Find the units of displacement of the point (4,2) to get the image of (7,7). Chapter (transformation) (coordinates) (translation). Please answer my questions correctly. Unnecessary answers will be reported.

Answers

Answer 1

Answer:

The units of the displacement are (3, 5) → T (x + 3, y + 5)

Step-by-step explanation:

The rules of translation of a point

If the point (x, y) is translated h units to the right and k units up, then its image is (x + h, y + k)If the point (x, y) is translated h units to the right and k units down, then its image is (x + h, y - k)If the point (x, y) is translated h units to the left and k units up, then its image is (x - h, y + k)If the point (x, y) is translated h units to the left and k units down, then its image is (x - h, y - k)

∵ Point (4, 2) is translated by (h, k)

∵ Its image is (7, 7)

∴ The x-coordinate of the point is increased from 4 to 7

∴ The point is translated to the right by h units

∵ 4 + h = 7

h = 7 - 4 = 3

The point is translated to the right 3 units

∵ The y-coordinate of the point is increased from 2 to 7

∴ The point is translated up by k units

∵ 2 + k = 7

k = 7 - 2 = 5

The point is translated up 5 units

∴ The point is translated 3 units right and 5 units up

The units of the displacement are (3, 5) → T (x + 3, y + 5)


Related Questions

Which expression is equivalent to 3n+2(1-4n)?
A. 2-n
B. 2-5n
C. 2+11n
D. 2-11n

Answers

Answer:

The Answer is B. 2-5n

Step-by-step explanation:

Multiply 2 by everything within the parenthesis and it leaves you with 3n+ 2-8n

Then combine like terms which are +3n and -8n which leaves you with -5n

3. Macys is having a one-day 35% off special. If Sara bought $124.50 worth of items, what would the final bil total after applying the discount of 35%?​

Answers

Answer:

43.575

Step-by-step explanation:

124.50×.35=43.575

find the slope of the line going through the points (10,8) and (8,36) enter your answer in simplest form

Answers

Answer:

-14x

Step-by-step explanation:

(y2-y1)/ (x2-x1)

(36-8)/(8-10) = 28/-2 = -14

It’s the red one but tell me why plz now hurry 4 min left

Answers

Answer:

you can plug in x to find y then use them as coordinates to find your answer.

Step-by-step explanation:

ex:

y=((1)-4)^2-3

y= (-3)^2-3

y=9-3

y=6

so then check to see if (1,6) is a point in that line.

Find the slope of the line graphed below.

Answers

Answer:

slope = 5/3

Step-by-step explanation:

(in case you need it in intercept form)

y = 5/3 + 1

Amina has 6 ¾ L of juice that she wants to pour into ¾ L containers. What is the number of containers that she can fill?

Answers

Answer:

She can fill 9 containers

Step-by-step explanation:

you do 6 3/4 dived by 3/4 and you get 9

How do you solve the equation above using substitution? Please show work :)

Answers

Answer:

the solution is (21/2, 19/2)

Step-by-step explanation:

The first equation, x = y + 1, has already been solved for x.  We can eliminate x in the second equatin by substituting y + 1 for x:

y = -(1/3)(y + 1) + 6

Let's eliminate fractions by multiplying all three terms by 3:

3y = y + 1 + 18

Combining like terms results in:

2y = 19, so that y = 19/2.

Substituting this 19/2 for y in the first equation, we get:

19/2 + 2/2 = x, or

x = 21/2

Thus the solution is (21/2, 19/2)

Sorry but need help again! 10 points and if two people answers brainiest goes to first!! :)

Answers

Answer:

B. Domain is left to right so the left point is solid on 2 and the right is solid on 8. The solid point means it can also be equal to.

Answer:

B) {x : 2 [tex]\leq[/tex] x [tex]\leq[/tex] 8 }

Step-by-step explanation:

The function of the graph's x values are between 2 and 8, but the dots at the ends of the function are closed, hence the answer is

2 [tex]\leq[/tex] x [tex]\leq[/tex] 8

Need answers ASAP 15 points!

Answers

Answer:

Step-by-step explanation:

Part A: 5/26

Part B: 5/26+ 1/2 which is 18/26 or 9/13

Part C: 5/26 +21/25. 'without replacing' means there is one less option in the bag. So denominator becomes 26-1=25. Numerator is 21 because there are a total of 21 consonants in the alphabet. Since we removed a vowel and not a consonant, it will remain 21.

ANSWER ASAP PLS



There are 21 boys and 6 girls in Mr. Sams homeroom. What is the ratio of girls to boys? (in simplest form)

ill make u brainliest

Answers

Answer:

21/6 can be divided by 3, so 7/2

7/2 cannot be divided into any more shared factors, so final answer is 7:2.

Proving the Parallelogram Diagram Theorem
Given: ABCD is a Parallelogram. Diagonals AC,BD intersect at E.
Prove AE = CE and BE =DE
THE AWNSWERS ARE IN THE PICTURE FROM 4 DOWN SOME POSTED A PICTURE WITH THE 4 UP HERE TO HELP :)​

Answers

Answer:

Did you learn about equal rectangles? we can prove AEB and CED are equal, which results in what we need to prove here

AE = CE and BE = DE. This can be proved with the help of the properties of congruent triangles.

What is a parallelogram?

'A parallelogram is a special kind of quadrilateral that is formed by parallel lines. The angle between the adjacent sides of a parallelogram may vary but the opposite sides need to be parallel for it to be a parallelogram. A quadrilateral will be a parallelogram if its opposite sides are parallel and congruent.'

According to the given problem,

ABCD is a parallelogram.

We know,

BC ║ AD and BC ≅ AD

From, the properties of a parallelogram,

∠CBD = ∠ADB

∠BCA = ∠DAC

We know, two lines are parallel and alternate interior angles of the parallelogram are equal.

Also, Δ BEC ≅ ΔAED (Angle-Side-Angle)

Therefore, AE ≅ CE ( The properties of congruent triangles )

                  BE ≅ DE ( The properties of congruent triangles )

Hence, we can conclude, in the parallelogram ABCD, AE = CE and BE = DE from the properties of congruent triangles.

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Please Factor x^2 +25.

Answers

Answer (it stays the same):

[tex]x^{2} + 25[/tex]  

I hope this helps!

The solution is (x + 5)(x - 5) award me brainliest because I didn’t lie to get free points

Expand and simplify
5 (4a+3b)+ 3 (a-b)​

Answers

5(4a+3b)+3(a-b)
20a + 15b +3a -3b
23a + 12b

Step-by-step explanation:

20 a + I 5 b + 3a - 3b

23 a + 12b

what is 62.686 in expanded form

Answers

Answer:

60 + 2 + 0.6 + 0.08 + 0.006

Step-by-step explanation:

you break it up into columns and whatever is before it becomes a 0 as a place holder.

i hope this helps :))

36 - 7 (8+6-9) what is the answer to this question

Answers

Answer:

The answer is 1.

Step-by-step explanation:

=36 - 7 (8+6-9)

=36-56-42+63

=-20-42=-62+63

=1

Answer:

36-7(8+6-9)

29(5)

145

simplify this expression: 11k - 3 + 4k + 8

Answers

Answer:

15k+5

Step-by-step explanation:

11k-3+4k+8

=(11k+4k) (-3+8)

=15k+5

Answer:

5(3k+1)

Step-by-step explanation:

11k-3+4k+8 collect like terms calculate

15k+5 factor the expression

5(3k+1) or 15k+5

There were 56 birdhouses at school. Today, 4 classes made more birdhouses. Each class
made 8 birdhouses. How many total birdhouses are there now?






2. Mr. Dent had 32 markers in his classroom. He buys new boxes of markers that have 9
markers in each box. Now, he has 86 markers. How many new boxes did he buy?




3. Jayson had 274 postcards in his collection. He wanted to give Sam some of his postcards.
Jayson gave Sam 8 postcards from each set below:
• Arts
• Sports
• Schools
• Parks
• Beaches
• Sunsets
How many postcards does Jayson have left?

Answers

Answer:

88 birdhouses

6 new boxes

226 postcards

Answer:

1. 88

2. 6

that's all, and when you do problems like this later, don't forget the order of operations!

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How many fish does Ms. Montesinos have in her tank?
a) Write a let statement below to define your variable(s):
b) Set up an equation using the variable you defined in (a):
c) Solve your equation & Check. How many fish does Ms. Montesinos have? JUST TYPE THE NUMBER. EXAMPLE: IF SHE HAS 17 FISH JUST TYPE "17"
d) Upload a picture of your SOLUTION & CHECK.
plz help me plzz

Answers

Answer:

Ms. Montesinos has 5 fish in her tank

Step-by-step explanation:

a) Let y = the amount of fish Ms. Montesinos

b) 3y-2=13

c)

3y-2+=13+2

3y/3=15/3

y=5

An animal pen is in the shape of a triangle. One of the interior angles of the triangle is 60°. The measures of the other interior angles are in the ratio 1 ∶ 7. What are the measures of the other interior angles?

Answers

Answer:

The measures of the other interior angles are 15° and 105°

Step-by-step explanation:

The given parameter of the measures of the interior angles of the triangle are;

The measure of one of the interior angle of the triangle = 60°

The ratio of the measure of the other interior angles = 1 : 7

Let the x represent one of the other interior angles and y represent the third interior angle, we have;

x + y = 180 - 60 = 120

x : y = 1 : 7

x = 1 part of 8 parts of 120°

y = 7 parts of 8 parts of 120°

Therefore;

x = 1/(1 + 7) × 120 = 1/8 × 120° = 15°

x = 15°

y = 7/(1 + 7) = 7/8 × 120° = 105°

y = 105°

The measures of the other interior angles are 15° and 105°.

which expression is equivalent to 2cos2(x/2)-cos(x)

Answers

The expression that is equivalent to 2cos²(x/2) - cos(x) is 1.

What are trigonometric equations?

These are the equation that contains trigonometric operators such as sin, cos.. etc.. In algebraic operations.

Here,
We can use the double angle identity for cosine, which states that:

cos(2θ) = 2cos²(θ) - 1

To simplify given expression expression by putting cos(x) = 2cos²(x/2) - 1 as follows:

= 2cos²(x/2) - cos(x)

= 2cos²(x/2) - 2cos²(x/2) + 1  (using the identity cos(2θ) = 2cos²(θ) - 1)

= 1

Therefore, the expression that is equivalent to 2cos²(x/2) - cos(x) is 1.

Learn more about trigonometry equations here:

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cuanto es la Raiz cuadrada de 12​

Answers

la raíz cuadrase es 3.464

The square root of 12 is approximately 3.4641.

The square root of 12 is an irrational number, meaning it cannot be expressed as a fraction or terminating decimal. However, we can approximate its value.

To approximate the square root of 12, we can use a calculator or perform an estimation. The square root of 12 is approximately 3.4641.

When we multiply 3.4641 by itself (3.4641 * 3.4641), we get a value very close to 12, but not exactly 12 due to the irrational nature of the square root.

The square root of 12 represents a number that, when multiplied by itself, equals 12. It is a non-repeating, non-terminating decimal that goes on infinitely. The approximation 3.4641 is commonly used to represent the square root of 12 in practical calculations.

Learn more about square root here

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English translation of question is below

What is the square root of 12?

Seth family plans to drive 220 miles to their vacation spot. They would like to complete the drive in 4 hours. Find the average speed in miles per hour needed to make the trip in the desired time.

Answers

Answer:

55 mph

Step-by-step explanation:

The family would have to drive an average of 55 mph. You find this by dividing 220 miles total by the 4 hour time allotment. ;)

10. Solve for A, rounding to the nearest degree:
tan A = 1.456

Answers

jzjzjsjsjsusjdjdjdjsi

The function h(x) is graphed on the coordinate plane provided. Determine the statements that are true about the function h(x). Select the two correct answers. The slope is -2. The slope is 1/2. The y-intercept is 1/2. The y-intercept is -4 . The x-intercept is 4.

Answers

Answer:

so you will need the slope is 1/2 and the y intercept is -4

Step-by-step explanation:

just find the y coordinate and find where the line on the graph is located to find the intercept then the slope is just where and how much the graph moves to for example if the graph goes right 2 times it goes up once so that means that it is true

Help please it’s needed

Answers

Answer:

The reasonings I provided are just examples (they are true, though!). Hope this helps!

Two radio stations are playing the #1 hit song "2 Nice 2 B True" by Anita and the Goody-2-Shoes. WMTH plays the song every 12 minutes. WMSU plays the song every 8 minutes. Both stations play the song at 3:00 P.M. When is the next time the stations will play the song at the same time?

Answers

Answer:

03:24 PM

Step-by-step explanation:

Given

[tex]Start\ Time = 3:00PM[/tex]

WMTH = Every 12 minutes

WMSU = Every 8 minutes

Required

Determine when they both play the song

To do this, we simply solve for the LCM of 8 and 12

List the factors of 8 and 12

[tex]8 : 8, 16, 24...[/tex]

[tex]12: 12, 24, 36...[/tex]

From the above, the least common multiple is 24

This means that the song will be played on both stations 24 minutes after 3:00PM

In other words, 03:24 PM

PLEASE HELP!!!
Select all that apply. Which of the following statements are true of this equation? Select all that apply. 5 1/6 divided by 2 5/12 = 2 4/29

The dividend is 5 1/6

The divisor is 5 1/6

The dividend is second number in this equation.

The quotient is correct.

Answers

Answer:

2.137931034

Step-by-step explanation:

Just divide it using a calculator, although I don't know how to convert it into a fraction. Sorry!

Karen tiene $ 25 en su cuenta de ahorros. Si ahorra $ 15 cada semana, ¿cuánto dinero tendrá en su cuenta después de 9 semanas?

Answers

Answer:

$160

Step-by-step explanation:

1 5

×         9

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

1 4

1 3 5

135+25

=160

160$ is the answer boss

WILL MARK YOU BRAINLIEST!!!!!

Answers

Answer: rotation can be expressed as the composition of two reflections. A composition of reflections over two parallel lines is equivalent to a translation. Example: Given a || b, and pre-image ΔABC, where parallel lines are vertical. The composition of reflections over two intersecting lines is equivalent to a rotation. A composition of transformations is a combination of two or more transformations, each performed on the previous image. A composition of reflections over parallel lines has the same effect as a translation (twice the distance between the parallel lines). i hope this helps.

Step-by-step explanation:

mn/6 + 10; use m = 7, and n = 6

Answers

Answer:

2.62500

Step-by-step explanation:

just use a calculator

The value of the expression mn/6 + 10 at m = 7 and n = 6 is 17.

What is an Algebraic expression?

An algebraic expression can be obtained by doing mathematical operations on the variable and constant terms.

The variable part of an algebraic expression can never be added or subtracted from the constant part.

The given expression is as follows,

mn/6 + 10

Its value can be found at m = 7 and n = 6 as follows,

mn/6 + 10

= (7 × 6)/6 + 10

= 7 + 10

= 17

Hence, the value of the given expression at  m = 7 and n = 6 is 17.

To know more about algebraic expression click on,

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