PLZ HELP ASAP!!
If the parallel lines m and n are 6 units apart, how many units of translation is equivalent to the composition of two reflections over lines m and n?

Answers

Answer 1

9514 1404 393

Answer:

  12 units

Step-by-step explanation:

Reflection over two lines x units apart is equivalent to a translation of 2x units. Since the given lines are 6 units apart, ...

  the equivalent translation is of 12 units.

___

Example:

Lines at x=0 and x=6. Point (x, 0). After reflection over x=0, the point is located at (2·0 -(x), 0) = (-x, 0). After reflection of that over x=6, the point is located at (2·6 -(-x), 0) = (12 +x, 0). That is, 12 has been added to the x-coordinate, meaning the point was translated 12 units. (The translation is in the direction the second line is from the first.)


Related Questions

A teacher asked the class to write an expression that has two decimal factors and an estimated product of 30.

Which of these expressions have an estimated product of 30? Check all that apply.
9.7 × 2.84
10.1 × 28.8
6.25 × 4.76
35.3 × 1.92

Answers

Answer:

9.7 x 2.84 and 6.25 x 4.76

Step-by-step explanation:

i just got them right lol

Answer:

the first and third one

Step-by-step explanation:

i did edg.

Solve for x in this equation: 3/4 + l 5-x| = 13/4

There are multiple other questions as well

Answers

1. 3/4
2. im not sure if it means after taking away 3/4, but if it is, its 10/4

x=10/4 and -30/4 i believe, im not too good with fractions, sorry if its wrong :((
Take the constants to the right side of the equation
|5-x|=13/4-3/4
|5-x|=5/2

When you remove the absolute value on the left side, you have to put a plus or minus sign, +- on the right side.

5-x=+-5/2

Solve for the positive equation:
5-x=5/2
-x=-5/2
x=5/2

Solve for the negative equation:
5-x=-5/2
-x=-15/2
x=15/2

Solution: x= 5/2, 15/2

Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , how tall would the stack be ?

Answers

Answer:

26 1/4

Step-by-step explanation:

1 3/4*15=26 1/4

If Davis has 15 quarters . Each quarter is 1 3/4 mm thick . If Davis stacked up all 15 quarters on top of each other , then 105/4 is the tallness of the stack.

What is Multiplication?

multiplication is a method of finding the product of two or more numbers.

Given,

Davis has 15 quarters

Each quarter is [tex]1\frac{3}{4}[/tex] mm thick.

We need to find the height, If Davis stacked up all 15 quarters on top of each other

This can be achieved by adding  [tex]1\frac{3}{4}[/tex]  for fifteen times or we can use multiplication.

We have to multiply 15 with  [tex]1\frac{3}{4}[/tex] .

Firstly   [tex]1\frac{3}{4}[/tex] is converted to improper fraction.

 [tex]1\frac{3}{4}[/tex] =7/4

Now 7/4×15

=105/4mm

Hence 105/ 4 is the tallness of stack.

To learn more on Multiplication click:

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I need help pls I’m really dumb

Answers

2- 464

5 - 1160

8 - 1856

thanks if you helped​

Answers

Answer:

The slope is 0
The line is a horizontal line
The line has no y-intercept

extra poing again happy thanks giving

Answers

Answer:

Thanks for points :)

Step-by-step explanation:

I like ice cream :D

Answer:

TY!! :)

have a great day!

Step-by-step explanation:


A number line going from negative 10 to positive 10. A point is at negative 6.
What is the opposite of the graphed integer?

The opposite is .

Answers

the answer is 6

your welcome!

lol

Answer:

6

Step-by-step explanation:

(●'◡'●)

HELPPPP PLEASEEEEEEEEWEE HELPPPPPPPP

Answers

Answer:

calculate the rise over the run.

therefore, it's -8/7

Topic: coordinate geometry

If you like to venture further, do check out my insta (learntionary) where I regularly post useful math tips! Thank you!

-8/7 when you calculate

I made a 3.5 hour phone call, it cost $10. How much would 1 hour be?

Answers

Answer:

1 hour would cost $0.35.

Step-by-step explanation:

Divide 3.5 by 10.

Sawyer got a gift card for his birthday and
wants to use it for a new video game. The game
costs $60, but his gift card only covers 50% of
that. His mom agrees to cover the rest, but says
he must pay the money back in three weeks.
How much does he have to pay each week if he
pays the same amount each week?

Answers

Answer:

30

Step-by-step explanation:

50/100×60

0.5×60=30

30

which expression is equivalent to the given expression. pls help :)

Answers

Answer:

B

Step-by-step explanation:

[tex]\frac{a^{m}}{a^{n}}=a^{m-n}\\\\\\(a^{m})^{n} =a^{mn}[/tex]

[tex]\frac{(4m^{2}n)^{2}}{2m^{5}n}=\frac{4^{2}(m^{2})^{2}n^{2}}{2m^{5}n}\\\\\\=\frac{16m^{4}n^{2}}{2m^{5}n}\\\\\\=\frac{8m^{4}n^{2}}{2m^{5}n}\\\\\\=8m^{(4-5)}n^{(2-1)}\\\\\\=8m^{-1}n[/tex]

At a garage, 820 cars were given a safety test. if 75% of them passed the safety test, how many cars were rejected?

Answers

Answer:

205 cars were rejected

Step-by-step explanation:

  x                  75

____             ____

820              100

cross multiply

100x=61500

simplify

x=615

820-615

anwer:205

hope it helps!

Help please
1/4 (8x + 12y +16z)

Answers

Answer:

8+12+164

Step-by-step explanation:

What is the answer to 3x + 4x - 2x

Answers

Answer:

5x

Step-by-step explanation:

3x + 4x - 2x

7x - 2x

5x

And that's on periodt

Answer:

5x

[tex]3 + 4 - 2[/tex]

[tex]7 - 2[/tex]

[tex]5[/tex]

A student reads at a rate of 16 pages per day what ordered pair would be on a graph of this relationship

Answers

Answer:

(1,16) (2,32) (3,48) (4, 64) (5, 80) (6,94)

I started swimming at 8am.
12
9
3
6
When I finished swimming, the minute hand of the clock had turned 360°
What time did I finish swimming?

Answers

Answer:

360° will be when the clock has passed an hour, e.g. from 12 to 12. One hour is 60 minutes from 12 to 12, your answer is 9am

What is the slope of y + 2 = -2(x-3)

Answers

The Answer: -2
Recall that the slope is represented by the letter m in the equation : y=mx+b

Work:

Answer: -2 is the slope of the equation.

Step-by-step explanation:

Write the constant term in 5a3b + 2ab2 + 3.

Answers

Answer:

the answer will be this

Help me please!! I’ll mark as brilliant

Which graph represents the solution set of this inequality?

-11 - 2d >_ 1

Answers

Answer:

letter a is the correct answer

Answer:

Graph C

Step-by-step explanation:

Khan

BTW: its 100% correct

MARKING BRAINLIEST!!!!
Which of the following values of b makes 1/10= 4/b true?
A 20
B 5
C 40
D 14

Answers

The answer is C because of you simplify 4/40 is 1/10

Answer:

C 40

Step-by-step explanation:

1/10 = 4/b

1 x ? = 4 ?=4

10x4 = 40

4/40 = 1/10

What does acosd mean?​

Answers

Answer:

Y = acos( X ) returns the Inverse Cosine (cos-1) of the elements of X in radians. The function accepts both real and complex inputs. For real values of X in the interval [-1, 1], acos(X) returns values in the interval [0, π].

Step-by-step explanation:

The number of vehicles passing through a bank drive-up line during each 15-minute period was recorded. The results are shown below.
24 26 24 27
27 24 29 26
34 30 30 28
23 30 24 19
14 26 26 26
Find the median number of vehicles going through the line in a 15-minute period.
A: 27 vehicles B: 25.85 vehicles C: 30 vehicles D: 26 vehicles

Answers

Answer:

The correct answer is: Option D: 26 vehicles

Step-by-step explanation:

Median is the middle value of a sorted data set.

The formula for median depends on the number of values in the dataset.

First of all we have to arrange the given data in order

So,

14 19 23 24 24 24 24 26 26 26 26 26 27 27 28 29 30 30 30 34

Counting the values in the dataset

n = 20

As the number of values is even, the formula for median will be

[tex]M = \frac{1}{2}(\frac{n}{2}th\ value+(\frac{n}{2}+1)th\ value)[/tex]

Putting the values

[tex]M = \frac{1}{2}(\frac{20}{2}th\ value+(\frac{20}{2}+1)th\ value)\\M=\frac{1}{2}(10th\ value +[10+1]th\ value]\\M= \frac{1}{2}(10th\ value + 11th\ value)[/tex]

The 10th value in dataset is 26 and 11th is also 26 so

[tex]M = \frac{1}{2}(26+26)\\M = \frac{1}{2}(52)\\M = 26[/tex]

Hence,

The correct answer is: Option D: 26 vehicles

dult men have heights with a mean of 69.0 inches and a standard deviation of 2.8 inches. Find the z-score of a man 73.4 inches tall. (to 2 decimal places)

Answers

Answer:

The z score is 1.57

Step-by-step explanation:

μ = 69.0, σ = 2.8 and x = 73.4

The objective of the problem is to obtain the z-score of a man 73.4 inches tall. The required z score is derived through the following formula "{x - μ / σ}"

z = 73.4 - 69.0 / 2.8

z = 4.4 / 2.8

z = 1.571428571428571

z = 1.57

Thus, the z score is 1.57.

5x + 6y = 20 , 8x - 6y = -46

Answers

Answer:

5x + 6y = 20_____(1)

8x - 6y = -46_____(2)

Solving simultaneously:

Eqn(1) + Eqn(2)

5x + 8x + 6y + (-6y) = 20 + (-46)

13x = -26

x = -2

substituting this into Eqn (1):

5(-2) + 6y = 20

-10 + 6y = 20

6y = 30

y = 5

hence:

x = -2,y = 5.

A function that is injective but not surjective

Answers

An example of an injective function R→R that is not surjective is h(x)=ex. This "hits" all of the positive reals, but misses zero and all of the negative reals. But the key point is the the definitions of injective and surjective depend almost completely on the choice of range and domain.

A professional volleyball
team won 28 games and
lost 22. What percent of
their games did they lose?
What fraction represents the
number of games they won?

Answers

Answer: Lost 44%, Games won: 28/50

Step-by-step explanation:

Percentage = (part / whole) * 100

The total number of games the team played is 28 + 22, which equals 50.

Percentage of losses = (22/50) * 100 = 44%

Fraction of wins = 28/50

PLEASE HELP ASAP PLEASE An auto-parts store offers a fuel additive that claims to increase a vehicle’s gas mileage. The additive is poured into a vehicle’s gasoline tank after the tank is filled. To measure the claim, the store offers a free bottle of the additive to customers who drive SUV's, who then provide information about their gas mileage on the store website. A customer argues that the type of vehicle could be a confounding variable in this study.

Which statement best describes the effect of the confounding variable?

Because vehicles of different sizes may respond similarly to the additive, it should be easy to conclude whether the additive improves gas mileage.
Because vehicles of different colors may show differences in gas mileage, the additive may improve the gas mileage in some vehicles but not in others.
Because owners of different types of vehicles may choose not to use the additive, those vehicles will not show an improvement in gas mileage.
Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Answers

Answer:

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

Step-by-step explanation:

Edge 2021

Whether the addition increases gas mileage for all vehicles may be difficult to determine.

What is sample space?

The sample space S of a random experiment is defined as the set of all possible outcomes of an experiment. In a random experiment, the outcomes, also known as sample points, are mutually exclusive

Because vehicles of different sizes may respond differently to the additive, it may be difficult to conclude whether the additive improves gas mileage for all vehicles.

The type of vehicle is a confounding variable because it is related to both the independent variable (use of the fuel additive) and the dependent variable (gas mileage), and it could potentially influence the results of the study if not controlled for.

This is because the size of the vehicle, a complicating variable, may alter gas economy independently of the addition, making it challenging to assess the additive's actual impact. As a result, the study's findings might be erroneous or misleading.

Learn more about sample space here:

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6. A music video website received 5.000
comments on a new song they released
The next day, the artist performed the song
on television and an additional 1500
comments were made on the website. What
was the percent of increase? ​

Answers

Answer:

30%

Step-by-step explanation:

To be able to calculate the percent of increase between two numbers, you have to divide the increase by the initial number and multiply by 100:

Increase= 1,500

Initial number=5,000

Percent of increase=(1,500/5,000)*100

Percent of increase=0.3*100

Percent of increase=30%

According to this, the answer is that the percent of increase was 30%.

g(n) = n + 2; Find g(6)

Answers

Answer:

g(6)=8

Step-by-step explanation

they give you that the value of n is 6 so substitute it into the equation and solve. g(6)=6+2

g(6)=8

Complete the third step to solve the equation,
3 + 2x=-6x + 4
1.
Isolate the variable term on one side:
3 + 8x = 4
2.
Isolate the constant on the other side:
8x = 1
3.
Solve forx:
22
I need help with thissss

Answers

1. 1/8. 2. 1/8. 3. 1/8.
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