The image of the point (2, -1) under a translation is (4,2). Find the coordinates of the image of the point (-2,9) under the same translation.

Answers

Answer 1

Answer:

The coordinates of the image of the point (6,6) under the same  translation is: (9, 2)

Hence, option C is correct.

Step-by-step explanation:

The image of the point (2, 1) under a translation is (5, -3).

It means when we horizontally move 3 units to the RIGHT i.e. adding 3 units to the x-coordinate and vertically move 4 units DOWN i.e. subtracting 4 units from the y-coordinate of the original point (2, 1), we get the coordinates of the image (5, -3).

Thus,

The rule of translation can be formulated such as:

(x, y) → (x + 3, y - 4)

(2, 1) → (2 + 3, 1 - 4) → (5, -3)

Thus,

Under the same rule of translation, we can determine the coordinates of the image of the point (6,6):

(x, y) → (x + 3, y - 4)

(6, 6) → (6 + 3, 6 - 4) → (9, 2)

Therefore, the coordinates of the image of the point (6,6) under the same  translation is: (9, 2)

Hence, option C is correct.


Related Questions

find the area of (ABCD) GIVEN: A(2,1) B(4,1) C(-4,1) D(-1,-3)​

Answers

Answer:

16

Step-by-step explanation:

HELP HELP HELP PLS PLS IM CONFUSED

Answers

Answer:

y=19 z=19

Step-by-step explanation:

45 45 90 triangles are this: sides=hyp/sqrt(2)

mathXL lol

A shop sells party hats and masks. On a particular morning, 10 hats and 20 masks were sold for $30. In the afternoon, 8 hats and 10 masks were sold for $18. Find the cost of each hat and each mask.

Answers

Answer:

Both the hat and mask cost $1

Step-by-step explanation:

Let the cost of each hat is x and each mask is y.

According to the question, set the equations:

10x + 20y = 308x + 10y = 18

Double the second equation and subtract the first one:

8x*2 + 10y*2 - 10x - 20y = 18*2 - 3016x - 10x = 36 - 306x = 6x = 1

Find the value of y:

10*1 + 20y = 3020y = 30 - 1020y = 20y = 1
hats be h and masks be m

Equations are

10h+20m=30=>h+2m=3--(1)8h+10y=18=>4h+5m=9--(2)

Eq(1)×4

[tex]\\ \tt\hookrightarrow 4h+8m=12\dots(3)[/tex]

Subtract (3) and (2)

[tex]\\ \tt\hookrightarrow 3m=3[/tex]

[tex]\\ \tt\hookrightarrow m=1[/tex]

Put in eq(1)

[tex]\\ \tt\hookrightarrow h+2=3[/tex]

[tex]\\ \tt\hookrightarrow h=1[/tex]

36. A refrigerator was sold for GH¢200.00 at
a loss of 10 %. Find the cost price.

Answers

well, the original price was "x", which is of course the 100%, the new price is 10% less than that, or namely 90% of that original and we know is 200 bucks.

[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} x&100\\ 200&90 \end{array}\implies \cfrac{x}{200}=\cfrac{100}{90}\implies \cfrac{x}{200}=\cfrac{10}{9} \\\\\\ 9x=2000\implies x=\cfrac{2000}{9}\implies x=222.\overline{2}[/tex]

Twelve new students are standing in a line. How many different ways can the first seven students in line order themselves

Answers

Answer:

Step-by-step explanation:

hope this helps!

There are 5,040 different ways that the first seven students in line can be ordered.

What is an arrangement?

An arrangement is a permutation of a set of objects in mathematics where the order of the things is important. An arrangement is specifically an orderly succession of unique elements drawn from a set.

Consider the set "A, B, C," for instance. This set can be arranged in six different ways: ABC, ACB, BAC, BCA, CAB, and CBA. The three components of the set are stated in a precise order in each of these configurations.

The number of ways that 7 students can be arranged in a line is 7! (7 factorial) which is equal to:

7! = 7 x 6 x 5 x 4 x 3 x 2 x 1 = 5,040

Therefore, there are 5,040 different ways that the first seven students in line can be ordered.

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please help!!!!! :( i have 22 questions left :(.
(19 if yall answer these 3)

Answers

Answer:

Step-by-step explanation:

1)

there are 16 coins total.

10/16 chance to choose a dime

1/15 chance to choose a penny

1/24 answer is D

2)12/36*78

26 B

3) around 4/32 of buttons are orange.

multiply by 64

8 answer is B

Solve. (15 points!! or 20, if you find that more reasonable. ;P )

Answers

Answer:

slopes are correct for both the lines, but not the y-intercepts.

Step-by-step explanation:

slopes are correct for both the lines, but not the y-intercepts

The [tex]-x+2y=1[/tex] line has been correctly drawn.

The [tex]-2x - 3y=-12[/tex] has the correct slope but the wrong y-intercept.  The y-intercept should be 4

Grace takes out a loan of $9,573.00 at a 4% simple rate for 4 years. a) How much interest will be paid after 2 years? b) How much total interest will be paid for this loan?​

Answers

The interest to be paid after 2 years is $765.84

The total interest to be paid after 4 years is  $1531.68

What is the simple interest?

Simple interest rate is the interest that is paid only on the principal portion of a loan. This means that the debtor does not pays interest on the interest rate already accrued.

Simple interest = principal x time x interest rate

$9573 x 2 x 0,04 =$765.84

$9573 x 4 x 0,04 = $1531.68

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Examine this graph representing US unemployment rates. Which of these years might economists consider a trough? 1980 1982 1983 1985.

Answers

Graphs can represent a function, table and ordered pairs

The year that economists might consider a trough is 1982

How to determine the trough year

From the graph, we have the following parameters:

1980 = 7%1981 = 9%,1982 = 11%1983 = 8%1984 = 7%2985 = 7%

In this case, the year that can be considered a trough is the year when the rate of unemployment is at highest (i.e. 11% in 1982)

Hence, the year that economists might consider a trough is 1982

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Answer:

1982

Step-by-step explanation:

edge

Evaluate:
64.2 divid –7.5
A. –11.68
B. –8.56
C. 8.56
D. 11.68

Answers

Your Answer Should Be.... B

Answer:

B

Step-by-step explanation:

-8.56 = 64.2 divided  7.5

Rae wants to poll the students in her school to find out their favorite subject.

The school has 600 students.


Choose the statement below that describes the best way for Rae to survey the students in her school without asking all 600 of them.

Answers

Answer: It is B

Rae will ask 75 randomb students in her school

Step-by-step explanation:

honestly I just guessed, and got it right

someone pls help asap i’m very desperate! thanks!!

Answers

Answer:

A: $250B: $600, earns more interest

Step-by-step explanation:

The simple interest formula is ...

  I = Prt . . . . . r is the interest rate, t is the number of years

Solving for P, we have ...

  P = I/(rt)

Account A

6 months is 1/2 year, so the principal is ...

  P = $4.38/(0.035×1/2) = $250.2857...

Rounded to the nearest dollar, the principal invested is $250.

__

Account B

Using the same approach, for 18 months, t = 18/12 = 3/2 = 1.5.

  P = $20.70/(0.023×1.5) = $600

The principal in Account B is $600.

__

First Month's Interest

Using the interest formula, the first month's interest in each account is ...

  A: I = 250×0.035×1/12 = $0.73

  B: I = 600×0.023×1/12 = $1.15

Account B earns more interest in the first month.

question is in the attachment!
(sorry if it's really blurry, I was kinda in a rush!)​

Answers

Answer:

5pt=2cups

1qt.=2pt

Step-by-step explanation:

I hope that's right

Help please! its worth 100 points! Please no links or files

Answers

Answer:

8

Step-by-step explanation:

so basically we do

2³ = 8

2x2=4 4x2=8

A car dealership increased the price of a certain car by 3%. The original price was $31,800.

Answers

The answer is 30 because if u add a 0

Consider the line y = x+8.
What is the slope of a line parallel to this line?
What is the slope of a line perpendicular to this line?

Answers

Answer: parallel is 1 and perpendicular is -1

Step-by-step explanation:

parallel lines have the same slope and perpendicular have the opposite and negative of the slope.

Allen’s phone company charges him $20 a month and $5 per gig of data used. His bill last month was $55. Write an equation to represent this relationship.

Answers

Answer:

x (constant) = 20 ((month)) y (variable) = 5 ((gig of data))

Step-by-step explanation:

20x+5y=55 (7 gigs)

this may sound like an easy question to some people but which fraction is 11/10 or 7/8 is greater than 1

Answers

Answer:

11/10 is greater than 1

Step-by-step explanation:

For reference, 10/10 = 1, 8/8 = 1. So when looking at these:

11/10 is 1 and 1/10

7/8 is less than 1

(01.03. 106, 1.08 HC)
for X 31
3*+1-2
A piecewise function f(x) is defined by f(x) = { –X? + x + 2
x2 – 3x+2
for x>1
x>
Part A Graph the piecewise function () and determine the range (5 points)
Part B. Determine the asymptotes of f(x). Show all necessary calculations. (5 points)
Part C. Describe the end behavior of f(x). (5 points)

Answers

Answer:

  A) see attached for a graph. Range: (-∞, 7]

  B) asymptotes: x = 1, y = -2, y = -1

  C) (x → -∞, y → -2), (x → ∞, y → -1)

Step-by-step explanation:

Part A

A graphing calculator is useful for graphing the function. We note that the part for x > 1 can be simplified:

  [tex]\dfrac{-x^2+x+2}{x^2-3x+2}=-\dfrac{(x-2)(x+1)}{(x-2)(x-1)}=-\dfrac{x+1}{x-1}\quad x\ne 2[/tex]

This has a vertical asymptote at x=1, and a hole at x=2.

The function for x ≤ 1 is an ordinary exponential function, shifted left 1 unit and down 2 units. Its maximum value of 3^-2 = 7 is found at x=1.

The graph is attached.

The range of the function is (-∞, 7].

__

Part B

As we mentioned in Part A, there is a vertical asymptote at x = 1. This is where the denominator (x-1) is zero.

The exponential function has a horizontal asymptote of y = -2; the rational function has a horizontal asymptote of y = (-x/x) = -1. The horizontal asymptote of the exponential would ordinarily be y=0, but this function has been translated down 2 units.

__

Part C

The end behavior is defined by the horizontal asymptotes:

  for x → -∞, y → -2

  for x → ∞, y → -1

The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer. How much will you pay for a journey of 20 kilometers?

Answers

$11.5 fixed
20k * $5 = $100
$100 + 11.5 = 111.5

She will pay for a journey of 20 kilometers.

We have given that,

The fixed price of a taxi journey costs $11.50 plus $5 per traveled kilometer.

We have to determine How much will you pay for a journey of 20 kilometers.

We have $11.5 fixed.

We have to determine for 20km we have to pay.

What is the equation for 20km traveled?

20k * $5 = $100

$100 + 11.5 = 111.5

Therefore she will pay for a journey of 20 kilometers.

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what is the maximum of P= x +6y

Answers

P= 9

Step-by-step explanation:

y = (10 - 2x) / 4

y = (12 - x) / 9

Find Boundary Points:

(0,0)

(3,1)

(0,4/3)

(5,0)

Plug them into equation (DO NOT NEED (0,0) DO NOT USE):

P = 3 + 6(1) = 9

P = 0 + 6(4/3) = 8

P = 5 + 6(0) = 5

MAX VALUE: P = 9

Right answer gets BRAINYESST

Answers

Answer:

check all below

Step-by-step explanation:

#1

1/6)^3

1/26 so answer 1 on number one

#2 what the heck is this 65+75= 140 not 120

65/120 = 54.16666% * 12600 = 6825 so 3

or 65/140 = 46.428% * 12600 = 5850

#3 number 4 makes the most since sense you get the WHOLE POPULATION

#4 1/5*1/2 or 1/10 = .10 * 100% = 10% or 3

#5

6+2+8+4 = 20

2 red marbles

2/20 = 1/10 = .10 * 100% = 10% or 2

Jamar just got hired for a new job and will make $ 48 , 000 $48,000 in his first year. Jamar was told that he can expect to get raises of $ 3 , 500 $3,500 every year going forward. How much money in salary would Jamar make in his 18th year working at this job?

Answers

The amount of money Jamar will make in his 18th year working at this job is = $107,500

Calculation of yearly salary outcome

The amount of money Jamar made in his first year= $48,000

The salary rise per year = $3,500

The amount of money he will make for the extra 17 years is = 17 × $3,500

= $59,500

Therefore the amount he will receive as his salary in the 18th year working at this job = $48,000 + $59,500

= $107,500

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Solve for x in the equation 3x2 - 18x+5=47.

Answers

Answer:

[tex]x=3\pm\sqrt{23}[/tex]

Step-by-step explanation:

Complete the Square

[tex]3x^2-18x+5=47\\\\3x^2-18x-42=0\\\\x^2-6x-14=0\\\\x^2-6x-14+23=0+23\\\\x^2-6x+9=23\\\\(x-3)^2=23\\\\x-3=\pm\sqrt{23}\\\\x=3\pm\sqrt{23}[/tex]

Evaluate:10-(6-4)^2divided by 2HURRY PLEASE!

Answers

Answer:

8

Step-by-step explanation:

10 - (2)
8 x 2? = 16
16 / 2 = 8

srry if its the answer u did not want ;-;

show through prime factorising that 899 is not a prime number

Answers

For 899, the answer is: No, 899 is not a prime number.

The list of all positive divisors (i.e., the list of all integers that divide 899) is as follows: 1, 29, 31, 899.

Please answer this right and if you do I’ll give brainly

Answers

Answer :

92

92 bc you’d get 92.16 but round down

Find the total ares of the entire firgure. *

Answers

Answer:

Area of entire fig=Area of rectangle+Area of triangle

let the length be x and breadth be y and h be the height of the triangle

therefore ,

breadth=base

[tex]x \times y + \frac{1}{2} x \times h[/tex]

ad the values to find the answer

tip:the answer is

[tex] {864in}^{2} [/tex]

13) A cell phone plan cost $200 to start. Then there is a $50 charge each month. What is the total cost for x months? (Hint: Write the expression needing to find the total cost)​

Answers

Answer:

50x + 200

Step-by-step explanation:

50 dollars each month (for x months) is 50x, and the initial cost is 200 (flat fee) which means that the expression is 50x+200

Answer:

50x+200

Step-by-step explanation:

Our constant term is the 200, because it's the upfront charge. Our coefficient is going to be 50, because 50 dollars are being charged each month.

Carlene is selling T-shirts for a fundraiser. The T-shirts cost $20.50 each. To date, she has raised $900. Her goal is to raise more than $9,100. How many more T-shirts, x, does Carlene need to sell to reach her goal?

Answers

Answer:

the answer would be 400.

Step-by-step explanation:

9,100 - 900 = 8,200

she would need to raise 8,200 more. to know many shirts tho, we need to divide by the cost

8,200 divided by 20.50 is 400.

400 shirts.

If I'm wrong, let me know, please.

Answer:

x=400

Step-by-step explanation:

Already sold: 900/20.50=43

Needs to sell altogether:443

Needs to sell minus already sold: 443-43=400

She needs to sell 400 more shirts.

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