180° about the centre of rotation, we need to find the mirror image of the shape about the line passing through the centre of rotation. This mirror image will be the required image. We can find the mirror image by simply negating the x and y coordinates of each point with respect to the centre of rotation.

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Related Questions

A square has an area of approximately 500 square feet. Which of the following would be the most reasonable estimate of the length of the side of the square?

Answers

Answer:

22.36

Step-by-step explanation:

22.36 X 22.36 =(Approx) 500 feet2

DONT DO PART C you do not need to do that one i only need help on A and B please.

Answers

Answer:

see explanation

Step-by-step explanation:

Given the 2 equations

x - y = 5 → (1)

4x + y = - 10 → (2)

Rearrange (1) expressing y in terms of x

(a)

y = x - 5 → (3)

Substitute y = x - 5 into (2)

4x + x - 5 = - 10

5x - 5 = - 10 ( add 5 to both sides )

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

x = - 1

Substitute x = - 1 into (3) for corresponding value of y

y = - 1 - 5 = - 6

(b)

As a check

Substitute x = - 1, y = - 6 into the left side of the 2 equations and if equal to the right side then they are the solution

(1 ) x - y = - 1 - (- 6) = - 1 + 6 = 5 ← True

(2) 4x + y = 4(- 1) + (- 6) = - 4 - 6 = - 10 ← True

Thus solution is (- 1, - 6 )

What is the solution to the system of equations below?
y = 5x+6 and Y--x-4

Answers

Answer:

the answer is number ten!!!!!!!!!!!!

Step-by-step explanation:

factors of -135 that equal to -7

Answers

Answer:

Need more information.

Step-by-step explanation:

Solve the following equation. Show all work and check your answer: 5j=625?

Answers

Answer:

j = 125

Step-by-step explanation:

All you do is take 625 divided by 5 to get 125. Replace j for 125 to get 625 so j is equal to 125.

Eloise bought 12 grapefruits. Each grapefruit weighed 0.52 pound.

How many pounds of grapefruits did Eloise buy?

Answers

Answer:

6.24 pounds

Step-by-step explanation:

12 x .52 = 6.24 pounds

Answer:

The answer would be 6.24lb

Step-by-step explanation:

I took the k12 test

choose the graph that solves system of equations.y=2x-6 y=-4x+3

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Please find the measure of angle F

Answers

Answer:

98º

Step-by-step explanation:

HELP I NEED HELP ASAP

A population of mice grows at a rate of 7% each year. Which function, f(t), could represent the total number of mice after t years?

Answers

Answer:

B

Step-by-step explanation:

As it is mentioned in the question that the mice grows at a rate of 7%, it would be answer B. Hope this helps, thank you !!

Aşağıdaki parçaların hangisinde öyküleyici bir anlatım vardır

A)Kitap; noktalama işaretleri ile ilgili çeşitli tespitlere tespitlerden sorunlara sorunlardan çözümlere çö-



9.SINIF SALLAMAYIN DEVAMI FOTODA​

Answers

Answer:

I would love to help, Could you put the question in EnglisStep-by-step explanation

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Determine whether the data described in the tables is best modeled by a linear function or an exponential function

Answers

Answer:

oak tree is a linear function and birch tree is exponential

Step-by-step explanation:

cuz i just did it

The oak tree have a liner function and the birch tree have exponential function .

What is linear function?

Linear functions are those whose graph is a straight line. A linear function has the following form. y = f(x) = a + bx. A linear function has one independent variable and one dependent variable. The independent variable is x and the dependent variable is y.

What is exponential function?

An exponential function is a mathematical function of the following form:

f ( x ) = [tex]a^{x}[/tex]. where x is a variable, and a is a constant called the base of the function. The most commonly encountered exponential-function base is the transcendental number e , which is equal to approximately 2.71828.

According to the question

The number of branches of an oak tree and a birch tree since 1950 are represented by the following tables:

Number of Oak trees (x)                       Number of branches  f(x)

0                                                                     34

3                                                                     46

6                                                                    59

9                                                                    70

12                                                                   82  

So in this table we can see that there is increment in number of branches but in a pattern approx.

i.e

f(x) = 34 + 4(x)

where x will be Number of Oak trees

therefore it is a Linear function

Number of Birch trees (x)                         Number of branches f(x)

0                                                                       8

10                                                                    33

20                                                                   128

30                                                                   512

40                                                                 2049  

So , in this table is increasing in a very fast pace but in a pattern approx.

i.e

f(x) = [tex]8*4^{\frac{x}{10} }[/tex]

Therefore it is an exponential function

Hence, The oak tree have a liner function and the birch tree have exponential function .

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plz i need help hurry
and how do you mark brainliest

Answers

Answer:7 times 3.14=21.98

Step-by-step explanation:click the crown at the bottom of my answer

Answer:

43.98

Step-by-step explanation:

arc length =2* pie * r

9) 5xy+10x ??????????????????

Answers

Answer:

5x(y+2)

Step-by-step explanation:

Answer:

You cannot add them because they both don't have the same like terms.

But if you just straight out add your answer would either be 15xy or just 15x

Step-by-step explanation:

Sorry hope this helped in someway

9 - x < -11 lololol help

Answers

Answer:

Hey! Your answer is , x >20

Step-by-step explanation:

Hope this helps! :)

Have a nice day!

Trapezoid KLMN has vertices K(1, 3), L(3, 1), M(3, 0), and N(1, −2).



Is this trapezoid an isosceles trapezoid?



Select from the drop-down menu to correctly complete the statement.



Trapezoid KLMN
is not
an isosceles trapezoid.

Answers

Answer:

Yes, the trapezoid is an isosceles trapezoid.

As the diagonals of the trapezoid KLMN are not equal in length it is not an isosceles trapezoid.

What is the area of a trapezoid?

The area of a trapezoid is the average length of the parallel sides times the height.

We know isosceles trapezoids have equal legs length and diagonals are also of the same length.

Given a trapezoid KLMN with verticies  K(1, 3), L(3, 1), M(3, 0), and N(1, −2).

∴ KM and LN are two diagonals of the trapezoid and if KM = LN then it is an isosceles trapezoid.

To determine if KM and LN are equal or not we'll simply use the distance formula which is,

D = [tex]\sqrt{(x_2-x_1)^2 + (y_2 - y_1)^2}[/tex].

∴ KM = [tex]\sqrt{ (3 -1)^2 + (0 - 1)^2}[/tex].

KM = [tex]\sqrt{ (2)^2 + (-1)^2}[/tex].

KM = [tex]\sqrt{5}[/tex].

And LN = [tex]\sqrt{ (1 -3)^2 + (-2 - 1)^2}[/tex].

LN = [tex]\sqrt{ (-2)^2 + (-3)^2}[/tex].

LN = [tex]\sqrt{ 4 + 9}[/tex].

LN = [tex]\sqrt{13}[/tex].

∴ KM ≠ LN hence diagonals are not equal.

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9. Jude deposited $550 into an account that
earns simple interest, and after 11 years, the
interest in the account was $484. What was
the simple interest rate?

Answers

Answer:

8% interest rate

Step-by-step explanation:

step-by-step explanation: intrest = 484

You are baking cookies for a bake sale. It takes 30 minutes to mix the cookie dough and 10.5 minutes to bake a sheet of cookies. The total time can be modeled by t(x) = 10.5x+30, where x is the number of sheets of cookies baked. a. Graph the function and identify its domain and range. b. Find and interpret the value of x so that t(x) = 114.

Answers

10.8571 should be the approximate answer

Need help ASAP
Thankss + BRAINLIST only for correct answer

Answers

Answer:

(2, 0)

Step-by-step explanation:

Given the simultaneous equation

2x-y = 4

3x+y = 6

Add both equation

2x+3x = 4 + 6

5x = 10

x = 10/5

x = 2

Substitute x = 2 into equation 1

From1 ;

2x-y = 4

2(2) - y = 4

4 - y = 4

y = 4-4

y = 0

Hence the solution to the system of equation is (2, 0)

Maria had 6 feet of ribbon. She will cut the ribbon into pieces that are 2/3 of a foot long. How many pieces of ribbon will Maria have?please solve!

Answers

Answer:

2/3 x 9 = 18 divided by 3 = 6

answer is 9

I need help please first answer will get brainliest

Answers

Answer:

Mean- 14.5

Median- 15.5

Interquartile Range- 7.5

Step-by-step explanation:

The mean is a type of average. It is the sum (total) of all the values in a set of data.

The median is the middle number in a sorted, ascending or descending, list of numbers.

The interquartile range describes the middle 50% of values when ordered from lowest to highest.

3(x+5)+3(x+5) help! Please

Answers

Answer:

=6x+30

Step-by-step explanation:

happy to help ya :)

HELP ASAP
Will GUVE BRAINLIEST!!

Jayla and Brian are both selling cookie dough for a fundraiser. Although, Jayla has already sold 4 tubs, brian haven’t sold any yet. If jayla starts selling 1 Tun per day and brian begins selling 2 tubs per days, they will eventually sell the same amount of cookie dough, how many days will that take?

Write the expression. And solutions written as an ordered pair.

Answers

Answer:

cookie dough fundraiser is a great way to raise money for your school, team, ... selling large or small cookie dough tubs, or pre-portioned cookie dough trays.

Answer:

4 days

Step-by-step explanation:

If we say d = number of days passed, j = tubs sold by jayla and b = tubs sold by brian

j = 4 + d

because when d = 0 j must equal 4, then it goes up by 1 each day

b = 2d

because when d = 0 b must be 0, then it goes up by 2 each day

set them to be equal and solve for d

4 + d = 2d

d = 4

so after 4 days they sell the same amount which is 8

How to solve this system of equations?

y = 7x + 10
y = -4x - 23

x=
y=

Answers

Answer:

I love algebra anyways

The ans is in the picture with the  steps how i got it

(hope this helps can i plz have brainlist :D hehe)

Step-by-step explanation:

Answer:

x = - 3, y = - 11

Step-by-step explanation:

Given the 2 equations

y = 7x + 10 → (1)

y = - 4x - 23 → (2)

Substitute y = 7x + 10 into (2)

7x + 10 = - 4x - 23 ( add 4x to both sides )

11x + 10 = - 23 ( subtract 10 from both sides )

11x = - 33 ( divide both sides by 11 )

x = - 3

Substitute x = - 3 into either of the 2 equations and evaluate for y

Substituting into (1)

y = 7(- 3) + 10 = - 21 + 10 = - 11

this is for keigo-san ^^
whats 6x3-9x=

Answers

Answer:

18-9x

Step-by-step explanation:

Answer:

18-9x

Step-by-step explanation:

4x^2+4x^2-20x+12y-2=0 standard form​

Answers

Answer:

4x²+4y²-20x+12y-2=0

4x²-20x+4y²+12y = 2

4(x²-5x) + 4(y²+3y) = 2

4(x²-5x+25/4) + 4(y²+3y+9/4) = 2 + 4*25/4 + 4*9/4

4(x-5/2)² + 4(y+3/2)² = 36

(x-5/2)² + (y+3/2)² = 9

Step-by-step explanation:

hope this helped :)

Answer:

y= -2/3x^2 + 5/3x + 1/6

Step-by-step explanation:

please help will mark braileist

Answers

Answer:

EG

Step-by-step explanation:

Solve for y : y/2 - 5= -11 (I need help I’m a bit confused).

Answers

y/2 - 5 = -11
multiply each side by 2
y - 10 = -22
add 10 to both sides
y = -12

What is the NPV of (x-5)

Answers

Np is = to positive 5

7.5 is what percent of 50?

Answers

Answer:

15%

Step-by-step explanation:

Kristina is four-fifths as old as her sister. Kristina is 12 years old. Write a multiplication equation and solve the equation to determine her sister's age

Answers

Answer: Kristina  sister's age = 15 years

Step-by-step explanation:

LET the sister's age be rep as x

SO that Kristina = 4/5 of x

Given that Kristina's age = 12 , Then her sister's age can be found using The equation

4/5 x X= 12

4/5 X =12

X = 5 X 12 / 4

=60/4=15

Kristina's sister's age = 15 years.

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