find the coordinates of the vertices of the triangle after a reflection across the line x= -1 and then across the line y = 1.
F(-2,-3), G(-3,2), H(1,-1)​

Find The Coordinates Of The Vertices Of The Triangle After A Reflection Across The Line X= -1 And Then

Answers

Answer 1

Answer:

  a.  F'(0, 5), G'(1, 0), H'(-3, 3)

Step-by-step explanation:

Reflection across x = -1 gives you the transformation ...

  (x, y) ⇒ (-2 -x, y)

Reflection across y = 1 gives you the transformation ...

  (x, y) ⇒ (x, 2 -y)

Together, these give you the transformation ...

  (x, y) ⇒ (-2 -x, 2 -y)

Applying this to point F, we have ...

  F(-2, -3) ⇒ F'(-2 -(-2), 2 -(-3)) = F'(0, 5) . . . . . . matches choice A

_____

How we found the transformation

In general, if M is the midpoint between A and B, then you have ...

  M = (A+B)/2

  2M = A+B

  B = 2M - A

So, if we want x=-1 to be the midpoint between x' and x, then we have ...

  x' = 2(-1) -x = -2 -x

Likewise, if we want y=1 to be the midpoint between y' and y, then we have ...

  y' = 2(1) -y = 2 -y

So, the transformation is ...

  (x, y) ⇒ (x', y') = (-2 -x, 2 -y)


Related Questions

What is MZM

Enter your answer in the box.

Answers

Answer: m√M = 98°

Step-by-step explanation:

x + x + 6 + 3x - 16 = 180

5x - 10 = 180

5x = 180 + 10

x = 190 / 5 = 38

m√M = 3x - 16

= 3(38) - 16

= 98°

Answer:

m<M = 98 deg

Step-by-step explanation:

Theorem

The sum of the measures of the angles of a triangle is 180 degrees.

Now we set the sum of the measures of the angles equal to 180 and solve for x.

3x - 16 + x + 6 + x = 180

5x - 10 = 180

5x = 190

x = 38

Now that we know x, we substitute x with 38 in the expression for the measure of angle M.

m<M = 3x - 16

m<M = 3(38) - 16

m<M = 114 - 16

m<M = 98

Find the error in the student's calculation.
23(2 - 4) + 5(3 - 8)
23(-2) + 5(5)
8(-2) + 25
-16 + 25
9

Answers

Answer: the 5 in the parentheses on the second line should be negative. Also, where did the 23 go?? That's a mistake too.

Step-by-step explanation: 3 - 8 = -5 so

23(2 - 4) + 5(3 - 8)

23(-2) + 5(-5)

(-46) + (-25)

-71

(at least, I think so unless there was a mistake in the equation)

Pls solve this as soon as possible first gets a brainliest

Answers

Answer:

34

Step-by-step explanation:

4+15+15

Answer:

Area= 34cm squared

f(x)=4x+1 and g(x)=x^2-5 find f+g (x)

Answers

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are adding together f(x) and g(x).

f(x) = 4x + 1

g(x) = x² - 5

(f + g)(x) = (4x + 1) + (x² - 5)

Combine like terms and make sure x² is in the front of the expression so you are following the rules of exponents when in standard form.

(f + g)(x) = x² + 4x - 4

So, (f + g)(x) equals x² + 4x - 4

Which is equivalent to “12 chairs for every 3 tables”?

Answers

Answer:

4 chairs for every table.

Step-by-step explanation:

Write a ratio:

12 chairs : 3 tables = 4 chairs : 1 table

4 chairs for every table.

There are 4 chairs for every table is equivalent to the given sentence " 12 chairs for every 3 tables"

What is the proportion?

A mathematical assessment of two numbers is called a proportion. If two sets of provided numbers rise or fall in the same relation, then the ratios are said to be directly proportional to each other.

The given statement is "12 chairs for every 3 tables"

According to the given question, translate the phrase into an algebraic form :

We can write a proportion as

12 chairs : 3 tables = 4 chairs : 1 table

12 / 3 = 4 / 1

This means 4 chairs for every table.

Therefore, there are 4 chairs for every table is equivalent to the given sentence " 12 chairs for every 3 tables"

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Tom is playing football. He carries the ball forward 7 1/3 yards and then goes backwards 2 feet. How far did Tom carry the ball, in feet after these two plays?

Answers

Answer:

20 feet

Step-by-step explanation:

(7 1/3)3 = 22 feet

22 - 2 = 20 feet

Johnathan picked colored beads from a jar 50 times, replacing the bead each time. He picked a red bead 12 times, a yellow bead 14 times, and a blue bead 24 times. How many blue beads should Johnathan expect to pick out of 150 times?

Answers

Answer: 72 beads

Step-by-step explanation:

From the question, we have the information that Johnathan picked colored beads from a jar 50 times and replaced the bead each time. Jonathan picked a red bead 12 times, yellow bead 14 times, and a blue bead 24 times.

Out of 50 picks, the following beads were picked:

Red = 12

Yellow = 14

Blue = 24

Total = 50

Fraction of blue bead = 24/50 × 100

= 48%

The blue beads that Johnathan will pick out of 150 beads will be:

= 48% of 150

= 48/100 × 150

= 0.48 × 150

= 72 blue beads

Jonathan will pick 72 blue beads out of 150 beads.

Answer:

72 beads

       

:):):):):):):):)

Percentages please answer the question in picture attached

Answers

Answer:

42%

Step-by-step explanation:

there are 4 full colums (sorry for spelling, not english) that have 10 levels each, that add up to 40. then you sum the extra two squares

sorry, i didnt know it required explanation!

Answer:

We can find out how many columns are shaded and we can see that 4 full columns are shaded. Then we count 2 extra squares. We multiply the columns by 10 and get 40. Then we add the extra squares at the end and get 42. Therefore the answer is:

Answer: 42

Channing bought a new bike that retails for $299. If the store is currently
running a promotion for 15% off and the sales tax in her state is 7%, what is
Channing's total at checkout?​

Answers

it should be 271.94

Answer:

299/100*85=$254.15 + 7% = 254.15/100*107= $ 271.9405

Step-by-step explanation:

1. $299/100*85=$254.15 + 7% sales Tax =  $ 271.9405

Find the value of x in the triangle below (please help mee)

Answers

Answer:

[tex]x=50[/tex]

Step-by-step explanation:

An isosceles triangle has both two equal sides and two equal angles.

[tex]180-80[/tex]

[tex]100/2[/tex]

which auser explains why
the sum of 12+12
12+12 is an even
number?

Answers

Answer:

An even number is a number that can be divided into two equal halves.

Also even numbers end in one of these digits: 0, 2, 4, 6, or 8

12 + 12 + 12 + 12 = 48

48 with the digit 8

48 divided in half gives two equal halves:

48/2 = 24

The number 24 can be added twice to check that the answer is correct:

24 + 24 = 48

So to summarize:

The sum of 12 + 12 + 12 + 12 is an even number because it can be equally divided in two halves and it ends in the digit 8.

hope this helps and please make me brainliest if it did :)

Mr. Jackson rented a storage unit in the shape of a rectangular prism. The volume of the unit is 230 cubic yards. The storage unit is 5 and 3/4 yards wide and 10 yards long. What is the height of the storage unit?

Answers

Answer:

4 yards

Step-by-step explanation:

the formula for finding the volume of a shape is volume= to length times with times how tall it is. In this case we do not have the hight so we make a formula. 5 and 3/4 times 10 times hight = to 230. If you do the math you get 4 yards as the answer.

Answer:4 yards

Step-by-step explanation:

NEED HELP: What is the solution to 3(2x – 4) + 2(x + 7) = 6

Answers

Answer:

1/2

Step-by-step explanation:

3(2x – 4) + 2(x + 7) = 66x-12+2x+14=68x+2=68x=4x=4/8x=1/2
The answer is 1/2 I used my ti- calculator

Which survey is biased?
A) going to a grocery store and asking people what their favorite grocery store is.
B) going to the grocery store and asking people what type of food is their favorite
C) going to a grocery store and asking people what clothing store is their favorite
D) Going to grocery store and asking people what radio station do you listen to most often

Answers

Answer:

A

Step-by-step explanation:

A is biased because those people at the grocery store will most likely like that grocery store, since they went there to shop in the first place.

B, C, and D are not biased because there is no correlation between the grocery store and the survey questions.

Option b) going to grocery store and asking people what type of food is their favourite

HELP! Thank you in advance <3

Answers

Answer:

WALK=9 PUPILS

BUS=12 PUPILS

CAR=4 PUPILS

BIKE=4 PUPILS

Step-by-step explanation:

TOTAL=360/10 = 36                          120+90=210

BUS=120/10=12                                  360-210=75/2=37.5

WALK=90/10=9

CAR=37.5/10=3.75=4

BIKE=37.5/10=3.75=4

Can the distributive property be used to rewrite 6(9 - 4) ?

Answers

Answer:

yes distribute . . .

Step-by-step explanation:

the 6 to the 9 and the 4

6(9) - 6(4)=30

todos los numeros negativos son enteros verdadero o falsom.​

Answers

Answer:

False

Step-by-step explanation:

numbers are integers, the integers are negative, zero and positive, 

while natural numbers are only positive, 

therefore the statement is false

 . False. Integers comprise negative and positive numbers (...- 3, -2, -1, 0, 1, 2, 3 ...) and natural numbers only comprise positive integers (0, 1, 2, 3 ...)  

plz help!
solve for p

Answers

Answer:

p = - 5i or p = 5i

Step-by-step explanation:

Noting [tex]\sqrt{-1}[/tex] = i

Given

p² = - 25 ( take the square root of both sides )

p = ± [tex]\sqrt{-25}[/tex] = ± [tex]\sqrt{25(-1)}[/tex] = ± 5i

Thus

p = - 5i or p = 5i

Because p squared is equal to -25, the square root of -25 is equal to p.

Because of this, finding the square root of -25 will give us our answer.

[tex]\sqrt{-25}[/tex] = 5i

Therefore, p = 5i or p = [tex]\sqrt{-25}[/tex].

Hope this helped! :)

What is the scale factor of AABC to A DEF?

Answers

Answer: D

Step-by-step explanation:

the scale factor is 6

Triangle ABC  has the lengths  4,2,4   and DEF has the lengths 24,12,24

so for the triangle ABC's lengths to become triangle DEF  is is supposed to be multiplied by 6

4*6= 24

2*6= 12

4*6= 24

This graph shows how much Lisa earns babysitting, compared with the
number of hours she works. Select the correct statement about the graph.
Lisa's Earnings
06
60
48
Amount Eamed ($)
30
18
12
O
4
Time (hours)
A
Cor con dollar chacorne the number of houreeho unrennen

Answers

Answer:

Step-by-step explanation:

For every hour she earns 12$

The correct statement about the graph is for each hour Lisa earns $12. This can be obtained by studying the graph.

How do we compare the money earned to number of hours ?

By observing the graph we can say that Earnings are directly proportional to Time.

Taking any point on the graph, for example (24,2) we can say that for 2 hours Lisa earns $24 ⇒ for 1 hour she earns $12 .

Hence the correct statement about the graph is for each hour Lisa earns $12.

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Please answer correctly !!!!!!! Will mark brainliest !!!!!!!!!

Answers

Answer:

10x^4 - 4x + 6

Explanation:

Just take the width of the rectangle and multiply each number by 2, including the exponent.

Answer & Step-by-step explanation:

We can solve this problem by multiplying the the expression by 2 one term at a time just like it is shown in the diagram. Your exponent will remain the same.

(5x² * 2) + (-2x * 2) + (3 * 2)

10x² - 4x + 6

So, once you multiply th terms togehter, your final answer will (10x²-4x+6)

A line that passes through [-7,3] and [-6,-1]

Answers

Sorry idk, but I’ll try to do it

The table shows the age, in years, of employees in a company.
Age (a) in years
Frequency
18 < a < 20
3
20 < a < 22
2
22 < a < 24
7
24 < a < 26
8
0
26 < a
a) Find the modal class interval.​

Answers

The answer is the last one 26

write a quadratic function f whose zeros are -2 and -9

Answers

Answer:

f(x) = x^2 + 11x + 18.

Step-by-step explanation:

As the zeroes are -2 and -9 the factored form  is

f(x) = a(x - (-2))(x -  (-9))   where a is some constant.

As we want any quadratic function with theses zeros we  can let a = 1 so:

f(x) = (x + 2)(x + 9)

f(x) = x^2 + 2x + 9x + 18

f(x) = x^2 + 11x + 18.

The required quadratic function is given as x²+11x+18 = 0,

Given that,
To write a quadratic function f whose zeros are -2 and -9

What are functions?

Functions is the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.

Here,
x = -2 and x = -9
x  2 = 0  and x + 9 = 0
The function is given as,
(x + 2)(x + 9) = 0
x²+11x+18 = 0,

Thus, the required quadratic function is given as x²+11x+18 = 0,

learn more about function here:

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Can someone please help me???

Answers

Answer:

Stem    Leaf

2              8

3              4, 4

5              0, 4

name the property used in the following -2/7+0=0+-2/7=-2/7​

Answers

Answer:

commutative propertyidentity element

Step-by-step explanation:

  -2/7+0 = 0+-2/7 . . . . commutative property of addition

The commutative property allows you to swap the order of operands being summed.

  0+-2/7 = -2/7​ . . . . identity element of addition

The identity element for addition is 0. That is, adding 0 to anything does not change its value.

what is the area of the triangle below?

Answers

Answer: 10

Step-by-step explanation:I like using this method:

Put a square which covers this triangle

Find the area of the rectangle which is 20

Half it which is 10

Now you have the area which is 10

Answer: The other answer is incorrect!

Step-by-step explanation:

An easier way is just imagine it being straight and not slanted. Counting the base its 3blocks and counting from the highest point all the way to the base its 4 blocks. Base=3 blocks and height=4 blocks. Substituting into the tirangle area formula which is b(h)/2 (base times height divided by 2).

You have 3x4=12.

Then 12/2=6 blocks

Therefore the area of the given triangle is 6 blocks squared (din)t forget the square).

The other answer is incorrect because this triangle is not half of this rectangle and in this question it’s just a grid (we have to use the grid)!

Trust me I know this.

Hope this helps!

The length of a rectangular swimming pool is p m and its width is q m. It is given that the length of the swimming pool is twice its width. If the perimeter of the swimming pool is 150 m, find the values of p and q.

(**please use the simultaneous linear equations in two variables to solve this question)

**if you have answer this question I will choose you to be the brainlest answer** ​

Answers

Answer: q = 25 m, p = 50 m

Step-by-step explanation:

p is the length, and q is the width.Since the length is twice as long as the width, we can come up with the equation: p = 2qSince the perimeter is 150, we can also come up with this formula since the perimeter is all sides added together: 2p + 2q = 150Since we have two equations, we can just plug them into each other. First, let's substitute the 2q in the second equation with p that is defined in the first equation: 2p + p = 150If we simplify that, we get: 3p = 150Now we know that p = 50 m.Now, if you plug in 50 into the first equation you get: 50 = 2q.Next, just simplify, and you know that q = 25 m.Therefore, p = 50 m, q = 25 m.

Drag the tiles to the correct Boxes to complete the pairs
Match each function to its domain.​

Answers

Answer:

third function: first domain

first function: second domain

last function: third domain

second function: last domain

Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour days Xavier can work for the rest of the week?

Answers

Answer:

He can work a maximum of 2 8-hour days for the remainder of the week

Step-by-step explanation:

Firstly, from the question, we are made to know that the maximum work hours is 40 hours.

Now, we know that he has already worked 24 hours this week, the number of hours remains to work will be 40-24 = 16 hours

Now, given that his working hour is 8-hours per day, we want to know the number of days he has to work for the remainder of the week

Mathematically, that would be 16 hours divided by 8-hours days

That is 16/8 = 2

Answer:

2

Step-by-step explanation:

just took the test

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