The coordinates of the vertices of △JKL are J(1, 4) , K(6, 4) , and L(1, 1) .


The coordinates of the vertices of △J′K′L′ are J′(0, −4) , K′(−5, −4) , and L′(0, −1) .



What is the sequence of transformations that maps △JKL to △J′K′L′ ?


reflection across the x-axis

rotation of 180° about the origin

rotation of 90° counterclockwise about the origin

translation 1 unit left


A sequence of transformations that maps △JKL to △J′K′L′ is a _________ followed by a ___________?

Answers

Answer 1

Answer:

The sequence of transformations are;

A translation by 1 unit left, followed by a reflection across the x-axis

Step-by-step explanation:

Here, we want to know the transformation sequence

Let us select one point

J(1,4)

to J’(0,-4)

To translate 1 unit right means that we are subtracting the value of 1 from the x-coordinate

That leaves us with (0,4)

To get the change in the y-coordinate value to negative, it means that we have reflected over the x-axis

x-axis reflection turns (x,y) to (x,-y)

So, the sequence of transformations that maps the two is;

A translation by 1 unit left followed by a reflection across the x-axis

Answer 2

Answer:

translation 1 unit left, then 180 degrees

Step-by-step explanation:

J (1,4)

K (6,4)

L (1,1)

Moving it 1 unit left,  x unit - 1

J (0,4)

K (5,4)

L (0,1)

Now, rotate it 180 degrees, (x,y) = (-x,-y)

J' (0,-4)

K' (-5,-4)

L' (0,-1).

Hence, the triangle JKL is transformed into triangle J'K'L' when a triangle JKL translates 1 unit to the left and then rotate 180 degrees about the origin.


Related Questions

A football field is 300ft long a sloth moving very quickly travels 60ft every 5 minutes based on this ratio how many minutes would it take a sloth to travel the length of a football field

Answers

Answer:

25 minute

Step-by-step explanation:

Speed is the ratio of the total distance traveled  to the total time taken to reach this distance. The formula for speed is:

Speed = total distance / total time taken

The total distance covered by the sloth = 60 ft, and the time taken = 5 minutes, hence:

Speed = total distance / total time taken

speed of the sloth = 60 ft / 5 minutes = 12 ft per minute.

We can calculate the time taken for the sloth to travel the length of the football field (i.e. 300 ft)

speed = distance / time

12 ft/minute = 300 ft / time

time = 300 ft / (12 ft/minute)

time = 25 minute

Find the area of a 60 degree sector with radius 10.
Select one:
a. 209
b. 52.3
c. 188
d. 314

Answers

Answer:

(b) 52.3

Step-by-step explanation:

Given that,

Radius, r = 10

Angle, [tex]\theta=60^{\circ}[/tex]

We need to find the area of the sector. The formula for the area of the sector is given by :

[tex]A=\dfrac{\theta}{360}\pi r^2\\\\=\dfrac{60}{360}\times \dfrac{22}{7}\times (10)^2\\\\=52.3\ \text{unit}^2[/tex]

Hence, the correct option is (b).

11+x+13=40

Challenge of the day

Answers

Answer:

11+x+13=40

Step 1: Simplify both sides of the equation.

11+x+13=40

(x)+(11+13)=40(Combine Like Terms)

x+24=40

x+24=40

Step 2: Subtract 24 from both sides.

x+24−24=40−24

x=16

Answer:

x = 16

Step-by-step explanation:

11 + x + 13 = 40

x + 24 = 40

x = 40 - 24

x = 16

Thus, The value of x is 16

-TheUnknownScientist

Which equation choice could represent the graph show below?

Answers

Answer:

A

Step-by-step explanation:

Hopefully this helps

please help! it’s due rn

Answers

Answer:

It's 9

Step-by-step explanation:

2x+10=3x+1

-x=-9

x=9

Cecil weighs the same as the combined weight of Bruce and Alan. Use the expressions you found in parts A and B to write an expression
for Cecil's weight in terms of Dylan's weight.

Answers

I need to see the full problem

Answer: Cecil’s weight is the sum of Alan's weight and Bruce's weight.

Alan’s weight in terms of Dylan's weight is 2d + 3.

Bruce’s weight in terms of Dylan's weight in 3d − 12.

So, the expression for Cecil’s weight in terms of Dylan’s weight is (2d + 3) + (3d − 12).

IM THE COOL KID 121212

Answers

rEaLlYyYyyYyYyyHyYhHhhYuYy
Good for you cool kid. I aspire to be as cool as you.

Y= |x| + 2

Complete the table below

Answers

Answer:

5

3

2

3

5

Step-by-step explanation:

What are the coordinates of the origin?
(1,1)
(0,0)
(-1,1)
(1,-1)

Answers

Answer:

(0,0)

Step-by-step explanation:

Answer:

0,0 because that’s were it starts at

Step-by-step explanation:

Can i get brainiest think

HELP ME HELP ME HELP ME HELP HELP MEEEE

Answers

Answer:

Infinatly many solutions

Step-by-step explanation:

mark me brainlyest

Answer:

i would say a or b but probably b

Step-by-step explanation:

Which of the following would be considered a sunk cost?

Answers

where's the "following" choices

What is the range of the function?

Answers

Answer:

(0, 10)

Step-by-step explanation:

There is a dotted line at the end, therefore, it doesn't keep going so its (0, 10)

Fatima paid for 5 pallets of grass to be delivered each pallet of grass cost 129.95. Fatima paid $76.20 for delivery. What is the total amount Fatima paid?

Answers

129.95 x 5 = 649.75

649.75 + 76.20 = 725.96

1.
ENGINEERING At an engineering school, students are challenged to design
a container that prevents an egg from breaking when dropped from a height of
50 feet. Write an equation giving a container's heighth (in feet above the
ground after t seconds. How long does the container take to hit the ground?

Answers

Answer:

b

Step-by-step explanation:

b

Solve for x for the triangle

Answers

Answer:

(appx) 4.3

Step-by-step explanation:

[tex] \sin(64) = \frac{x}{10} [/tex]

[tex] = > 0.43 = \frac{x}{10} [/tex]

[tex] = > x = 4.3[/tex]

Which is not proportional to 3/7?
6/14
12/28
0.3/0.7
9/28

Answers

Answer:

9/28

Step-by-step explanation:

3*3 = 9

7*3 = 21 not 28

hence, this fraction isn't proportional

What are the slopes of the graphs

Answers

Answer:

1. 1/3

2. -2

3. 0

4. -2

5. 2/3

6. 0

Step-by-step explanation:

I'm going left to right for each graph just for clarification so you don't get confused.

I hope this helps and if it did I would appreciate it if you marked me Brainliest. thank you and have a nice day!

The Martin family and the Kelly family each used their sprinklers last summer. The water output rate for the Martin family's sprinkler was 30L per hour. The water output rate for the Kelly family's sprinkler was 35L per hour. The families used their sprinklers for a combined total of 60 hours resulting in a total water output of 1925L. How long was each sprinkler used?​

Answers

Answer:

The Martins used their sprinkler for 35 hours, while the Kellys used their sprinkler for 25 hours.

Step-by-step explanation:

As the Martins and the Kellys used their sprinklers for 60 hours combined last summer, and the water output rate of the Martins' sprinkler is 30 liters per hour, while the Kelly's is 35 liters per hour To determine how many hours each family used their sprinklers, knowing that in total 1925 liters of water were used, the following logical reasoning must be carried out:

There is a 5 liter difference between the Kelly sprinkler and the Martin sprinkler. If both used 30 liters of water per hour, for 60 hours 1800 liters (30 x 60) would have been used. Therefore, there is an excess of 125 liters that corresponds to an excess of consumption, attributable to the Kelly sprinkler, which consumes 5 liters more of water per hour than the Martin's. Thus, since 125/5 equals 25, in total the Kellys used their sprinkler for 25 hours, while the Martins did it for 35 hours.

This reasoning is proved with the following calculation:

25 x 35 = 875

35 x 30 = 1,050

875 + 1,050 = 1,925

What’s the answer for this?

Answers

Answer: That is the answers.

Step-by-step explanation:

answer these BOTH. PLEASE! if u answer both correctly i'll give u brainliest and extra points please please please.

Answers

Answer:

9. x = 12

10. x = 31

Step-by-step explanation:

9. Corresponding angles are equal, so technically you can move that (7x - 20) to be diagonal with the (4x + 16). Along with the corresponding angle, diagonal angles are equal to each other. Therefore you can set (7x - 20) equal to (4x + 16) to find x.

7x - 20 = 4x + 16

Solve

3x - 20 = 16

3x = 36

x = 12

Therefore x is equal to 12

Check:

4(12) + 16

= 64

7(12) - 20

= 64

10. All angles in a triangle have to add up to 180 degrees. Therefore, you can write your equation like this:

x + 2x + 25 + 2x = 180

Combine like terms

5x + 25 = 180

Solve

5x = 155

x = 31

Therefore, x = 31.

Check:

31 + 2(31) + 25 + 2(31) = 180

31 + 62 + 25 + 62 = 180

180 = 180

I hope this helps!!

- Kay :)

Order the numbers from greatest to least value.
1.444.
29|13
0.875
47|45

Answers

Answer:

0.875, 47/45, 1.444, 29/13

Step-by-step explanation:

0.875 is the least then 47/45 is 1.0444 as a decimal then 1.444 then 29/13 is 2.23 as a decimal hope that helps

Converse statement. If this month is February then the next month is march

Answers

Answer:

If the month is march then the next month is February

Step-by-step explanation:

please help it’s urgent!!

Answers

Answer:

I believe the answer is A

Step-by-step explanation:

Since when translating down it moves the Y variable and not the X and when reflecting it will turn negative X (-3) into positive 3

Nicole bought six pounds of apples at $1.50 per pound. The store had a discount of $2 off her total purchase. Nicole and her friend then divided the cost of the purchase evenly. Which expression can be used to determine how much Nicole and her friend each paid for the apples?
A)[(6 × 1.50) – 2] ÷ 2
B) 6 × 1.50 – 2 ÷ 2
C) 6 × [1.50 – (2 ÷ 2)]
D) 6 × 1.50 – (2 ÷ 2)

Answers

Answer:

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Step-by-step explanation:

Find the cost of 6 pounds of apples:

1 pound = $1.50

6 pounds = 6 x 1.5

Price after discount:

Discount = $2

Price after discount = (6 x 1.5) - 2

The cost is shared with her friend:

One person = [(6 x 1.5) - 2] ÷ 2

Answer: (A)  [(6 x 1.5) - 2] ÷ 2

Seven more than three times a number is twenty-eight.
Write the equation for this problem and solve it.

Answers

Answer:

7+3n=28 and the answer would be n=7

Step-by-step explanation:

7+3n=28 subtract 7 on both sides, that would leave 3n=21, divide 3 on both sides, the answer would be n=7 if I'm correct. I hope I helped.

A test has 25 questions.
If peter gets 80% correct, how many questions did peter MISS!
(Whoever answers can you please give me a clear explanation?)

Answers

Answer:

Peter missed five questions.

Step-by-step explanation:

Since the test has twenty-five questions, and Peter got 80% correct...

80/100 = __/25 <--What number is the numerator?

Well, to get from 100 to 25, you have to divide by 4. 100/4 = 25.

Now, what is 80/4? If you do the math, you should get 20.

25 (Total Questions) - 20 (Questions Correctly Answered) = 5 (Questions Incorrectly Answered)

A recipe for punch uses 2 cups of grape
juice and 3 cups of orange juice. How many
cups of orange juice are needed if 6 cups of
grape juice are used?

A 7 cups

B 9 cups

C 15 cups

D 30 cups

Answers

Answer:

B 9 cups

Step-by-step explanation:

Grape juice to orange juice ratio is 2:3, for every 2 cups of grape juice 3 cups of orange juice are used.

6/2=3

3 x 3 =9

for every 6 cups of grape juice, 9 cups of orange juice are used

Check for answer by seeing if the ratio matches up.

6:9 simplified is 2:3.

Answer is correct.

Answer: B


Explanation: we can set the formula to 2/3 then find what to multiply the 2 to get 6 which would be three then we multiply three with three and get nine have a nice day (:

SRRY IK LAST QUESTION FOR REAL THIS TIME

Answers

Answer:

Option (A)

Step-by-step explanation:

Volume of a cylinder is given by the formula,

V = πr²h

Here r = radius of the cylinder

h = height of the cylinder

Therefore, volume of a cylinder given in the question,

V = π([tex]\frac{18}{2}[/tex])²(8)

  = 648π

  = 2035.8 km²

Volume of the given cylinder is 2035.8 km².

Option (A) will be the answer.

Plz need help. I’m stuck on this one

Answers

Answer:

The product of 3[tex]\sqrt{8}[/tex] (4 [tex]\sqrt{3}[/tex]) is 24[tex]\sqrt{6}[/tex]

The answer is A.

f(x)=2x+3 find the
x-int:
y-int:
Asymptote:
End behavior:
Also put in a table f(x)=2x+3

Answers

The horizontal asymptote of a rational function can be determined by looking at the degrees of the numerator and denominator. Degree of numerator is less than degree of denominator: horizontal asymptote at y = 0.
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