Triangle ABC has coordinates A (0, 4), B (1, 3), and C (-2, 4). If triangle ABC is reflected over the x axis and then translated such that (x, y) → (x+3, y-1), what is the resulting image of point C?

Answers

Answer 1

The resulting image of point C is C''(x, y) = (1, - 5).

What are the coordinates of the image of a point by using a rigid transformation?

The triangle seen on the Cartesian plane is generated by three points on that plane. The image of the triangle is the result of reflecting the three vertices over the x axis and later translating them 3 units in the +x direction and a unit in the - y direction, two kinds of rigid transformations.

Now we proceed to show the entire procedure:

Reflection over the x-axis

C'(x, y) = C(x, y) + (0, - 2 · c)

C'(x, y) = (- 2, 4) + (0, - 8)

C'(x, y) = (- 2, - 4)

Translation

C''(x, y) = (- 2, - 4) + (3, - 1)

C''(x, y) = (1, - 5)

The resulting image of point C is C''(x, y) = (1, - 5).

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Related Questions

BRAINLY FOR CORRECT ANSWER

m∠1=?
m∠2=?
m∠3=?
m∠4=?
m∠5=?
m∠6=?

Answers

1 = 60
2 = 120
3 = 60
4 = 120
5 = 30
6 = 30

Select the function that represents the simple interest formula.

Answers

Answer:

Step-by-step explanation:

A P E X

What is the equation of the line that passes through the point (-6, -2) and has a
slope of 1/6

Answers

Answer:

y=1/6x-1

Step-by-step explanation:

Recall that the equation of a line is y = mx + b.

m is the slopeb is the y-intercept

We know the line passes through (-6, -2), so we substitute x and y in the equation of a line. We also know the variable m (the slope) is 1/6. It would look something like this: -2=(1/6)(-6) + b.

From here, we can solve for b:

b + (1/6)(-6) = -2

b - 1 = -2

b = -1

The equation of the line that passes through the point (-6,-2) with a slope of 1/6 is y=1/6x-1.

This is my first solution, let me know if I can improve on anything. Thanks, have a great day!

could someone explain? i will have brainliest! thanks

Answers

Answer:

a. 44

Step-by-step explanation:

using inverse cosine we can find the angle since we have the length of the hypotenuse and adacent

cos^-1 (13/18) = 43.76

The clock below shows what time mason mom drops him off for practice . what time did mason mom drop him off

Answers

Answer:

where is the clock?

Step-by-step explanation:

Lauren, Shannon, and Maddie all work at a restaurant. Lauren earned $11.00 less than 3 times the amount Maddie earned. ShWhich equation below correctly represents the situation above?annon earned $9.00 more than 2 times the amount Maddie earned. If Lauren and Shannon both earned the same amount of money, how much money, m, did Maddie earn?

Answers

Music us enter a memento ---L'ordinateur

Use synthetic division to evaluate f(x)=x^3-2x^2+4x+3 for x=2 . f(2)=
Need help asap

Answers

Step-by-step explanation:

Your problem is equivalent to

(x3 - 3x2 + x - 4)/(x-2)

The coefficients of the numerator are 1, -3, 1, -4.

The solution is as follows:

2 | 1 -3 1 -4 Set up the coefficients in decreasing power of x, and 2 is the divisor.

2 -2 -2

------------------

1 -1 -1 -6

Here are the steps:

(a) Bring down the leading coefficient of 1.

(b) 2*1=2. Add -3 and 2 to obtain -1.

(d) -1*2=-2. Add -2 and -4 to obtain -6

The quotient has the coefficients 1,-1,-1 so it is x2 - x - 1. The remainder is -6.

Answer :

The result is x2 - x - 1 - 6/(x-2).

You can verify that the answer is correct, because

(x-2)*(x2 - x - 1) - 6 = x3 - 3x2 + x - 4

Hope this helps you

PLEASE HELP!!!!!

Write the equation in slope-intercept form.
4y + 12x = 16

Answers

Answer:

Y = -3x + 4

Step-by-step explanation:

The given equation in slope-intercept form is y = -3x + 4.

Given that, the equation in slope-intercept form is 4y + 12x = 16.

What is the slope intercept form?

The slope intercept form of a straight line is one of the most common forms used to represent the equation of a line. The slope intercept formula can be used to find the equation of a line when given the slope of the straight line and the y-intercept.

The standard form of the slope intercept form is y=mx+c.

Here, 4y + 12x = 16

⇒ 4y = -12x + 16

⇒ y = -3x + 4

The slope of an equation is -3.

Therefore, the given equation in slope-intercept form is y = -3x + 4.

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I have no clue what it is so please help me

Answers

Answer:

B I think

Step-by-step explanation:

what is the opposite of the integer -23

Answers

i think it’s gonna be 23

Answer:

Step-by-step explanation:

The opposite of a number is the opposite sign of it. So, the opposite of a negative number is a positive number:

Opposite of -23 is 23

please help me solve this

Answers

Answer:

x = -4

Step-by-step explanation:

Find the distance between the images and then the mid-point of that distance.

need help w algebra pls asap. i’ll mark brainlist!!

Answers

Answer:

The mistake is that they left the i^2 as it is instead of making it -1 because i is the square root of -1. You fix this by replacing i^2 by -1 and you will get (4-7i)/5

Step-by-step explanation:

Please help tia!!!!!!

Answers

Answer:

i believe the answer for #2 is F but i could be wrong

Answer:

Step-by-step explanation:

Given the point (2.6) is ok the graph of Y=f(x)
what are the coordinates of the point of the transformed graph: y=-2f(-(x+4))+3?

Answers

y = -2fx (-x + 4) +3

y = 2fx -8f + 3

y = 2fx - 8f + 3

160 is what % of 40
plz explain

Answers

Answer:

150%

Step-by-step explanation:

this is because you can make a part to whole ratio where you have x/100 (which would symbolize the percent) and 160/40 (which would symbolize the part) then, multiply 160 by 100 to get 16000 and then divide by 40 to fulfill the x. Hope this helps!

You might need: Calculator
Find the area of a circle with a diameter of 4.
Either enter an exact answer in terms of r or use 3.14 for it and enter your answer as a decimal.
answerin
units2

Stuck? Watch a video or use a hint.
Report a

Answers

A=3.14(2^2)
A=12.56 m^2

estimate of 372 divided by 4

Answers

That gives you 93. But round down to 90

How do I do this? Please help

Answers

Answer:

Step-by-step explanation:

SEE ATTACHMENT

Create a table of values, and plot them.

graph the points of the equations onto the graph

5 people will equally split 861 acres of land. How much land will each person get?
Write your answer as a decimal.

Answers

Answer:200.25

Step-by-step explanation:

Describe the transformation in each function as it relates to the graph of the parent function.
g(x) = (x – 2) – 8

and please even you think its embarssing just awnser

Answers

I’m only in 6th grade and all I can tell you is that X = 10, hope this helps! ;)

Which graph shows the solution to this system of inequalities? y -3x - 2
y < x + 1

Answers

Answer:

Step-by-step explanation:

You're welcome

Hope you guys have a good Christmas!!!

Answers

Answer:

hope I will and you do to

Good capitalization. I am impressed.

A migrating bird flies 378 miles in 14 hours. How many miles does it fly in 3 hours?

Answers

Answer:

81 miles

Step-by-step explanation:

378/14=27

The unit rate is 27 miles per hour

27*3 = 81

2x1+(1+7)+(7x2) write this expression as the product of two products

Answers

2x1+(1+7)+(7x2)➡️ 3+(8)+(14)➡️25

What is the written form of 245,698?
O
A. wo hundred forty-five and six ninety-eight
B. two hundred thousand six hundred
OC. wo hundred forty-five thousand six hundred ninety-eight
oD. wo million forty-five thousand six hundred ninety-eight why is there nothing here

Answers

Answer:

it is c it is c, can't really explain it further

Answer:The Answer is c

Step-by-step explanation:

two hundred =2

forty=4

five=5

six hundred=6

ninety=9

eight=8

245,698

Zane puts $1,000.00 into an account to use for school expenses. The account earns 11% interest, compounded annually. How much will be in the account after 4 years? Use the formula A= P (1+/), where A is the balance(final amount), P is the principal(starting amount), r is the interest rate expressed as a decimal, n is the number of times per year that the interest is compounded, and t is the time in years. Round your answer to the nearest cent.

Answers

Answer:

$1518.07

Step-by-step explanation:

A = 1000(1 + 0.11)^4

Nick bought jeans for $34.95 and a shirt for $24.95. The cashier said the total cost including 8.5% sales tax was $68.40. Below are the steps the cashier completed: Step 1: 34.95 + 24.95 = 59.90 Step 2: 59.90 + 8.50 = 68.40 Are the cashier's steps correct? If not, explain the error and then state in complete sentences how to calculate sales tax and total cost correctly. Make sure you give the correct total. (Round the final answer to the nearest hundredth

Answers

Answer:

The cashier is wrong

[tex]Amount = 64.99[/tex]

Step-by-step explanation:

Given

[tex]Jeans=34.95[/tex]

[tex]Shirt = 24.95[/tex]

[tex]Sales\ Tax = 8.5\%[/tex]

Solving (a): Is the Cashier's step correct?

The cashier is wrong at step 2 because instead of calculating the sales tax, the cashier add the sales tax percentage to the total cost.

Solving (b):

First, calculate the total cost by adding the cost of jeans and shirt respectively:

[tex]Total = 34.95 + 24.95[/tex]

[tex]Total = 59.90[/tex]

Next, multiply the sales tax percentage to the total cost to get the sales tax amount.

[tex]Sales\ Tax = 8.50\% * 59.90[/tex]

[tex]Sales\ Tax = 5.0915[/tex]

Add the sales tax to the total, this gives the total payable amount.

[tex]Amount = 59.90 + 5.0915[/tex]

[tex]Amount = 64.9915[/tex]

[tex]Amount = 64.99[/tex] approximated

Determine the constant

Answers

Answer:

Something that occurs continuously, or something that doesn't change!

Step-by-step explanation:

What will happen to the slope of line P if the line is shifted so that the y-intercept increases and the x-intercept remains the same?

The slope will change from positive to negative

The slope will increase

The slope will change from negative to positive

The slope will decrease

Answers

Answer:

Step-by-step explanation:

⊕ The slope will increase

What is the slope of a line parallel to the line whose equation is 6x + 3y = -54

Answers

The slope of the line parallel to the line is -2

What are linear equations?

Linear equations are equations that have constant average rates of change. Note that the constant average rates of change can also be regarded as the slope or the gradient

How to determine the slope of the line parallel to the line?

The line equation is given as

6x + 3y = -54

Subtract 6x from both sides

3y = -6x - 54

Divide through the equation by 3

So, we have

y = -2x - 17

A linear equation is represented as

y = mx + c

Where m represents the slope

This means that

m = -2

Parallel lines have the same slope

This means that the slope of the line parallel to the line is -2

Read more about slope at

https://brainly.com/question/3493733

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