The image point of A after a translation right 4 units and down 4 units is the point B(12, – 7). Determine the coordinates of the pre-image point A.

Answers

Answer 1

Answer:

            (8, –3)

Step-by-step explanation:

Translation right or left means change of the x-coordinate.  

Translation up or down means change of the y-coordinate.

Translation right or up means adding.

Translation left or down means  subtracting.

[tex]A=(x_A, y_A)\quad\rightarrow\quad B=(x_A+4,\,y_A-4)\\\\x_A+4=12\qquad\qquad y_A-4=-7\\\\x_A=12-4\qquad\qquad y_A=-7+4\\\\x_A=8\qquad\qquad\qquad y_A=-3\\\\A=(8,-3)[/tex]


Related Questions

A simple off bacteria is debating according to the half life model. If the simple begins with 800 bacteria, and after 18 minutes there is 240 bacteria, after how many minutes will there be 40 remaining

Answers

Answer:

After 43 minutes, the bacteria will be 40 remainings.

Step-by-step explanation:

Given that:

Initial population of bacteria [tex]A_o[/tex] = 800

After time (t) = 18 mins

A = 240

Using the model:

[tex]A = A_o e^{k*t}[/tex]

[tex]240=800 e^{k*18}[/tex]

[tex]\dfrac{240}{800}= e^{18k}[/tex]

[tex]0.3= e^{18k}[/tex]

By applying natural log on both sides, we get:

In(0,3) = 18k (In e)

- 1.20397 = 18 k * (1)

18 k = -1.20397

k =  -1.20397/ 18

k = - 0.06688

k ≅ -0.07

After time (t), the bacteria population (A) = 40

Now;

[tex]40 = 800 e^{k*t}[/tex]

[tex]\dfrac{40 }{800}= e^{-0.07*t}[/tex]

[tex]0.05= e^{-0.07*t}[/tex]

In (0.05) = -0.07t * In (e)

- 2.9957 = - 0.07t

t = - 2.9957/ -0.07

t = 42.795

t ≅ 43 minutes

Thus, after 43 minutes, the bacteria will be 40 remainings.

I need help will give crown

Answers

Answer:

$15 per hour and he worked 5 hours yesterday.

Step-by-step explanation:

Since we know that the number of hours he works and know how much he got paid we need to look for how much he makes each hour.

Set up the equation like this.

7x=105

Divide by 7 to isolate the x

x=15

That means he makes 15 dollars per hour. For the 2nd part, we are looking for how many hours he worked. We know that he gets 15 dollars per hour so we can set up the equation like this.

15x=75

Divide by 15 to isolate the x

x=5

That means he worked 5 hours yesterday.

P.S. give me crown

Answer:

 He worked approximately 4-5 hours because when he worked 7 hours a day he earned 105 dollars that means he made 15 dollars an hour so he only worked 4-5  hours that day and he made 75 dollars.  

Step-by-step explanation:

This is a short answer so u dont have to write that much.

Am I on the right track? Or am I doing something wrong?

Answers

It looks good to me

Please help! Solve for g

Answers

Answer:

g= - 32

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Flip the equation.

Step 3: Add 5 to both sides.

Step 4: Multiply both sides by 4/(-1).

g=−32

Answer:

g = -32

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Step-by-step explanation:

Step 1: Define Equation

3 = g/-4 - 5

Step 2: Solve for g

Add 5 to both sides:                    8 = g/-4Multiply -4 on both sides:            -32 = gRewrite:                                        g = -32

Step 3: Check

Plug in g into the original equation to verify it's a solution.

Substitute in g:                    3 = -32/-4 - 5Divide:                                  3 = 8 - 5Subtract:                              3 = 3

Here we see that 3 does indeed equal 3.

∴ g = -32 is the solution to the equation.

I need help with this question! Will mark brainliest :)

Answers

Answer:

hiii

your answer is option d

HOPE IT HELPS YOU OUT PLEASE MARK IT AS BRAINLIEST AND FOLLOW ME PROMISE YOU TO FOLLOW BACK ON BRAINLY.IN

answer: y= 20x+30

Step-by-step explanation:

it says they charge 20$ per hour and x is the amount of hours.

30$ is charged as the registration fee at the beginning only.

ANSWER RIGHT PLEASE AND ILL GIVE BRAILIEST

Answers

Answer:

C

Step-by-step explanation:

The +2 tells you where the 'y' will intersect... and it's gonna be positive 2, and only C has that so ye

Find the value of h(-67) for the function below.

h(x) = -49x − 125

A.
-3,408
B.
-1.18
C.
3,283
D.
3,158

Answers

Answer:

D. 3,158

Step-by-step explanation:

h(-67) means to plug the x in h(x)=-49x-125 into the function as -67

The function will then be:

h(-67)=-49(-67)-125

Multiply -49 and -67

h(-67)=3283-125

subtract

h(-67)=3158

so the answer is D

Hope this helps!  

Samuel orders four DVD's from an online music store. Each DVD costs $9.99. He has a 20% discount code and sales tax is 6.75%. What is the total cost of his order? Please helpppp

Answers

answer: $34.13

explanation:
4 • $9.99 = $39.96 before tax or discount

subtract discount:
$39.96 • 0.2 = $7.992
39.96-7.992 = 31.968

add tax:
31.968 • 1.0675
= $34.13

I need help with this question pls

Answers

Answer:

yes

Step-by-step explanation:

yes it is because if 6ounces is $2.10 and the more ounces you add the higher the cost

btw just copy/paste :P

What is the sum?
8+(-12)
-20
24
4
20

Answers

Answer:

-4

Step-by-step explanation:

adding a negative is the same as subtracting a positive

xoxo, your highness...

Answer: 24

8 + (-12) = -4

-4 + (-20) = -24

-24 + 24 = 0

0 + 4 = 4

20 + 4 = 24

A city has 5 new houses for every 9 old houses. If there are 35 new houses in the city, how many old houses are there?
A.
61
B.
65
C.
63
D.
68

Answers

Answer:

C.) 63

Step-by-step explanation:

You know what you insisted on me answering, so I'll answer here.

35 ÷ 5 = 7

7 x 9 = 63

35/5 = 7

7 * 9 = 63

Therefore, there are 63 (C) old houses in the city.

what is the slope of the graph of y=12x-19

Answers

Answer:

The slope is 12

Step-by-step explanation:

Remember the slope formula y=mx+b

m= the slope

b= y-intercept

What is 7(9n − 3) − 7n
In order please
simply

Answers

Answer:

n= 3/8

Step-by-step explanation:

63n -21 -7n

63n - 7n = 21

56n = 21

n=  3/8 or 0.375

Answer: 56n-21

Step-by-step explanation:

7(9n-3)-7n Multiply parenthesis

63n-21-7n

SUBTRACT 63n-7n- 56n

Answer is: 56n-21

We leave 21 alone because it is a constant. We leave 56n alone because there is no like term with the variable n.

A zoo has the ratio to zebras (1 giraffe for every 4 zebras) What percent of this grouping of animals are giraffes? What percent of this grouping are zebras?

Answers

Answer:

20% of the animals are giraffes

80% of the animals are zebras

=====================================

Explanation:

Let's say there are 5 animals. This would mean there's 1 giraffe and 4 zebras, since we have four zebras per giraffe.

The percentage of giraffes is 1/5 = 0.20 = 20%

and the percentage of zebras is 4/5 = 0.80 = 80%

The requried percentage of giraffes is 20% and the percentage of Zebras is 80%.

What is the Ratio?

The ratio can be defined as the proportion of the fraction of one quantity towards others. e.g.- water in milk.

What are percentages?

the percentage is the ratio of the composition of matter to the overall composition of matter multiplied by 100.

Here,

A zoo has the ratio to zebras (1 giraffe for every 4 zebras)
The total proportion of the zebras and giraffes = 5,
Percentage of giraffe = 1 / 5 × 100% = 20%
Percentage of zebras = 4 / 5 × 100% = 80%

Thus, the requried percentage of giraffes is 20% and the percentage of Zebras is 80%.

Learn more about percentages here:

brainly.com/question/13450942

#SPJ5

if L is parallel to M, find the value of each variable(s)

Answers

Answer:

see below

Step-by-step explanation:

5.  9x + 2 = 119°                    alternate interior angles are congruent

          9x = 117

           x = 13°

6.  12x - 8 + 104° = 180°       same side interior angles are supplementary

            12x + 96 = 180

                     12x = 84

                        x = 7°

7.  5x + 7 = 8x - 71                alternate exterior angles are congruent

         -3x = -78

            x = 26°

8.  4x - 7 = 7x - 61                corresponding angles are congruent

        -3x = -54

          x = 18°

9.  9x + 25 = 13x - 19          corresponding angles are congruent

            -4x = -44

               x = 11°

    13x - 19 + 17y + 5 = 180°        straight line adds up to 180°

    13(11) - 19 + 17y + 5 = 180

       143 - 19 + 17y + 5 = 180

                    17y + 129 = 180

                              17y = 51

                                  y = 3°

10.  6x - 7 + 3x - 29 = 180°     same side interior angles are supplementary

                   9x - 36 = 180

                           9x = 216

                             x = 24°

     6x - 7 = 8y + 17                   vertical angles are congruent

      6(24) - 7 = 8y + 17

         144 - 7 = 8y + 17

               137 = 8y + 17

               120 = 8y

                  y = 15°

11.  49 + 3x = 7x - 23                corresponding angles are congruent

            -4x = -72

               x = 18°

 

      3x = 11y - 1                         corresponding angles are congruent

      3(18) = 11y - 1      

          54 = 11y - 1

          55 = 11y

            y = 5°

12.  5x - 38 = 3x - 4                alternate interior angles are congruent

             2x = 34

               x = 17°

 

      7y - 20 + 5x - 38 + 90 = 180°        sum of triangle interior angle equals 180

      7y - 20 + 5(17) - 38 + 90 = 180°      

      7y - 20 + 85 - 38 + 90 = 180°    

                              7y + 117 = 180

                                      7y = 63

                                       y = 9°

Isosceles triangle MNis shown below with MN ~= PN. Ray NQ bisects angle MNP and intersects side MP at point Q. Name three pairs of congruent angles

Answers

Answer:

The answer is below

Step-by-step explanation:

A triangle is a polygon with three sides and three angles. Types of triangles are  obtuse, scalene, equilateral, isosceles etc.

An isosceles triangle is a triangle with two equal sides, the base angles of an isosceles triangle is equal.

Since ΔMNP is an isosceles triangle with MN = PN, then:

∠QMN = ∠QPN (base angles of an isosceles triangle are equal)

∠MNQ = ∠PNQ (NQ bisects ∠MNP producing two equal angles)

∠MQN = ∠PQN (right angles)

12. A local school activity bus travels North to Denton to take students on a tour of the University of North Texas. The trip from the school to Denton is 66 kilometers. The bus travels for 56 minutes before it arrives at the UNT campus. Which of the following best represents the speed of the bus for this campus visit trip?​

Answers

Your answer is... 1.2 km/hr

Tell whether the lines through the given points are parallel, perpendicular, or neither.

Line 1: A(3,6) B(11,10)
Line 2: C(-4, 2) D(6, 16)

Parallel, Perpendicular, or Neither:

Answers

Answer:

Line 1 : A. Neither B. Parallel__________ Line 2: A. Perpendicular B. Parallel

Step-by-step explanation:

Sorry this was hard to make a picture of it in my head. *Exhausted face* ._.

What value does the digit 3 represent after 2,734 is multiplied by 1,000?​

Answers

I think it is 2730004 because the three is in the 10th place so it would actually be 30 so 30x1000 is 30,000 and the 2,7and,4 wouldn’t move you would just have to add 3 zeros because the 4 takes the place of we’re the last 0 would be. Hopefully that’s not confusing. Hope this helps!

Answer:30,000

Step-by-step explanation:

Translate the phrase into an algebraic expression. The product of 4 and y​

Answers

Answer:

4y=x

Step-by-step explanation:

Giving brainless don’t comment if u don’t know I’ll report you.

Answers

Answer:

Greater than 10 but less than 100.

Step-by-step explanation:

So 300% of 6 is 18.

10<18

18<100

Hope this helps <3

Find the missing quantity in the double number line.

Answers

Answer: 7

Step-by-step explanation:

just use a comparison

3/12 = x/28

1/4 = x/28

x = 7

Answer:

szxdcfgvhbjnk

Step-by-step explanation:

Help I will make you a brainlist!!

Answers

Y = -1/2x + 7/2
The fourth response is correct

whats the geometric mean of 1/2 and 8

Answers

Answer:

4

Step-by-step explanation:

1/2 of 8 is 4

Answer is 2. Geometric mean takes the n-th root of the product of the values. So 1/2*8=4, and since there are two numbers, you take the 1/2 root or square root.

So the answer is the square root of 4 which is 2.

Please give an answer this question is worth 20 points on my test

Find the equation for each line.

Answers

Line l: y=4
Line n:y=x-4
Line p: x=-4
Line m: y=4-2x

Hope this helped!

If it takes 5 gallons of gas to drive 125 miles, how many miles can be driven using 8 gallons of gas? (GIVE ONLY NUMERICAL ANSWER)

Answers

(ANSWER - 200) (EXPLANATION - we know 125 miles is 5 gallons. divide 125 by 5, you get 25 miles per gallon. 25 times 8 is 200!)

Lamar is considering two loans.


Loan A
Loan B
Principal
$4,500
$4,300
Interest rate
5%
6%
Time in years
3
3

Which loan will have the lowest total payback?
Loan A will have the lowest total payback because the amount of interest paid is less than the amount of interest paid for loan B.
Loan A will have the lowest total payback because the total of the principal and the interest paid for loan A is less than the same total for loan B.
Loan B will have the lowest total payback because the interest is less than the interest for loan A.
Loan B will have the lowest total payback because the total of the principal and the interest paid for loan B is less than the same total for loan A.

Answers

Answer:

4

Step-by-step explanation:

Answer:

d

Step-by-step explanation:

Which of the tables represents a function?


Table A
Input Output
5 3
5 2
4 1
Table B
Input Output
1 2
3 2
5 3
Table C
Input Output
0 0
1 2
1 3
Table D
Input Output
4 2
4 3
4 4








Table A
Table B
Table C
Table D

Answers

Answer:

table b i think

Step-by-step explanation:

When are two lines parallel?

A. when the slopes are positive
B. when the slopes are equal
C. when the slopes are opposite
D. when the product of the slopes is –1

Answers

Answer:

B

Step-by-step explanation:

B when slopes are equal

Can u guys PLEASE ANSWER this question 2 ASAP

Answers

Answer:

Sorry but where's the question

Step-by-step explanation:

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