Line segment RS has endpoints R(– 2, 4) and S (– 4, – 1). Line segment R''S'' has endpoints R'' (3, – 3) and S'' (5, 2). Name the transformations that map line segment RS to line segment R''S''. reflection over the line y = x, followed by a translation (x, y) → (x + 1, y + 1) rotation of 180° about the origin, followed by a translation (x, y) → (x + 1, y + 1) rotation of 90° counterclockwise about the origin, followed by a translation (x, y) → (x + 2, y + 1) translation (x, y) → (x + 1, y + 1), followed by a rotation of 180°counterclockwise about the origin

Answers

Answer 1

Answer:

Rotation of 180° about the origin,

Followed by a translation (x, y) → (x + 1, y + 1)

Step-by-step explanation:

Given

[tex]R = (-2,4)[/tex]

[tex]S = (-4,-1)[/tex]

[tex]R" = (3,-3)[/tex]

[tex]S" = (5,2)[/tex]

Required

Determine the transformations

From the list of given options (B) answers the question.

Rotation of 180° about the origin,

When a point (x,y) is rotated 180 about the origin, the new point becomes (-x,y)

So:

[tex]R = (-2,4)[/tex]

[tex]S = (-4,-1)[/tex]

becomes

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

[tex]S' = (4,1)[/tex]

A translation (x, y) → (x + 1, y + 1)

This implies that 1 is added to the x and y coordinates

So:

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

[tex]S' = (4,1)[/tex]

becomes

[tex]R" = (2 + 1,-4 + 1)[/tex]

[tex]R" = (3,-3)[/tex]

[tex]S"=(4 +1,1+1)[/tex]

[tex]S" = (5,2)[/tex]


Related Questions

Convert 6 4/5 into improper fractions.

32/6
32/5
33/5
36/5

Answers

Answer: 34/5

Step-by-step explanation:

owen has a collection of nickels and quarters worth $8.10. If the nickels were quarters and the quarters were nickels, the value would be $17.70. Find the number of each coin.

Answers

there are 67 nickels and 19 quarters.Im pretty sure

An engineer designed a new bridge and drew the scale drawing shown below. 6 Inches If the engineer used the scale 3 inch = 40 feet, how long is the actual bridge the engineer designed?​

Answers

Answer:

The bridge is 80 feet long

Step-by-step explanation:

We will use the ratio method to solve the question

∵ The engineer used the scale 3 inch = 40 feet

∴ The scale drawing is ⇒ 3 inche :  40 feet

∵ The drawing length of the bridge is 6 inches

→ By using the ratio method

→  inch :  feet

→  3      :  40

→  6      :  x

→ By using cross multiplication

3 × x = 6 × 40

∴ 3x = 240

→ Divide both sides by 3

x = 80

∵ x represents the actual length of the bridge

The bridge is 80 feet long

I will award 30 points to anyone that can solve this. If i fail i have to retake

Answers

Answer: it’s all in the pictures hope this helps!!:)

Step-by-step explanation:

Answer:

x=-4, y=1

Step-by-step explanation:

One number is 6 less than another number. Their sum is 50. What is the smaller number?

If x = the larger number and y = the smaller number, then which of the following systems could be used to solve the problem?


x + y = 50 and -x + y = 6
x + y = 50 and x - y = 6
x + y = 50 and x + y = 6
x - y = 50 and x + y = 6

Answers

Answer:

y = 2x - 6

Step-by-step explanation:

PLEASE HELP ASAP!
log base4(x^2+x+4)=2 solve for x

Answers

Step-by-step explanation:

multiply all the numbers by 4 I think except for the exponent

Answer:

i-i13/2 hope this helps

Step-by-sitep explanation:

PLS HELP!!
What is the volume of a cone with a radius of 5 inches and a height of 12 inches? (Use 3.14 for .)
942 cubic inches
314 cubic inches
376.8 cubic inches
125.6 cubic inches

Answers

Answer:

The height of the cone-shaped cup is 6 inches and the diameter at the top is 3 inches. ... To find the volume of the cone, you use a formula similar to that of a pyramid, ... \begin{align*}V & = \frac{1}{3} \pi r^2 h \\ V & = \frac{1}{3} (3.14)(5^2 )(7) ... The answer is the volume of the cone is 183.16 cubic inches.

Step-by-step explanation:

i think thats it it was right on gogle

Please answer fast
Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.

Norma is a salon owner. Yesterday, she did 1 haircut and colored the hair of 2 clients, charging a total of $217. Today, she did 2 haircuts and colored the hair of 1 client, charging a total of $155. How much does Norma charge for her services?

Answers

Answer:

A haircut costs $31

Coloring hair costs $93

Step-by-step explanation:

h = haircut

c = color

First equation: 1h + 2c = 217

Second equation: 2h + 1c = 155

Solve using elimination:

First, multiply both the equations so that they cancel the h's out:

First equation:

-1(2h + 1c = 155)

-2h - 1c = -155

Second equation:

2(1h + 2c = 217)

2h + 4c = 434

Then, put the equations together, and solve:

2h + 4c = 434

-2h - 1c = -155

3c = 279

c = 93

Find h:

2h + 1c = 155

2h + 1(93) = 155

2h + 93 = 155

2h = 62

h = 31

Hope this helped!

A store is having a 20 percent off sale on all merchandise. If Mai buys one item and saves $13, what was the original price of her purchase? Explain or show your reasoning.

Answers

Answer:

$65

Step-by-step explanation:

Given

Percentage discount = 20%

Equivalent amount saved = $13

Let the original price of the product be x

To get x;

20% of x  = 13

0.2x =  13

0.2x  = -13

0.2 = 13

x = 13/0.2

x = $65

Hence the original price of the product is $65

help me please I dont know the answer and I am cleaning the house for my mom​

Answers

17/20 = t + (- 13/20)

t = 17/20 + 13/20

t = 30/20

t = 1.5

If the weight of a package is multiplied by 5/6 the result is 10 lbs. Find the weight of the package.

Answers

Answer:

Step-by-step explanation:

1

. Start by making a "let statement."

Let

x

represent the weight of the package.

2

. Create an algebraic expression.

5

7

x

=

40.5

i

pounds

3

. Isolate for

x

by dividing both sides by

5

7

.

5

7

x

÷

5

7

=

40.5

i

pounds

÷

5

7

4

. Recall that in order to divide a fraction by another fraction, take the reciprocal of the divisor and change the division sign to a multiplication sign.

5

7

x

7

5

=

40.5

i

pounds

7

5

5

. Solve for

x

.

5

7

7

5

x

=

40.5

7

5

i

pounds

x

=

¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯

a

a

56.7

i

pounds

a

a

−−−−−−−−−−−−−−−

Twelve plus the product of twelve and a number is seventy-two.”

Answers

The equation for this problems is 12+12x=72. The solution to the equation is x=5.


Steps:
12+12x=72
Minus 12 from both sides

12x=60
Divide both sides by 12

60/12=5

Simon bought 3.5 pounds of Beef on sale for $1.25 per pound at HEB. If Simon gave the cashier $10.00, how much change would he receive from this purchase?

Answers

Answer:

5.625

Step-by-step explanation:

PLEASE HELP ME!!!!
What is the domain and range of the relation shown in the table?

Answers

Answer:

the answer is c

Step-by-step explanation:

good luck

Answer:

last option

Domain: -3,-1,2,5    Range: 0,2,4

It may be the one above it but you have to be careful because it might say that 0 is a real number or it is not. Fair warning!

Step-by-step explanation:

The domain is the x values and the range is the y values.

Hope this helps!

Emma throws an object upward from a hill that is 64 feet high. The object has an initial velocity of 48 feet per second. The function y = -16x2 + 48x + 64 represents the height of the object, y, in terms of the time elapsed after the object is thrown, x.

Answers

Answer:

100feet

Step-by-step explanation:

Given the height of the object modelled by the equation

y = -16x^2 + 48x + 64

We can find the maximum height reached by the object since we are not told what to find.

The velocity of the object at its max height is zero.

dy/x = 0

dy/dx = -32x + 48

0 = -32x + 48

32x = 48

x = 48/32

x = 1.5secs

get the max height by substituting x = 1.5 into the given equation:

y = -16x^2 + 48x + 64

y = -16(1.5)^2 + 48(1.5)+ 64

y =  -36+72+64

y = 100 feet

Hence the maximum height reached by the object is 100feet

Choose Yes or No to tell whether each value of p is a solution for this inequality.
10p – 8 ≥ 12



0 yes or no

1 yes or no

2 yes or no

3 yes or no





can you answer all 4 of please

Answers

1.) No

2.) No

3.) Yes

4.) Yes.

Find the difference.

89 – 52.05
A. 36.95
B. 35.95
C. 37.95
D. 37.05

Answers

The answer your looking for is A. 36.95
Just calculate 89-52.05 into a calculator not that hard lol

Order from least to greatest
6.8
The square root of 54/3
The square root of 13
26/3
PLEASE HELP

Answers

Your answer will be :

the square root of 14, the square root of 54/3, 6.8, the square root of 26/3.

PLEASE HELP!! WILL GIVE BRAINLIEST!!!

Answers

12 cups= 3 quarts

there ya goo

please solve this i need this answer ​

Answers

Answer:

GHC

Step-by-step explanation:

Answer:

the co-interior angle of angle AGH is Angle GHC.

There are 914.4 millimeters in a yard . There are 3 feet in a yard . How many millimeters are in a foot !

Answers

Answer:

304.8 millimeters

Step-by-step explanation:

Answer:

0.003

Step-by-step explanation:

I need help! please help

Answers

Answer:

B

Step-by-step explanation:

Please mark me brainleist

the sum of renting bowling shoes for $6 and $3 per game

Answers

3x +6b = x
b is the number of bowling shoes you rent

Answer:

9

Step-by-step explanation: 6+3=9

The rent is $9

Identify the slope of the table​

Answers

Answer:

The alop is 4. Glad this helps.

Answer:

the slope is 4

Step-by-step explanation:

Help... pls ASAP Fill in the blanks

Answers

Answer:

I got this! Basically, the instructions say 12 gallons per 3 minutes. So you plug in the 12/3 to find the ratio of how many gallons per 1 minute.

Step-by-step explanation:

So, for the chart you just mulitply and evauluate

Time (min)           | 2 |  3 |  4 |   5  |   6 |

Water used (gal) | 8 | 12 | 16 | 20 | 24 |

1. solve for x
2(-3x+1) < -5x+14

2. -2(3x+15) less than or equal to 42​

Answers

Answer:

For your first question, the solution is x> -12

Step-by-step explanation:

First, expand 2(-3x+1), writing it as -6x+2

Next, subtract both sides by 2;

-6x + 2 - 2 < -5x + 14 - 2

Then, we simplify;

-6x < -5x + 12

Next, add both sides to 5x;

-6x + 5x < -5x + 12 + 5x

Simplify;

-x<12

Then, multiply both sides by -1, using reverse of inequality;

(-x)(-1)>12(-1)

Finally, simplify;

x>-12

Answer:

The answer to your second question is x is greater than or equal to -12.

Step-by-step explanation:

First, multiply both sides by -1, reversing the inequality;

(-2(3x+15))(-1) greater than or equal to 42(-1)

Next, simplify;

2(3x+15) greater than or equal to -42

Then, divide 2 from both sides;

2(3x+15/2 greater than or equal to -42/2

Next, simplify;

3x + 15 greater than or equal to -21

Then, we subtract both sides by 15;

3x+15-15 greater than or equal to -21-15

Simplify;

3x greater than or equal to -36

Next, divide 3 from both sides;

3x/3 greater than or equal to -36/3

Finally, simplify;

x greater than or equal to -12

I hope we helped you answer your question.

Anybody wanna help me on this?

Answers

Answer:

(0,-2) , (2,1) , (4,4)

Step-by-step explanation:

those are the points, now connect then with a line

6.8 * 10(2)
*keep in note that "2" is an exponent in this question*

Answers

Answer:

68

Step-by-step explanation:

6.8 × [tex]10^2[/tex]

= 68

how do you find the y - intercept (explain in sentences)

Answers

find the x-intercept of a given linear equation, plug in 0 for 'y' and solve for 'x'. To find the y-intercept, plug 0 in for 'x' and solve for 'y'. In this tutorial, you'll see how to find the x-intercept and the y-intercept for a given linear equation. Check it out!

ASSIGNMENT DUE IN 30 MINS PLZ HELP!!!!
I WILL GIVE U BRAINLIEST!!!

Answers

I don’t understand sorry
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