Which sequence of transformations would create an image that is incongruent to the original pre-image? O A translation 4 units to the left followed by a dilation by 2 O A rotation of 90- followed by a translation of 2 units to the right O A reflection across the y-axis followed by a rotation of 180- O A rotation of 270 followed by a reflection across the x-axis.​

Answers

Answer 1

Answer: Choice A

A translation 4 units to the left followed by a dilation by 2

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

Explanation:

The following transformations will make the pre-image and image congruent to one another:

ReflectionRotationTranslation

If you apply any of those transformations mentioned above, then the image is an identical copy of the pre-image. Nothing about the figure has changed other than it has been shifted, rotated, or reflected in some way. The figure retains its original size and shape. These transformations are called isometries.

A dilation on the other hand does not preserve the size. "Dilation by 2" means the scale factor is 2, so the image will be twice as large compared to the pre-image, in terms of linear dimension. This means there is no way the image is congruent to the pre-image if a dilation has occurred.

Based on all this, choice A is the answer. Choices B, C, and D only involve the three isometries mentioned earlier and no dilation at all, so they can be ruled out.


Related Questions

Rehan wants to add a fence along his triangular garden whose sides are 14m,16m and 20m. What will be the length of fencing material? Give your answer in cm.

Answers

Answer:

5000cm

Step-by-step explanation:

14 + 16 + 20 = 50m

50m x 100cm/m = 5000cm

So lost. How do I find the area when the height isn’t shown.

Answers

Answer:

By taking the height as x most probably

Step-by-step explanation:

Question 3 (4 marks)
A certain retail outlet found that 40% of all customers walking into their store will buy at least one item on
that occasion. Customers make a purchase independently from one another. Calculate the following
probabilities correct to 4 decimal places.
3.1. (2 marks) What is the probability that one or two out of the next four customers will make a purchase?
3.2. (2 marks) What is the probability that at least one out of the next four customers do not make a purchase?​

Answers

Answer:

3.1 0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2 0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Step-by-step explanation:

For each customer, there are only two possible outcomes. Either they make a purchase, or they do not. The probability of a customer making a purchase is independent of any other customer. This means that the binomial probability distribution is used to solve this question.

Binomial probability distribution

The binomial probability is the probability of exactly x successes on n repeated trials, and X can only have two outcomes.

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

In which [tex]C_{n,x}[/tex] is the number of different combinations of x objects from a set of n elements, given by the following formula.

[tex]C_{n,x} = \frac{n!}{x!(n-x)!}[/tex]

And p is the probability of X happening.

40% of all customers walking into their store will buy at least one item on that occasion.

This means that [tex]p = 0.4[/tex]

4 customers:

This means that [tex]n = 4[/tex]

3.1 What is the probability that one or two out of the next four customers will make a purchase?

This is:

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 1) = C_{4,1}.(0.4)^{1}.(0.6)^{3} = 0.3456[/tex]

[tex]P(X = 2) = C_{4,2}.(0.4)^{2}.(0.6)^{2} = 0.3456[/tex]

So

[tex]P(1 \leq X \leq 2) = P(X = 1) + P(X = 2) = 0.3456 + 0.3456 = 0.6912[/tex]

0.6912 = 69.12% probability that one or two out of the next four customers will make a purchase.

3.2. What is the probability that at least one out of the next four customers do not make a purchase?​

This is:

[tex]P(X \leq 4) = 1 - P(X = 4)[/tex]

In which

[tex]P(X = x) = C_{n,x}.p^{x}.(1-p)^{n-x}[/tex]

[tex]P(X = 4) = C_{4,4}.(0.4)^{4}.(0.6)^{0} = 0.0256[/tex]

[tex]P(X \leq 4) = 1 - P(X = 4) = 1 - 0.0256 = 0.9744[/tex]

0.9744 = 97.44% probability that at least one out of the next four customers do not make a purchase

Which group of numbers could be the measures of the sides of a right
triangle?

Answers

Answer:

it's B. i individually solved all of them using the pythagorean theorem.

Step-by-step explanation:

"The Pythagorean theorem states that, in a right triangle, the square of the length of the hypotenuse (the side across from the right angle) is equal to the sum of the squares of the other two sides. So if the length of the hypotenuse is c and the lengths of the other two sides are a and b, then c^2 = a^2 + b^2"

sqrt61=6+5

square everything on both sides and ur left with

61=36+25

61=50+11

61=61

boom

It takes 0.25 cup of sugar to make a batch of chocolate chip cookies. I have 5.50 cups of sugar. How many batches of cookies can I make?

Answers

Answer:

22

Step-by-step explanation:

5.50/0.25 = 22

Answer:

22

Step-by-step explanation:

5.50 cups of sugar divided by the .25 cups needed for each batch gives you 22 :)

A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?​

Answers

Hello there I hope you are having a great day :) You Question A plumber can complete a job in 2 hours. If an apprentice helps, it takes only 1 1/3 hours. How long would it take the apprentice working alone?

(1 1/3) / 2 + (1 1/2) / a = 1

(4/3)a + (4/3)2 = 2a              multiply both sides by 2a

(4/3)2 = (2/3)a                      subtract (4/3)a from both sides

8/3 = 2a/3                            simplify

8 = 2a

4 = a

Hopefully that help you :)

Find the sum of 5/8 + 3/10 *

Answers

Answer:

37 / 40 or 0. 925

Step-by-step explanation:

5/ 8 + 3 / 10

= 37 / 40

= 0. 925

Mark brainliest pls

This might acually affect Lebron's Legacy

Write the equation of the circle that is centered at (- 13, - 2) and has a diameter of 24^ *

Answers

Step-by-step explanation:

Given :-

Centre = (-13,-2) Diameter = 24

And we need to find out the equation of the circle. Since the diameter is 24 u therefore it's radius will be 12 u . Now we can use the Standard equation of circle to find out the equation .

Standard equation of circle :-

[tex]\implies (x-h)^2+(y-k)^2 = r^2 [/tex]

Where (h,k) is centre and r is radius.

[tex]\implies (x-(-13))^2+(y-(-2))^2 = 12^2 \\\\\implies ( x+13)^2+(y+2)^2=144 \\\\\implies x^2+169+26x+y^2+4+4y=144\\\\\implies x^2+y^2+26x+4y+ 29 =0[/tex]

help lol -30=5(x+1) x= ?

Answers

1.Distribute

-30=5(x+1). x

[tex]-30=5x^{2}+5x[/tex]

2. Move terms to the left side

[tex]-30=5x^{2} +5x[/tex]

[tex]-30-(5x^{2} +5x)=0[/tex]

3. Rearrange terms

[tex]-30-5x^{2} -5x=0[/tex]

[tex]-5x^{2} -5x-30=0[/tex]

Hope this helps! Sorry if I'm wrong

[tex]\huge\text{Hey there!}[/tex]

[tex]\large\text{ORIGINAL EQUATION}\downarrow[/tex]

[tex]\large\textsf{ -30 = 5(x + 1)}[/tex]

[tex]\large\text{TURN the EQUATION}[/tex]

[tex]\large\textsf{5(x + 1) = -30}[/tex]

[tex]\large\text{DISTRIBUTE \textsf{5} WITHIN the PARENTHESES}[/tex]

[tex]\large\textsf{5(x) + 5(1) = -30}[/tex]

[tex]\large\textsf{5(x) = \bf 5x}\\\large\textsf{5(1) = 5}[/tex]

[tex]\rightarrow\large\textsf{5x + 5 = -30}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x + 5 = -30}}[/tex]

[tex]\large\text{SUBTRACT \textsf{5} to BOTH SIDES}[/tex]

[tex]\large\textsf{5x + 5 - 5 = -30 - 5}[/tex]

[tex]\large\text{CANCEL out: \textsf{5 - 5} because that gives you \textsf{0}}[/tex]

[tex]\large\text{KEEP: \textsf{-30 - 5} because that helps you solve for your \textsf{x-value}}[/tex]

[tex]\large\textsf{-30 - 5 = \bf -35}[/tex]

[tex]\large\text{NEW EQUATION: \textsf{5x = -35}}[/tex]

[tex]\large\text{DIVIDE \textsf{5} to BOTH SIDES}[/tex]

[tex]\mathsf{\dfrac{5x}{5}= \dfrac{-35}{5}}[/tex]

[tex]\large\text{CANCEL out: }\mathsf{\dfrac{5x}{5}}\large\text{ because that gives you the value of \textsf{1}}[/tex]

[tex]\large\text{KEEP: }\mathsf{\dfrac{-35}{5}}\large\text{ gives you the \textsf{x-value}}[/tex]

[tex]\large\textsf{x = }\mathsf{\dfrac{-35}{5}}[/tex]

[tex]\large\text{SIMPLIFY ABOVE \& YOU HAVE YOUR x-value}[/tex]

[tex]\boxed{\boxed{\large\textsf{ANSWER: \huge \bf x = -7}}}\huge\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{Amphitrite1040:)}[/tex]

If f(x) = 6x3 – 11x2
6x3 – 11x2 – 26x + 15 and
f(3) = 0, then find all of the zeros of f(x)
algebraically.

Answers

Answer:

f(6)g(8)

f(3)=0

Step-by-step explanation:

its a mathematics formula its ia trick

Decrease £2123 by 8%
Give your answer rounded to 2 DP

Answers

The Decreased amount of  £2123 by 8% is approximately; £1953.16

How to find percentage decrease a value?

We want to decrease £2123 by 8%.

We can do this by the following formula;

Decreased amount = 2123 * (100% - 8%)

Decreased amount = 2123 * 92%

Decreased amount = £1953.16

Read more about percentage decrease in value at; https://brainly.com/question/11360390

#SPJ1

URGENT HELPP!!!NO LINKS

Answers

Answer:

25 I believe

Step-by-step explanation:

think has 5 letters

only using it once ofc

5×5= 25

Find the measure of angle QZT.

Answers

Answer:    112

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

Explanation:

Minor arc QV is 80 degrees because it adds to minor arc VU = 100 to get 80+100 = 180. Note how angle QPU = 180, since it's a straight line and QU is a diameter of the circle.

Add up the minor arcs

TUUVVQ

to get:  44+100+80 = 224

This means arc TUQ is 224 degrees. Inscribed angle QZT subtends arc TUQ. Use the inscribed angle theorem to say that the inscribed angle is half of the arc it cuts off.

angle QZT = (arc TUQ)/2

angle QZT = 224/2

angle QZT = 112 degrees

Please hel p me. !!!!!!! I need the median.

Answers

Have been so long since i sees this question , i will try
Step 1 add all number together
Step 2 take the total number divided by 10
Thats you median
Either that or you arrange the number from small to big
Then the middle number 5 and 6 you add them together and divided by 2

In ascending order,

36, 43, 50, 51, 58, 59, 60, 69, 73

N=9

median (Q2)= N+1/2

or, Q2= 9+1/2

or, Q2= 10/2

= 5th item

Therefore, the median is 58.

I don't know if this is correct or not.

Can someone plz help with this? Thank you so much.

Answers

Answer:

A. 3

Step-by-step explanation:

[tex]y = 3x - 8 \\ at \: (6, \: 1) \\ \frac{dy}{dx} = 3 \\ at \: (x, \: y) \\ gradient = \frac{y - 1}{x - 6} \\ 3 = \frac{y - 1}{x - 6} \\ y - 1 = 3(x - 6)[/tex]

b. Convert 17 g to oz ​

Answers

Answer:

2176 ounces

Step-by-step explanation:

one gallon has 128 ounces

Which mathematical property is demonstrated below? 3 + 0 = 3
Identity Property
Indemnify Property
Idiocy Property
Idolatry Property

Answers

Answer: Identity Property

Step-by-step explanation:

The rest have very fake names lol

Answer:

Identity Property

Step-by-step explanation:

Identity Property :

Any number plus zero is the original number.

Hope it is helpful....

help me pls I'll give you briliantest if you give me the right answer and no links​

Answers

Answer:

8

Step-by-step explanation:

your welcome hope this helps :)

What is 17% of 13.00

Answers

Answer:

The answer is 2.21

Step-by-step explanation:

Answer:

2.21

Step-by-step explanation:

13(.17)

Need help with using the graph to find the numbers

Assignment is about evaluating composition of functions from graphs anything helps

Answers

Answer:

f(2) = -3

g(-3) = -5

Step-by-step explanation:

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

A circle is cut from a square piece of cloth, as shown.

How many square inches of cloth are cut from the square?
(TT = 3.14)

•1,017,36 in2
•1.182.96 in2
•1276.00 in2
•1.489.24 in2

Answers

Answer:

area of a circle= πr²

= 3.14×18×18×

=1017.36 in²


The length of a rectangle is 6.7 cm, correct to 2 significant figures. For the length of the rectangle
write down the lower bound

Answers

Answer:

[tex]Lower\ Bound = 6.65cm[/tex]

Step-by-step explanation:

Given

[tex]Length = 6.7cm[/tex] to 2sf

Required

The lower bound

The lengths are approximately 6.7cm to 2sf are:

[tex]Length = \{6.65 \to 6.74\}[/tex]

Such that:

[tex]Length = \{Lower\ Bound \to Upper\ Bound\}[/tex]

So, by comparison:

[tex]Lower\ Bound = 6.65cm[/tex]

Please help me with this question!:))

Answers

Answer:

6

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

the two lines mean absolute value.  The absolute value of a number is just the number positive. For example the absolute value of -5 is 5 and the absolute value of 5 is 5. So on C, when you plug in -6, you get the absolute value of -6 which is 6. 6 is not greater than 6

if that makes sense :)

A gallon of gas costs $3.05 per gallon. Joey's car gets 35 miles per gallon on the highway and 27 miles per gallon in the city. Using the

highway, Joey drives at an average speed of 54 miles per hour, and it takes him 0.5 hours to get to work. The highway has one $1.25 toll.

Using a city street route, Joey drives at an average speed of 36 miles per hour, and it takes him 1 hour to get to work.

Which quantities would be used to determine the total cost for Joey to drive to work using the highway? Choose all that apply. A. 0.5 hours B. 1 hour C. $1.25 per car D. $3.05 per gallon E. 27 miles per gallon F. 35 miles per gallon G. 36 miles per hour H. 54 miles per hour

Answers

Answer:

The quantities that would be used to determine the total cost for Joey to derive to work using the highway are:

A. 0.5 hours

C. $1.25 per car

D. $3.05 per gallon

F. 35 miles per gallon

H. 54 miles per hour

Step-by-step explanation:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Distance travelled per gallon in the city = 27 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Joey's average speed using the city street route = 36 miles per hour

Number of hours to get to work using the city street route = 1 hour

Relevant data for highway driving total costs:

Cost of a gallon of gas = $3.05

Distance travelled per gallon on the highway = 35 miles

Joey's average speed using the highway = 54 miles per hour

Number of hours to get to work using the highway = 0.5 hours

Toll on the highway = $1.25

Total costs for using the highway = $1.25 + ($3.05/35 * 54 * 0.5) = $3.60

Answer:

A, B, D, F, H

Step-by-step explanation:

A woman has eight keys on a key ring, one of which fits the door she wants to unlock. Sherandomly selects a key and tries it. If it does not unlock the door, she randomly selects anotherkey from those remaining and tries to unlock the door with it. She continues in this manner untilthe door is unlocked. Let X be the number of keys she tries before unlocking the door, countingthe key that actually worked.

Required:
Find the expected number of keys she will try before she opens the door.

Answers

Answer:

The expected number of keys she will try before she opens the door is 4.5.

Step-by-step explanation:

A woman has eight keys on a key ring, one of which fits the door she wants to unlock.

Each of them is equally as likely to be the one to work, which means that this situation is represented by an uniform distribution with lower bound [tex]a = 1[/tex] and upper bound [tex]b = 8[/tex].

Find the expected number of keys she will try before she opens the door.

The expected value of the uniform distribution is given by:

[tex]E = \frac{a + b}{2}[/tex]

Considering [tex]a = 1, b = 8[/tex], as is the case in this exercise:

[tex]E = \frac{1 + 8}{2} = 4.5[/tex]

The expected number of keys she will try before she opens the door is 4.5.

how do i find the area and the perimeter of the triangle

Answers

Answer:

Remember what a right triangle is. A right triangle is a triangle that has one right (90 degree) angle.

Recall the Pythagorean Theorem. The Pythagorean Theorem tells us that for any right triangle with sides of length a and b, and hypotenuse of length c, a2 + b2 ...

Look at your triangle, and label the sides "a," "b," and "c". Remember that the longest side of the triangle is called the hypotenuse.

Step-by-step explanation:

The image of the point (-5, 1) under a translation is (-6,3). Find the
coordinates of the image of the point (2, -3) under the same translation.

Answers

Answer:

The coordinates are (1,-1).

Step-by-step explanation:

The image of the point (-5, 1) under a translation is (-6,3).

Point x was -5 and now is -6, and y was 1 and now is 3. Thus, the transaction rule is:

(x,y) -> (x - 1, y + 2)

Find the coordinates of the image of the point (2, -3) under the same translation.

(2,-3) -> (2-1, -3 + 2) = (1,-1)

The coordinates are (1,-1).

What is the effective rate of interest if $1,000 compounds to $1,331 in 3 years?
The effective rate of interest, if $1,000 compounds to $1,331 in 3 years is
%.

Answers

9514 1404 393

Answer:

  10%

Step-by-step explanation:

The compound interest formula is ...

  A = P(1 +r)^t

Filling in the given values, we have ...

  1331 = 1000(1 +r)^3

  1.331^(1/3) = 1 +r = 1.1 . . . . . divide by 1000, take the cube root

  r = 0.1 = 10% . . . . . . . subtract 1

The effective rate is 10% per year.

Find the equation of a circle that is centered at the origin and is tangent to the circle (x−6)^2+(y−8)^2=25

Answers

 

Center:  ( 6 , 8 )

Radius: 5

Answer:

[tex] x^2 +y^2 = 25 [/tex]

Step-by-step explanation:

Center of the required circle = (0, 0)

Center of the given circle = (6, 8)

Radius of the given circle = 5 units

Distance between the centers of both the circles

[tex] =\sqrt{(6-0)^2 +(8-0)^2} [/tex]

[tex] =\sqrt{(6)^2 +(8)^2} [/tex]

[tex] =\sqrt{36 +64} [/tex]

[tex] =\sqrt{100} [/tex]

[tex] =10\: units [/tex]

Since, required circle is tangent to the given circle with radius 5 units.

Therefore,

Radius of required circle = 10 - 5 = 5 units

Now, Equation of required circle can be obtained as:

[tex] (x - 0)^2 +(y - 0)^2 = 5^2 [/tex]

[tex] (x)^2 +(y)^2 = 25 [/tex]

[tex] x^2 +y^2 = 25 [/tex]

solve this inequality 2(4x+1)<3(2x-3)

Answers

Answer:

x<-11/2

Step-by-step explanation:

but don't trust me too much bestie

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