In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).

Answers

Answer 1

Answer:

In quadrilateral ABCD, A = (0, 0), B = (3, 2), C = (4, −2), and D = (3, −3). Describe the image of ABCD under the translation T<−4, 2> by dragging and dropping the vertices of ABCD to the corresponding vertices of T<−4, 2>(ABCD).

Step-by-step explanation:

Answer 2

The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].

Vectorially speaking, a translation is defined by the following formula:

[tex]P'(x,y) = P(x,y) + T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Original point.[tex]T(x,y)[/tex] - Translation vector.[tex]P'(x,y)[/tex] - Resulting point.

If we know that [tex]A(x,y) = (0,0)[/tex], [tex]B(x,y) = (3, 2)[/tex], [tex]C(x,y) = (4, -2)[/tex], [tex]D(x,y) = (3, -3)[/tex] and [tex]T(x,y) = (-4,2)[/tex], then the resulting points of the rectangle are:

[tex]A'(x,y) = (0, 0) + (-4, 2)[/tex]

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

[tex]B'(x,y) = (3, 2) + (-4,2)[/tex]

[tex]B'(x,y) = (-1, 4)[/tex]

[tex]C'(x,y) = (4,-2) + (-4, 2)[/tex]

[tex]C'(x,y) = (0, 0)[/tex]

[tex]D'(x,y) = (3, -3) + (-4, 2)[/tex]

[tex]D'(x,y) = (-1, -1)[/tex]

The image of ABCD is formed by points [tex]A'(x,y) = (-4, 2)[/tex], [tex]B'(x,y) = (-1, 4)[/tex], [tex]C'(x,y) = (0, 0)[/tex] and [tex]D'(x,y) = (-1, -1)[/tex].

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Related Questions

The area of a circle having radius 14 cm is
cm.
Use *
22
7

Answers

Answer:

A=616cm²

Step-by-step explanation:

The question says to use

[tex] \frac{22}{7} [/tex]

for pi, now that we know that we proceed like normal and do the formula like this.

[tex] \frac{22}{7} {r}^{2} \\\frac{22}{7} \times 196 \\ = 616[/tex]

Javier and his family drink 3 gallons of milk each week. Javier drinks 5 quarts of milk each week. How many pints of milk does the rest of his family drink during the week?
A.12
B.14
C.7
D.10

Answers

Answer:

So basically Javier and his family drink a total of 12 quarts of milk each week because 1 gallon of milk is 4 quarts so Javier drinks 5 quarts 12-5=7

which leaves 7 quarts for his family. 2 pints are equal to a quart therefore 14 pints are left for his family

Need help with the correct answer please! Thank you. Which two triangles are congruent by the SSS Theorem? I picked D but that is the wrong answer.

Answers

Answer:

B

Step-by-step explanation:

RQ=TV

QS=VU

RS=TU

While proving that 2 triangles are congruent you have to consider the same side for both triangles.

The mistake you made was that you presumed that since both have equal sides they are equal,

In a sense that is true but you have align it in the correct way, in option D) it shows RQ is equal to TU which is wrong, RQ is equal to VT, you have align it in a proper way.

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Simplify: 4r342 - 6t2r3 + 3rt - 16

Answers

It’s probably the third one

Answer:

-2r3t2 + 3rt – 16

Step-by-step explanation:

Like terms have the same variables with the same exponents on each variable. Add their coefficients, and keep the same variables and exponents.

(b)
The store's website is offering the tablet at a 40% discount off the regular price. But Susan's coupon is in-store
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Answers

Answer:

Step-by-step explanation:

Susan's online tablet would be 40% of the price that

A mini laptop computer is on sale for 40% off the regular price of $450. How much is the discount?

180$

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Answers

Answer:

6/7

Step-by-step explanation:

answer is (7 right, 6 up) (7,6)

Can someone please help me with 2 math questions.

1. A TV is on sale for $399, or 16% off. What was the original price of the TV? Show your work.
2. A computer is on sale for $450.50, or 15% off. What was the original price of the computer? Show your work.

Answers

Answer:

Step-by-step explanation:

1) $399 = 84% of the original amount

Divide both sides by 84 to get what one percent would be

$4.75 = 1%

Then multiply both sides to get one hundred percent [the original price]

$475 =100%

Use this method to do the second question

$450.50 = 85%

Divide by 85

$5.30 = 1%

Multiply by 100

$530 = original price

530
Ygytccvuubvyybubby

PLEASE HELP ILL GIVE BRAINLIEST
PLEASE SHOW WORK

Answers

Answer:

A

Step-by-step explanation:

52÷262=.198--->> 19.8%

I need some help. Can someone assist me with this?​

Answers

Answer:

x = 12

WN = 28

Step-by-step explanation:

SO = WN and SO = 2WI

3x - 8 = 2(x + 2)

3x - 8 = 2x + 4

3x - 2x = 4 + 8

x = 12 now replace x with 12 in the first equation given

3x - 8 = 3×12 - 8

36 - 8 = 28

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Answers

Answer:

[tex]76 ft^3[/tex]

Step-by-step explanation:

First, split the figure into two different rectangular prisms. I found it easiest to split it like this (image attached below).

To find the volume of the lower prism, multiply the Length (6ft) x Width (2ft) x Height (3ft).

6 * 2 * 3 = 36 [tex]ft^3[/tex]

Next, subtract 3 from 8 to get the height of the top prism. 8 - 3 = 5, so the height of the top prism is 5.

Multiply the Length (4ft) x Width (2ft) x Height (5ft).

4 * 2 * 5 = 40 ft[tex]^3[/tex]

Add the two volumes.

40 + 36 = 76 ft^3.

Final answer: [tex]76 ft^3[/tex]

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Answer:

1600

Step-by-step explanation:

long= 8ft

tall= 20

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Natalie lost her job through no fault of her own. She had worked there for two years and the last year she earned $27,500. She has applied for unemployment insurance. What will her weekly benefit be?

Answers

Answer:

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Step-by-step explanation:

Answer:

550

Step-by-step explanation:

426 per week up to 26 weeks

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Answers

Answer:

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Step-by-step explanation:

Find the volume of the cylinder find volume of a cylinder with the same radius and double the height what is the volume of the cylinder

Answers

80 but I am not for sure

Answer:

1004.8^3

Step-by-step explanation:

to find the volume you must first get the area of the base

3.14 x 8 squared or 8^2 which will equal 200.96

then you multiply the base times height

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Answer:

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4 right angles: squares

4 right angles and 4 congruent sides: rectangles

4 congruent sides: rhombuses

Step-by-step explanation:

The area of a square is represented by the expression 16x^4y^8. What is the length of each side of this square

Answers

Answer: [tex]4x^2y^4[/tex]

Step-by-step explanation:

Given

The area of the square is [tex]A=16x^4y^8[/tex]

Suppose a is the side length of the square

The area of the square is given by

[tex]\Rightarrow A=(\text{side length})^2[/tex]

So, we can write

[tex]\Rightarrow a^2=16x^4y^8\\\Rightarrow a=4x^2y^4[/tex]

length of each side is [tex]4x^2y^4[/tex]

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x-axis, y-axis, y-axis

Answers

Answer:

Took FLVS test and got it right

A. y=x, x-axis, y=x, y-axis.

Step-by-step explanation:

Took FLVS test and got it right

A. y=x, x-axis, y=x, y-axis.

Which of the following represents “three times the abscissa decreased by the ordinate is twenty-two”?

3 x = 22 - y
y - 3 x = 22
3 x - y = 22

Answers

Answer:

3x - y = 22

Step-by-step explanation:

The abcisssa is known as the x coordinate while the ordinate is the y coordinate

abcissa = x

ordinate = y

“three times the abscissa = 3x

“three times the abscissa decreased by ordinate is expressed as;

3x - y

Is the result is 22, hence;

3x - y = 22

this gives the required expression

What is the x coordinate of the solution?
What is the y coordinate of the solution?

Answers

Answer:

the x coordinate is 1

the y coordinate is 1

Step-by-step explanation:

Answer:

1,1

Step-by-step explanation:

Jake has $500 in his checking account. He wants to spend part of this money on new sneakers, $350 left in his checking account after buying the sneakers.

Answers

The question is incomplete:

Jake has $500 in his checking account. He wants to spend part of this money on new sneakers, $350 left in his checking account after buying the sneakers. Whta was the price of the sneakers?

Answer:

The price of the sneakers is $150.

Step-by-step explanation:

In order to find the answer with the information provided, you have to subtract the amount left in Jake's checking account after buying the sneakers from the amount he initially had on the account:

$500-$350=$150

According to this, the answer is that the price of the sneakers was $150.

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Step-by-step explanation:

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Step-by-step explanation:

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A: the relationship between the slope of triangle DEF and the slope of triangle GHI cannot be determined.
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D

Step-by-step explanation:

Both have a slope of 3/2

Answer:

b

Step-by-step explanation:

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Answers

Answer:

1+25=25

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Step-by-step explanation:

Answer:

4 6 8 9 10 12 14 15 16 18 20 21 22 24

Which situation can best be modeled with an exponential function? A.The value of a car depreciating 6% each year. B.The cost to purchase different weights of bananas at a store. C.The total number of miles run by a person who runs 8 miles per day. D.The amount of money a salesperson makes if they make a salary plus 3% commission on total sales for the week.

Answers

Answer:

A.The value of a car depreciating 6% each year.

Step-by-step explanation:

According to definitions.net "The exponential function is used to model a relationship in which a constant change in the independent variable gives the same proportional change in the dependent variable."

Given that the car depereciate by 6% each year, I can write;

Let the initial value of the car be P

Let the value of the car at time t be Y

Let the number of years be t

This is a case of exponential decay so;

Y = P( 1 - 6/100)^t

WILL PAY FOR ANSWER PLS HELP


republican or democrat? explain.

Answers

Answer:

Democrat because Republican's are rasict and money hungry..!

PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!! PLSSS HELPPPP I WILLL GIVE YOU BRAINLIEST!!!!!!

Answers

Answer:

20.94 cm^3

Step-by-step explanation:

Volume of cone = 1/3 (pi r^2 h)

V = 1/3 (pi 2^2 × 5)

=20.94 cm^3

Mrs. Anderson is building a model for a pool. The actual pool is 32 yards long and 28 yards wide. If the scale factor is 0.5 inch = 2 yards, find the length of Mrs. Anderson's model pool.

Answers

Answer:

Step-by-step explanation:

Mrs. Anderson is building a model for a pool. The actual pool is 32 yards long and 28 yards wide. If the scale factor is 0.5 inch = 2 yards, find the length of Mrs. Anderson's model pool.

2 yards = 0.5 inch

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