reflection across y= -x

Reflection Across Y= -x

Answers

Answer 1

Answer:

option A) is correct.

Step-by-step explanation:

As we know that when we reflect across the line [tex]y=-x[/tex], the x-coordinate and y-coordinate would change places and be negated.

So the formula about the reflection across [tex]y=-x[/tex] will be:

(x, y) ⇒ (-y, -x)

From the graph, the vertices of the triangle are:

Vertex U = (-5, -2)Vertex T = (-3, -3)Vertex V = (-5, -5)

As the rule of reflection across [tex]y=-x[/tex] will produce the image with the vertices T', U' and V' which are as follows:

(x, y) ⇒ (-y, -x)

U(-5, -2) ⇒ (-y, -x) = U' (2, 5) T(-3, -3) ⇒ (-y, -x) = T' (3, 3) V(-5, -5) ⇒ (-y, -x) = V' (5, 5)

So, the vertices of U', T' and V' will be:

U' (2, 5) T' (3, 3) V' (5, 5)

Therefore, option A) is correct.


Related Questions

Does anyone know the solution to this question

Answers

Answer:

Graph A

Step-by-step explanation:

3x+y=5

y=-3x+5

4x-y=2

-y=-4x+2

4=2x-2

graph a is correct. hope this helps

a school district collected 14,621 pounds of recyclables during last year. This year was 3,943 more pounds of recyclables than it collected last year. How many pounds of recyclables did the school district collected last year?

Answers

Answer:

14,621 lbs.

Step-by-step explanation:

It says at the beginning of the question that the school district collected 14,621 lbs. of recycling. The part where it says that the school district collected 3,943 lbs. of recycling more than last year is un-needed information.

Rainfall was 6 inches in September and 4.9 inches in October. What was the difference in rainfall?

Answers

Answer:

1.1

Step-by-step explanation:

6-4.9=1.1

Hope I helped!

Please mark Brainliest!!!

Answer:

1.1

Step-by-step explanation:

it's easy you just subtract.

Which of the following expressions is equivalent to the one below? 3x + 6y


A.
6(2x + y)
B.
6x + 3y
C.
3(x + 2y)
D.
9(x + y)

Answers

it would be c. 3(x+2y)

i need help plzzzzzzz :))

Answers

Answer:

C. Both Functions Have a y-intercept of -2

Step-by-step explanation:

In Function F it shows us that it has a y-intercept of -2, and in the equation of Function G it shows us that you would subtract 2 out of what the initial value would be:

(3 x 0 = 0)

0 - 2 would be -2 so it would have a y-intercept of -2.

G(x)=2x -3
What is the value of
G(2) - g(3)

Answers

Answer:

-2

Step-by-step explanation:

You plug the values in. 2(2)-3=1, and 2(3)-3=3

1-3=-2

Hope I helped!

round 0.918 to the nearest whole number ​

Answers

0.918 to the nearest whole number would be 1.

This is because 9 is more than 5 so you make it 0 and add 1 to the next number. After that everything else turns to 0’s.

Hope this helps and have a nice day/night!!!

how can you tell how many solutions you'll get for a trigonometric equations? does it depend on the value of theta or the range?

Answers

Answer: Trigonometric equations are, as the name implies, equations that involve trigonometric functions. Similar in many ways to solving polynomial equations or rational equations, only specific values of the variable will be solutions, if there are solutions at all. Often we will solve a trigonometric equation over a specified interval. However, just as often, we will be asked to find all possible solutions, and as trigonometric functions are periodic, solutions are repeated within each period. In other words, trigonometric equations may have an infinite number of solutions. Additionally, like rational equations, the domain of the function must be considered before we assume that any solution is valid. The period of both the sine function and the cosine function is \displaystyle 2\pi2π. In other words, every \displaystyle 2\pi2π units, the y-values repeat. If we need to find all possible solutions, then we must add \displaystyle 2\pi k2πk, where \displaystyle kk is an integer, to the initial solution. Recall the rule that gives the format for stating all possible solutions for a function where the period is \displaystyle 2\pi :2π:

\displaystyle \sin \theta =\sin \left(\theta \pm 2k\pi \right)sinθ=sin(θ±2kπ)

There are similar rules for indicating all possible solutions for the other trigonometric functions. Solving trigonometric equations requires the same techniques as solving algebraic equations. We read the equation from left to right, horizontally, like a sentence. We look for known patterns, factor, find common denominators, and substitute certain expressions with a variable to make solving a more straightforward process. However, with trigonometric equations, we also have the advantage of using the identities we developed in the previous sections.

What is the fractional form of 0.8 repeating ? A 8/10 B. 1/8 C.8/9 D 8/11​

Answers

Answer:

C

Step-by-step explanation:

8 divided by 9 = 0.8888...

C 8 divided by 9 0.888 and repeats

David is traveling at a rate of 62 feet per second. Select all of the following rates that are equivalent or approximately equivalent to David’s rate of 62 feet per second.

Answers

Answer:

.68.0314 m/s

.42.272752125mph

68.0314km/h

Step-by-step explanation:

Jason left for school and forgot his math homework on the kitchen table. His mother found the homework 10 minutes after Jason left, and started driving 36 mph to catch him. Jason bikes 12 mph.
a.How long will it take Jason's mother to catch him?
b. How many miles has Jason biked when his mother catches him?
c. If Jason's school is 2.5 miles from his apartment, how fast must his mother drive to catch him at the school door?

Answers

Answer: 5 minutes

Step-by-step explanation:

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

What is speed?

" Speed is defined as the total distance travelled per unit time."

Formula used

[tex]Speed = \frac{total distance travelled}{total time taken}[/tex]

According to the question,

Speed of Jason bike = 12mph

1hour = 12miles

60minutes = 12miles

1minutes = [tex]\frac{12}{60}[/tex] miles

Speed of Jason's mother bike = 36mph

Time after mother found the homework = 10 minutes

After 10 minutes

Jason is at distance =  [tex]\frac{12}{60} (10)[/tex]

                                 =2miles

After 15 minutes = [tex]\frac{12}{60} (15)[/tex]

                            = 3miles

To cover three miles mother has to drive for

1hour = 36miles

60minutes = 36miles

1miles = [tex]\frac{60}{36}[/tex] minutes

3miles = [tex]\frac{60}{36} (3)[/tex]

           = 5minutes    

If Jason's school is 2.5 miles from his apartment,

Time taken by Jason to reach school door = [tex]\frac{2.5}{12.5} (60)[/tex] minutes

                                                                        = 12.5 minutes

Time in which mother has to cover distance of 2.5miles

= [tex](12.5-10)[/tex]minutes

= 2.5minutes

Substitute the value in the formula we get,

Speed of mother's bike =  [tex]\frac{2.5}{2.5} (60)[/tex] mph

                                       = 60mph

Hence,  

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

Learn more about speed here

https://brainly.com/question/7359669

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Which number is the additive inverse of
-4 1/4

Answers

An additive inverse is the number that is the opposite of its sign. (positive or negative)

Since this number is a negative, its inverse will be a positive.

4 1/4

Joey can walk at a rate of 3 meters per second. How long would it take him to walk 300 meters.

Answers

Answer:

100s

Step-by-step explanation:

100 seconds because 300/3 is 100

Find the slope of the line that asses through the pair of oints (17,11) and (21,19)

Answers

Answer:

The slope of the two points is 2. (8/4)

Answer:

The slope of the two points is 2. (8/4)

Step-by-step explanation:

thats it

Two lines are represented by the equations:
y = 4x + 1
y - 4x = -9
Which statement below is true?
a
They are the same line.
b
They have zero slopes.
c
They have reciprocal slopes.
d
They have the same slope.

Answers

Answer:

d. have same slope

Step-by-step explanation:


Round to the nearest 100 of 6,850..​

Answers

Answer: 6,900
Explanation: 800 is in the hundreds place therefore if it can round up it would round up to 6,900 instead of 7,000

Solving systems of linear equations algbraically. ​

Answers

Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

 

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}

Write a formula for the total cost (T), in pence, of 5 cups of lemonade and 2 chocolate bars.

Answers

Answer:

[tex] T = 5l + 2c [/tex]

Step-by-step explanation:

Lemonade = l pence per cup.

Cost of 5 cups of Lemonade = [tex] 5 \times l = 5l [/tex]

Chocolate bar = c pence per bar

Cost of 2 Chocolate bars = [tex] 2 \times c = 2c [/tex]

Total cost (T) = Cost of 5 cups of Lemonade + Cost of 2 Chocolate bars

✔️The formula for the total cost would be:

[tex] T = 5l + 2c [/tex]

Henry has 15 lawns mowed out of a total of 60 lawns. What percent of the lawns does Henry still have to mow?

Answers

Answer: He still has to mow 45 lawns, or 75% of the lawns before he is finished.

How do you do the last two questions?

Answers

Answer:

P = 6200 / (1 + 5.2e^(0.0013t))

increases the fastest

Step-by-step explanation:

dP/dt = 0.0013 P (1 − P/6200)

Separate the variables.

dP / [P (1 − P/6200)] = 0.0013 dt

Multiply the left side by 6200 / 6200.

6200 dP / [P (6200 − P)] = 0.0013 dt

Factor P from the denominator.

6200 dP / [P² (6200/P − 1)] = 0.0013 dt

(6200/P²) dP / (6200/P − 1) = 0.0013 dt

Integrate.

ln│6200/P − 1│= 0.0013t + C

Solve for P.

6200/P − 1 = Ce^(0.0013t)

6200/P = 1 + Ce^(0.0013t)

P = 6200 / (1 + Ce^(0.0013t))

At t = 0, P = 1000.

1000 = 6200 / (1 + C)

1 + C = 6.2

C = 5.2

P = 6200 / (1 + 5.2e^(0.0013t))

You need to change the exponent from negative to positive.

The inflection points are where the population increases the fastest.

Jason is 22 years older than his sister Ann. In 4 years, he will be twice as old as Ann. How old is each of them now?

Answers

Answer:

im not sure if this is rite

Step-by-step explanation:

jason=a+22

ann=a

a+22+4=2a+4

a+26=2a+4

a=22

Could you please help me

Answers

Answer:

4 3/4

Step-by-step explanation:

cueluisghvreiuasghfe;ahfuiealw

Answer:

Step-by-step explanation:

[tex]4\frac{3}{4}[/tex] - [tex]\frac{1}{3}[/tex] = [tex]4\frac{9-4}{12}[/tex] = [tex]4\frac{5}{12}[/tex] feet

may someone help me find A H AND K ?

Answers

Answer:

a = -2

h = -1

k = -6

Step-by-step explanation:

This is called the vertex form of a quadratic:

y = a(x – h)2 + k

To arrive at the answer, simply locate where each variable would be in place of the number.

I hope this helped you! If it did, please consider rating, pressing thanks, and marking my answer as Brainliest. It would be a big help! Have a great day! :)

3. Which equation fits the transformed quadratic
graph below.
A. y = (x + 1)2 + 2
B. y = (x - 1)2 + 2
C. y = (x + 1)2 – 2
D. y = (x - 1)2 – 1

Answers

The answer to this is C

12 less than the product of negative 8 and n

Answers

12 < -8n

(I'm not hundred percent sure I'm sorry but that's what I came up with)

A number increased by 35

Answers

Answer:

x+35

Step-by-step explanation:




What is the total amount of paper, glass, and plastic waste not recovered

Answers

Answer:

63,630,000 tons not recovered

Step-by-step explanation:

Paper generated = 71,310,000 tons

Paper recovered = 44,570,000 tons

Glass generated = 11,530,000 tons

Glass recovered = 3,130,000 tons

Plastics generated = 31,040,000 tons

Plastics recovered = 2,550,000 tons

Total generated = 113,880,000 tons

Total recovered = 50,250,000 tons

113,880,000 - 50,250,000 = 63,630,000 tons not recovered

You move up 1 unit and down 7 units. You end at (-5, -2). Where did you start?

Answers

hi there! heres my answer for you...

Answer:

you started at (-5, 4)

Step-by-step explanation:

do what the instructions given said but in reverse. so move up 7 units and move back down 1 unit and you will find where you started.

hope this helps. have a good one!

The coordinate of the point from where we started will be (1, -2).

What is a transformation of a point?

A spatial transformation is each mapping of feature space to itself and it maintains some spatial correlation between figures.

You move up 1 unit and down 7 units. You end at (-5, -2).

Let the initial coordinate be (x, y). Then the transformation is written as,

(-5, -2) → (x + 1 - 7, y)

Compare the abscissa, then we have

- 5 = x + 1 - 7

x = - 5 - 1 + 7

x = 1

Compare the ordinate, then we have

y = -2

Then the coordinate of the point from where we started will be (1, -2).

More about the transformation of a point link is given below.

https://brainly.com/question/27224339

#SPJ2

HEEEEEEEEEEEEEEEEEEEEELP!!!! A line y=mx+b passes through point (16, −10) and is parallel to y=−34x+8.

What is the value of b?

Answers

Answer:

[tex]b=2[/tex]

Step-by-step explanation:

We know that the line passes through the point (16, -10).

And we also know that it is parallel to [tex]y=-\frac{3}{4}x+8[/tex]

Notice that the slope of this line is -3/4

Remember that parallel lines have the same slope.

Therefore, the slope of our new line is also -3/4

Now, we can use the point-slope form:

[tex]y-y_1=m(x-x_1)[/tex]

Where m is the slope and (x₁, y₁) is a point.

So, let’s substitute -3/4 for m and (16, -10) for (x₁, y₁). This yields:

[tex]y-(-10)=-\frac{3}{4}(x-16)[/tex]

Distribute:

[tex]y-(-10)=-\frac{3}{4}x+12[/tex]

Simplify:

[tex]y+10=-\frac{3}{4}x+12[/tex]

Subtract 10 from both sides:

[tex]y=-\frac{3}{4}x+2[/tex]

This is in the form y=mx+b.

Therefore, our b is 2.

And our final answer is 2.

Ashton is depositing money into a checking account. After 3 months there is $120 in the account. After 6 months, there is $240 in the account. Determine the constant rate of change of the account.

Answers

The constant rate of change of the account is $40 or Increasing by $40 per month.

Step-by-step explanation:

Consider the provided information.

Joanne is depositing money into a bank account. After 3 months there is $120 in the account. After 6 months there is $240 in the account.

Rate of change is known as how one quantity change in relation to other.

The rate of change can be calculated as:

y2-y1/x2-x1  

Now use the above formula to calculated the rate of change.

240 - 120/6-3

120/3

40

Hence, the constant rate of change of the account is $40 or Increasing by $40 per month.

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