What is the translation of the point to its image? A (−1, 4)→ A' (3, 3)

Answers

Answer 1

Answer:

We validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)

Step-by-step explanation:

Given

A (−1, 4)→ A' (3, 3)

Here:

A(-1, 4) is the original pointA'(3, 3) is the image of A

We need to determine which translation operation brings the coordinates of the image A'(3, 3).

If we closely observe the coordinates of the image A' (3, 3), it is clear the image coordinates can be determined by adding 4 units to the x-coordinate and subtracting 1 unit to the y-coordinate.

Thue, the rule of the translation will be:

A(x, y) → A' (x+4, y-1)

Let us check whether this translation rule validates the image coordinates.

A (x, y) → A' (x+4, y-1)

Given that A(-1, 4), so

A (-1, 4) → A' (-1+4, 4-1) = A' (3, 3)

Therefore, we validate that the formula to determine the translation of the point to its image will be:

A (x, y) → A' (x+4, y-1)


Related Questions

Josh was packing to move to another office. He packed 3 2/5 boxes on Tuesday and 2 9/10 boxes on Wednesday. After everything was moved to his new office on Wednesday afternoon, he only found 4 1/4 boxes. How many boxes were missing?

Answers

Answer:

2 1/10 boxes were missing.

Step-by-step explanation:

It is given that,

Josh packed [tex]3\dfrac{2}{5}[/tex] boxes on Tuesday

Josh packed [tex]2\dfrac{9}{10}[/tex] boxes on Wednesday

After everything was moved to his new office on Wednesday afternoon, he only found [tex]4\dfrac{1}{4}[/tex] boxes.

We need to find the no of boxes that are missing.

Total no of boxes packed on Tuesday and Wednesday,

[tex]3\dfrac{2}{5}+2\dfrac{9}{10}\\\\=\dfrac{17}{5}+\dfrac{29}{10}\\\\=\dfrac{63}{10}[/tex]

Missing boxes :

[tex]M=\dfrac{17}{4}-\dfrac{63}{10}\\\\=\dfrac{41}{20}\\\\=2\dfrac{1}{20}[/tex]

Hence, 2 1/10 boxes were missing.

The number of newly reported crime cases in a county in New York State is shown in the accompanying table, where x represents the number of years since 2007, and y represents number of new cases. Write the linear regression equation that represents this set of data, rounding all coefficients to the nearest hundredth. Using this equation, estimate the calendar year in which the number of new cases would reach 1344.
Years since 2007 (x) New Cases (y)
0 1112
1 1081
2 1116
3 1159

Answers

Answer:

y=17.6x+1090.6

2021

Step-by-step explanation:

Got this off of Delta Math. So this answer is 100 percent correct!

A group of friends paid $7 each to play a round of golf . It also cost $ 12 to rent a golf cart. As a group, they paid $ 33 altogether . Determine the number of friends that played golf .

Answers

Answer:

3 friends played golf

Step-by-step explanation:

33-12=21

21/7=3

there are 1500 book in a library. if the ratio of English, hindi, and urdu is 4:5:1,then find the number of book of each language​

Answers

Answer:

Total : 1500

English : 4x

Hindi :5x

Urdu :1x

4x +5x+x = 1500

10x = 1500

x = 1500/10= 150

English : 4x:600

Hindi :5x : 750

Urdu :1x : 150

Can someone please help me with this? It's the only question I need help with (since we are reviewing things that we learned in 6th grade again)

Answers

Answer: 18 mega rolls

Step-by-step explanation:                      

Answer:

the second one is a better deal.

Step-by-step explanation:

first deal:

6 rolls for 9.24

9.24/6 = 1.54

1.54$ per roll

second deal:

18 rolls for 27.54

27.54/18 = 1.53

1.53$ per roll

the second one is one cent cheaper

3. Identify the initial value from the table.
A. 7
B. 9
C. 3
D. 1

Answers

Answer:

C

Step-by-step explanation:

Graph a line that contains (-2,7) and a slope of 4

Answers

Answer:

The equation would be y = 4x + 15

Answer:

draw a line trogh the points (-2, 7) and ( -1,11)

Step-by-step explanation:

Plot the first point (-2,7) then go 4 up and 1 right (because the slope is

4 = 4 rise/1run ), plot that second point ( -2+1, 7+4) = (-1, 11), and connect them.


Please help i need the answer in fraction form

Answers

Answer is 7/6

Explanation: 7 how much it is going up in the y plane, and 6 is how much it is going up in the x plane. It is already in the simplest form.

Need help asap please

Answers

Answer:

Fatima

Step-by-step explanation:

just follow where the point is to get the ordered pair lol

Which of the following is the value of PQ?


A) 46

B) 61

C) 91

D) 67

Answers

Answer:

d.67

Step-by-step explanation:

Answer:

B) 61

Step-by-step explanation:

QR = QS

3x + 16 = 7x - 24

16 + 24 = 7x - 3x

40 = 4x

x = 40/4

x = 10

substitute x=10 into PQ = 2x+41

PQ = 2(10) + 41

PQ = 20 + 41

PQ = 61

PLZ HELP ME ITS 30 POINTS PLZ HELP ME ITS 30 POINTS

Answers

Answer:

thankssss

Step-by-step explanation:

Answer:

ty

Step-by-step explanation:

Sean multiplied two numbers and the resulting product was an irrational number. If the first number was 7/3, which of the following could be the second number? Two apply. 3/7, 2pie, 1, square root of three

Answers

Answer: 2*pi and √3.

Step-by-step explanation:

We know that when we multiply a rational number different than zero and an irrational number, the product will be also an irrational number.

Then if one of the numbers for this case is 7/3 (A rational number), the other must be an irrational number.

The given options are:

3/7 (is a rational number, so this is not the correct option)

2*pi (pi is an irrational number, then 2*pi is also an irrational number)

Then (2*pi)*3/7 will be an irrational number.

1 (this is a rational number, then this is not the correct option)

√3 (This is an irrational number, then this will be a correct option)

Then the two correct options are:

2*pi and √3.

HELP
Which statements are always true regarding the
diagram? Select three options.
Omz5 + mz3 = mz4
Omz3 + mz4 + mz5 = 180°
Dmz5 + mz6 =180°
Dm2 + mz3 = mz6
Omz2 + mz3 + mz5 = 180°

Answers

Answer:

Step-by-step explanation:

m∠5 +m∠6 = 180° ( the angles form a line)

m∠2 + m∠3 = m∠6 ( exterior angle is the sum of 2 not adjacent angles)

m∠2+m∠3+m∠5= 180° (sum of angles in a triangle is 180°)

If Paul works on Saturdays, he earns $8 per hour (h). plus a $15 bonus for working on the weekend. He wrote a
function, f(h) = 8h + 15 to help calculate how much he would earn working different numbers of hours next Saturday.
How much will Paul earn for working 6 hours and 8 hours?
A)$63, $78
$63, $78
B)$48, $64
$48. $64
C)$63, $79
$63, $79
D) $48, $79
$48, $79

Answers

Answer:

23

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Daria discovers a pattern in her homework assignment. X shows the missing digit in the pattern. The table shows 12, 84, 156, 228 and x. What is the possible answer for the last digit?
a. 276
b. 547
c. 300
d. 347
( whoever answers CORRECTLY first, WILL get brainliest and an additional +21 points)

Answers

Your answer would be C 300 your welcome

If I can read 54 pgs in 3 days, how many can I read in 1 day?






7 notebooks cost $21. How much for 5 notebooks?

Answers

Answer:

18 pages

$15

Step-by-step explanation:

54/3= 18

21/7= 3

3*5=15

Answer:

105

Step-by-step explanation:

Which statement about these triangles is true?

Answers

What triangle ? You did not put a picture

Five less than twice the value of a number is equal to three times the quantity of four more than one-half the number. What is the number?

Answers

Answer:

2x - 5 = (1/2)

 

4x - 10           [multiply by 2]

 x - 10 = -13                 [subtract 3x from both sides]

  x = -3                        [add 10 to both sides]

Step-by-step explanation:

The required number would be 34 which is determined by the phrase "five less than twice the value of a number is equal to three times the quantity of four more than one-half the number"

What is algebra?

Algebra is the analysis of mathematical representations, while logic is the manipulation of those symbols.

When broken down, these sorts of statements are not intimidating. First, consider "five less than twice the value of a number."

"Twice the value of a number" is simply 2x.

"Five less" is simply -5, so for the first part we have (2x-5)

Examine the second section next. "Three times four times more than one half the number."

"Three times the quantity" simply indicates "three times something."

4 + "one half the number" or 4 + (1/2)x is "the quantity of four more than one half the number."

So the second part is simply 3(4+x/2).

Finally, we complete the equation, (2x-5) = 3(4+x/2) and solve for x.

2x-5 = 12 + (3/2)x

2x-(3/2)x = 17

x/2 = 17

x = 34

Therefore, the required number would be 34.

To learn more about the Algebra link is given below.

brainly.com/question/953809

#SPJ2

PLEASE HELP I'LL GIVE YOU BRAINLIEST
Find the slope, or rate of change:

Answers

Answer:

C. 3/2

Step-by-step explanation:

slope:

Rise/run:

rise: 6

run: 4

6/4:

reduce = 3/2

If AABC = ADEF, which segment is congruent to AC?

Answers

Answer:

Segment DF

Step-by-step explanation:

The corresponding vertices are in the same order in both triangles.

ABC

DEF

Segment AC is congruent to segment DF.

In an experiment, the variable that is manipulated is called the?
Measurement variable
Explanatory variable
Response variable
Confounding variable

Answers

Response variable.....

Answer:

Explanatory Variable is the right answer it is the variaable being manipulated and observed.

Step-by-step explanation:

solve (x^2+3x-2)(x^2-2x+15)​

Answers

Answer: x^4 + x^3 + 7x^2 + 49x - 30

Step-by-step explanation:

first, we use the distributive property.

x^2 x (x^2 - 2x + 15) + 3x x (x^2 -2x + 15) - 2(x^2 - 2x + 15)

then, we remove the parenthesis.

x^4 - 2x^3 + 15x^2 + 3x^3 - 6x^2 + 45x - 2x^2 + 4x - 30

then, we collect like terms.

x^4 + x^3 + 7x^2 + 49x - 30

g(t) = 2t - 5; Find g(-9)

Answers

Answer:

g = -23

Step-by-step explanation:

I’ll mark you brainlist I’ll mark you brainlist I’ll mark you brainlist I’ll mark you brainlist

Answers

Answer:

j = 6

Step-by-step explanation:

-8j + 74 = 3j + 8

-8j - 3j = 8 - 74

-11j = -66

j = 6

12 + 3(8 + x)

But it can only be done like this e.x— 2(3 + 9x)= 6 + 18x
Help me

Answers

Answer:

I got uuu

I got 36+3x

u just gotta mutiply the 3 to both the 8 and x making 24+x then u put the 12 then I got the equation 24+x+12 then add like numbers so the only onea u got are 12 and 24 which make 36 and left with 3x so ur solution is 36+3x

Hola amiga me gusta mucho tu estilo... que tengas buen día

..............................................................................

Answers

Answer:

-5 ,3 ...

Step-by-step explanation:

thats all i can think of ..,..

21 is a supplement of 22, and mZ1 = 123°. Z2 is a complement of 23. Find m23.
O
mZ3 =

Answers

Measure of angle 3 should be 33! 180-123=57. Then 90-57=33

Jackson has to have his car repaired. The mechanic tells him it will cost $75 for each hour of labor plus the cost of the parts. He discovers that the parts cost $165.

Part A: Write an equation that can be used to determine the cost of the repairs for any hours of labor.

Part B: How much would the repairs be if it took 3 hours?

Part C: What is the meaning of the slope in Part A?

Part D: What is the meaning of the y-intercept in Part A?

Answers

Answer:

a  75x+165=y

b  75(3)+165=390

c   75x is the cost increasing for each hour

d  y-intercept=165, it cost at least 165 for the parts

Step-by-step explanation:

(-5,-3) (5,-4) slope =

Answers

Answer:

Your slope would be -1/10

Step-by-step explanation:

To find the slope from two points, you would use the formula y2-y1/x2-x1

In this case, the equation would look like -4-(-3)/5-(-5)

-4 - (-3) = -1

5 - (-5) = 10

-1/10 = -1/10

What is 5% of $40.00?

Answers

Answer:

$2

Step-by-step explanation:

40 x 0.05 = 2

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