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

please help me I don't understand what to do​

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Answer:

55 OZ

Step-by-step explanation:

please help me? :( I really need it!

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Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Simplify: x - 12 +5 - 4x

Answers

Answer:

-3x -7

Step-by-step explanation:

Add the numbers:

x-12+ 5-4x

x-7 -4x

Combine like terms:

x-7 -4x

-3x -7

Solution:

-3x -7

What is the next fraction in this sequence? 2/477, 2/159, 2/53, 6/52

Answers

Answer:

9/26

Step-by-step explanation:

2/159÷2/477=2/53÷2/159=6/52÷2/53=3

x÷6/52=3

x=18/52

x=9/26

What is the value of the expression 10^3 – 30 divided by 2 x 5 ?
A 0
B) 27
C) 100
D) 925

Answers

I believe that the answer to this questions is D) 925. I hope this helps!!!

A quality standard says that no more than 2 percent of the eggs sold in a store may be cracked. In 3 cartons (12 eggs each carton) 2 eggs are cracked.

Answers

Answer:

The quality standard is violated.

Step-by-step explanation:

In 3 cartons of eggs no more than 2% are crack.

Let's find out how many eggs are in the 3 cartons.

(3)(12) = 36

There are 36 eggs in all 3 cartons. To find how many are supposedly cracked we need to multiply 36 by the decimal for of 2%.

To change a percent to decimal form we move the decimal of the percent twice to the left. So 2% turns in to .02.

Now, multiply:

(36)(.02) = 0.72

Not even 1 egg in all 3 batches should be cracked.

Therefore, the quality standard has been violated.

In order for the quality standard to be upheld there would have to be 100 eggs and only 2 of them be cracked.

I hope this helps!!

- Kay :)

Write the polynomial in standard form.
8g- 9g3 +4g2 - 10
a. 9g3+4g2 + 8g - 10
B.-10 + 8g + 4g2 -9g3
c. 4g3 -9g2 + 8g - 10
d: 9g3 +4g2 + 8g - 10
Number 3

Answers

i believe the answer is A. 9g3+4g2+8g-10

What is 4h - 11 = h+ 16

Answers

h = 9
4h - 11 = h + 16
subtract h from both side and add 11 to both
3h = 27
divide both sides by three
h= 9

Triangle ABE ~ Triangle CDE. Find the length of altitude for NE.

Answers

Hope that it will help you

A pretzel stick measures 6 inches in length Mr Bates just took a bite of it and now it is 35% smaller Which of the following expressions can be used to
6(0.35)
6(0.65)
6-6 (0.35)
6- 6 (0.65)

Answers

Answer: B.

Step-by-step explanation: Mr. Bates made the pretzel 35% SMALLER. That means that the remains of the pretzel is 65% of the original 100% of the pretzel. Therefore, the answer is B.

the answer is B

it is 35% smaller which is another way of saying the pretzel is 65% of its original size. to find the new size we multiply it by .65 so the answer is B

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases.



Slopes are equal; therefore, segments are parallel

Answers

The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

How to prove: The segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases?

From the figure, we have the following coordinates

B = (a, 0)

D = (d, c)

The midpoint of line segment BD is calculated as

BD = 1/2 * (x1 + x2, y1 + y2)

So, we have

BD = 1/2 * (a + d, 0 + c)

This gives

BD = ((a + d)/2, c/2)

Also, we have:

Lines MN and AB are horizontal lines

This means that they have a slope of 0

i.e.

Slope of AB = Slope of MN = 0

Parallel lines have equal slope

Hence, the segment joining the midpoints of the diagonals of a trapezoid is parallel to the bases

Read more about parallel base at

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Soccer
Enter the ratio of hockey players to soccer players in the form and then as a decimal showing up to four
decimal places. Tell whether the decimal is a terminating or a repeating decimal.
10
The ratio is
The decimal form is
The decimal is terminating

Answers

Answer:

Ratio: [tex]=\mathbf{\frac{6}{11}}[/tex]

The decimal form (showing up to four  decimal places): 0.5454

The decimal is a repeating decimal i.e 0.54545454..

Step-by-step explanation:

We need to find ratio of hockey players to soccer players

Number of players playing Hockey= 6

Number of players playing Soccer = 11

Ratio: [tex]\frac{Hockey\:Players}{Soccer\:Players} =\mathbf{\frac{6}{11}}[/tex]

The decimal form (showing up to four  decimal places): 0.5454

Tell whether the decimal is a terminating or a repeating decimal.

The decimal is a repeating decimal i.e 0.54545454..

HElP HeLp HeLp PLEAse

Answers

Answer:

c. 35 miles per hour

Part A: A graph passes through the points (0, 2), (2, 6), and (3, 12). Does this graph represent a linear function or a non-linear function? Explain your answer in words.

Part B: Write one example of a linear function and one example of a non-linear function. (Use x and y as the variables) (10 points)

Answers

Answer:

Step-by-step explanation:

Part A: No. The line would have to be straight in order for the graph to be linear.

Part B:

Linear: y=2x-4.

Nonlinear: y=x^2-6.

PLEASE HELP IF YOU ANSWER CORRECTLY I WILL GIVE BRAINLYIST (sorry if I spelled it wrong) BUT PLEASE ANSWER FAST!

Answers

Answer:

The first option

Step-by-step explanation:

Answer:

1st one

Step-by-step explanation:

Opposite of positive 3 is negative 3.

Which number is prime?
58
74
84
41

Answers

Im pretty sure its 41!

What restriction should be applied to y = tanx for y = arctanx to be defined?

Answers

Answer:

restrict the domain to (-pi/2, pi/2)

Step-by-step explanation:

edge 2020

Answer: c. restrict the domain to (-pi/2, pi/2)

Step-by-step explanation:

Edge :)

Calculate the product below and give your answer in scientific notation.
(3.3 x 10-4) × (8.0 × 10⁰) = ?
X

Answers

Answer:

goood luccccccckkkk...

Find the of the slope of the line through (6,-10) and (4,-8)

Answers

Answer:

-1

Step-by-step explanation:

y = mx + c

m is the slope/gradient

to find slope = y2 - y1 / x2 - x1

= -8 - -10 / 4 - 6

m = -1

3(1)+2(_)=6

plz help on filling in the blank

Answers

Answer:

x = 3/2

Step-by-step explanation:

Let's solve your equation step-by-step.

(3)(1)+2x=6

Step 1: Simplify both sides of the equation.

(3)(1)+2x=6

3+2x=6

2x+3=6

Step 2: Subtract 3 from both sides.

2x+3−3=6−3

2x=3

Step 3: Divide both sides by 2.

2x/2  3/2

x = 3/2

Hope this helps :)

During a basketball game, Kevin made a total of 14 shots. Each basketball shot is worth either 2 points or 3 points. Kevin scored a total of 34 points. Let a represent the number of 2 point shots and let y represent the number of 3 point shots.

Answers

Answer:

following is the answer for your question this can be done in the manner

what 1/4 in index form?

Answers

Answer:

Step-by-step explanation:

4^-1

Step sis need a new dryer. Her thicc ahss couldn't fit

Answers

Answer:

HAHAHAHH

Step-by-step explanation:

(9x +10) (15x-2) solve for x

Answers

Answer:

x=2

Step-by-step explanation:

15x-9x = 6x

10+2 = 12

6x=12

x=2

Answer: x=2

Step-by-step explanation:

9x+10 = 15x-2

-9x         -9x

____________

10 = 6x-2

+2        +2

__________

12=6x

Divide

x=2

Four positive whole numbers add up to 93
One of the numbers is a multiple of 19
The other three numbers are equal.
Write the four numbers in ascending order.

Answers

Answer:

Let the numbers be a, b, c, d

[tex] { \tt{a + b + c + d = 93}}[/tex]

Let a be the multiple of 19, a = 57

And b = c = d

[tex]{ \tt{57+ 3b= 93}} \\ { \tt{3b = 36}} \\ { \tt{b = 12}}[/tex]

[tex]{ \tt{a = 57}} \\ { \tt{b = c = d = 12}} \\ \\ { \boxed{ \rm{12}}} \: \: { \boxed{ \rm{12}}} \: \: { \boxed{ \rm{12}}} \: \: { \boxed{ \rm{57}}}[/tex]

Answer:

12, 12, 12, 57

Step-by-step explanation:

Given:

Four positive whole numbers add up to 93.One of the numbers is a multiple of 19.The other three numbers are equal.

If one of the four numbers is a multiple of 19 and the other three numbers are equal, then the sum of the other three numbers will be a multiple of 3.

Multiples of 19:  

19, 38, 57, 76, 95, ...

Subtract each multiple of 19 (that is less than 93) from 93:

⇒ 93 - 19 = 74  →  not divisible by 3

⇒ 93 - 38 = 55  →  not divisible by 3

⇒ 93 - 57 = 36  →  divisible by 3

⇒ 93 - 76 = 17  →  not divisible by 3

The only result that is a multiple of 3 is 36.  

Therefore, the multiple of 19 is 57.

To find the other three numbers, simply divide the result of the total less the found multiple of 19 by 3:

⇒ (93 - 57) ÷ 3 = 36 ÷ 3 = 12

Therefore, the four numbers in ascending order are:

12, 12, 12, 57

Decide whether the relation is a function:
{(-3, 7), (1, -8), (6, -6), (7-8), (12, 2)}

Answers

Answer:

It is a function

Step-by-step explanation:

A function is of the form:

[tex]\left[\begin{array}{c}x_1&x_2&x_3\\-&-&-\\x_n\end{array}\right][/tex]            [tex]\left[\begin{array}{c}y_1&y_2&y_3\\-&-&-\\y_n\end{array}\right][/tex]

Where each of the x values must be distinct.

The x values are referred to as domain while the y values are called range.

Having said that, the given data can be represented as follows:

[tex]\left[\begin{array}{c}-3&1&6\\7&12\end{array}\right][/tex] ----------- [tex]\left[\begin{array}{c}7&-8&-6\\-8&2\end{array}\right][/tex]

From the representation above, none of the x values are repeated.

Hence, it is a function

Jose is going to watch a movie in his collection. He has 7 action movies, 12 comedies, and 2 dramas.
He will randomly select one movie. What is the probability that the movie he selects is not an action movie?
Write your answer as a fraction in simplest form.

Answers

Answer:

14/21 or 2/3

Step-by-step explanation:

Quinn discovered a recipe for chocolate chip cookies that require 3/4 cups Brown sugar for every 2 cups of flour. How much Brown sugar will she need if she uses 6 1/2 cups of flour?

Answers

Answer:

Quinn will need 2 3/4 cups of brown sugar for 6 1/2 cups of flour

Step-by-step explanation:

If you change 3/4 into decimal form you get .75. You then multiply .75 by 3, because 2*3=6, to get 2.25 or 2 1/4. Then add the 1/2, or 2/4, to 2 1/4. You get 2 3/4

The first person is right Che said what I was going to say Mark him brainliest

Select the correct answer.
Which limit does not exist?

Answers

Answer:

B

Step-by-step explanation:

(look up limit calculator)

a has a limit

b does not exist

c  has a limit

d has a limit

e has a limit

Option D is correct one. Limit doesn't exist for [tex]\lim_{x\to \ 2} \frac{x^{2}-6x +8 }{x-2}[/tex].

When a limit is said to be exist?

The limit of f(x) at x = a is said to be exist if the function approaches the same value from both the sides i.e. LHL =RHL (left hand limit = right hand limit)

According to the question we have,

A. [tex]\lim_{x \to \ 1} \frac{2-x}{x+1}[/tex]

at x =1

LHL = [tex]\lim_{h \to \ 0 } \frac{2- (1-h)}{(1-h)+1}[/tex] = [tex]\frac{1}{2}[/tex]

RHL = [tex]\lim_{h \to \0} \frac{(2-(1+h) }{(1+h)+1)} =\frac{1}{2}[/tex]

Here, RHL = LHL

Hence, limit exist.

B. [tex]\lim_{x \to \ 2} \frac{x^{2} -8}{x-2}[/tex]

at x =2

LHL = [tex]\lim_{h \to \ 0} \frac{(2-h)^{2}-9 }{(2-h)-2}[/tex] =[tex]\lim_{h \to \ 0} \frac{4+h^{2} -9-4h}{2-h-2}[/tex] = [tex]\lim_{h \to \ 0 }\frac{2h-4}{-1} =\frac{-4}{-1} =4[/tex]

RHL = [tex]\lim_{h \to \ 0} \frac{(2+h)^{2} -9}{(2+h)-2}[/tex] = [tex]\lim_{h \to \ 0} \frac{4h +4 +h^{2}-9 }{h} = \lim_{h \to \ 0} \frac{2h+4}{1}[/tex]=4

Here, RHL = LHL

Hence, the limit exist.

C. [tex]\lim_{x \to \ 1} (x^{2} -2x-5)[/tex]

at x =1

LHL = [tex]\lim_{h \to \ 0} (( 1-h)^{2} -2(1-h)-5)= \lim_{h \to \ 0} (1 -2-5)=-6[/tex]

RHL = [tex]\lim_{h \to \ 0} ((1+h)^{2} -2(1+h)-5) = (1-2-5)=-6[/tex]

Here, LHL = RHL = -6

Hence, the limits exist.

D. [tex]\lim_{x \to \ 2} \frac{x^{2}-6x + 8 }{x - 2}[/tex]  

at x =2

LHL = [tex]\lim_{h \to \0} \frac{(2-h)^{2} -(2-h)+8}{(2-h)-2} = \lim_{h \to \ 0} \frac{4+h^{2}-4h-2+h+8 }{(2-h)-2}[/tex] =[tex]\lim_{h \to \ 0} \frac{2h-4+1}{1} =-3[/tex]

RHL = [tex]\lim_{h \to \ 0} \frac{(2+h)^{2} -(2+h) +8}{(2+h)-2} = \lim_{h \to \ 0} \frac{4+h^{2}+4h -2-h+8}{h} = \lim_{h \to \ 0} \frac{2h+4-1}{1} =3[/tex]

Here, RHL≠LHL

Hence, the limit doesn't exist.

E. [tex]\lim_{x \to \ 3} (x^{2} -3x-1)[/tex]

at x = 3

LHL = [tex]\lim_{h \to \ 0} ((3-h)^{2} -3(3-h)-1)[/tex] = [tex]9-9-1=-1[/tex]

RHL= [tex]\lim_{h \to \ 0} ((3+h)^{2} -3(3+h)-1)= 9-9-1 =-1[/tex]

Here, RHL = LHL

Hence, the limit exist.

Learn more about limit here:

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Name a point on this line.

y + 2 = 3(x – 4)



Question 3 options:

(4,-2)


(-2,4)


(2,-4)


(-4,2)

Answers

The answers is (4,-2)
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