Which rule describes the composition of transformations
that maps pre-image ABCD to final image A"B"C"D"?
Orx-axis 07-61(x, y)
O T-620rx-axis (x, v)
O Rogo T-6, 1(x, y)
OT-610 RO, 900(x,

Which Rule Describes The Composition Of Transformationsthat Maps Pre-image ABCD To Final Image A"B"C"D"?Orx-axis

Answers

Answer 1

Answer:

[tex] T_{-6, 1} \circ r_{x-axis} (x, y) [/tex]

Step-by-step explanation:

We can see in the picture that the first step is transform ABCD to A'B'C'D'. To do this, ABCD is reflected over the x-axis.

Then, A'B'C'D' should be translated -6 units to the right, that is, on the x-axis; and 1 unit up, that is, on the y-axis.

Answer 2

The composition transformation process is from ABCD to A'B'C'D', then

to A''B''C''D''.

Correct response:

The composition transformation is; [tex]\underline{T_{-6, \, 1} \ \circ \ r_{x - axis}(x, \, y)}[/tex]

Process used for finding the composition transformation

The given coordinates of the pre-image ABCD are;

A(3, 5), B(6, 5), C(4, 1), D(1, 1).

The coordinates of the image D'C'A'B' are;

A'(3, -5), B'(6, -5), C'(4, -1), and D'(1, -1).

Therefore, the rule that gives the coordinates of A'B'C'D' from ABCD

(x, y) [tex]\underrightarrow{Rule}[/tex] (x, -y)

The rule for a reflection across the x-axis is; (x, y) [tex]\underrightarrow{r_{x-axis}}[/tex] (x, -y)

Therefore;

The rule that gives A'B'C'D', from ABCD is a reflection across the x-axis.

The rule that gives A''B''C''D'' from A'B'C'D' is the a translation 6 units left and 1 unit up, which is; [tex]\mathbf{T_{-6, \, 1}}[/tex]

Therefore composition transformation that maps pre-image ABCD to

final image A''B''C''D'' is given by a reflection followed by a translation,

with the second transformation coming first in the expression as follows;

[tex]\underline{T_{-6, \, 1} \ \circ \ r_{x-axis}(x, \, y)}[/tex]

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Related Questions

When rounded to the nearest hundred, the number of seats in Aces Baseball Stadium is 9,100. What is the greatest number of seats that could be in this stadium?

Answers

9149 is the greatest number or seats

a^4 x b^3 (a^5xb^2) What is this simplified?

Answers

Answer:

a^9b^5x^2

I think that is right

Question:

[tex]a^{4}*b^{3}*(a^{5}*b^{2}[/tex][tex])[/tex]

Answer:

[tex]a^{9}b^{5}[/tex]

Step-by-step explanation:

remove brackets:

[tex]a^{4}b^{3}a^{5}b^{2}[/tex]

Simplify:

[tex]a^{9}b^{5}[/tex]

The formula for calculating annual insurance premiums is
A. p = 20
B. p = 2db
C. p = 2d1
D. p = 120

Answers

Your answer is ..................B

Answer: Letter “B”, aka, “p=2db”.

Step-by-step explanation:

There is no explanation to this!

Select the correct answer from the drop-down menu.
Which expression represents the quotient of this model?
-x-2
X-2
-X + 2
x+2
quotient:

Answers

Answer:

The correct option is C.

C) -x + 2

Step-by-step explanation:

In mathematics, the term which is being divided is called a dividend. The term by which the dividend is getting divided is called a divisor. The quotient is the term we get after dividing the dividend by a divisor.

Here in this case, the dividend is written.

-x²    x    x

which in the equation form is written as

-x² + x + x

add the x terms to simplify

-x² + 2x

The divisor is given as x, divide the equation by x:

(-x² + 2x)/x

(-x²/x) + (2x/x)

-x+2

Which is the quotient.

Answer:

C

Step-by-step explanation:

What is the value for y?
Enter your answer in the box.

Answers

Answer:

y = 14

Step-by-step explanation:

The sum of the angles in a triangle add to 180 degrees

50 + 2x+ 5y + 10 = 180

We know that 2x = 50 since they are the base angles of sides that have the same length, they must be the same

50 + 50 + 5y+10 =180

Combine like terms

110 + 5y =180

Subtract 110 from each side

110+5y-110 = 180-110

5y = 70

Divide each side by 5

5y/5 =70/5

y = 14

The answer is y = 14

If $4500 earns $120 simple interest at a flat rate of 2% p.a., calculate the duration of the investment.

Please help me with understanding the steps to getting the answer as well as the solution. Thx

Answers

Answer:

1.33 years.

Step-by-step explanation:

[tex]I=PRT[/tex]

[tex]120=4500(0.02)T[/tex]

[tex]120/90=T[/tex]

[tex]T=4/3[/tex]

A radio costs $45.00 and is on sale for 30% off. Find the final price of the radio after the discount.

Answers

Answer:

The original price is $45

Theres a discount of 30%

30% of 45 is found by multiplying both of the numbers:

30% x 45 = $13.5

The final price after the discount is $13.5

pls hit the thx button and mark me brainliest if this helped :)

Hey!!

Solution,

Marked Price(MP)=$45.00

Discount percent=30%

Now,

Discount amount=Discount % of MP

= 30% of 45

=$13.5

Again,

Sale price(SP)=MP-Discount

= 45-13.5

=$31.5

The final price of the radio after the discount is $ 31.5

Hope it helps

Good luck on your assignment

Plz help me Im stuck

Answers

Answer:

Step-by-step explanation:

Answer:

The answer is simple the slope is in the drop box

Step-by-step explanation:

The following blueprint of a kitchen has dimensions of 8 inches by 8 inches. The island has been highlighted in red.


The island's actual dimensions are feet by feet. If the scale of the blueprint is 1 inch = feet, what are the dimensions of the island on the blueprint?

Answers

Answer:

so assuming 1 3/4 feet by feet means 1 3/4 feet by 1 foot,

island actual dimentions=1 3/4 feet by 1 foot

scale=1 inch=1 feet

logically, blueprints are smaller so for every real foot, 1 inch is drawn on the scale

so change every foot to inch

so the island on the blueprint=1 3/4 inch by 1 inch

Step-by-step explanation:

this is for 7 not 8 just switch up the numbers

A cylinder has a base radius of 6 centimeters and a height of 20 centimeters. What is
its volume in cubic centimeters, to the nearest tenths place?

Answers

Solution,

Radius(r)=6 cm

Height(h)=20 cm

Volume of cylinder= pi (r)^2 h

=3.14*(6)^2*20

=3.14*36*20

=2260.8 cm^3

Hope it helps

Good luck on your assignment

The required volume of the given cylinder is 2260.8  cubic centimeters.

What is the volume of a cylinder?

The volume of a cylinder is equal to the product of the area of the circular base and the height of a cylinder. The volume of a cylinder is defined as the space occupied by the cylinder as the volume of any three-dimensional shape is the space occupied by it

V = πr²h

where 'r' is the radius of the base (circle) of the cylinder

'h' is the height of the cylinder

As per the given question, we have data as:

Radius(r) = 6 cm

Height(h) = 20 cm

Volume of cylinder = πr²h

Volume of cylinder = 3.14 × (6)² × 20

Volume of cylinder = 3.14 × 36 × 20

Volume of cylinder = 2260.8 cm³

Thus, the required volume of the given cylinder is 2260.8  cubic centimeters.

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Find the value of X in the triangle shown below

Answers

square root of 12 (D).

Answer:

D

Step-by-step explanation:

2^2 + x^2 = 4^2

4 + x^2 = 16

16-4=12

Determine the discriminant for the quadratic equation 0=-2x2+3. Based on the discriminant value, how many real number solutions does the equation have?


Discriminant = b2-4ac


0

1

2

24

Answers

Answer:

Option D.

The discriminat is equal to 24 which

Step-by-step explanation:

The quadratic equation is

-2x² + 3 = 0

Discriminat in quadratic equation tells us the number of solution a quadratic equation has.

For example, the quadratic equation

Ax² + bx + c = 0 will have a discriminat of b² - 4ac.

b² - 4ac is equal to the value of the discriminat and equal to the number of solutions the quadratic equation has.

In our question, we have -2x² + 3 = 0

A = -2

B = 0

C = 3

b² - 4ac = 0

Substitute the values into the above equation.

0² - 4(-2 ×3) = 0

0 + -4 × -6 = 0

24 = 0

The discriminat of the equation is 24

Answer

A.) 2

Step-by-step explanation:

Edge 2021

Polygons ABCD and A′B′C′D′ are shown on the following coordinate grid: What set of transformations is performed on ABCD to form A′B′C′D′? 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 polygonABCD is shown with vertex A on ordered pair 2, negative 2, vertex B on ordered pair 4, negative 2, vertex C on ordered pair 1, negative 3 and vertex D on ordered pair 5, negative 3. A polygonA prime B prime C prime D prime is shown with vertex A prime on ordered pair 1, 2 , vertex B prime on ordered pair 1, 4, vertex C prime on ordered 2, 1 and vertex D prime on ordered pair 2, 5. A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left, followed by a 90 degrees counterclockwise rotation about the origin A 270 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left A translation 1 unit to the left followed by a 270 degrees counterclockwise rotation about the origin

Answers

Answer:

  A 90 degrees counterclockwise rotation about the origin followed by a translation 1 unit to the left

Step-by-step explanation:

The transformation of coordinates for figure ABCD ⇒ A'B'C'D' is ...

   (x, y) ⇒ (-y-1, x)

__

We know the transformation ...

  (x, y) ⇒ (-y, x)

represents a CCW rotation by 90°. And the transformation ...

  (x, y) ⇒ (x-1, y)

represents a translation 1 unit left.

Combined, the rotation and translation produce the transformation described above. This figure has undergone ...

   a 90° CCW rotation about the origin, followed by a translation 1 unit left.

PLEASE HELP ME WITH THIS & IT DUE tomorrow.

ONLY DO 2 AND 3!!!!

PLEASE AND THANK YOU!!!

Answers

Answer:

the first one is 2.5, because if you divide the blue in half, you need to divide the yellow in half too

Answer 2:

copy and paste what i write or something:

3+2+1+1= 1 plum purple gallon. So for 3 gallons, you multiply each by 3.

So, Red tint=9

     Blue tint=6

     Yellow tint=3 and

     White tint=3

find the area of the isosceles triangle​

Answers

Answer:

60

Step-by-step explanation:

→Before you use the formula to find the area of the isosceles triangle, you must find the height, and to do this, you can use the Pythagorean Theorem:

[tex]a^2+b^2=c^2[/tex]

→We are given the hypotenuse, "c," as 13, and the leg is 5 (we split the base of 10 in half).

[tex]5^2+b^2=13^2[/tex]

[tex]25+b^2=169[/tex]

→Subtract 25 from both sides:

[tex]b^2=144[/tex]

→To get "b," by itself, take the square root of both sides:

[tex]\sqrt{b^2} =\sqrt{144}[/tex]

[tex]b = 12[/tex]

→Formula for area:

A = [tex]\frac{bh}{2}[/tex]

A = [tex]\frac{(10)(12)}{2}[/tex]

A = 60

The area of the isosceles triangle is 60 square units.

What is an area?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the triangle in a two-dimensional plane is called the area of the triangle.

The area is calculated by having the height of the triangle and the base of the triangle.

The height is calculated by using the Pythagorean theorem.

H² = P² + B²

13² = P² + 5²

P² = 169 - 25 = 144

P = √144 = 12 units

The perpendicular is the height of the triangle.

The area is calculated as:-

A = ( 1 / 2 ) x B x H

A = ( 1 / 2 ) x 10 x 12

A = 60 square units.

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A Pyramid has a square base with side s. The height of the pyramid is 2/3 that of its side. What is the expression for the volume of the pyramid?

Answers

Answer:

correct choice is option d  [tex]v=2/9*s^3[/tex]

Step-by-step explanation:

volume of pyramid is given by 1/3(Area of base* height)

Given base of pyramid is square with length of each side s

area of square is given by [tex]side^2[/tex]

Thus, area of base of pyramid = [tex]s^2[/tex]

Height of pyramid = 2/3  of  side of base of pyramid = 2/3* s = 2s/3

Therefore volume of pyramid = 1/3(area of base of pyramid *Height of pyramid)

                                            = [tex]1/3(s^2*2s/3)[/tex]

                                             = [tex]2/9*s^3[/tex]

Thus, correct choice is option d [tex]v=2/9*s^3[/tex]

Answer:

Option D

Step-by-step explanation:

[tex]v=\frac{2}{9} s^{3}[/tex]

The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?

A 27h = 144
B 36h = 144
C 2(27) + 36h = 144
D 2(36) + 27h = 144

Answers

The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?

The base of a prism has an area of 27 square inches and a perimeter of 36 inches. The surface area of this prism is 144 square inches. Which equation below could be used to find h, the height of this prism, in inches?

I really need this done because it's the end of the year. 15 POINTS! asap please :D

Answers

Answer:

im not sure that seams hard but if you take some graph stuff off all of them exept for the biggest one and try to even it out then that should help you out.

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

because the it is the highest number on the chart

yooooyooyoyyoyoyoyoyo I neeed help plz someone

Answers

Answer:

13, 14

Step-by-step explanation:

Solve the inequality, that is

Given

x + 2x + 6 < 50, that is

3x + 6 < 50 ( subtract 6 from both sides )

3x < 44 ( divide both sides by 3 )

x < 14 [tex]\frac{2}{3}[/tex]

The values in the set that are less than this value are 13 and 14

The answer will be 13,14

PLEASE HELP ME IF YOU CAN!


Many states use a lottery such as Powerball®. Game tickets select 5
white balls numbered from 1 to 69 and one red ball numbered from
1 to 26. Suppose a person wanted to purchase a lottery ticket every minute, each one with a new combination of numbers. At that rate, how many days would it take to purchase all possible ticket combinations?

Answers

Answer:

292,201,338 would be the answer to your question

Number of days purchase all possible ticket is 292,201,338

Given:

Number of white ball selected = 5

Total number of ball = 69

Number of red ball = 26

Find:

Number of days purchase all possible ticket

Computation:

Number of days purchase all possible ticket = ⁶⁹C₅ × ²⁶C₁

Number of days purchase all possible ticket = [69! / (5!64!)]26

Number of days purchase all possible ticket = [69 × 68 × 67 × 66 × 65 × 26] / [5 × 4 × 3 × 2 × 1]

Number of days purchase all possible ticket = 292,201,338

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Expand the polynomial 6x(x–3)–x(2–x)

Answers

Please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Stay safe

Answer:

7x^2-20x

Step-by-step explanation:

6x(x-3)-x(2-x)

6x^2 - 18x -2x + x^2

7x^2-20x

Which equation can be used to find the unknown length, a, in this triangle? a² + 15² = 17² 15² + 17²= a² a² + 15 = 17² a + 15² = 17²

Answers

Answer:

a^2 + 15^2 = 17^2

Step-by-step explanation:

This is a right triangle so we can use the Pythagorean theorem

a^2 + b^2 =c^2

where a and b are the legs and c is the hypotenuse

a^2 + 15^2 = 17^2

Answer:

Answer is A

Step-by-step explanation:

its what the guy above me is saying

How is the the graph of y=
1
2x - 6
obtained from the graph of y = ?
A)
Vertically stretched by a factor of 2 and shifted right by 3 units.
B)
Vertically stretched by a factor of 3 and shifted right by 2 units.
Horizontally stretched by a factor of 2 and shifted left by 3 units.
D)
Horizontally compressed by a factor of 2 and shifted right by 3 units.

Answers

Answer:

did u ever find out the answer ?

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

If f(x) = -2x2 + x – 5, what is f(3)?

Answers

F(3)=2x2-3-5

= 4-3-5

=1-5

=-4

Please help I’m second guessing this and I know I shouldn’t be but I need need an second opinion. Thanks ps the questions are on the bottom!

Answers

Answer:

The kangaroo and Sugar glider

Step-by-step explanation:

They both have 4 x’s (relations) and are found in Australia

The rat snake is least related looking on the chart there’s only one relation between the animal and the others

How much longer does it take a automoblie to travel one mile at 20 miles per hour than at 30 miles per hour? show your work.
a. 1 minute
b. 10 minutes
c. 20 minutes
d. none of these answers.

Answers

Answer:

A

Step-by-step explanation:

At the rate of 20 miles per hour, the car will travel 20 miles every 60 minutes, or a third of a mile every minute. This means that it will travel a mile in 3 minutes. For the car travelling at 30 miles per hour, it will travel half a mile every minute, or a mile every 2 minutes. 3-2=1 minute, or choice A. Hope this helps!

The answer is A ! 1 minute

A circle has a radius of \blue{10}10start color #6495ed, 10, end color #6495ed. An arc in this circle has a central angle of 72^\circ72 ∘ 72, degrees. What is the length of the arc? Either enter an exact answer in terms of \piπpi or use 3.143.143, point, 14 for \piπpi and enter your answer as a decimal.

Answers

Answer:

pi pi pi pi

Step-by-step explanation:

The arc length covered by the central angle equal to 72° is 12.56°

What are arc length?

Arc length is the distance between two points along a section of a curve.

Given that, a circle with radius 10 units and a central angle equals 72°, we need to find the arc length covered by the central angle = 72°

We know that,

Arc length = 2π × radius × (θ / 360°), where θ is the central angle

Arc length = 2 × 3.14 × 10 × 72°/360°

= 12.56°

Hence, the arc length covered by the central angle equal 72° is 12.56°

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The complete question is attached

Translate the sentence into an equation.
Five times the sum of a number and 3 equals 4.
Use the variable y for the unknown number.

Answers

Answer:

5*x+3=4

Step-by-step explanation:

-2

The expression can be written as 5x + 3 =4 and the value of y is 0.2.

What is an expression?

Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that five times, the sum of a number and 3 equals 4. the expression can be written as,

5x + 3 = 4

5x = 4 - 3

5x  = 1

x = 1 /5 = 0.2

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In two the three sentences, explain how you find the value that would complete the ordered pair if the point is on the
graph of f(x) = 4x - 6?
(3,_____)

Answers

To find the value that would complete the ordered pair you would have to plug x, which is 3, into the x in the equation f(x)=4x-6. So, you would multiply 4 by 3 and then subtract 6. The answer you get from that is 6 which is y, or f(x).

what is 4x - 13x =18 will mark brainliest

Answers

Answer:

X = -2

Step-by-step explanation:

4x - 13x = 18

(4 - 13 = -9)

-9x = 18

Divide both sides by -9

x = -2

Answer:

x=-2

Step-by-step explanation:

They already explained ig ^

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