Point A has coordinates (3,4). After a translation 4 units left, a reflection across the x-axis, and a translation 2 units down, what are the coordinates of the image?

Answers

Answer 1

Answer:

The coordinates of the image of point A are (-1, -6)

Step-by-step explanation:

Let us revise the rule of translation to the left, down, and reflection across the x-axis

If the point (x, y) translated horizontally to the left by h units then its image is (x - h, y) ⇒ T (x, y) → (x - h, y)If the point (x, y) translated vertically down by k units then its image is (x, y - k) ⇒ T (x, y) → (x, y - k)If the point (x, y) reflected across the x-axis, then its image is (x, -y), the rule of reflection is rx-axis (x, y) → (x, -y)

∵ The coordinates of point A are (3, 4)

∵ It is translated 4 units left

h = 4

→ By using the 1st rule above

∴ Its image is (3 - 4, 4)

Its image is (-1, 4)

∵ Its is reflected across the x-axis

→ By using the 3rd rule above change the sign of its y-coordinate

The new image is (-1, -4)

∵ It is translated 2 units down

k = 2

→ By using the 2nd rule above

∴ The final image is (-1, -4 - 2)

The final image is (-1, -6)

The coordinates of the image of point A are (-1, -6).


Related Questions

35 is what percent of 35

Answers

Answer:

100% 35/35 is 1 so 100%

Step-by-step explanation:

100% sure this is right gimme brainliest

Which of the following equations represent linear functions?

y=4(2x)−3

x2+y=1

y=2x√

y=−2

Answers

Answer:

y = 4(2x) − 3 y = −2

Step-by-step explanation:

Given functions:

y = 4(2x) − 3 x² + y = 1 y = 2√ xy = −2

Linear functions have the form of

ax + by + c = 0 or y = mx + b

Therefore functions 1. and 4. are linear functions, the other two aren't

What is the value of x in the figure below? In this diagram, ΔABD ~ ΔCAD.

Answers

Answer:

D

Step-by-step explanation:

The triangles CDA and ADB are similar, thus the ratios of corresponding sides are equal, that is

[tex]\frac{CD}{AD}[/tex] = [tex]\frac{DA}{DB}[/tex] , substitute values

[tex]\frac{13}{x}[/tex] = [tex]\frac{x}{3}[/tex] ( cross- multiply )

x² = 39 ( take square root of both sides )

x = [tex]\sqrt{39}[/tex] → D

Answer:

D is the answer

Step-by-step explanation:

2+2+2-2x4x9x2+2+2+4+4x9+1938x3871

Answers

Answer:

7,501,904

I hope this helps!

Answer:

75020220.86 is the answer

Choose the best units (liters - l) or (milliliters - ml) to measure each of the following liquids.

The amount of liquid that would fill a test tube
The amount of mouthwash that would fill a travel-sized container
The amount of coffee that would fill a thermos

Answers

ml
ml
L.
Your welcome.

A ribbon 9 feet long is cut into two pieces. One piece is 1 foot longer than the other.
What are the lengths of the two pieces?

Answers

5 feet and the other side is 4 feet!!

Please help!!! Will mark brainliest if you show your work and the answer!

Answers

Answer: Mario

Step-by-step explanation: 8 squared is 64 and 12 squared is 144, 18 squared is 324. According to the Pythagorean theorem, A squared + B squared = C squared but in this case, A squared and B squared doesn't add up to C squared so it is wrong

At the movie theatre, they give out a free drink to every 75th customer and a free bag of popcorn to every 30th customer. On Monday 3,000 customers came to the theatre. How many people received both free items?

Answers

140 people received something free. 40 people received a free drink and 100 people received a free bag of popcorn

what is the solution to this equation?



A. x=-4
B. x= 100
C. x= 4
D. x=-100

Answers

Answer:

             D.    x = - 100

Step-by-step explanation:

[tex]\bold{\dfrac x5=-20}\\{}\ \ ^{\cdot5\qquad\cdot5}\\\bold{\dfrac x5\cdot\dfrac51=-20\cdot5}\\\\\bold{x=-100}[/tex]

he quadrilateral PQRS in the diagram is a parallelogram. Let P'Q'R'S' be the image of PQRS after applying a dilation centered at a point O (not shown) with scale factor 3.

Answers

Answer:

P”Q=3PQ

Step-by-step explanation:

PLEASE HELP I WILL GIVE YOU 40 POINTS!!!! make sure you 100 percent corect!

Answers

Answer:

number 1 answer

a saying you have to add all the w's

b saying that you have to add 2w with 2w

c saying it is the simpliyed answer

number 2 answer

a. 2w + 20 + 2w

b. 4w + 20

number 3 we are unable to answer

Step-by-step explanation:

What is 5 + 100 + 300,909,786

Answers

Answer:

300909891

Step-by-step explanation:

Answer:

300,909,891

Step-by-step explanation:

5(2x-3-4z) Use the distributive property to rewrite the expression above​

Answers

Answer:

= 10x-15-20z

Step-by-step explanation:

5 x 2=10 add the x to the end

5 x 3=15

5 x 4= 20 add the z to the end

Hope this helps (:

Answer= 10x-15-20z

Step by Step Explanation:

5(2x-3-4z) or 5•(2x-3-4z) which means the whole equation inside of the parentheses times 5; answer=10x-15-20z.

Write the equation or inequality and solve it.

Enrique’s company pays Salim to advertise on Salim’s website. Salim’s website earns #15 per month plus $0.05 every time a visitor clicks on the advertisement. What is the least number of clicks per month that Salim needs in order to earn $50 per month?

Write an inequality to describe this situation.

Solve the inequality and interpret the solution.
IF YOU DONT KNOW PLZ DONT ANSWER

Answers

Answer:

2000

Step-by-step explanation:

Salim will need to get 2000 clicks in order to get $50 per month or more.

First: 5 cents goes into one dollar 20 times.

Second: You multiply 20 times 50. This is how you get 2000. There is your answer.

Pls Mark Brainliest

Hi madinashakari91 how are you?

I still think you're pretty

If you were asked to find the total number of tiles covering a circular floor, would you look to find the area or circumference?

Answers

Answer:

The area.

Step-by-step explanation:

The circumference would only cover an outline of the floor. Hope this helps!

1. There are infinite black and white dots on a plane. Prove that the distance between one black dot and one white dot is one unit.

Answers

Answer:

Between each black and white dot equals 1 unit because there are infinite dots, meaning that each dspace between the dots would equal 1 unit.

Step-by-step explanation:

What are the missing parts that correctly complete the proof?

Given: point P is on the bisector of ABC.

Prove: point P is equidistant from the sides of ABC.

1. BP is the bisector of ABC- given

2. ABP≈CBP- ?

3. BXP and BYP are right angles- given

4. ?- all right angles are congruent

5. BP≈BP- ?

6. BXP≈BYP- ?

7. ?- corresponding parts of congruent triangles are congruent

8. Point P is equidistant from the sides of ABC- definition of equidistant

Answers

Answer:

Hello, I just took the test today. I will attach a screenshot. I hope I am not too late answering your question.

This question stumped me too at first. I hope this helps!

The missing parts that correctly complete the proof are;

2) Definition of a bisector

4) ∠BXP ≅ ∠BYP.

5) Reflexive property of congruence.

6) AAS congruence theorem.

7) Corresponding sides of congruent triangles are congruent.

We are given;

Point P is on the bisector of ∠ABC.

2) ∠ABP ≅ ∠CBP; The symbol ≅ means congruent. This means they are equal and it is true because it corresponds with the definition of a bisector means dividing into 2 equal parts.

4) All right angles are congruent; Congruent means equal and the two right angles we have in the image are; ∠BXP and ∠BYP. Thus, we can write; ∠BXP ≅ ∠BYP.

5) BP ≅ BP; This means that Line BP is congruent and equal to itself and this fulfils the theorem called reflexive property of congruence.

6) ΔBXP ≅ ΔBYP; This means ΔBXP is congruent to ΔBYP. Since we have established that ∠BXP ≅ ∠BYP; ∠ABP ≅ ∠CBP; BP ≅ BP. It means we have 2 corresponding angles and one corresponding side equal to each other from the 2 congruent triangles and so we can say this fulfils the AAS congruence theorem.

7) PX ≅ PY; This means PX is congruent to PY. From congruence theorem, corresponding sides of congruent triangles are congruent.

Read more at; https://brainly.com/question/11357763

A computer downloads a movie at a constant rate. What does the slope represent?

Answers

Answer:

hope it helps you

Step-by-step explanation:

A computer downloads a movie at a constant rate. What does the slope represent? 2000

Download (megabytes)

000-

400

Time (min)

CLEAR

CHECK

Number of minutes for download completion

Downloading speed in megabytes per minute

Unit rate of minutes per megabyte

Unit rate of megabytes per movie

Answer:

Downloading speed in megabytes per minute

Step-by-step explanation:

did on ttm

how do you evaluate cube roots and square roots( in simple words pls)

Answers

Answer:

To evaluate square roots, find the prime factorization. If all the exponents are even, then it is a square root! Just divide the exponents by 2, and multiply them together. To evaluate cube roots, find the prime factorization. If all the exponents are multiples of three, it is a cube root! Just divide the exponents by 3 and multiply them together.

Step-by-step explanation:

The sides of a triangle are as follows:
AB = 10 in
BC = 14 in
AC = 8 in
Order the angles of the triangle from smallest to biggest.
<B, <A, <C
<B, <C,<A
<A, <C, <B
<A, <B, C​

Answers

Answer:

The order of the angles of Δ ABC from smallest to biggest is

∠B < ∠C < ∠A B

Step-by-step explanation:

There is a fact about a triangle

The longest side is opposite to the greatest angleThe shortest side is opposite to the smallest angle

Let us use this fact to solve our question

In Δ ABC

∵ AB = 10 inches

∵ BC = 14 inches

∵ AC = 8 inches

→ Find the longest and shortest sides

BC is the longest side

AC is the shortest side

∵ BC is opposite to ∠A

∠A is the biggest angle in measure

∵ AC is opposite to ∠B

∠B is the smallest angle in measure

The order of the angles of Δ ABC from smallest to biggest is

   ∠B < ∠C < ∠A

Find the distance between the two points rounding to the nearest tenth (if necessary (8, 7) and (1, - 2)

Answers

Answer: 11.4

Step-by-step explanation:

You would use the distance formula.

(1−8)^2+(−2−7)^2

=(−7)^2+(−2−7)^2

=49+(−2−7)^2

=49+(−9)^2

=49+81

=130

= 11.4

Write the following number in Scientific Notation.
Explain what you did to get your answer
560,000,000,000,000,000

Answers

Answer:

5.6 * 10^17.

Step-by-step explanation:

There are 17 digits after the 5 .

So it's 5.6 * 10^17.

Note that the first number must lie between 1 and 10.

I don't really understand which number we have to write in scientifc notation but I am assuming it is the number 560,000,000,000,000,000.

Ok so, 560,000,000,000,000,000 in scientific notation is 5.6 x 10^17.

This is because if you count the number of spaces behind the decimal point of 5.6 it is equal to 17. So, you would write the answer 5.6 x 10^17.


Transversal / cuts lines a, b, c, and d.
Which two lines are parallel?

Answers

Answer:

A

Step-by-step explanation:

If and represent rational expressions and b0 and y0, what is true of their product? Select three options.

The product is equivalent to .
The product is a rational expression.
The product is equivalent to .
The product is the ratio of ax and by.
The product is equivalent to .

Answers

The product with be rational expression

Answer:

B,C,D

Step-by-step explanation:

i took the test

3/5 is equal to what in decimal form?

Answers

Answer:

.60

Step-by-step explanation:

this is the only thing i do not understand about geometry

Answers

Answer:

see explanation

Step-by-step explanation:

Using the tangent ratio in the right triangle

tan40° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{opp}{20}[/tex] ( multiply both sides by 20 )

20 × tan40° = opp , thus

opp = 20 × 0.839 ≈ 16.78 , then

height of traffic light = 16,78 + 5 = 21.78 ft

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

Using the tangent ratio in the right triangle

tan42.71° = [tex]\frac{opposite}{adjacent}[/tex] = [tex]\frac{150}{d}[/tex] ( d is the distance between store and bank )

Multiply both sides by d

d × tan42.71° = 150 ( divide both sides by tan42.71° )

d = [tex]\frac{150}{tan42.71}[/tex] = [tex]\frac{150}{0.923}[/tex] = 162.5 m

how do you Factor in algebra 2?

for example:
r^2-r-20
and
x^2+8x+12

Answers

(r-5)(r+4)

(x+6)(x+2)

Step-by-step explanation:

1 r^2 - 1 r - 20

multiply the first and third terms

-20 times 1 equals -20. take the -1

*what are two numbers that multiply together that equals -20 but add to equal -1?

-5 times 4 equals -20

-5 plus 4 equals -1

(r-5)(r+4)

1 x^2 + 8 x + 12

multiply the first and third terms

12 times 1 equals 12. take the 8

*what are two numbers that multiply together that equals 12 but add to equal 8?

6 times 2 equals 12

6 plus 2 equals 8

=(x+6)(x+2)

Write a single transformation that maps ABC onto A' B' C'

Answers

9514 1404 393

Answer:

  Either of ...

(x, y) ⇒ (-x, -y)Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

simplify the fraction 15/45​

Answers

Answer:

1/3 or .3333333.....

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

you can divide both the numerator and the denominator by 5

15/5=3

45/5=9

then divide by 3 to both sides

hope this helps :3

if it did pls  mark brainliest

The slope of the line whose equation is 3 x - 2 y = 4 is:

A. 2/3

B. -2

C. 3/2

Answers

Answer:

c 3/2

Step-by-step explanation:

Other Questions
is 800 cm greater than 8 cm 5. How does the author create a unifying thread that supports his messagethroughout the article?A. The author includes several specific examples of musicians who overcame odds.B. The author tells the stories of musicians who used self-confidence to becomesuccessfulC. The author uses an illustration to symbolize the two paths available to any youngpersonD. The author references the poem "The Road Not Taken" throughout the text, relatingit to the individuals' stories. please help asap, the question is in photo Two routes to China included: A an all-water route to India B a land route across China a combination land andC water route Se debe medir el bienestar social de un pas slo por datos econmicos? A daring stunt woman sitting on a tree limbwishes to drop vertically onto a horse gallop-ing under the tree. The constant speed of thehorse is 6.8 m/s, and the woman is initially1.91 m above the level of the saddle.How long is she in the air? The accelerationof gravity is 9.8 m/s.Answer in units of s. write in standard form 9 times 100 The distance between the Sun and each planet in our solar system varies because the planets travel in elliptical (oval) orbits around the Sun rather than completely circular ones.Here is a table of the average distance and the variation in the distance for the five innermost planets in our solar system:Average Distance and VariationPlanet Name Average Distance VariationMercury 36.0 million miles 7.39 million milesVenus 67.2 million miles 0.43 million milesEarth 93.0 million miles 1.55 million milesMars 142 million miles 13.2 million milesJupiter 484 million miles 23.2 million miles"Average distance" means the mean distance that planet is from the sun over the course of its orbit, and "variation" means how far it varies from that mean. For example, if a planet had an average distance of 5 miles and a variation of one mile, it would have distances between 4 and 6 miles at different times. a) Write and solve an inequality to represent the range of distances that can occur between the Sun and one of the planets from the table (your choice). Show your steps/process.b) Why is this best represented as an inequality rather than an equation? Explain in at least 3 sentences. A math test had 26 questions. The questions were either true/false or multiple choice. The true/false questions were worth 2 points each and the multiple choice were worth 5 points each. If the test is worth 100 points, how many of each type of question are included on the test? What components does the solar system appear to have formed from? Travel time data is collected on an arterial. With 30 runs, an average travel time of 152 seconds is computed over the 2.0 miles length, with a computed standard deviation of 17.3 seconds. Required:a. Compute 95% confidence bounds on your estimate of the mean.b. Was it necessary to make any assumption about the shape of the travel-time distribution? what is a likely oxidationstate of Chlorine?a)-1b) 7C) -7d) +1 g + 10 = 3gTranslate into a sentence !! HELPPPPP What is a thesis stament If the Mass Number is the sum of the protons and neutrons in an atom, what isthe mass number of Which part of an animal or plant cell contains the cell's genetic information?ribosomemitochondriacytoplasmnucleus. MRS. HALE. Dutys all right, but I guess that deputy sheriff that came out to make the fire might have got a little of this on. (Gives the roller towel a pull.) Wish Id thought of that sooner. Seems mean to talk about her for not having things slicked up when she had to come away in such a hurry. a possible advantage of hearing this scene, as opposed to reading it silently, is that ;A. Readers can better visualize what each of the characters looks like.B. trivial lines of dialogue can be skipped without causing confusion.C. various sound effects can be used to create or enhance the mood.D. different lighting techniques can be used to heighten the conflict. Hector has his arms raised straight out to the sides. Which best describes the direction of the body?His arms are parallel to his torso.His arms are perpendicular to his torso.His arms are inferior to his torso.His arms are medial to his torso. HELP ME PLEASE!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! :3I have to do what the image below says but I don't know how to write it:,) A rectangular room is covered in 5 12 square feet of carpet. If the length of the room is 16 feet,what is the width of the room?