1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Snowcat [4.5K]
1 year ago
12

After a glide reflection, the point x is mapped to the point x' (3,-2). The translation part of the glide reflection is (x,y) -&

gt;(x+3,y), and the line of reflection is y=-1. What are the coordinates of the original point x.
Mathematics
1 answer:
Umnica [9.8K]1 year ago
8 0

The coordinates of the original point <em>x</em>, can be obtained by reversing the given transformations individually

The coordinates of the original point <em>x</em> is \underline{(0, \, 0)}

Reason:

The type of reflection = Glide reflection

Coordinates of the image of the point <em>x</em> = x'(3, -2)

The translation part of the glide reflection is (x, y) → (x + 3, y)

The line of reflection is y = -1

The coordinates of the original point = Required

Solution:

  • A glide reflection is also known as a transflection, that involves a symmetric composite transformation of a reflection followed by a translation along the line of reflection

Reflection part;

The distance of the image point from the reflecting line = The object's

point distance from the reflecting line

Therefore, given that the reflecting line is the line y = -1, and the image

point is x'(3, -2), we have;

Distance of image from reflecting line =-1 - (-2) = 1

∴ Distance of object point from reflecting line = 1

y-coordinate of object point = -1 + 1 = 0

Point of image of the object before reflection and after translation = (3, 0)

Translation part;

The translation of the glide reflection is (x, y) → (x + 3, y)

Therefore, the location of the object before translation is ((x + 3) - 3, y), which from the point (3, 0) gives, ;

((3) - 3, 0) → (0, 0)

The coordinates of the original point <em>x</em> is \underline{(0, \, 0)}

Learn more here:

brainly.com/question/12890981

You might be interested in
Scientific notation<br> 9.78 × 10^5 - 732,000<br> It has to be either 2.46 × 10^5 or 2.46 × 10^3
Morgarella [4.7K]

Answer:

2.46\times 10^5

Step-by-step explanation:

9.78 \times 10^5 - 732,000\\= 9.78 \times 10^5 - 7.32 000\times 10^5\\= 9.78 \times 10^5 - 7.32\times 10^5\\= 2.46\times 10^5

3 0
3 years ago
Solve (x to the fourth power - 6) ×7+3=
abruzzese [7]
First multiply everything inside the brackets by seven
7x^4-42+3
Then solve what you can
7x^4-39
You an't solve it further. Is this what you mean? X to the fourth power?
6 0
3 years ago
What’s the answer in neeeeeeeeed it………
Aneli [31]

Answer:

10x

Step-by-step explanation:

3 0
2 years ago
How many different answers can you get by grouping differently? Add parentheses to the expression 7+3•4+2 to create new expressi
DiKsa [7]

Answer: The different possible solutions are 42, 21, 31 and 80.

Explanation:

The given expression is,

7+3\cdot 4+2

Case 1.

(7+3)\cdot 4+2=10\cdot 4+2

(7+3)\cdot 4+2=40+2

(7+3)\cdot 4+2=42

Case 2.

7+(3\cdot 4)+2=7+12+2

7+(3\cdot 4)+2=21

Case 3.

7+3\cdot (4+2)=7+3\cdot 8

7+3\cdot (4+2)=7+24

7+3\cdot (4+2)=31

Case 4.

(7+3)\cdot (4+2)=10\cdot 8

(7+3)\cdot (4+2)=80

8 0
3 years ago
Consider an economy with two sectors: manufacturing and services. Demand for labor in manufacturing and services are described b
salantis [7]

Answer:

Step-by-step explanation:

I think your question is missed of key information, allow me to add in and hope it will fit the original one.  Please have a look at the photo

My answers:

a, If workers are free to move between sectors, the wages in each sector will be equal. If wages are not equal, the workers will be motivated to move to sectors with higher wages and this will make a higher salary reduction, and lower wages will increase until they equal.

b. Since there are 100 workers in total,we have:

Ls =100- Lm = 100 -4w

Lm = 4w

Now set this equal to the labor demand for manufacturing equation and solve for w:

4w = 200 - 6w

w = $20.

Substitute w =20 into the two labor demand equations, we have LM = 80 and LS i= 20

c. If the wage in manufacturing is equal to $25 then

Lm=200-6(25) = 50

d. There are now Ls = 50 workers employed in the service sector and the wage:

Ls=100-4Ws

<=> 50 = 100 -4Ws

<=> Ws = 12.5

e. Wages in the manufacturing sector will remain at 25 dollars and jobs will remain at 50. If wages are reserved for the service sector is 15 dollars, then jobs in the service sector will be 40. Therefore 10 unemployed and the unemployment rate is 10%.

5 0
3 years ago
Other questions:
  • there are 112 males and 78 females working at a hospital. what percentage of hospitals workforce is females?
    7·1 answer
  • On one day, the stock of Seraj Food Technologies went up by $30\%.$ The next day, the stock fell by $30\%.$ Over the two days, t
    10·1 answer
  • Please answer this correctly
    14·2 answers
  • NEED ANSER FOR TEST 50% of my grade!!A group of friends on a camping trip has 3 2/5 lb of trail mix. They divide it up evenly am
    5·1 answer
  • Liam bought 11/8 cups of carrots. If Liam eats 2/8 cup in a serving, how many servings did Liam buy
    14·1 answer
  • Round 967 to ? round to the nearest hundred
    7·2 answers
  • Hey please help me be geniune this is a timed test and I really need help will mark brianliest :( please no links I’m tired of s
    15·1 answer
  • (2⁵ + 14 ÷ 2) • 2 pls help ;-;
    13·1 answer
  • Need help! What’s x, and what is the equation?
    7·1 answer
  • HELP ME (I WILL GIVE BRAINLIEST IF CORRECT)!!!!
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!