Find the coordinates of C' after a reflection across the liney = 1 and then x = 2. Write in the form (a,b)
Part 5a

Answers

Answer 1

Answer:

Answer: (4,2)

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Explanation:

C is at (0,0). Ignore the other points.

Reflecting over y = 1 lands the point on (0,2) because we move 1 unit up to arrive at the line of reflection, and then we keep going one more unit (same direction) to complete the full reflection transformation. I'll call this point P.

Then we reflect point P over the line x = 2 to arrive at the location Q = (4,2). Note how we moved 2 units to the right to get to the line of reflection, and then keep moving the same direction 2 more units, then we have applied the operation of "reflect over the line x = 2"

So we have started at C = (0,0), moved to P = (0,2) and then finally arrived at the destination Q = (4,2). This is the location of C' as well.

All of this is shown in the diagram below.

Related Questions

Which of the following is another way to represent 5 2/6?6 8/6 5 6/8 4 12/6 4 8/6
△ABC is mapped to △A′B′C′ using the rule (x, y)→(−x, −y) followed by (x, y)→(x, −y) .Which statement correctly describes the relationship between △ABC and △A′B′C′ ? A. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a rotation, which is a sequence of rigid motions. B. △ABC is congruent to △A′B′C′ because the rules represent a rotation followed by a reflection, which is a sequence of rigid motions. C. △ABC is not congruent to △A′B′C′ because the rules do not represent a sequence of rigid motions. D. △ABC is congruent to △A′B′C′ because the rules represent a reflection followed by a reflection, which is a sequence of rigid motions.
A person drove at 24 miles per hour for 4 hours, then at 20 miles per hour for 2 hours. How far did the person drive in all?
What can multiply to get -36 and add to get -40
Can someone please show how to solve this ln(5x-1)+ln(x-6)=ln6 ???

Suppose you are having a birthday party at the local bowling alley. You’re trying to figure out how many people you can afford to invite. 1) The number of guests you can invite to the party varies inversely with the price per bowler at the alley. Explain what this means.

2) How much total money are you willing to spend to host this bowling party?
Willing to spend: $ _

3) Set up an equation that shows the inverse relationship between the number of guests at your party and the price per bowler. Your answer for part 2 should be part of your equation.

y=

4) Research two local bowling alleys. Record the price per bowler at each of these two alleys.
Bowling Alley #1 $ /bowler
Bowling Alley #2 $ /bowler

5) Calculate how many guests you will be able to invite to your party at each of the bowling alleys.
Alley Total
Bowling Alley #1
Bowling Alley #2

Which alley would you choose for your party? Why?

Answers

1) The number of guests you can invite to the party varies inversely with the price per bowler at the alley. This means that the higher the number of guests you invite, the lower the price per bowler and vice versa.

2) The amount of money you are willing to spend will be according to your discretion. Let us assume that the money you are willing to spend is represented by M.

3) y = M/x
where: M is the amount of money you are willing to spend
x is the number of guests your are inviting
y is the price per bowler

Solve for x: 4 − (x + 2) < −3(x + 4)

Answers

4 - (x+2) < -3(x+4)

4 -1(x) -1(2) < -3(x) -3(4)
4 - x - 2 < -3x -12
+3x +3x
2 + 2x < -12
-2 -2
2x < -14
÷2 ÷2
x < -7

assume that x = -8

4 - (-8 + 2) < -3(-8 + 4)
4 - (-6) < -3(-4)
4 + 6 < 12
10 < 12 the inequality is true.

If you deposit $100 at 8% interest, how much will you have after one year?

Answers

8% of 100 is 8, so add that to your initial deposit and you will have $108 after one year.

PLEASE HELP, BEING TIMED, WILL GIVE BRAINLIEST!!!! Mr. Romero attached a ramp to the base of a window sill so that the family cat could more easily climb onto it. The ramp is 84 inches long. The window sill is 50 inches above the floor. What is the distance from the base of the ramp to the base of the wall?

Answers

The distance from the base of the ramp to the base of the wall will be 67.5 inches.

What is the Pythagorean theorem?

Pythagorean theorem states that in the right angle triangle the hypotenuse square is equal to the square of the sum of the other two sides.

By using Pythagoras' theorem

D² = 84² - 50²

D = √ 84² - 50²

D = √4556

D = 67.5 inches

Therefore the distance from the base of the ramp to the base of the wall will be 67.5 inches.

To know more about the Pythagorean theorem follow

brainly.com/question/343682

#SPJ5

Answer:

$x=\sqrt{84^(2)-50^(2) } =√(7056-2500) =67.5 inches$

What is the value of x in the equation (x-2/3)+(1/60)=(5/6)

Answers

(x-2/3)+(1/60)=(5/6)
x-2/3= 5/6 - 1/60
x-2/3 = 49/60
x - 2 = 49/20
x = 49/20 + 2
x = 89/20

The answer is: x = 89/20 or x = 4.45.

Answer:

(x-2)/3+(1/60)=(5/6)

(x-2)/3+1/60=50/60

(x-2)/3=50/60-1/60

(x-2)/3=49/60

(x-2)=49/20

x=49/20+2

x=49/20+40/20

x=89/20

x=89/20x=4.45

a delivery truck traveled 324 miles on 18 gallons of gas how far can be traveled on 41 gallons of gas?

Answers

324 miles divided by 18 gallons = 18 miles per gallon (mpg)

Therefore, 41 gallons x 18 mpg = 738

Final answer:

The delivery truck can travel 738 miles on 41 gallons of gas, assuming it maintains the same fuel efficiency. This is calculated by first finding the mileage per gallon (miles driven divided by gallons used), then multiplying that by the number of gallons.

Explanation:

The situation given can be solved by using unit rate or sometimes referred to as proportion. The delivery truck traveled 324 miles on 18 gallons of gas. We'll first find out the mileage per gallon and then use that to compute how far it could go on 41 gallons.

First, we divide the total miles by the total gallons to get miles per gallon: 324 miles / 18 gallons = 18 miles per gallon.
Then, multiplies the miles per gallon by the quantity of gallons you want to know: 18 miles per gallon * 41 gallons = 738 miles.

So, a delivery truck that traveled 324 miles on 18 gallons of gas could travel 738 miles on 41 gallons of gas, assuming the truck maintains the same fuel efficiency.