Translate a point (x, y) 3 units left and 5 units up. Then translate the image 5 units right and 2 units up. What are the coordinates
of the point after the translations?
The coordinates are

Answers

Answer 1

Answer:

Please check the explanation.

Step-by-step explanation:

Given the point

P(x, y)

Please note that when we translate a point 'c' units left, the 'c' units are subtracted from the x-values, and when translating a point 'c' units right, we add the 'c' units to the x-values.

Also, note that when we translate a point 'c' units down, the 'c' units are subtracted from the y-values, and when translating a point 'c' units up, we add the 'c' units to the y-values.

After First Translation:

3 units left and 5 units up

P(x, y) → P'(x-3, y+5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(x-3, y+5)  → P''(x-3+5, y+5+2) = P''(x+2, y+7)

Thus, the coordinates  of the point(x, y) after the translations are:  P''(x+2, y+7)

TAKING AN EXAMPLE

Let us consider that point

P(0, 0)

After First Translation:

3 units left and 5 units up

P(0, 0) → P'(0-3, 0+5) = P'(-3, 5)

After Second Translation:

Translate the image 5 units right and 2 units up.

P'(-3, 5) → P''(-3+5, 5+2) = P''(2, 7)

Thus, the coordinates  of the point P(0, 0) after the translations are:

P''(2, 7)
Answer 2

Answer: P''(2, 7). (hope this is what you wanted)!


Related Questions

66 cm cube of silver is drawn into a wire 1 mile in a diameter does length of wire will be​

Answers

Answer:

The length of the wire is 3.24451394 × 10⁻⁹ cm

Step-by-step explanation:

The volume of the wire = 66 cm³

The diameter of the wire = 1 mile

We convert the volume from cm³ into mile³  to get;

66 cm³ = 1.5834 × 10⁻¹⁴ mile³

The volume = π × D²/4 × l

Where;

D = The diameter = 1 mile

l = The length of the wire

1.5834 × 10⁻¹⁴ = π × 1²/4 × l

The length of the wire = l = 1.5834 × 10⁻¹⁴/(π × 1²/4) = 2.0160475 × 10⁻¹⁴ mile

1 mile = 160,934.4 cm

2.0160475 × 10⁻¹⁴ mile = 2.0160475 × 10⁻¹⁴ × 160,934.4 cm = 3.24451394 × 10⁻⁹ cm  

The length of the wire = 3.24451394 × 10⁻⁹ cm

Which is the coefficient in the expression 24x + 3?
a. x
b. 3
c. 24
d. 24x

Answers

The coefficient is c.24 because the coefficient is always in front of the variable.

Answer:

C. 24

Step-by-step explanation:

What is a solution to the equation x^2=25x 2 = 25?

Answers

Answer:

5

Step-by-step explanation:

hope this helps :)

5^2=25

5x5=25

Which is an equivalent way to express 3x?

Answers

3*1x... hope it helps

Look at the photo pick A B C D either one explanation not needed thank you! <3

Answers

Answer:

B.4

Step-by-step explanation:

It's asking the absolute value even though -6 is used here. So the answer is 4.

Which is an example of radiation?

1.Hot air rises and cool air moves in to take its place.

2.You burn your feet on a hot sidewalk on a sunny day.

3.Your car parked in the sun is hot when you return.

Answers

Answer:

3

Examples of Everyday Radiation

Visible light.

Infrared light.

Near ultraviolet light.

Microwaves.

Low frequency waves.

Radio waves.

Waves produced by mobile phones.

A campfire's heat.

Please help What value of x is in the solution set of 8x-6>12+2x? O-1 O0 O3 O5

Answers

Answer:

5

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Equality Properties

Step-by-step explanation:

Step 1: Define

8x - 6 > 12 + 2x

Step 2: Solve for x

Subtract 2x on both sides:                    6x - 6 > 12Add 6 to both sides:                              6x > 18Divide 6 on both sides:                          x > 3

Here we see that any value x greater than 3 would work as a solution to the inequality.

Out of the answer choices, 5 is the only number greater than 3.

Please help me! Thank you so much!

Answers

Answer: It's (A) 12<X

Step-by-step explanation: I chose that one because the line highlighted on the number line, it's bigger than 12!

diagram 7(i) shows a square with area of 64cm² formed using a string.The string is cut to form another two congruent rectangles with length 5 cm, as shown in diagram 7(ii).Calculate the area , one of the rectangles.If u guys can help me solve this, u guys really save my life.I need to submit tomorrow morning.​

Answers

Answer:

The area of one rectangle is 15 cm²

Step-by-step explanation:

The given parameters are;

The area of the square = 64 cm²

The length of the rectangles = 5 cm

The formula for the area of a square = (Side length)² = S²

Therefore, whereby the side length of the given square = S, we have;

Area of the square = 64 = S × S = S²

S = √(64 cm²) = 8 cm

The side length of the square = 8 cm

The perimeter of a square = The length of the string = Side length × 4 = 8 cm × 4 = 32 cm

∴ The perimeter of a square = The length of the string = 32 cm

The length of the string = The perimeter of the two congruent rectangle = 32 cm

Therefore;

The perimeter of each rectangle = 32/2 cm = 16 cm

Given that the length, L of the side of each rectangle is L = 5 cm, we have;

The perimeter of a rectangle = 2 × L + 2 × W

Where;

W = The width

The perimeter of the rectangle = 16 = 2 × 5 + 2 × W

2 × W = 16 - 2 × 5 = 6

W = 6/2 = 3

W = 3 cm

The width, W, of each rectangle is W = 3 cm

The area of one rectangle = W × L = 3 cm × 5 cm = 15 cm²

The area of one rectangle = 15 cm².

Please help it’s for geometry

Answers

i cannot see the whole question

Answer:

BI=BK

Step-by-step explanation:

BJ=BJ(common side)

<BJI=<BJK=90° (Perpendicular given)

IJ=JK (Bisector given)

congruent triangle ∆BIJ=~∆BKJ (RHS rule)

therefore, BI= BK

(60 + 10)
130
Solve for a

Answers

Answer:

Step-by-step explanation:

here you go mate'

step 1

(60 + 10)130  equation

step 2

(60 + 10)130  simplify with the brackets

step 3

130(70)  multiply the numbers

answer

9100

What is 238% of 250????

Answers

Answer:

250*2.38= 595. so the answer is 595

what is the solution to -3x=9?​

Answers

Answer:

x=-3

Step-by-step explanation:

Step-by-step explanation:

-3x=9

x= -3 Hope this helps

Which statement below CANNOT be represented by the expression x - 10?
a. 10 less than x
b. x decreased by 10
c. x less than 10
d. 10 subtracted from x

Answers

C, the answer is C, i can explain in comments if you need it
The answer is (C) x less than 10

Pls help me as fast as possible

Answers

Answer:

.56

Step-by-step explanation:

Use a calculator.

Decimal: .56

All you have to do is 14/25 which equals .56

If the distance of P x, y from the points A (3, 6) and B −3, 4 are equal, prove that
3x + y = 5

Answers

Answer:

See Below.

Step-by-step explanation:

We are given a point P(x, y). It is equidistant from A(3, 6) and B(-3, 4).

So, let's first determine the distance from P to each point. We can use the distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Segment PA:

We will let P(x, y) be (x₂, y₂) and A(3, 6) be (x₁, y₁). By substitution:

[tex]d=\sqrt{(x-3)^2+(y-6)^2[/tex]

This represents the distance from P to A.

Segment PB:

Again, we will let P(x, y) be (x₂, y₂) and B(-3, 4) be (x₁, y₁). By the distance formula:

[tex]d=\sqrt{(x-(-3))^2+(y-4)^2}[/tex]

We may simplify:

[tex]d=\sqrt{(x+3)^2+(y-4)^2}[/tex]

Now, we know that the two distances are equivalent. Hence:

[tex]\sqrt{(x-3)^2+(y-6)^2}=\sqrt{(x+3)^2+(y-4)^2[/tex]

Simplify. Square both sides:

[tex](x-3)^2+(y-6)^2=(x+3)^2+(y-4)^2[/tex]

Square:

[tex](x^2-6x+9)+(y^2-12x+36)=(x^2+6x+9)+(y^2-8x+16)[/tex]

Subtract all terms from the right:

[tex](x^2-6x+9)-(x^2+6x+9)+(y^2-12x+36)-(y^2-8x+16)=0[/tex]

Distribute the negative:

[tex][(x^2-6x+9)+(-x^2-6x-9)]+[(y^2-12y+36)+(-y^2+8y-16)]=0[/tex]

Rearrange:

[tex][(x^2-x^2)+(-6x-6x)+(9-9)]+[(y^2-y^2)+(-12y+8y)+(36-16)]=0[/tex]

Combine like terms;

[tex](-12x)+(-4y)+(20)=0[/tex]

We can divide both sides by -4:

[tex]3x+y-5=0[/tex]

Finally, adding 5 to both sides produces:

[tex]3x+y=5[/tex]

You have 4 black marbles, 3 green marbles and 5 red marbles in a bag. What
is the probability of pulling out a black marble?

Answers

Answer:

I believe it is 40% since there are 4 marbles within the bag!

Step-by-step explanation:

Which of the following is the radical expression 2d 7/10

Answers

Answer:

[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]

Step-by-step explanation:

Given

[tex]2d^{\frac{7}{10}}[/tex]

Required

Determine the radical expression

To do this, we apply the following law of indices:

[tex]a^{\frac{m}{n}} = \sqrt[n]{a^m}[/tex]

By comparing the above to [tex]2d^{\frac{7}{10}}[/tex], we have:

[tex]m=7[/tex]

[tex]n = 10[/tex]

So, the solution becomes

[tex]2d^{\frac{7}{10}}[/tex] [tex]= \sqrt[10]{2d^7}[/tex]

Some steps to construct an angle MNT congruent to angle PQR are listed below.

Step 1: Draw a segment NT.
Step 2: Use a compass to draw an arc from point Q that intersects the side PQ of angle PQR at point A and the side QR at point B.
Step 3:
Step 4: Adjust the width of the compass to AB, and draw an arc from point X such that it intersects the arc drawn from N in a point Y.
Step 5: Join points N and Y using a straightedge.

Which statement describes step 3 correctly?

Use the same width of the compass to draw an arc from point T that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point A that intersects the segment NT at a point X.
Use the same width of the compass to draw an arc from point B that intersects the segment NT at a point X.

Answers

From the description of the construction of the congruent angle, we have;

The statement that describes step 3 correctly is; Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X

The reason for making the above selection is as follows:

The steps to construct an angle congruent to another angle are;

Step 1: Given an angle PQR, draw a working segment NT

Step 2: Place the needle of the compass at point Q and draw an arc (Q, QA), intersecting sides PQ and QR of the angle ∠PQR at points A and B respectively

Step 3: Place the needle of the compass at point N and draw an arc with the compass width QA from above the to intersect the segment NT at a point X

Step 4: Set the compass width to the distance AB with which an arc is drawn from point X so as to intersect the arc (N, QA) above at point Y

Step 5: The points Y and N are joined with a straight line to form the congruent angle

Analysis of the steps:

Given that in step 4, we have that the the arc drawn from point X with compass width AB is meant to intersect the arc drawn from point N, at point Y, we have that in step 3 an arc was drawn from point N with compass width QA from step 2 to intersect NT at a point X

Therefore;

Step 3 is best described by the following statement;

Use the same width of the compass to draw an arc from point N that intersects the segment AN at a point X

Learn more about the construction of congruent angles here:

https://brainly.com/question/9781303

Use the same width of the compass to draw an arc from point N that intersects the segment NT at a point X.

This option gives us the step 3.

This is because we want to have equal angles. Therefore we select an arc equal in length to arc AB which intersects NT at  point X.

This can be explained more with the help of a diagram.

Two angles are equal when their dimensions are equal.

Arcs of equal length would give congruent angles.

https://brainly.com/question/11406334

A cyclist travels 7 miles in 15 minutes.
What is her average speed in mph?

Answers

Answer:

0.47 miles per hour

Step-by-step explanation:

The function y=-0.25+1 represents the percent y (in decimal form)  A battery power remaining x hours after you turn on the laptop computer. Identify and interpret the slope.

The slope is ___. This means that the power ____ by ____ per hour

Answers

Answer:

The slope is -0.25. This means that the power reduces by 0.25 percent per hour

Step-by-step explanation:

Given

[tex]y = -0.25x + 1[/tex]

Required

Identify and interpret the slope

An equation has a general form:

[tex]y = mx + b[/tex]

Where

[tex]m = slope[/tex]

Compare [tex]y = mx + b[/tex] to [tex]y = -0.25x + 1[/tex]

We have:

[tex]mx = -0.25x[/tex]

Divide both sides by x

[tex]\frac{mx}{x} = \frac{-0.25x}{x}[/tex]

[tex]m = \frac{-0.25x}{x}[/tex]

[tex]m = -0.25[/tex]

Because the result of the above calculation is negative, it means that the function reduces

The given function measures the percentage of power by hour.

So, the power reduces by 0.25% per hour

Ayana's chemistry class is exploring how the weight and volume of everyday objects are related. For her first experiment, Ayana gently drops a brick into a beaker filled with water. The volume increases by 2 liters, so now she knows the volume of the brick. Then, she uses its density to make a prediction about its weight in kilograms. If the density of brick is approximately 2 grams per milliliter, what should Ayana's prediction be?

Answers

Answer:  In the custom setting, choose the ‘My Object’ option in the material drop down box.  Set the mass of your object to 4 kg.  Adjust the volume to find the minimum volume needed to make the object float.

   Volume________4.09_L________                Density__________.98 kg/L________

      2.      How does the density of a large piece of aluminum compare to a small piece?

Step-by-step explanation:

Create a chart by calculating the heights of all the family members. Convert the heights in cm. Also find the average heights of your family. Compare your height with the average height and the height of your father.
plz help me now

Answers

Answer:

khkatyyjajtzjyftkrtehemrk5u2w

find k so that x-1 is a factor of x^3 -3x^2 + kx - 1

Answers

By the remainder theorem, if p(x) = x³ - 3x² + kx - 1 and x - 1 is a factor p(x), then the remainder upon dividing p(x) by x - 1 is p (1) = 0.

So we have

p (1) = 1³ - 3 • 1² + k - 1 = 0

Solve for k :

1 - 3 + k - 1 = 0

k = 3

Pls Helppp ASAP I will give brainliest to best answer!! 100 points if you help!!!
An arithmetic sequence has 8 terms total 1st number is -22 and 8th (last) number is 5 there are 6 missing terms in between, what are they? Please help me!! I need this!!

Answers

Answer:

- 127/7 or - 18 1/7- 100/7 or - 14 2/7-73/7 or -10 3/7-46/7 or - 6 4/7-19/7 or - 2 5/78/7 or 1 1/7

Step-by-step explanation:

Given AP with the first term of -22 and eighth term of 5To find the missing termsSolution

AP formula:

aₙ = a₁+(n-1)d

Using the given points we find the common difference:

a₁ = -22 and a₈ = 5

a₈ = a₁ + 7d5 = -22 + 7d7d = 5 + 227d = 27d = 27/7

Now the missing terms:

a₂ = -22 + 27/7 = - 127/7 or - 18 1/7a₃ = -22 + 2(27/7) = - 100/7 or - 14 2/7a₄ = -22 + 3(27/7) = -73/7 or -10 3/7a₅ = -22 + 4(27/7) = -46/7 or - 6 4/7a₆ = -22 + 5(27/7) = -19/7 or - 2 5/7a₇ = -22 + 6(27/7) = 8/7 or 1 1/7

please help me on this!!

Answers

Answer:

1. 7 people play soccer

2. 5 people play ONLY soccer.

3. 2 people play both soccer and basketball

Step-by-step explanation:

One side of the venn diagram is Basketball.

the other side is soccer.

the middle is both.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

WILL MARK BRAINLIEST!!!!!!!!!!!!!!! 20 POINTSSS

24 grams of salt and 16 grams of pure water were added to 160 grams of a 35% solution. What is the percentage of salt in the new solution?

Answers

Hi I know the answer it is 67

Answer: 40%

Steps are below

Step-by-step explanation:

First, let's find the amount of salt. 160/100=1.6, then 1.6x35 is 56. So the current amount of salt before we add more salt is 56g. Now that we know the amount of salt, let's find the amount of water. The total amount of solution is 160g, 56g of that is salt, and the rest is pure water. 160-56= 104g of pure water. Let's add 24 grams of salt and 16 grams of pure water. We now have 80g of salt, and 120g of water. A common mistake is doing 80/120, WHICH IS INCORRECT. The correct formula for solution/concentration is the amount of substance/total amount of solution. So you'd do 80+120 to get 200, and then do 80/200 which gets you 40%.

Hope it helps!! :D

What is the decimal equivalent of 2 + 11 and how 4 + 3?

Answers

Answer:

13.00 ; 7.00

Step-by-step explanation:

The decimal equivalent of :

2 + 11 = 13 ; expressed as a float = 13.00

The decimal equivalent of :

4 + 3 = 7 ; expressed as a floating point number = 7.00

What is 54-36÷9+14=n what is the value in n?

Answers

Answer:

64

Step-by-step explanation:

1st step: 36/9 = 4

54 - 4 + 14  (since all operations are addition and subtraction, just work left to right)

50 + 14 = 64

64 is the answer
You would solve for n in the order of pedmas
P- parentheses
E- exponents
D- division
M- multiplication
A- addition
S- subtraction
There are not parentheses or exponents so you would divide first 36/9=4
Next addition and subtraction go based of which comes first so 54-4=50 50+14=64
N=64

to complete a task in 16 days a company needs

Answers

Answer: depends on the task.

Step-by-step explanation: If it is one where it is for an important person, make anyone available do it. If it's very complicated, get your smartest person do it. Not very complicated, ask for anyone who is up for the job.

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