Select all the correct answers.Which two transformations preserve the side lengths and angles of the preimage? a reflection across line a stretch by a factor of 4 a dilation by a factor of 4 a translation to the right

Select All The Correct Answers.Which Two Transformations Preserve The Side Lengths And Angles Of The

Answers

Answer 1

Which two transformations preserve the side lengths and angles of the preimage:

Rotations and reflections both preserve a polygon's side lengths. Dilations and translations both preserve a polygon's angle measures.

A reflection across line will preserve the angles

A dilation by a factor of 4 will preserve the both

Hence the correct answer is Option A and D

Answer 2

Answer:

1: a translation to the right

2: a reflection across line m

Step-by-step explanation:

Select All The Correct Answers.Which Two Transformations Preserve The Side Lengths And Angles Of The

Related Questions

Is the point (11,37) on the graph of the function f(x) = 4x - 3?
Yes
No
It is impossible to determine

Answers

The point (11 , 37 ) does not lies in the given  function f(x) = 4x - 3. Since the values x , y does not satisfy the condition .

Explanation:

How to check whether the points satisfy the equation :

Choose x and solve the equation for y, or, to find points on the line y = mx + b. Select y and solve for x, to check a system of equations by substitution.Enter your x and y values into the original equations. Your answer is correct if both simplified expressions are true.

Given function, f(x) = 4x - 3

also given a point (11 , 37)

to check whether the given point satisfies the given function,

(x , y) = (11,37)

substitute values of x and y in the given function,

y = 4x - 3

37 = 4 x (11) - 3

37 = 44 -3

37 ≠ 41

∴ the given points (11,37 ) does not satisfy the given function

f(x) = 4x-3.

To learn more about linear equations refer to :

https://brainly.com/question/2030026

#SPJ13

About 9% of the population has a particular genetic mutation. 700 people are randomly selected.Find the standard deviation for the number of people with the genetic mutation in such groups of 700. Round your answer to two decimal places.

Answers

Given:

n = 700

p = 0.09

q = 1 - p = 0.91

The formula for standard deviation is:

[tex]σ=(npq)^{\frac{1}{2}}[/tex]

hence:

[tex]\begin{gathered} σ=(700\times0.09\times0.91)^{1/2} \\ σ=7.57 \end{gathered}[/tex]

ANSWER

σ ≈ 7.57

Which is the graph of the given function? ft=5sin3t

Answers

The graph is based on amplitude.

Given the function:

f(t) = 5sin3t

To draw the graph of above function.

The function g(t) = sin t is a periodic function with amplitude [tex]a_{0}[/tex] = 1 and period [tex]t_{0}[/tex] = 2[tex]\pi[/tex]

For our case, the 5 that multiplies g (t) increases the amplitude so that,

a = 5 x 1 = 5 and the 3 that multiplies the variable increases the period being t = 2[tex]\pi[/tex] x 1/3 = 2[tex]\pi[/tex]/3

What is Graph?

Graph is a mathematical representation of a network and it describes the relationship between lines and points. A graph consists of some points and lines between them. The length of the lines and position of the points do not matter. Each object in a graph is called a node.

See the graph in the bottom of explanation.

Hence, The graph is based on amplitude.

Learn more about Graph at:

https://brainly.com/question/16608196

#SPJ1

please help asap!a. if the input is -8, what is the output?b. if the output was 21, what was the input?

Answers

a) The output is 45

b) The input was -4

Here, we want to use the relationship between the input and the output to answer the questions

While x is our input, f(x) is given as our output

The relationship between the two is given as;

[tex]f(x)\text{ = -6x-3}[/tex]

a) Here, we have an input, and we want to get the output

To solve this, we just need to substitute the value of -8 for x in the relation

We have this as follows;

[tex]\begin{gathered} f(-8)\text{ = -6(-8)-3} \\ f(-8)\text{ = 48-3 = 45} \end{gathered}[/tex]

b) Here, we have the output, but we want to get the input

What this simply mean is that we are to find the value of x

We simply substitute 21 for f(x)

Thus, we have;

[tex]\begin{gathered} 21\text{ = -6x-3} \\ 21\text{ + 3 = -6x} \\ \\ -6x\text{ = 24} \\ \\ x\text{ = }\frac{24}{-6} \\ \\ x\text{ = -4} \end{gathered}[/tex]

11 Evaluate d-fif d = 7 and f = -15.

Answers

d - fif

d —> 7 and f —> -15

7 - (-15)i (-15)

now simplify to get

7 - 255i

A plane rises from take-off andflies at an angle of 18with thehorizontal runway. When it hasgained 200 feet, find thedistance that the plane hasflown.

Answers

Answer:

647 ft

Explanation:

Given the below figure;

To determine the value c, we have to take the sine of angle 18 degrees as seen below;

[tex]\begin{gathered} \sin18=\frac{opposit\text{e side to angle 18}}{hypotenuse\text{ to angle 18}}=\frac{200}{c} \\ \sin18=\frac{200}{c} \end{gathered}[/tex]

Let's cross multiply;

[tex]c*\sin18=200[/tex]

Let's divide both sides by sin 18;

[tex]\begin{gathered} \frac{c*\sin18}{\sin18}=\frac{200}{\sin18} \\ c=\frac{200}{\sin18} \\ c=647ft \end{gathered}[/tex]

So the distance the plane has flown is 647 ft

to complete the square for the equation, x²+6x-2=0, you will have to add ___ to both sides ⚪ 3⚪ 6⚪ 9⚪ 12

Answers

Simplify the equation.

[tex]\begin{gathered} x^2+6x-2=0 \\ x^2+2\cdot3\cdot x-2+(3)^2=0+(3)^2 \\ (x+3)^2=9+2 \\ (x+3)^2=11 \end{gathered}[/tex]

Thus to complete the square 9 is added to both side of the equation.

Answer: 9

Between 6pm and 7pm, 5 mystery novels, 3 non-fiction books, 7 picture books, and 2 science fiction novels were returned to the library. What is the experimental probability that the next book returned to the library is a picture book?

Answers

If you add 5+3+7+2 you'd get 17 an 7 out of the 17 books were picture books so the 7/17 is the probability that the next returned book is a picture book. Hope this helps!

Notebook paper is approximately 0.004 in. thick. Using the formula for the width W, determine how wide a square piece of notebook paper would need to be successfully fold it in half 13 times , alternating horizontal and vertical folds.

Answers

The question has already provided a formula to determine the width (W). The question also provides the thickness as well as the number of times (n) the paper would be folded. Hence, we have;

[tex]\begin{gathered} W=\pi\times T\times2\frac{3(n-1)}{2} \\ W=3.14\times0.004\times2\times\frac{3(13-1)}{2} \\ W=0.02512\times\frac{3(12)}{2} \\ W=0.02512\times18 \\ W=0.45216\text{ inches} \end{gathered}[/tex]

The notebook paper would have to be 0.45216 inches wide

The formula has also been provided that would help in calculating the length of a long rectangular piece of paper. We've been given the thickness of the paper and the number of times it (n) it would be folded. Therefore, we now have;

[tex]\begin{gathered} L=\frac{\pi T}{6}(2^n+4)(2^n-1) \\ L=\frac{3.14\times0.002}{6}(2^{12}+4)(2^{12}-1) \\ L=0.00104667(4096+4)(4096-1) \\ L=0.00104667(4100)(4095) \\ L=17573.066\text{ inches} \end{gathered}[/tex]

A plane flies 452 miles north andthen 767 miles west.What is the angle of theplane's resultant vector?Hint: Draw a vector diagram.[?]

Answers

see the figure below to better understand the problem

we have that

tan(x)=452/767

simplify completely: 3b2 – 75 / 3b2 – 27b + 60

Answers

Answer:

[tex]\frac{(b+5)}{(b-4)}[/tex]

Step-by-step explanation:

[tex]\frac{3b^{2}-75}{3b^{2}-27b + 60}[/tex]

[tex]\frac{3(b^{2}-25)}{3(b^{2}-9b + 20)}[/tex]

Simplify numerator:

where [tex](b^{2} -25) = (b-5)(b+5)[/tex]

[tex]\frac{3(b-5)(b+5)}{3(b^{2}-9b + 20)}[/tex]

Simplify denominator:

looking at [tex]b^{2} - 9b + 20[/tex]

where a = 1

b = -9

and c = 20

We are looking for two numbers that sum to -9 and multiply to 20:

-5 + (-4) = -9

-5 * (-4) = 20

so [tex]b^{2} -9b+20 = (b-5)(b-4)[/tex]

insert into denominator:

[tex]\frac{3(b-5)(b+5)}{3(b-4)(b-5)}[/tex]

remove: 3(b-5) from numerator and denominator:

[tex]\frac{(b+5)}{(b-4)}[/tex]

A professor has students keep track of the social interactions for a week the number of social interactions over the week and selling in the following group frequency distribution how many students had at least 60 social interactions for the week?

Answers

For at lest 60 social interaction:

So social interaction is:

60 - 64 4

65 - 69 3

70 - 74 0

75 - 79 4

So student of these social interaction is:

[tex]\begin{gathered} =4+3+0+4 \\ =11 \end{gathered}[/tex]

So total 11 students had at lest 60 social interaction.

Write a number sentence that results in the sum or difference of zero.

Answers

Answer:

5x + 3 = 0

OR

35*35 /35 -35

hope this helps

Find the distance between these two points(-5,3) (-2,-3)

Answers

Answer: The distance between the two points is √45 units

Explanations:

Let the first pont be P (-5, 3)

[tex]x_1=-5,y_1=\text{ 3}[/tex]

Let the second point be Q (-2, -3)

[tex]x_2=-2,y_2=\text{ -3}[/tex]

The distance between two points is given by the equation:

[tex]\begin{gathered} PQ\text{ = }\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\ \text{Substituting the values of x}_1,y_1,x_2,y_2\text{ into the given equation } \\ PQ\text{ = }\sqrt{(-2-(-5))^2+(-3-3)^2} \\ PQ\text{ = }\sqrt{(-2+5)^2+(-6)^2} \\ PQ\text{ = }\sqrt{(3)^2+(-6)^2} \\ PQ\text{ = }\sqrt{9+36} \\ PQ\text{ = }\sqrt{45} \end{gathered}[/tex]

The distance between the two points is √45 units

Find the smallest Distinct positive numbers that provide a counter example to show the statement is false.The sum of any two different odd numbers is divisible by 4.

Answers

Answer:

The counter example is:

[tex]2+4=6[/tex]

Explanation:

We want to show that the statement "The sum of any two different odd numbers is divisible by 4" is false.

We need to use the smallest positive numbers. T

Suppose a basketball player has made 273 out of 385 free throws. If the player makes the next 3 free throws, I will pay you $27. Otherwise you pay me $16. Step 2 of 2 : If you played this game 891 times how much would you expect to win or lose?

Answers

By probability, If you played 891 times, you expect to lose $16.

Total Possible Throws = 385

Number of throws = 273

Let P(T) be the Probability that the player makes the next throw

P(T) = 273 / 385

The probability that the player makes the next three throws is then given by:

= P(T) × P(T) × P(T)

= 273 / 385 × 273 / 385 × 273 / 385

= (273 / 385)²

= 0.35653794139

= 0.357

Let P(T') be the probability the player doesn't make the next two throws

P(T') = 1 - P(T)

P(T') = 1 - 0.357

P(T') = 0.643

The expected gain for the player turns is given by:

(Probability of making both throws) * $27 + (Probability of NOT making both throws) x ( - $16 )

= 0.357 × $27 - 0.643 × $16

= $9.639 - $10.288

= - $0.649

b.

The probability that he makes the next 891 throws.

= P(T)⁸⁹¹

= (273/385)⁸⁹¹

Let P(T') be the probability the player doesn't make the next three throws

P( T' ) = 1 - P( T )

P( T' ) = 1 - 19.449493e-134

P( T' ) = 1

The expected gain or loss for the player turns is given by:

(Probability of making all 626 throws) * $5 + (Probability of NOT making all 626 throws) x (-$10)

= (273/385)⁸⁹¹ × 27 + 1 × - 16

= - $16

Learn more about probability here:

brainly.com/question/13604758

#SPJ1

The flight of a fireworks rocket is given by the function: h(t)= -16t^2 + 84t+5 Where h(t) is the height in feet and t, the time in seconds. How long will the rocket take to reach its maximum height?Round your answer to 2 decimal places.

Answers

Given:

The flight of a fireworks rocket is given by the function:

[tex]h(t)=-16t^2+84t+5[/tex]

Required:

How long will the rocket take to reach its maximum height?

Explanation:

We will first find critical points

[tex]\begin{gathered} h^{\prime}(t)=-32t+84 \\ \text{ Now, put }h^{\prime}(t)=0 \\ t=\frac{21}{8} \\ \text{ At }t=\frac{21}{8}\text{ we get stationary points.} \end{gathered}[/tex]

To check maximum and minimum value

[tex]\begin{gathered} h^{\prime}^{\prime}(t)=-32(<0) \\ \text{ At }t=\frac{21}{8}\text{ the function is maximum.} \end{gathered}[/tex]

Asnwer

find the value or measure. Assume all lines that appear to the tangent are tangent. mJH=

Answers

From the arc-angle relationship

By comparing both pictures, we have that

[tex]55=\frac{76+mJH}{2}[/tex]

now, we must isolate MJH, hence we have

[tex]\begin{gathered} 76+\text{mJH}=2\cdot55 \\ 76+\text{mJH}=110 \end{gathered}[/tex]

and we must move 76 to the right hand side as -76, this gives

[tex]\begin{gathered} \text{mJH}=110-76 \\ \end{gathered}[/tex]

Finally, mJH is 34.

What is the value of x? R x+820 P Q

Answers

Since we're working on a circumference, the sum of all the angles must be 360°

This way,

[tex]85+3x+73+x+82=360[/tex]

Solving for x :

[tex]\begin{gathered} 85+3x+73+x+82=360 \\ \rightarrow240+4x=360 \\ \rightarrow4x=120 \\ \rightarrow x=\frac{120}{4} \\ \Rightarrow x=30 \end{gathered}[/tex]

Newton's law of cooling is T = AeW! + C, where is the temperature of the object at time t, and is the constant temperature of the surrounding medium. Supposethat the room temperature is 73, and the temperature of a cup of coffee is 174' when it is placed on the table. How long will it take for the coffee to cool to 131" fork = 0.06889192 Round your answer to two decimal places.

Answers

Solution

We are given the equation

[tex]T=Ae^{-kt}+C[/tex]

Room temperature, C = 73 degrees

Temperature at time t = 0, is T = 174 degrees

[tex]\begin{gathered} T=Ae^{-kt}+C \\ 174=Ae^0+73 \\ 174=A+73 \\ A=174-73 \\ A=101 \end{gathered}[/tex]

Therefore, the equation becomes

[tex]T=101e^{-kt}+73[/tex]

We want to find t = ?, when T = 131 degrees and k = 0.0688919

[tex]\begin{gathered} T=101e^{-0.0688919t}+73 \\ 131=101e^{-0.0688919t}+73 \\ 131-73=101e^{-0.0688919t} \\ 58=101e^{-0.0688919t} \\ e^{-0.0688919t}=\frac{58}{101} \\ e^{-0.0688919t}=\frac{58}{101} \\ -0.0688919t=ln(\frac{58}{101}) \\ t=-\frac{1}{0.0688919}ln(\frac{58}{101}) \\ t=8.051418328 \\ t=8.05minutes\text{ \lparen to two decimal places\rparen} \end{gathered}[/tex]

Therefore, the answer is

[tex]8.05minutes[/tex]

what is the mathematical expression of “the sum of a number x and three”

Answers

Answer: X + 3

Step-by-step explanation:

Sum hints as to an addition statement and it specifies a variable X and the number 3 so the expression would be X + 3.

SUM MEANS ADDITION

HERE IT MEANS THE ADDITION OF x and 3

written as

[tex]x + 3[/tex]

HOPE THIS HELPS

The radius of a can is (3x^2-10). The height of the can is 2x. What is the surface area of a label that would be glued around the can?

Answers

Given:

The radius of a can is (3x^2-10). The height of the can is 2x.

To find:

The surface area of a label that would be glued around the can.

Solution:

It is known that the curved surface area of the cylinder is given by:

[tex]\text{CSA}=2\pi rh[/tex]

So, the curved surface area of the given cylinder is:

[tex]\begin{gathered} \text{CSA}=2\pi(3x^2-10)(2x) \\ =2\pi(6x^3-20x) \\ =\pi(12x^3-40x) \end{gathered}[/tex]

Thus, the answer is given above.

Marla has 578 yards of fabric. She makes a jacket with 334 yards. DoesMarla have enough fabric left to make the same jacket for her friend?

Answers

Solution:

Given that Maria has 5 7/8 yards of fabrics, and she makes a jacket with 3 3/4 yards, this implies that the amount of fabric left after making her own jacket is evaluated as

[tex]\begin{gathered} 5\frac{7}{8}-3\frac{3}{4} \\ converting\text{ the mixed fractions into improper fractions, we have} \\ \frac{47}{8}-\frac{15}{4} \\ =\frac{47-30}{8} \\ =\frac{17}{8} \\ converting\text{ the improper fraction to a mixed fraction, we have} \\ =2\frac{1}{8} \end{gathered}[/tex]

Since she is to make the same jacket for her friend, she requires another

[tex]3\frac{3}{4}\text{ yards of fabrics}[/tex]

But the amount of fabric left after Maria has made her own jacket is

[tex]2\frac{1}{8}\text{ yards}[/tex]

Hence, Maria does not have enough fabric left for her friend.

In 2-3 well crafted sentences, explain how to determine if a quadratic trinomial is factorable or not.

Answers

The quadratic equation is factorizable if the result of the discriminant gives a perfect square. This is a kind of a perfect square test

How do you know if a quadratic equation is factorizable?

We know that a quadratic equation is factorizable by the use of the discriminant. The discriminant is something that could tell us about the character of the quadratic equation.

We know that the discriminant is the square root of b^2 - 4ac. If the result of this operation is a perfect square, then we can know that the equation as we have it in any particular situation is factorizable.

Learn more about discriminant:https://brainly.com/question/15884086

#SPJ1

the area of a rectangle is[tex]2x ^{2} - 7x - 4[/tex]if the area is 45, what is the positive value for x

Answers

The given expression is,

[tex]2x^2-7x-4=45[/tex]

As the area is equal to 45 and equating the areas.

[tex]\begin{gathered} 2x^2-7x-49=0 \\ x=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a} \\ \text{ =}\frac{\text{7}\pm\sqrt[]{49+4\times2\times49}}{2\times2} \\ =\frac{7\pm21}{4} \\ =7 \end{gathered}[/tex]

(taking positive values)

The answer is 7

Jenny wants to build a square deck that is attached to the back of her house.Because the deck will be square, each side of it will be equal in length to the back ofJenny's house. When Jenny's deck is finished, its area will be 324 ft? What is the lengthof the back of Jenny's house?

Answers

Jenny's deck is a square deck and has a side length equal to that of the back of Jenny's house. The area of a square of length L is;

[tex]A=L^2[/tex]

Thus, we have;

[tex]\begin{gathered} L^2=324ft^2^{} \\ L=\sqrt[]{324} \\ L=18ft \end{gathered}[/tex]

Therefore, the length of the back of Jenny's house is 18 feet.

If lines a and b are parallel, what is the value of x?

Answers

Answer:   60  (choice D)

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

Explanation:

Let y be the angle just to the left of angle x. Angle x and angle y are adjacent.

Since line a is parallel to line b, this means y = 120 because the 120 degree angle and angle y are alternate interior angles.

Then we can say:

x+y = 180

x+120 = 180

x = 180-120

x = 60

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

An alternative method:

Let w be the angle just above angle x

The angle marked "120 degrees" and angle w are corresponding angles. They are congruent if and only if line a is parallel to line b.

This makes w = 120

Solving w+x = 180 leads to x = 60 similar to the previous set of steps.

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

Side note:

The 115 degree angle is never used. It was probably put in there as a distraction.

Simplify the following fraction: \frac{16}{18}
18
16

Answers

The simplest form of the fraction 18/16 is 9/4.

Fraction:

A fraction is a number that represents part of a whole.

A fraction is written in the form p/q, where q ≠ 0.

Given,

There has been given a fraction 18/16, that has to be simplified.

The steps to simplifying fractions,

First, we have to find the GCD (or HCF) of numerator and denominator

GCD of 16 and 18 is 2

Now we have to divide both the numerator and denominator by the GCD

16 ÷ 2

18 ÷ 2

Now we get the reduced fraction as, 8/9.

Therefore, 16/18 simplified to lowest terms is 8/9.

To know more about Fraction here.

https://brainly.com/question/10354322

#SPJ1

Find the solution(s) to x2 - 16x + 64 = 0.O A. x= -2 and x = 32O B. x = 8 and x= -8O C. x = 8 only7O D. x = 4 and x = 16

Answers

Given:

Given the quadratic equationt

[tex]x^2-16x+64=0[/tex]

Required: Solution to the quadratic equation

Explanation:

Write the quadratic equation as

[tex]\begin{gathered} (x-8)^2=0 \\ \implies x-8=0 \\ \implies x=8 \end{gathered}[/tex]

Option C is correct.

Final Answer: The solution t the squadratic equation is x = 8 only.

in how many ways can 9 people stand in a line

Answers

9 ways. That’s the awnser
Other Questions
You want to build a deck in your back yard. The deck will be 14 feet long and 12 feet wide. If you will put railing along all four sides of the deck, how many feet of railing are needed?A) 26 feetB) 38 feetC) 52 feetD) 104 feet 18 = v + 12WILL MARK BRAINLIEST If y varies directly as x, and y is 48 when x is 6, which expression can be used to find the value of y when x is 2?48O y - 3 (2)O y = 4g (2)(48)(B)O y--(48)(6) List and number five explicit ways to address the issue of undocumented immigration to the US. Our immigration system is broken! How can we fix it to be fair and human for people who fleeing their countries wishing to enter the United States. Be precise with your recommendations, do not be vague or general. Be as clear-cut as possible. which of the following is a nonpoint source of water pollution? group of answer choices a sewage treatment plant an electric power plant a factory an active or inactive coal mine a logged forest If the U.S. was successful in being the first country to colonize the planet Saturn, would it be acceptable for us to establish laws similar to the ones found in our country? Why or why not? What are three ways the colonies showed signs of religious freedom? 1. How much work have you done if you lift a block with 10 Newtons of force, and place it on a ledge 2 meters high? Brand A has a recognition value worth 43$ billion more than brand B. If the total value of these two brands is 107$ billion, find the value of each of the brands. If you want to use evidence found on computers, networks, and other devices to help solve crimes, then which of the following careers is a match for you?a. Digital forensicsb. Web analyticsc. Data scientistd. Security specialist A marine biologist is preparing a deep-sea submersible for a dive. The sub stores breathing air under high pressure in aspherical air tank that measures 63.0 cm wide.The biologist estimates she will need 5300. L of air for the dive. Calculate the pressure to which this volume of air must becompressed in order to fit into the air tank. Write your answer in atmospheres. Round your answer to 3 significant digits.X5 ?EdoloAr184 a form of database design which maps conceptual requirements is called From the list below, which is NOT produced during the Krebs cycle?A. NADHB. ATPC. FADH2D. CO2E. NADPH Select all the equations that have the same solution as 2x 5 = 15. A: 2x = 10 B: 2x = 20 C: 2(x 5) = 15 D: 2x 20 = 0 E: 4x 10 = 30 F: 15 = 5 2x Witch ideas from the excerpt would be most appropriate to include in a summary? Select threee options Suppose n represents an integer. Then the next integer can be represented by the expression n+1. Write a linear expression that represents the sum of any two consecutive integers. Then use the expression to make an argument about whether the sum of any two consecutive integers is even or odd. Explain your reasoning. Solve for x and then give the mG?Enter your answer in the box. What were the primary causes of the french revolution? select four options. lack of representation for the lower classes the establishment of a state religion oppressive leadership high taxes on the lower class high rates of poverty Max loves fishing. He and his family chartered a fishing boat that left Florida and traveled towards the Bahama Islands at an average speed of 10 km/hour. Some time later a cruise ship left traveling in the same direction but at an average speed of 14 km/hour. After traveling for ten hours the cruise ship caught up with the fishing boat. How long did the fishing boat travel before the cruise ship caught up? The table shows a proportional relationship.x 1 2 3y 12 24 36Write an equation that represents the proportional relationship.