The image point of A after a translation right 1 unit and down 2 units is the point B (9,3). Determine the coordinates of the pre-image point A.

The Image Point Of A After A Translation Right 1 Unit And Down 2 Units Is The Point B (9,3). Determine

Answers

Answer 1

Alright, it went 1 to the right and down 2 times.

So for point B, you calculate the opposite.

Point B goes 1 left while going up by 2.

(9 - 1, 3 + 2) = (8, 5)

Pre-image point A is (8, 5)

Answer 2

The preimage of point A before a translation right 1 unit and down 2 units

is (8, 5).

What are transformations?

Two-dimensional figures can be transformed mathematically in order to travel about a plane or coordinate system.

Dilation: The preimage is scaled up or down to create the image.

Reflection: The picture is a preimage that has been reversed.

Rotation: Around a given point, the preimage is rotated to create the final image.

Translation: The image is translated and moved a fixed amount from the preimage.

Given, The image point of A after a translation right 1 unit and down 2 units is point B (9, 3) so we go exact opposite 1 unit left and 2 units up which is

(- 1, 2).

∴ The pre-image point A is (8, 5).

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Related Questions

PLEASE HELP. 35 points and brainliest. I am SO BAD with proofs and I would be grateful if someone helped me here and explained why the reasoning is what it is. Thank you :)

Geometry Writing Prompt 2

Directions: Determine what reason is missing from the proof. Write one paragraph explaining how you know that’s the correct reason. See the grading rubric for all requirements for writing a paragraph.

Option 1:

Answers

Answer:A rubric is a grading tool that describes the criteria, or "what counts," for the assignment.  It also describes each of the criteria according to gradations of quality, with descriptions of strong, middling, and problematic student work.  The criteria are listed in the column on the left.  The numbers in the top row indicate quality, with 3 being the best.   The number 0 is something everyone wants to avoid.  Students may use the rubric as a check list to determine if the writing meets the criteria of the assignment.

Point Value

2 points

1 points

.5 points

0 points

Topic Sentence

Interesting, original topic sentence, reflecting thought and insight; focused on one interesting main idea.

Clearly stated topic sentence presents one main idea.

Acceptable topic sentence presents one idea.

Missing, invalid, or inappropriate topic sentence;  main idea is missing.

Supporting Details

Interesting, concrete and descriptive examples and details with explanations that relate to the topic.  

Examples and details relate to the topic and some explanation is included.

Sufficient number of examples and details that relate to the topic.

Insufficient, vague, or undeveloped examples.

Organization and Transitions

Thoughtful, logical progression of supporting examples; Mature transitions between ideas.

Details are arranged in a logical progression; appropriate transitions.

Acceptable arrangement of examples; transitions may be weak.

No discernible pattern of organization; Unrelated details; no transitions.

Style

Appropriate tone, distinctive voice; pleasing variety in sentence structure; Vivid diction, precise word choices.

Appropriate tone; Clear sentences with varied structures; Effective diction.

Acceptable tone; some variety in sentence structures; Adequate diction and word choices.

Inconsistent or Inappropriate tone; Awkward, unclear, or incomplete sentences; Bland diction, poor word choice.

Mechanics

Consistent standard English usage, spelling, and punctuation. No errors.

Some errors, but none major, in usage, spelling, or punctuation. (1-2)

A few errors in usage, spelling, or punctuation (3-4)

Distracting errors in usage, spelling, or punctuation

Topic Sentences                                      ______

Supporting Details and Organization    ______

Organization/Transitions                        ______

Style                                                          ______

Mechanics                                                ______

           Total Points  ______ = grade of ______

*Your instructor will average the scores of both paragraphs to generate your final grade for Assignment #1.

Grade Equivalent:

A =  8 - 10 points

B =  6 -7  points

C =  4 - 5 points

D =  2 - 3 points

F =  0 - 1

Step-by-step explanation:

which ordered pair is a solution of the equation?

Answers

Answer:

D

Step-by-step explanation:

try all of them

When planting her garden, Frida is told the ratio of mulch to fertilizer is 1:6 bags. If she uses 4.5 bags of mulch, how much fertilizer should she use?

Answers

Answer:

X = 27 bags

Step-by-step explanation:

Given the following data;

Ratio of mulch to fertilizer = 1:6

Quantity of mulch = 4.5 bags

Let the quantity of fertilizer = x

Therefore,

1 mulch = 6 fertilizer

4.5 mulch = x fertilizer

Cross multiplying, we have

x = 6 * 4.5

x = 27

Therefore, if she uses 4.5 bags of mulch, then she should use 27 bags of fertilizer.

15 points!!! HELP. 4 Graph x - 2y > 8
5 Write an inequality for the graph shown.
Inequality
6 All values are greater than or equal to two. Write this statement as an inequality and
represent it on the graph
Inequality

Answers

Answer:

4). [tex]y<\frac{1}{2}x-4[/tex] (look at my explanation for how to graph)

5.) [tex]y<\frac{?}{?}x+?[/tex] (look at my explanation for how to get the correct numbers)

6.) [tex]x\geq 2[/tex] (look at my explanation for how to graph)

Step-by-step explanation:

Question 4:

    Solving for y:

First it's better if you solve for y then graph, it's easier that way.

[tex]x-2y>8\\-2y>-x+8\\y<\frac{1}{2}x-4[/tex]

As you might notice the greater than sign flipped, that doesn't always happen. It only happens when you are dividing by a negative number.

    Graphing the inequality:

When you start graphing you should always start by plotting the y-intercept. Which in this case it's [tex](0,-4)[/tex]. Then starting from that point you would go up 1 unit then right 2 units then plot the new point because the slope is [tex]\frac{1}{2}[/tex]. The 1 would be the up and down as for the 2 it will be the right and left. This goes up 1 and right 2 because it's positive. So you keep going creating new points as you go then when you reached the end of the graph you would go back to [tex](0,-4)[/tex] and do the opposite so you will do down 1 then left 2. When you run out of room you will have to draw a line, but be careful the line has to be dotted because the solid lines are used for the greater/less than or equal to signs. Then make sure to add arrows at each side of the dotted line to indicate that this line is infinite.

Question 5:

I'm very sorry but I can't see the picture since it's a bit blurry. So I'll try to explain how to write the inequality the best I can. So first we need to know the y-intercept it should be the point directly on the y-axis. Then find the slope by seeing how it gets to the next perfect point. I can tell you that the slope will be positive. Also for the sign it's dotted that means the sign is [tex]<[/tex]. So the inequality should look something like this [tex]y<\frac{?}{?}x+?[/tex]. Make sure you have the signs correct too don't change the ones I already put in.

Question 6:

For this one the inequality will look like this [tex]x\geq 2[/tex]. Then for the graph you will plot [tex](2,0)[/tex]. Then make a solid line that goes vertically since the only x-value is 3 the y-value will be changing without the x. Then for the shading you will shade the right side of the line.


The ratio of boys to girls in math classes is 3.5. If there are 130 girls in these classes, how many boys must there be?

Answers

Answer:

Required Answer:-

The ratio of boys and girls =3:5

Let

Number of boys=3x

Number of girls =5x

According to the question Numbers of girls=130

[tex]{:}\longrightarrow[/tex][tex]\sf 5x=130 [/tex]

Now interchange both sides and get x

[tex]{:}\longrightarrow[/tex][tex]\sf x={\dfrac {130}{5}}[/tex]

[tex]{:}\longrightarrow[/tex][tex]\sf x=26 [/tex]

Now

The number of boys=3x

=3×26=78

[tex]\therefore[/tex]Number of boys is 78.

What is the slope of the line that passes through the points (-4,-2) and
(-4,-22)? Write your answer in simplest form.

Answers

Answer:-20

Step-by-step explanation:

slope= (y2-y1)/(x2-x1)

= -22-(-2)/(-4-(-4)

= -20/0

Solve the following inequality.

8(x+5)≥0

x≤5

x≤−5

x≥−5

x≥5

Answers

Answer:

the third one

Step-by-step explanation:

8x + 40 ≥ 0

8x ≥ -40

x ≥ -5

In the right ∆ABC, the hypotenuse AB = 17 cm. M is the midpoint of the hypotenuse. Find the legs if PAMC=32 cm and PBMC=25 cm

Answers

Answer:

The length of the legs is 8.64cm and 14.64cm respectively

Step-by-step explanation:

I've added an attachment to aid my explanation.

At different intervals, I'll be making reference to it.

Given

[tex]AB = 17[/tex]

[tex]PAMC = 32[/tex]

[tex]PBMC = 25[/tex]

From the attachment, we have:

[tex]y + z = AB[/tex]

Since, M is the Midpoint

[tex]y = z = \½AB[/tex]

Substitute 17 for AB

[tex]y = z = \½ * 17[/tex]

[tex]y = z = 8.5[/tex]

Also, from the attachment

[tex]v + x + z = PAMC[/tex]

[tex]v + x + y = 32[/tex]

Substitute 8.5 for y

[tex]v + x + 8.5 = 32[/tex]

[tex]v + x = 32 - 8.5[/tex]

[tex]v + x = 23.5[/tex] --------- (1)

Also, from the attachment

[tex]v + w + z = 25[/tex]

Substitute 8.5 for z

[tex]v + w + 8.5 = 25[/tex]

[tex]v + w = 25 - 8.5[/tex]

[tex]v + w = 17.5[/tex] ----------- (2)

Subtract (2) from (1)

[tex]v - v + x - w = 23.5 - 17.5[/tex]

[tex]x - w = 6[/tex]

Make x the subject

[tex]x = 6 + w[/tex]

Apply Pythagoras Theorem:

We have that:

[tex]AB^2 = AC^2 + BC^2[/tex]

The above can be replaced with

[tex]17^2 = x^2 + w^2[/tex] (see attachment)

[tex]289 = x^2 + w^2[/tex]

Substitute 6 + w for x

[tex]289 = (6 + w)^2 + w^2[/tex]

[tex]289 = 36 + 12w + w^2 + w^2[/tex]

[tex]289 - 36 = 12w + 2w^2[/tex]

[tex]253 = 12w + 2w^2[/tex]

Reorder

[tex]2w^2 + 12w - 253 = 0[/tex]

Solve using quadratic equation:

[tex]w = \frac{-b \± \sqrt{b^2 - 4ac}}{2a}[/tex]

Where

[tex]a = 2[/tex]

[tex]b = 12[/tex]

[tex]c = -253[/tex]

[tex]w = \frac{-12 \± \sqrt{12^2 - 4 * 2 * -253}}{2 * 2}[/tex]

[tex]w = \frac{-12 \± \sqrt{144 + 2024}}{4}[/tex]

[tex]w = \frac{-12 \± \sqrt{2168}}{4}[/tex]

[tex]w = \frac{-12 \± 46.56}{4}[/tex]

Split:

[tex]w = \frac{-12 + 46.56}{4}[/tex] or [tex]w = \frac{-12 - 46.56}{4}[/tex]

[tex]w = \frac{34.56}{4}[/tex] or [tex]w = \frac{-58.56}{4}[/tex]

[tex]w = 8.64[/tex] or [tex]w = -14.64[/tex]

But length can't be negative

So:

[tex]w = 8.64[/tex]

Recall that: [tex]x = 6 + w[/tex]

[tex]x = 6 + 8.64[/tex]

[tex]x = 14.64[/tex]

Hence, the length of the legs is 8.64cm and 14.64cm respectively

what is 90% written as a decimal​

Answers

Answer:

.9

Step-by-step explanation:

Answer:

.9

Step-by-step explanation:

15x + 5y = 20 y = 8 - 3x​

Answers

Answer:

Step-by-step explanation:

15x+5y=8-3x

18x+5y=8⇒eqn 1

15x+5y=20y

15x-15y=0⇒eqn 2

eqn 1 * 3

 54x + 15y=24⇒eqn 3

eqn 3 + eqn 2

69x=24

x=24/69=0.3478

eqn  1⇒

    5y=8-18(24/69)

     y=1.7391/5

     y=0.3478

The solution to the system of equations is (10/3, -2).

What is an equation?

Two or more expressions with an equal sign are defined as an equation.

The given equations are 15x + 5y = 20 and y = 8-3x.

15x + 15y = 20

Substitute y = 8-3x into the above equation:

15x + 15(8-3x) = 20

15x + 120 - 45x = 20

45x - 15x = 120 - 20

30x = 100

x = 10/3

Substitute x = 10/3 in y = 8 - 3x:

y = 8 - 3 (10/3)

y = 8 - 10

y = -2

Hence, the solution to the system of equations is (10/3, -2).

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what is the sum of 9² and 6²​

Answers

Answer:

117

Step-by-step explanation:

9^2 + 6^2 = 81 + 36

= 117

Answer: 117

Step-by-step explanation: To find the sum of 9² and 6²​, first you’ll have to find the whole number value of both integers (9² and 6²​). Next, in order to do this, multiply 9 x 9 and 6 x 6. (9 x 9 = 81; 6 x 6 = 36). Lastly, add your two sums, being 81 and 36 to give you a final answer or sum of 117.

Find the slope of the line passing through the points (3, 8) and (-2,5).
A.3/5
B.13
C.3

Answers

Answer:

A

Step-by-step explanation:

(8-5)/(3--2)

3/(3+2)

3/5

Answer:

A. 3/5

Step-by-step explanation:

(3,8) (-2,5)

Use the slope formula

(5-8)/(-2-3) = -3/-5 = 3/5

2(-6+-3)over2 - (-6+-4)

Answers

Answer:

28

Step-by-step explanation:

BRAINLIEST PLS I NEEED SO MBAD

Your Turn Given the slope 8 and y-intercept 2 write the
equation of the line.
y =

Answers

Answer:

y = 8x + 2

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Here m = 8 and c = 2 , thus

y = 8x + 2 ← equation of line

Answer: Y= 8x + 2

The number for slope always has a x following it and the y intercept is 2 and because its a positive 2 , you add the 2.

Plz help me with this question!

Answers

Answer:

the answer is y=-1/6x-1

Answer:

You put a 1 in the Green Box

Step-by-step explanation:

The full equation is y=1/6x-1

What is the slope for (2,-1) and (6, -1)

Answers

Answer:

[tex]m=0[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (2, -1)

Point (6, -1)

Step 2: Find slope m

Substitute:                    [tex]m=\frac{-1+1}{6-2}[/tex]Add/Subtract:               [tex]m=\frac{0}{4}[/tex]Divide:                          [tex]m=0[/tex]

The next two terms of the sequence 4, 7, 10, 13 are ..

16 and 19
15 and 19
15 and 18
16 and 18

Answers

It’s adding by 3
13 + 3 = 16
16 + 3 = 19
It would be 16 and 19

what is the gcf (greatest common factor) of 36 and 45


thx

Answers

9 is the answer i think...

Answer:

9

Step-by-step explanation:

solve
x4 − 8x2 + 16 = 0

Answers

Answer:

x=−2

Step-by-step explanation:

Help ASAP please... I will mark Smartest

Answers

Answer:

The above one

The formula should be the same. most likely

need help plz i will give u a brainliest

Answers

Answer:

x = -6

Step-by-step explanation:

let's call the number x.

"five less than"

[expression] - 5

"the quotient of a number and 3"

x/3

x/3 - 5

"is -7"

x/3 - 5 = -7

add 5 to both sides of the equation

x/3 - 5 + 5 = -7 + 5

x/3 = -2

multiply both sides of the equation by 3

x/3 * 3 = -2 * 3

x = -6

Answer:

X = number,

so the expression becomes X/5 - 14

Step-by-step explanation:

x

5

<

4

Explanation:

"Quotient" is the answer to a division.

Let's call the number

x

.

The quotient of a number (

x

) and

5

means

x

5

The quotient we have must be less than 4 , which is written

<

4

So,

x

5

<

4

I think of a number, square it, then subtract the original number. The result is 30. What could the number be

Answers

Answer:

[tex] \sqrt{x - x = 30 \\ 6 \times 6 - 6 = 30 \\ } 36 - 6 = 30 \\ 30 = 30 \\ 6[/tex]

6 is the answer

Which of the three situations given below is best modeled by an exponential function?

I'm not good at math :/

Answers

B only, exponential means rapid growth so it’s not a constant like a linear function, linear is a constant growth for instants the puppy is growing constantly 2 pounds per month

The correct answer is (b) a bacteria culture triples in size every day describes a exponential function.

What is a function?

A relation is a function if it has only One y-value for each x-value.

The growth of a population, bacteria culture, or puppy can be modeled by an exponential function if the growth rate is proportional to the current size.

In other words, if the growth rate is constant, then the growth can be modeled by an exponential function.

Out of the three situations given, option (ii) is the only one that has a constant growth rate, since the bacteria culture triples in size every day. This means that the growth rate is constant at 200% per day.

Option (i) has a growth rate that is not constant but increases every year, so it is not best modeled by an exponential function.

Option (iii) also has a growth rate that is not constant, since the puppy grows by a fixed amount of 2 pounds every month regardless of its current weight.

Therefore, the correct answer is (b) a bacteria culture triples in size every day describes a exponential function.

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In a library where the ratio of men to women is 1 to 1, _____ of the total members are men.

Answers

Answer:

half

Step-by-step explanation:

if one out of every two people is a man then half

Find the nth term of this number sequence.
1,7,13,19...

Answers

Answer:

This sequence is arithmetic, and the next term is 25

Step-by-step explanation:

The common difference of the sequence is 6, so the next term is 19+6=25.

The difference between the consecutive terms is constant => sequence is arithmetic.

7-1=6

13-7=6

19-13=6

Answer:

Step-by-step explanation:

a=1

c.d. d=13-7=6

[tex]a_{n} =a_{1}+(n-1)d\\a_{n}=1+(n-1)6\\a_{n}=1+6n-6\\a_{n}=6n-5[/tex]

what is 6.2 divieded by 52.08

Answers

Answer:

5/42=0.11904762

Step-by-step explanation:

convert to fraction

31/5 divided by 1302/25

do the reciprocal

31/5 x 25/1302

reduce the numbers with the greatest common facter 5

31 x 5/1302

reduce the numbers with the greatest common factor 31

5/42

turn into decimal

5/42=0.11904762

I am really confused help please????

Answers

Answer:

the answer is B

Step-by-step explanation:

Answer:

Its C because think about it

Step-by-step explanation:

If the common difference in an arithmetic sequence is 4, and the 20th term is 36, what is the first term?A.-40 B. 76 C. 40 D. 2​

Answers

Answer:

             A.  - 40

Step-by-step explanation:

[tex]a_n=a_1+d(n-1)\\\\a_{20}=a_1+d(20-1)\\\\36=a_1+4\cdot19\\\\36=a_1+76\\\\a_1=36-76\\\\a_1=-40[/tex]

Bakersville and Greenville are 4 inches apart on a
map. If the scale is 1 in: 105 mi, what is their actual
distance?

Answers

Answer:

420 miles

Step-by-step explanation:

1 inch is equal to 105 miles. The amount of inches between the two towns is 4, and 4 inches is 4 times the amount of inches in the scale. If the amount of inches is multiplied by 4, then the amount of miles should be multiplied by 4 too:

105 * 4 = 420

The actual distance is 420 miles.

Hope this helps :)

At the end of a snowstorm, Ethan had 11 inches of snow on his lawn. The temperature then increased and the snow began to melt at a constant rate of 1 inch per hour. Assuming no more snow was falling. How much snow would Ethan have on his lawn after t hours of snow melting?

Answers

Answer: your formula is y=-1x+11

Step-by-step explanation: this is because the line decreases which means the slope is negative. 11 is the y-intercept.

Answer:

10 inches

Step-by-step explanation:

11 inches - 1 hour =10

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