if quadrilateral abcd is rotated 90° clockwise about point a and then reflected across the y-axis to create quadrilateral a’b’c’d’, what will be the coordinate of d’?

Answers

Answer 1

According to the 90° clockwise rotation, the new coordinate of the quadrilateral D' is (3, -2)

Quadrilateral

Quadrilateral refers a closed shape and a type of polygon that has four sides, four vertices and four angles.

Given,

If quadrilateral ABCD is rotated 90° clockwise about point A and then reflected across the y-axis to create quadrilateral A’B’C’D’.

Here we need to find the coordinate of D'.

In order to find the new coordinates, first we have to identify the current coordinates of the quadrilateral.

While we looking into the graph, we have identify the point of

A (0,0), B(-4, 3), C(1,5) and D(2,3)

Now, we have to use the rule of clockwise 90° rotation, states that to rotate the figure 90 degrees clockwise about a point, every point(x , y) will rotate to (y, -x).

According to this rule, the new coordinates are written as,

A(0,0) = A'(0,0)

B'(-4,3) = B'(-3,-4)

C(1,5) = C'(5, -1)

D(2,3) = D' (3, -2)

Therefore, the new coordinate of D' is (3, -2).

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Related Questions

If all shoppers get 10% off their purchase today, what is the equation can be used to calculate the portion of the original price?

Answers

Answer:

Step-by-step explanation:

Let the original cost be x

The shoppers get 10% of the original price

Therefore the equation to find final cost =

Discount: 10x/100

Final Cost: 90x/100

Mark brainliest for further answers :)

The volume of a cylinder is 156 pi centimeters cubed. What is the volume of a cone with the same base and height as the cylinder?
39 pi centimeters cubed
52 pi centimeters cubed
78 pi centimeters cubed
156 pi centimeters cubed

Answers

Answer:

the answer is 52 pi cm cubed

Answer:

(B)

Step-by-step explanation:

52π cm³

or 52 pi centimeters cubed

find total surface area of cylinder is R = 7 cm and H = 10 cm​

Answers

Step-by-step explanation:

Given radius , r = 7cm

and height , h = 10cm

Surface Area of Cylinder

[tex] = 2\pi {r}^{2} + 2\pi \: rh \\ = 2\pi( {7}^{2} ) + 2\pi(7)(10) \\ = 2\pi(49) + 2\pi(70) \\ = 98\pi + 140\pi \\ = 238\pi {cm}^{2} [/tex]

I will leave it in terms of pi as i am not sure how you want to leave your answer as.

The following data points represent the number of holes that moths ate in each of Grandma Marion's
dresses.
7,8,8, 5, 7,8
Using this data, create a frequency table.
Number of holes
Number of dresses
5
6
7
8

Answers

Answer:

1, 0, 2, 3

Step-by-step explanation:

Answer:

1, 0, 2, 3

Step-by-step explanation:

Find the area of the shaded region.

Answers

Answer:

60+4.5pi

Step-by-step explanation:

6×10 obv + area of circle pi(r^2) and half that for a semi cirxle

Answer:

9 π^2

Step-by-step explanation:

Let's just fined the area of the rectangle: Area= 2lw = A=60

Now, we know the diameter of the Spehre which is 10 -2 -2 = 6, the radius is half of that = 3

A=πr2 = A≈28.27

add A≈28.27 + 60 = 88.27 = 9 π^2≈88.82643

Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answers

Answer:

Question: Dave has a box that has a length of 12 cm a height of 8 cm and a width of 5 cm. Find the surface area.

Answer:

SA = 2lw+2lh+2hw

SA = 2 X 12 X 5 + 2 X 12 X 8 + 2 X 8 X 5

SA = 392

Step-by-step explanation:

Hope that this helps! :)

Have a great rest of your day/night!

Please thank me on my profile if you found my answer here helpful!

Convert degrees to radians
Show all the work
2. 45
3. 90

Answers

Answer:

[tex]\frac{\pi }{4}[/tex] and [tex]\frac{\pi }{2}[/tex]

Step-by-step explanation:

To convert from degrees to radians

radian measure = degree measure × [tex]\frac{\pi }{180}[/tex] , then

(2)

radian measure = 45 × [tex]\frac{\pi }{180}[/tex] ( cancel 45 and 180 )

                          = [tex]\frac{\pi }{4}[/tex]

(3)

radian measure = 90 × [tex]\frac{\pi }{180}[/tex] ( cancel 90 and 180 )

                           = [tex]\frac{\pi }{2}[/tex]

3/4-1/5 please i give branliest

Answers

Answer:

0.55

Step-by-step explanation:

Answer:

11/20

(Result in decimals: 0.55)

Step-by-step explanation:

3/4 -  1/5

=  

3 × 5         1 × 4

____  -     ____

4 × 5        5 × 4

=  

15/20 –4/20

=  

15 – 4

_____

  20

=  

11/ 20

Hope I helped!!!!! Maybe Brainliest

Esha is seeking to invest for college. She selects an account with a compound interest rate of 2% per year. If she initially deposits $7,000, then how much will her investment be worth at the end of 5 years?

Answers

Answer:

$7700

Step-by-step explanation:

Given data

Rate= 2%

Principal= $7000

Time= 5 years

The simple interest expression is

A=P(1+rt)

substitute

A=7000(1+0.02*5)

A=7000(1+0.1)

A=7000*1.1

A=7700

Hence the amount is $7700

Find the 15th term of the geometric sequence 7, -21, 63, ...7,−21,63,

Answers

Answer:

not sure

Step-by-step explanation:

the volume in cm³, of a cube of edge is 3cm is

Answers

Answer:

27 cm^3

Step-by-step explanation:

edge of cube = a = 3cm  

Volume of cube = a^3 = 3^3= 3×3×3 = 27 cm^3

sorry if im wrong plz  dont report

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

Find a. Round to the nearest tenth:

Answers

Answer:

14.356

Step-by-step explanation:

that's the answer round up to 14.4

solve x , y, and z.__________

Answers

Hi I don’t know the answer I just need the points

Phill thinks he had merited the angles blew correctly. Triangle placed on top of a straight line, 50 * at the top left of the triangle, 90 at the bottom left of the triangle, 40* at the bottom right

Answers

No he is wrong because if it were 150° on the right side it would be 30° on the other side

Solve the system of equations using the substitution method. Show your work and be sure to include the solution to the system.

Answers

Answer:

Is that simultaneous equation

You can ask if something is not clear or you don't understand

The solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

What is Equation?

Two or more expressions with an Equal sign is called as Equation.

The given system of equations are

y=x-1 ...(1)

2x+y=8...(2)

By using substitution method we solve the value of x and y.

Substitute y value in equation (2)

2x+x-1=8

Combine the like terms

3x-1=8

Add 1 on both sides

3x=9

Divide both sides by 3

x=3

Now plug in x value in y equation.

y=3-1

y=2

Hence, the solution of system of equations y=x-1 , 2x+y=8 are x=3 and y=2 which we get by substitution method.

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3.3 divided by 0.3 please help

Answers

11 I searched it up

Fransisco and kazuko guess the number of marbles in a jar. Fransisco guesses 50 marbles and kazuko guesses 60. The actual number of marbles is 55. Kazuko says there is less error in her guess because 50/50=10% and 5/60= 8.3%. Explain why kazuko is incorrect

Answers

Answer:

The difference in both the guessed values is 5 unit

Step-by-step explanation:

The less error computation is done by dividing the difference between the guessed value and the actual value.

Here in this case

Error in case of Fransisco = 55-50 = 5

Error in case of Kazuko = 60 -55 = 5

Hence, both have guessed incorrect value and their incorrect values is either 5 units less or 5 units higher than the actual value.

Help me pls ASAP find A

Answers

Answer:

the answer is (3,2) because it show it

43/19 as a decimal rounded nearest hundredth

Answers

Answer:

2.26

Step-by-step explanation:

To round our answer to nearest hundredth, we will round our answer to 2 digits after decimal. We can see that thousandth value is less than 5 that is 3, so will keep last digit 6 as: Therefore, the decimal value of our given fraction is approximately 2.26 to the nearest hundredth.

A bank offers the following loans:

Bank A Bank B
$105,000
30-year fixed
5.875%
1.25 discount points
M = $621.11
$105,000
30-year fixed
6%
0 discount points
M = $629.53

What is the break-even point for the loans? (4 points)
about 7 years
about 10 years
about 13 years
about 16 years

Answers

Answer:

It is bank A and bank B

about 10 years

A 54 inch pipe is cut up into 2 pieces . One piece is two times the length of the other

Answers

Small = 18 in
Large = 36 in
Please give me Brainliest

questions 9 & 10 FAST PLS ITS A TEST! WILL GIVE BRAINLIEST!

Answers

Answer:

9: one solution

10: 121

Step-by-step explanation:

Hope that helped!! maybe brainliest?

edit: so sorry 9 is actually two solutions not one

identify the equation whose vertical graph is a vertical line.

a) y=2x-1
b) y=2
c) x=2​

Answers

Answer:

c

Step-by-step explanation:

help this is khan academy

Answers

Answer:

20

Answer:

20

Step by step:

v = l × w × h

v = 2 × 2× 5

v = 4 × 5

v = 20

Help please, it's for a test due at 11:30 est; Determine if (x-6) is a factor of f(x)=2x^4-3x^3+4x-3. Explain.

Answers

Answer:

if we get 0, when we plug the value of f(x) as 6 in f(x) then (x-6) is a factor of f(x)

f(x) = 2x⁴ - 3x³ + 4x - 3f(6) = 2×6⁴ - 3×6³ + 4×6 - 3f(6) = 2592 - 638 + 24 - 3f(6) = 2616 - 641f(6) = 1975

f(6) is not equal to 0

then (x-6) is not a factor of f(x) = 2x^4-3x^3+4x-3

Your help will be much appreciated. 30 points + brainliest.

find exact value of each of the following using half angle formulas​

Answers

Answer:

gimme a sec

Step-by-step explanation:

Answer:

a.   -.259

b. 3.732

c. -.259

d. 3.72972972973

Step-by-step explanation:

What is the solution to the system of equations above?

Answers

Answer:

(-2,-2)

Step-by-step explanation:

the x is -2

also the y is -2

Plz help me ASAP!!!

Answers

Answer:

45 degrees

Step-by-step explanation:

BD bisects the angle so divide it by two

Answer:

The right answer is 45 degrees .

1)Which is the most accurate way to estimate 74% of 89?

Answers

Are there answer choices?

the answer is 0.89 X 74 = 65.86

find m<VOR
A. 70°
B.80°
C.85°
D.95°

Answers

Answer:

C. 85

Step-by-step explanation:

If you look closely to the protractor, r is in the middle of 80 and 90 which is 85

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