Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below: Rectangles ABCD and A prime B prime C prime and D prime are shown. A is at negative 1, 2. B is at negative 1, 5. C is at negative 3, 5. D is at negative 3, 2. A prime is at 2, 1. B prime is at 5, 1. C prime is at 5, 3. D prime is at 2, 3. What transformation did Kim perform to create rectangle A'B'C'D'? Rotation of 270 degrees counterclockwise about the origin Reflection across the line of symmetry of the figure Reflection across the yâ€axis Rotation of 90 degrees counterclockwise about the origin.

Answers

Answer 1
Rotation of 270 degrees counterclockwise about the origin.

The transformation rule for Rotations of 270 degrees counter clockwise is (x, y) —> (y, -x).
Answer 2

Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin'' and it can be determined by using the rules of transformation.

Given that,

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

We have to determine,

What transformation did Kim perform to create rectangle A'B'C'D'?

According to the question,

Kim performed a transformation on rectangle ABCD to create rectangle A'B'C'D', as shown in the figure below:

Rectangles ABCD and A prime B prime C prime and D prime are shown.

Transformation involves changing the position of the given shape.

The transformation on rectangle ABCD to A'B'C'D' is (a) rotation of 270 degrees counterclockwise.

The coordinates of ABCD are given as:

A (1, -2),

B (-1, 5)

C (-3, 5)

D (-3, 2)

The coordinates of A'B'C'D' are given as:

A (2, 1),

B (5, 1)

C (5, 3)

D (2, 3)

The transformation from ABCD to A'B'C'D is 270 degrees counterclockwise about the origin.

And the proof is as follows.

The rule of 270 degrees counterclockwise about the origin is:

The given coordinates;

A (2, 1) - (-1, 2)

B (5, 1) - (-1, 5)

C (5, 3) - (-3, 5)

D (2, 3) - (-3, 2)

Hence, Kim performs to create rectangle A'B'C'D' Transformation, ''Rotation of 270 degrees counterclockwise about the origin''.

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Related Questions

help me answer please

Answers

Answer:

Sorry

Step-by-step explanation:

NEED HELP ON THIS EQUATION!!!​

Answers

Answer:

1.2x + 3

Step-by-step explanation:

It has to have +3 because 0 alresdy starts at 3 than use any point (I choose (5,9)) and find how much changed. The point moved 6 up and 5 to the right so divide 6/5 and get 1.2. Then test it with other points. (2,5.4) is a great example because it shows that whatever the equation is it is not 1.5 or anything above.

Sam has a piece of rope that is 3. feet long. He cuts the rope so that one piece
is 13 feet long. How long is the other piece?
2 feet
2 feet
27 feet
12 feet
Done

Answers

Answer:

1.11 feet

Step-by-step explanation:

i assume you meant inches not feet so you will just multiply 3 feet by 12 to change it into 36 inches do 36-13 get 33 dived by 12 get 1 with a remainder of 11 so 1.11

Pls help trig question!!

Answers

[tex]4\sin^2 x - 3 = 3 \sin x\\\\\implies 4\sin^2 x -3 \sin x -3 =0\\\\\implies 4u^2 -3u -3 =0~~~~~~~~~~~~~~;[\text{Set} ~ \sin x = u]\\\\\implies u = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4\cdot 4 \cdot (-3)}}{2(4)}~~~~~~;[\text{Apply quadratic formula}]\\\\\\\implies u = \dfrac{3\pm\sqrt{57}}8\\\\\implies \sin x = \dfrac{3\pm\sqrt{57}}8~~~~~~;[\text{Substitute back}~ u = \sin x]\\\\\text{Now,}\\\\\sin x = \dfrac{3+\sqrt{57}}8\\\\\text{No solution for}~ x\in \mathbb{R} ~\text{Since}~ -1\leq \sin x \leq 1\\[/tex]

[tex]\sin x = \dfrac{3 - \sqrt{57}}8\\\\\implies x = n\pi + (-1)^n \sin^{-1} \left(\dfrac{3-\sqrt{57}}8\right)\\\\\\\text{ When n = 1,2 and}~ [0,2\pi]},\\\\\\x= \pi - \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)~ \text{and} ~x = 2\pi + \sin^{-1} \left(\dfrac{3-\sqrt{57}}8 \right)\\\\\text{In decimal,}\\\\x= 3.75~~~~ \text{and}~~~ x =5.68[/tex]

Which equation is equivalent to the formula r = st? t equals s over r t = rs s equals r over t s = rt.

Answers

Answer:

Step-by-step explanation:

r = st------------

Other correct expressions:

t = r/s

s = r/t

------------------

Choices

1)  t = s/r   No

2) t = rs     No

3)  s =r/t    Yes

4)  s = rt    No

The equation that is equivalent to the given equation is [tex]s = r/t[/tex] and this can be determined by using the arithmetic operations.

Given :

Equation is [tex](r = st)[/tex].

The following steps can be used in order to determine the equation that is equivalent to the given equation:

Step 1 - Write the given equation.

[tex]r = st[/tex]    --- (1)

Step 2 - The arithmetic operations can be used in order to determine the equation that is equivalent to the given equation.

Step 3 - Now, divide 't' on both sides in the equation (1).

[tex]\dfrac{r}{t} = \dfrac{st}{t}\\\\\\dfrac{r}{t}=s[/tex]  

Therefore, the correct option is C).

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A cylindrical tank with radius 5 m is being filled with water at a rate of 3 m^3/min. How fast is the height of the water increasing

Answers

Answer:

[tex]\frac{3}{25\pi}[/tex] meters per minute

Step-by-step explanation:

Given:

[tex]V=\pi r^2h[/tex]

[tex]r=5[/tex]

[tex]\frac{dV}{dt}=3[/tex]

[tex]\frac{dh}{dt}=?[/tex]

Substitute r=5:

[tex]V=\pi r^2h[/tex]

[tex]V=\pi(5)^2h[/tex]

[tex]V=25\pi h[/tex]

Differentiate both sides:

[tex]\frac{d}{dt}V=\frac{d}{dt}(25\pi h)[/tex]

[tex]\frac{dV}{dt}=25\pi\frac{dh}{dt}[/tex]

Solve for dh/dt:

[tex]3=25\pi\frac{dh}{dt}[/tex]

[tex]\frac{3}{25\pi}=\frac{dh}{dt}[/tex]

Therefore, the height of the water is increasing at a rate of [tex]\frac{3}{25\pi}[/tex] meters per minute.

Find the value of x, y, and z.

Answers

x is 90 degrees
i don’t know what the rest are

What is the value of 8.25p + 3.99c, when p=11 and c= 7? *

Answers

Answer:

Your answer is p=3.99;$51.87

Someone please help me with this it’s an emergency

Answers

Answer:

The answers are given in the photo

Write an equation of a line that is perpendicular to the given line and passes through the given point.
y = 6x - 7
(12,-4)
• y = 6x +5
• y = -6x-5
• y = -1/6 x + 6
•y = -1/6 - 2

Answers

Answer:

• y = -6x-5

Step-by-step explanation:

add the expression(3x+2)+(2x+5)​

Answers

5x+7 u add the light terms

Triangle ABC has coordinates A(−6,2), B(−3,6), and C(5,0). Find the perimeter of the triangle. Round your answer to the hundredths place (2 decimal places) I will give brainliest

Answers

Answer:

26.18 units

Step-by-step explanation:

You could use distance formula three times to calculate the length of each side. Add the three lengths to find the perimeter. However, (see image) if you look at a graph of these points, two of the sides are the hypotenuse of a right triangle that have known, integer values--Pythagorean triples. The sides are 3-4-5 and the other is 6-8-10. We use the Pythagorean theorem to find the third side. See image.

11.18 + 5 + 10

= 26.18 units

The perimeter of triangle is 26.18.

What is triangle?

A triangle is 2-dimensional closed curve. which has 3 sides, 3 angles and 3 vertices.

According to the question,

Triangle ABC has coordinates A(-6,2), B(-3,6), C(5,0).

Distance formula: √(x₂-x₁)² + (y₂-y₁)².

Points A and B are (-6,2) and (-3,6)

= √(-3-(-6))² + (6-2)²

= √9+16

= √25

=5.

Thus, point A and B has distance, S₁ = 5.

Points B and C are (-3,6) and (5,0)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(5-(-3))² + (0-6)²

= √(8)² + (-6)²

= √(64+36)

=√100

=10.

Thus, point B and C has distance, S₂ = 10.

Points C and A are (5,0) and (-6,2)

Distance formula: √(x₂-x₁)² + (y₂-y₁)²

= √(-6-(5))² + (2-0)²

= √((-11)² + (2)²)

=√(121+4)

=√125

=5√5

Thus, point C and A has distance, S₃= 5√5.

Perimeter of triangle = S₁ + S₂+S₃

= 5 + 10 + 5√5

=15+5√5

=15+5(2.23606)

=15+11.1803

=26.1803 ≈ 26.18

Hence, the perimeter of triangle is 26.18.

Learn more about Triangle here

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1. Represent the following sentence as an algebraic expression, where "a number" is the letter x.

8 is added to a number.

2. When solving an equation, Bianca's first step is shown below. Which property justifies Bianca's first step?

Original Equation:
4x-5= -4
First Step:
4x= 1

A. multiplication property of equality
B. addition property of equality
C. commutative property of addition
D. commutative property of multiplication

Answers

Answer:

The answer is C since she is adding 5 to both sides

Hope This Helps!!!

HELP NOW! 20 POINTS!

Determine whether the graph represents a proportional relationship. (4 points)


A graph is shown. The x-axis is labeled from 0 to 9. The y-axis is labeled from 0 to 15. Four points are shown on the graph on ordered pairs 0, 2 and 1, 6 and 2, 10 and 3, 12. These points are joined by a line. The label on the x-axis is Number of cars. The title on the y-axis is Number of wheels.


Yes, it is a proportional relationship because the graph goes through the origin


Yes, it is a proportional relationship because the graph is a straight line


No, it is not a proportional relationship because the graph is not a straight line


No, it is not a proportional relationship because the graph does not go through the origin

Answers

I believe the answer is D.

No, it is not a proportional relationship because the graph does not go through the origin.

Find the area of a rectangle & triangle! NEED HELP ASAP

Answers

Answer:

For rectangle: A=wl

Step-by-step explanation:

Multiply the length by the with to find the answer

winter coat was originally priced at 140$ and went on sale for 91$ by what percentage was the price of the winter coat reduced?

Answers

Answer:

35%

Step-by-step explanation:

Find out what percent 91 is of 140

91÷140 = 0.65

Then find out how much was reduced by subracting 0.65 from 1

1 - 0.65 =0.35

The coat was reduced by 35%

Which equation choice could represent the graph shown below?

Answers

(X+6)x(x-6)

You can look at the roots, which are -6, 0, and 6.

The volume of an eraser is 9.6cm cube Its height is 0.8cm find the area of it base

Answers

Step-by-step explanation:

V epual to L x W x H

9.6cm x 0.8cm

9.6

x 0.8

46

Answer:

12 cm

Step-by-step explanation:

[tex]v_{eraser} = area \: of \: base \times height \\ \\ \therefore \: area \: of \: base = \frac{v_{eraser}}{height} \\ \\ = \frac{9.6}{0.8} \\ \\ = 12 \: cm[/tex]

Sixth grade
X Factor numerical expressions using the distributive property. MX2

Which expression shows a way to factor 63 + 49?
21(3 + 2)
7(9 + 7)
9(7 + 6)
3(21 + 16)

Answers

Hey there!

“63 + 49”

21(3 + 2)

= 21(3) + 21(2)

= 63 + 42

= 105

Option A. isn’t the answer because the equation for that is: 63 + 42

7(9 + 7)

= 7(9) + 7(7)

= 63 + 49

= 112

Option B. could possibly be your answer

9(7 + 6)

= 9(7) + 9(6)

= 63 + 54

= 117

Option C. isn't your answer because the equation for that is: 63 + 54

3(21 + 16)

= 3(21) + 3(16)

= 63 + 48

Option D. isn’t your answer because the equation for that is: 63 + 48

Thus, this makes makes [Option B. 7(9 + 7)] is your answer

Good luck on your assignment and enjoy your day!

~Amphitrite1040:)

Two similar triangles are shown on the coordinate grid:

A coordinate grid is shown from positive 6 to negative 6 on the x-axis and from positive 6 to negative 6 on the y-axis. A triangle ABC is shown with vertex A on ordered pair negative 2, negative 1, vertex B on ordered pair 0, 0, and vertex C on ordered pair 1, negative 3. A triangle A prime B prime C prime is also shown with vertex A prime on ordered pair negative 4, 2 , vertex B prime on ordered pair 0, 0 and vertex C prime on ordered pair 2, 6.
Which set of transformations has been performed on triangle ABC to form triangle A′B′C′? (5 points)

Dilation by a scale factor of 4 followed by reflection about the x-axis
Dilation by a scale factor of 2 followed by reflection about the x-axis
Dilation by a scale factor of 4 followed by reflection about the y-axis
Dilation by a scale factor of 2 followed by reflection about the y-axis

Answers

The set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

The coordinates of the triangles are given as:

Triangle ABC

[tex]A =(-2, -1)\\[/tex]

[tex]B =(0, 0)[/tex]

[tex]C =(1, -3)[/tex]

Triangle A'B'C'

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Start by dilating triangle ABC by a scale factor of 2.

The rule of this transformation is [tex](x,y) \to (2x,2y)[/tex]

So, we have:

[tex]A' =(-4,-2)[/tex]

[tex]B' =(0,0)[/tex]

[tex]C' = (2,-6)[/tex]

Next, we reflect the triangle across the x-axis.

The rule of this transformation is [tex](x,y) \to (x,-y)[/tex]

So, we have:

[tex]A' = (-4, 2)[/tex]

[tex]B '=(0, 0)[/tex]

[tex]C '=(2, 6)[/tex]

Hence, the set of transformation is: (b) dilation by a scale factor of 2 followed by reflection about the x-axis

Read more about transformation at:

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which system of equations cannot be readily solved by the substitution method 6x+12y=11

Answers

Answer:

Step-by-step explanation:

well first off when you work through the promblem you will have to think about the promblem like the variables will cancel out and will have a equation consisting of only contasts.

which one weighs more a watermelon that weighs 1.7 kilograms or a pumpkin that weighs 12 pounds?

Answers

Answer : pumpkin that is 12 pounds

Step - by - step explanation :

First, convert . . . what is 1.7 kilograms as pounds ?  3.74786 ( rounded is 4 pounds )

Second, compare . . . 4 < 12

Hope this helped ! :>

..............................

Answers

Answer:

A rational number is a number that doesn't terminate or repeat

a non rational number is a number that terminates or repeats

so she basicelly got mixed up

Hope This Helps!!!

Which expression is equivalent to −78−(−34)


HELP PLEASE!

Answers

the answer would be D
76-(-34) those two - turn into a plus

I NEED ASAP ON THIS MATH PROBLEM

Answers

y=3x-5 is the equation
ANSWER: y = 3x - 5
Ok done. Thank to me :>

Help please!!!!!!!!!!!!!

Answers

Answer:

Hm? Is there meant to be a file, if so I can’t see it. :((

Step-by-step explanation:

Use the information to answer the question.
A crew is loading crates onto a train. They can load 4 crates every 1.25 minutes. Each crate weighs 160 pounds.
C
=
At that rate, how many minutes would it take the crew to load crates with a total weight of 2400 pounds? Round the answer to the nearest
tenth. Enter the answer in the box.
minutes
Plz help me no links

Answers

Answer:

4.7

Step-by-step explanation:

2400/160 =15 crates

4/1.25=3.2 crates a minute

15/3.2=4.68 minutes

4.7 because it rounds up

To load 2400 pounds of crates crew will take around 4.69 minutes.

What are the ratio and proportion?

The ratio is the division of the two numbers.

For example, a/b, where a will be the numerator and b will be the denominator.

Proportion is the relation of a variable with another. It could be direct or inverse.

Given,

Crew can load 4 crates every 1.25 minutes

4 creates ⇔ 1.25 minutes

Given,

1 crate = 160 pounds

So,

4 crate = 640 pounds

So,

640 pounds ⇔ 1.25 minutes

1 pound ⇔ 1.25/640 minutes

To load 2400 pounds

2400 pounds ⇔(1.25/640)2400 minutes

2400 pounds ⇔ 4.6875 minutes.

Hence " To load 2400 pounds of crates crew will take around 4.69 minutes".

For more information about ratio and proportion,

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A teacher assigns 10 questions for homework and wants to randomly pick 3 questions to be graded. Which of the following procedures would produce a simple random sample?

Assign the homework questions the numbers 1–10. Use a random number table to select the first three numbers between 1 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.
Assign the homework questions the numbers 01–10. Use a random number table to select the first three 2-digit numbers between 01 and 10. These represent the questions that will be graded.
Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Answers

Answer:

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

Step-by-step explanation:

Assign the homework questions the numbers 0 to 9. Use a random number table to select the first three numbers between 0 and 9. These represent the questions that will be graded.

How to Assign Random Numbers?

We are told that a teacher assigned 10 questions for homework and would like to randomly pick 3 questions to be graded. Now, this simply has to follow the correct procedure of random selection.

The procedure that the teacher should follow is as follows;

Assign the homework questions the numbers 0–9. Use a random number table to select the first three unique numbers between 0 and 9. These represent the questions that will be graded.

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Find profit or loss percent if CP-Rs 900 and loss =Rs 360​

Answers

loss%=loss/CP×100%

=Rs.360/Rs.900×100%

=Rs. 360/9

loss% =40% ans

the sum of kyras and calebs age is 37. calebs age is equal to twice the quantity of kyras age decreased by 4. let k represent kyras age.

Answers

Caleb - c
Kyras - k

k+c=37
c=2k-4

k+(2k-4)=37
3k=41
k=41/3= ~13.67 years old

c=37-k
c=(111-41)/3
c=70/3=~23.33 years old
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