The image point of A after a translation left 3 units and down 1 unit is the point
B(-8, -2). Determine the coordinates of the pre-image point A.

Answers

Answer 1

Answer:

b

Step-by-step explanation:

There is no answer or document

Answer 2

The coordinates of the pre-image of point A are (-5, -1).

What is the difference between upward, downward, leftwards and rightwards translation?

Upward translation = [k] units

When the upward translation take's place then, each point will have its y - coordinate shifted upwards by +k units.

Downward translation = [k] units

When the downward translation will take place then, each point will have its y - coordinate shifted downwards by -k units.

Leftward Translation = [k] units

When the leftward translation will take place then, each point will have its x - coordinate shifted by -k units to the left.

Rightward Translation = [k] units

When the rightward translation will take place then, each point will have its x - coordinate shifted by +k units to the right

We have the image of point [A] after a translation left by 3 units and down by 1 unit is the point B(-8, -2).

Assume that the original coordinates are -

(x, y)

Then, we can write -

(x - 3, y - 1) = (-8, -2)

x - 3 = - 8

y - 1 = -2

x = - 5

y = - 1

Therefore, the coordinates of the pre-image of point A are (-5, -1).

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Related Questions

14x-10=3 (4+x); solve for x

Answers

Answer:

x = 2

Step-by-step explanation:

So we are given the equation 14x - 10 = 3(4 + x) and we are asked to solve for x. To this, we will have to get x by itself on one side and a value on the other side.

14x - 10 = 3(4 + x)

Distribute the 3 on the right side.

14x - 10 = 12 + 3x

Add 10 to both sides.

14x = 22 + 3x

Subtract 3x from both sides.

11x = 22

Divide both sides by 11.

x = 2

So now we got the answer of x = 2.

I hope you find my answer helpful.

Answer:

x = 2

Step-by-step explanation:

14x - 10 = 3(4+x)

=> 14x -10 = 12 + 3x

=> 14x - 3x = 12 + 10

=> 11x = 22

=> x = 22/11

=> x = 2

Explain why the function is discontinuous at the given number

Answers

Answer:

  left limit = 2 ≠ 1/2 = right limit

Step-by-step explanation:

A function is discontinuous if the limit of the function value approaching the point from the left is different than the limit approaching from the right.

Here, the left limit is 2 and the right limit is 1/2. The limits are different, which is why the function is discontinuous at x=-1.

3) There are 35 people living in poverty and 42 people not living in poverty

1) John says that the ratio of people living in poverty to the people not living in poverty is 5:7. Explain why John is or is not correct. Use a diagram to support your answer.

Answers

Answer:

John is not correct

Step-by-step explanation:

(Unless you meant 5:6)

Make the base question into [tex]\frac{35}{42}[/tex]

simplify as much as possible. I found the Greatest Common Denominator (GCF) of 35 and 42, which was 7

divide 35 and 42 by the GCF (7), and you should get 5:6 as your answer.

Write the sentence as an inequality. Three times a number r plus 8 is fewer than −12

Answers

Answer: [tex]3r+8<-12[/tex].

Step-by-step explanation:

It is given that three times a number r plus 8 is fewer than −12.

We need to write the sentence as an inequality.

Three times a number r = 3r

Times a number r plus 8 = 3r+8

Fewer than = less than = <

So, the inequality for the sentence "three times a number r plus 8 is fewer than −12" is

[tex]3r+8<-12[/tex]

Therefore, the required inequality is [tex]3r+8<-12[/tex].

The inequality that describes the sentence is:

[tex]3r + 8 < -12[/tex]

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

3 times 1 is [tex]3 \times 1 = 3[/tex], 3 times 2 is [tex]3 \times 2 = 6[/tex], and so on, thus 3 times a number r is [tex]3 \times r = 3r[/tex].The plus word means that we have an addition operation, plus 8, thus [tex]3r + 8[/tex]Fewer than -12 means that the less than -12 completes the inequality, thus:

[tex]3r + 8 < -12[/tex]

Which is the inequality that describes this situation.

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emily created the net worth statement shown. Based on the Information in the table, what is emilys net worth ?​

Answers

Answer:

the answer is B

Step-by-step explanation:

net worth is liabilities minus assets

The answer to this question is B

If (8^9)p=8^18,what is the value of p? 20 points

Answers

Answer :

[tex]:\implies\sf\:(8^9)^p=8^{18}[/tex]

[tex]\dag\bf\:(a^m)^n=a^{mn}[/tex]

[tex]:\implies\sf8^{9p}=8^{18}[/tex]

[tex]\dag\bf\:18=9\times 2[/tex]

[tex]:\implies\sf\:8^{9p}=8^{9\times 2}[/tex]

[tex]\dag\bf\:a^x=a^y\:\longrightarrow\:x=y[/tex]

[tex]:\implies\sf\:9p=9\times 2[/tex]

[tex]:\implies\boxed{\bf{\red{p=2}}}[/tex]

If n(x)=4x-7, m(x) must be equal to which expression?

Answers

Step-by-step explanation:

the question is not understood plz clarify it

Answer:is 2 over 4|/x

Step-by-step explanation:

In each sack, there are 10 bags. In each bag, there are 5 pouches. Which number completes the equation that relates p, the number of pouches, and s, the number of sacks?

Answers

Answer: p = 50 s

Step-by-step explanation:

Given: In each sack, there are 10 bags. In each bag, there are 5 pouches.

i.e. Total pouches in each sack = (Number of bags in each sack) x (Number of pouches in each each bag)

= 10 x 10 =50

Let p =  number of pouches, and s= the number of sacks

Then, Number of p pouches in s sacks will be given by-

p = 50 s , which is the required equation.

Plss help will give brainliest

Answers

(-4,-2) is an Invalid pout and each component of the different quotient separately and plug the components into the difference quotient formula .

For a triangle, m<1 =75 and m<3 =40 what does m<2 =?​

Answers

Answer:

m<2 = 65

Step-by-step explanation:

The measures of angles 1 and 3 should be added together resulting in 115 degrees, and all triangles equal 180 degrees. Therefore, to find m<2, you have to subtract 115 from 180 resulting in a measure of 65 degrees.

When you add a positive and negative number, how can you tell whether the sum will be positive or Negative? ​

Answers

Answer:

just remember this:

negative x negative = positive

positive x positive = positive

postive x negative = negative

negative x postive= negative

lookon bbcbitesize for adding negatives and positive rule

use suitable Identities and find
●( X - 5 ) ( x-5 )
●( 3x +2 ) (3x -2 )
●( 1+x )(1+x) ​

Answers

Answer:

[tex].[/tex]

Step-by-step explanation:

IdEnTiTy UsED

[tex] {x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

1)

[tex](x - 5)(x - 5)[/tex]

=(x-5)²

2)

[tex](3x - 2)(3x + 2)[/tex]

[tex] {(3 x)}^{2} - {(2)}^{2} [/tex]

[tex] = 9 {x}^{2} - 4[/tex]

3)

[tex](1+x)(1+x)[/tex]

= (1+x)²

Seven more than twice a number is 17

Answers

Answer:

2x + 7 = 17 using algebra equation you can resolve ir

Himari is solving the equation 4( x - 3 ) =16. Her first step is 4x - 12 = 16 math nation

Answers

Steps to solve:

4(x - 3) = 16

~Distribute left side

4x - 12 = 16

~Add 12 to both sides

4x = 28

~Divide 4 to both sides

x = 7

Best of Luck!

Apples cost $2 per pound. Write an equation to represent how many pounds of apples you can buy for $20 ​

Answers

Answer:

10

Step-by-step explanation:

20/2=10

Answer:

10

Step-by-step explanation:

20÷2=10

twenty divided by two is ten

One number is 3 times a first number. A third number is 100 more than the first number. If the sum of the three numbers is 510, find the numbers

Answers

Answer:

82

Step-by-step explanation:

solve a + (3a) + (a + 100)=510

Convert 5 and 2/7 into a improper fraction.

Answers

Answer:

14 divide 5 =3.1 is your answer if I'm not wrong

Answer:

37/7

Step-by-step explanation:

First you multiply 5 by the denominator which is 7 which will equal to 35 and then you add the numerator which is 2 to that and you get 37/7

Solve the equation for X
4=6/ax+5

Answers

Answer:

x - 4 = 10 Solution.

2x - 4 = 10 Solution.

5x - 6 = 3x - 8 Solution

2(3x - 7) + 4 (3 x + 2) = 6 (5 x + 9 ) + 3 Solution.

Solution.

Step-by-step explanation:

The value of x in the given expression is -a/6

What is expression?

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Given is an expression, 4 = 6x / a + 5

Solving for x, we get,

4 = 6x / a + 5

Subtracting 5 both the side,

6x / a = -1

Multiplying by a both the sides,

6x = -a

Dividing by 6 both sides,

x = -a/6

Hence, the value of x is -a/6

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100 pts, Easy question: 2 + (-4)

Answers

Answer:

2 + (-4) equals -2

Answer:

-2

Step-by-step explanation:

A positive number plus a negative number equals another negative number

pls help asap!! Thank you! :D

Answers

the first blank is 10. second blank is 7. third blank is 63.

What conclusion can be drawn by observing that 20 is to the right of 10 on a number line?

Answers

That 10 is a smaller number then 20

Pete ate 3/7 of a pizza if Pete ate 9 slides of the pizza how many slices were ther all together

Answers

Answer:

21 slices

Step-by-step explanation:

given:

3/7 of a pizza ----> represents 9 slices

hence,

1/7 of a pizza -------> represents 9/3 = 3 slices

therefore

a whole pizza

= 7/7 of a pizza -------> represents 3 x 7 = 21 slices

Answer:

Hi there!!

Your answer is:

21 slices

Step-by-step explanation:

3/7ths = 9 slices

× 7/3

1 whole pizza = 21 slices

This is called the multiplicative inverse! 3/7 × 7/3 = 1

Hope this helps!

The PTA has 25 members. Each member must pay $5.50 in membership dues. In the first week of school, 11 members paid their dues. The remaining members paid during the second week. How much money was collected in dues during the second week of school?​

Answers

Answer:

$77.00

Step-by-step explanation:

25-11= 14

14 x 5.50= 77

What is the value of 32 x 107 in scientific notation?
1.6x 1014
?
0.5x 102
05.0x10
5.0 x 10
%
0.5x 107

Answers

Answer:

32x107=3424=3,424*[tex]10^{3}[/tex]

Step-by-step explanation:

point e is the midpoint of segment DF.if de is 8 what is the length of df​

Answers

16

If e is the midpoint than that means it is in the middle so if there is 8 on one side than there is 8 on the other side as well.

Therefore 8 (DE) + 8 (EF) = 16 (DF)

Alice’s school has purchased a new $10,000 copier. The copier depreciates in value by 15% every year. The principal will replace the copier when it drops below 10% of its original value.
The inequality 10,000()t < can be used to represent the situation.
The solution set for the inequality is (, ∞).

Answers

Answer:

The inequality 10,000 (0.85)^t < (1,000) can be used to represent the situation.

The solution set for the inequality is (14.168)

Answers: 0.85, 1,000, 14.168

The solution set for the inequality is (15, ∞).

What is depreciation?

The monetary value of an asset decreases over time due to use, wear and tear or obsolescence. This decrease is measured as depreciation.

What is compound interest for depreciation?

If the reduced value of the goods is compounded for fixed time then it is called compound depreciation.

Formula of compound interest for depreciation:

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

Where,

A= Final Amount

P = initial Principal

n = time in years

r = rate per annum

According to the question

New copier costs (p)  = $10,000

depreciates in value every year (r) =  15%

The principal will replace the copier when it drops below 10% of its original value.

i.e  Final amount should be less than [tex]$10,000 * \frac{10}{100}[/tex]  

A is < $ 1000

Using compound interest formula :

[tex]A = P(1-\frac{r}{100} )^{n}[/tex]

[tex]1000 > 10000(1-\frac{15}{100} )^{n}[/tex]

[tex]0.1 > (0.85 )^{n}[/tex]

n ≈ 14.168

n = after 15years (next whole no)

Hence , The solution set for the inequality is (15, ∞).

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Mrs. Bell has an interest rate of 4.175% on her house. Mr. Bentley has an interest rate of 4.25% on his house. Which explains who has the lower interest rate?

A.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 0 thousandths is less than 5 thousandths.

B.
Mr. Bentley has the lower interest rate, because both decimals have a 4 in the ones place, and 5 hundredths is less than 7 hundredths.

C.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 7 hundredths is less than 5 hundredths.

D.
Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 tenth is less than 2 tenths.

Answers

Answer: D. Mrs. Bell has the lower interest rate, because both decimals have a 4 in the ones place, and 1 the third is less than 2 tenths.

Answer:

D

Step-by-step explanation:

What is the solution set for the inequality Negative one-fourthx2(x – 4)(x +5) ≤ 13?

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Which information do you know is true from the diagram? Check all that apply.

∠ABD is a right angle.
Ray B C bisects angle ∠ABD.
m∠ABC = 45°
m∠CBD = 45°
m∠ABD = 90°

Answers

Answer:

a and e

Step-by-step explanation:

All the given option are true.

m∠ABC = 45° (true)

m∠CBD = 45° (true)

m∠ABD = 90° (true)

What is angle bisector ?

angle bisector is the line which divides the given angle into two equal parts.

Here, it is given that the angle [tex]\angle ABD[/tex] is a right angle triangle that is it will make an angle of 90 degree and the angle bisrector BC will divide the angle into two equal part that is  [tex]\angle ABC = \angle BCD = 45^{o}[/tex].

Therefore, all the given conditions are true.

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8x+9-4x=25. I for real need help

Answers

8x+9-4x=25
4x+9=25
4x+9-9=25-9
4x=16
4x/4=16/4
X=4

Answer:

x=4

Step-by-step explanation:

8x+9-4x=25

8x-4x=4x (combined like terms)

4x+9=25

4x+9-9=25-9 (subtract 9 from both sides)

4x=16

4x/4=16/4

x=4

Hope this helps!

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