Parallelogram ABCD has vertex coordinates A(0, 1), B(1,3), (4,3), and D(3,1). It is translated 1 unit to the right and 3 units down and then rotated 180°clockwise around the origin. What are the coordinates of A?

Answers

Answer 1

Answer:

  A'(-1, 2)

Step-by-step explanation:

Translation 1 right and 3 down is accomplished by the transformation ...

  (x, y) ⇒ (x +1, y -3)

Rotation 180° is accomplished by ...

  (x, y) ⇒ (-x, -y)

Then the composition of transformations gives ...

  (x, y) ⇒ (-x -1, -y+3)

The transformed coordinates of A(0, 1) are ...

  A(0, 1) ⇒ A'(-0 -1, -1 +3) = A'(-1, 2)


Related Questions

Write an equation of the line that passes through the given point and is (a) parallel and (b)
perpendicular to the given line

Answers

Answer:

parallel line: y=-3x+14

perpendicular line: y=1/3x +2/3

Step-by-step explanation:

For the parallel line, use the point-slope formula to find the equation of the parallel line (since the slope is the same as the given line and the point (4,2) is given. For the perpendicular line, use the opposite reciprocal of the slope of the given line and use the point-slope formula again. The point-slope formula is Y-Y1=m(X-X1)

A rectangle has a length of 4 mm has an area is 44 mm² width of the rectangle is

Answers

The answer is : w=1.1×10^7mm

Answer:

11

Step-by-step explanation:

The formula for area is l * w = a (length * width = area)

4 is our length, and 44 is the area, so the equation turns to this:

4 * x = 44

To solve for x, just divide 44 by 4.

44 / 4 = 11.

Now we enter that into our equation so it looks like this:

4 mm * 11 mm = 44 mm^2.

Hope this helped :)

Find the distance travelled by Rubina if she takes 4 rounds of rectangular park whose length and breadth is 45m and 30m

please give me a valid answer with a step by step explanation and i will mark you as brainliest

Answers

Length (l) = 45 mBreadth (b) = 30 mWe know, perimeter of a rectangle = 2(length + breadth)Therefore, perimeter of the rectangle = 2(I + b) = 2(45 + 30) m = 2 × 75 m = 150 mSo, the distance travelled by Rubina = 4 × 150 m= 600 m

Answer:

The distance travelled by Rubina is 600 m.

Hope you could get an idea from here.

Doubt clarification - use comment section.

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Answers

Scale down 1/2 and a 180 degree flip

divide (3x^3 + x2 – 4) by (x + 2).

Answers

Answer:

[tex](x+2)(3x^3-5x-10)[/tex]

Step-by-step explanation:

If you don't know how to divide polynomials then I can help with that too or you can just search it up

Pls help me rn bec sue tmr pls pls

Answers

Answer:

Number of 1-cm cube 24. Volume of solid 24 cm^2

Step-by-step explanation:

Consider the reaction. Upper n subscript 2 (g) plus 3 upper H subscript 2 (g) double-headed arrow 2 upper N upper H subscript 3 (g). At equilibrium, the concentrations of the different species are as follows. [NH3] = 0. 105 M [N2] = 1. 1 M [H2] = 1. 50 M What is the equilibrium constant for the reaction at this temperature? 0. 0030 0. 030 34 340.

Answers

The equilibrium constant of the reaction is 0.0030.

The equation of the reaction is given as;

N2(g) + 3H2(g) ⇆ 2NH3 (g)

We have the following information at equilibrium;

[NH3] = 0.105 M

[N2] = 1.1 M

[H2] = 1.50 M

Hence, we can calculate the equilibrium constant using the relation;

K = [NH3]^2/ [N2]  [H2]^3

Substituting values;

K = [0.105]^2/[ 1.1] [1.50]^3

K =0.011025 /3.7125

K= 0.0030

Learn more: https://brainly.com/question/17960050

Please help will give brainliest.
What is the factored form of the following expressions?

d2 + 16d + 60
Group of answer choices

(d – 10)(d – 6)

(d + 10)(d + 6)

(d – 10)(d + 6)

(d + 10)(d – 6)

Answers

Answer:

B.

Step-by-step explanation:

Answer: (d+10) (d+6)

How i can answer this question, NO LINKS, if you answer correctly i will give u brainliest!

Answers

Answer:

10

Step-by-step explanation:

Equation=5*2^3/2^2

What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4

Answers

D. 4 This is where the exponential line on the graph hits the y axis.

the quotient of x and 10 equals 30

Answers

Answer:

x=3

Step-by-step explanation:

I'm assuming that's what you're asking.

x*10=30=>x=30/10=3

Which function is represented by the graph? f(x) = â’|x â’ 3| 4 f(x) = â’|x 3| 4 f(x) = â’|x â’ 4| 3 f(x) = â’|x 4| 3.

Answers

Functions are used to represent graphs, and vice versa.

The function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

The graph (see attachment) is an absolute value graph.

An absolute value graph is represented as:

[tex]f(x) =a |x - h| + k[/tex]

Where

[tex]Vertex = (h,k)[/tex]

The vertex is the minimum or the maximum point on the graph.

So, we have:

[tex]Vertex = (-4,3)[/tex]

The function becomes

[tex]f(x) =a |x + 4| + 3[/tex]

The function also passes through the point (-1,0).

So, we have:

[tex]0 =a |-1 + 4| + 3[/tex]

[tex]0 =a |3| + 3[/tex]

Remove the absolute bracket

[tex]0 =3a + 3[/tex]

Subtract 3 from both sides

[tex]3a =- 3[/tex]

Divide both sides by 3

[tex]a =- 1[/tex]

Substitute -1 for (a) in [tex]f(x) =a |x + 4| + 3[/tex]

[tex]f(x) =- |x + 4| + 3[/tex]

Hence, the function represented by the graph is [tex]f(x) =- |x + 4| + 3[/tex]

Read more about absolute value graphs at:

https://brainly.com/question/3381225

Find the surface area of the following prism.

Answers

Answer: 350 square inches

The surface area formula of a trapezoidal prism is h (b + d) + l (a + b + c + d)

4(9+7) + 11 (5+7+9 +5)

--> 350

One gallon of gas costs $1.50. Three gallons of gas costs $4.50. How much will 9 gallons of gas cost?

Answers

Answer:

9 gallons will cost $13.50

Step-by-step explanation:

1 gallon = $1.50

1.50 x 9 = 13.50

or

3 gallons = $4.50

4.50 x 9 = 13.50

Answer:

13.5 dollars.

Step-by-step explanation:

4.50 times 3 is 13.5 dollars.

Have A Good Day!!! :)

You and your friend mix water and citric acid. You add 3 cups of citric acid for every 16 cups of water. Your friend adds 2 cups of citric acid for every 12 cups of water. Whose mixture is more acidic?

Put responses in the correct input to answer the question. Select a response, navigate to the desired input and insert the response. Responses can be selected and inserted using the space bar, enter key, left mouse button or touchpad. Responses can also be moved by dragging with a mouse.

Answers

Answer:

You:If it’s was 6 cups of citric I’d be to 32 water

Your friend: if it was 4 cups it’d be 12 water

Step-by-step explanation:

I believe your friends is more acidic because your Is being diluted more

14m - 7
Please help asap

Answers

Answer:

its very simple

answer is 21

Step-by-step explanation:

m=7+14

m= 21

Answer the ones you want to. Answer at least one.

Have no idea how to do this. Please help I beg you.

Answers

Answer:

i don't understand 5, 8, 9, or 10.. I'm sorry...

6. A. With each one (1,2,3) the pattern increases by 3 dots each time

B. the fourth pattern would be 4 rows of 3 (look at picture below)

7. The pattern adds 2 squares, one on the left and one on the right side

Step-by-step explanation:

so... a conjecture is basically like an educated guess.. so ye :)

Kenny has a bag of marbles. The bag contains 8 red marbles, 5 blue marbles, and 2 yellow marbles. He will randomly select 1 marble from the bag. What is the probability Kenny will select a blue marble?

Answers

The probability Kenny would select a blue marble is 1/3.

Please help me, you can see the parabola down below. Please.

Determine the equation of the parabola in Vertex Form. Work must be shown.

Answers

Answer:

let me check....

Step-by-step explanation:

Ain.
1.5 ft.
0.5 it.

What is the surface area of the figure in square inches help

Answers

l=4inb=0.5ft=6inH=1.5ft=18in

[tex]\\ \sf\Rrightarrow LSA=2(h)(l+b)[/tex]

[tex]\\ \sf\Rrightarrow LSA=2(18)(6+4)[/tex]

[tex]\\ \sf\Rrightarrow LSA=36(10)[/tex]

[tex]\\ \sf\Rrightarrow LSA=360in^2[/tex]

PLEASE HELP I BEG IMMA FAILLLLLLLLL

An isosceles triangle has two sides that measure 5.6 in. and a side that measures 4.2 in. If the triangle is enlarged such that the two sides measure 20 in, what is the length of the third side?

Answers

Answer:

15

Step-by-step explanation:

If the bigger triangle has the two congruent sides measuring 20, then the ratio of the bigger to the smaller is 20/5.6 This means that the ratio between the third side of the bigger to the third side of the smaller is 20/5.6

Setting a ratio:

20/5.6=x/4.2

Cross multiplying: 84=5.6x

x = 84/5.6  -->12/0.8 --> 15

x = 15

Find the equation of the line passing through the points (0,7) and (5,-3).

Answers

Answer:

y = - 2x + 7

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 7 ) and (x₂, y₂ ) = (5, - 3 )

m = [tex]\frac{-3-7}{5-0}[/tex] = [tex]\frac{-10}{5}[/tex] = - 2

The line crosses the y- axis at (0, 7 ) ⇒ c = 7

y = - 2x + 7 ← equation of line

estimate 417 x 63 equals to

Answers

Answer:

24000

Step-by-step explanation:

400 can be rounded to 400 and 63 can be rounded to 60

400x60=24000

your exact product would be 26271

hope this helps

please ignore the work below it!! i am pretty sure it’s wrong!!

Answers

I’m sorry let me think This is so confusing i’ll try and solve it

∠A and \angle B∠B are vertical angles. If m\angle A=(2x-10)^{\circ}∠A=(2x−10) ∘ and m\angle B=(x+8)^{\circ}∠B=(x+8) ∘ , then find the measure of \angle A∠A.

Answers

Answer:

m∠B=52

Step-by-step explanation:

Two or more angles are said to be complementary if they sum up to 90 degrees.

Given that angles A and B are complementary, then:

\begin{gathered}\angle A+\angle B=90^\circ\\m\angle A=(2x+18)^{\circ}\\m\angle B=(6x-8)^{\circ}\\$Therefore:\\(2x+18)^{\circ}+(6x-8)^{\circ}=90^\circ\\2x+6x+18-8=90^\circ\\8x+10^\circ=90^\circ\\8x=90^\circ-10^\circ\\8x=80^\circ\\$Divide both sides by 8\\x=10^\circ\\$Therefore:\\m\angle B=(6x-8)^{\circ}\\m\angle B=(6(10)-8)^{\circ}\\=60-8\\m\angle B=52^{\circ}\end{gathered}

A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?​

Answers

Answer:

a = 8

Step-by-step explanation:

First find the equation of line using

y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1

y-1=7(x-(-6))

y-1=7x+42

y=7x+43

now let x be -5 to find y which is a

y=7(-5)+43

y=-35+43

y=8

so a = 8

Please help it’s multiple choice! No links

Answers

Answer:

Option A, B, and D are true.

Explanation:

A coefficient is the number that is being multiplied by a variable. For example, in 7b, 7 would be the coefficient.

Terms are the numbers used in the equation. For example, in 3 + 2, 3 and 2 would be the terms.

3n and 5m are not coefficients as there are variables included. 3n and 5m are examples of a variable.

A constant is a number that is not multiplied by a variable. For example, in 8x + 3 + 2b, 3 would be the constant.

Hope this helped :)

a homeowners association charges a 4.65 fee for each day your payment is late if a bill was originally 103.55 and paid 22 days late then how much is owed to the home owners?

Answers

Answer:

207.1

Step-by-step explanation:

4.65×22=102.3

103.55+102.3= 207.1

Solve the simultaneous equations
4 x + y = 17
3 x + y = 15

Answers

I think 4 x 3 + 5 =17 and 3 x 4 + 3 = 15 I am not sure but I think this is it

Graph y=2x+5 on the plane

Answers

Answer:

Incorrect

Step-by-step explanation:

for your slope go down two to the right one

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