How do you determine the scale factor of a dilation given the side lengths of the pre-image and image? 2. How can dilations help us solve real world problems? *​

Answers

Answer 1

Answer:

If you're scaling up from a smaller figure to a larger one, plug the lengths into the equation scale factor = larger length over smaller length. If you're scaling down from a larger figure to a smaller one, use the equation scale factor = smaller length over larger length.

Dilatation help us solve real world problems by allowing us to estimate the location that something has to be in or even if an object will fit or not.


Related Questions

The set of ordered pairs (–1, 8), (0, 3), (1, –2), and (2, –7) represent a function. What is the range of the function?
{x: x = –1, 0, 1, 2}
{y: y = –7, –2, 3, 8}
{x: x = –7, –2, –1, 0, 1, 2, 3, 8}
{y: y = –7, –2, –1, 0, 1, 2, 3, 8}

Answers

Hey!!!

Range={y:y=-7,-2,3,8}

The right answer is of option B.

Explanation:

Range

The set of second components or the set of elements of B are called the range.

Hope it helps...

Good luck on your assignment..

Stay safe....

Answer:

It is "B", on edge.

Step-by-step explanation:

hope it helps!

The vertex form of a quadratic function is f(x) = a(x - h)2 + k. What is the vertex of each function? Match the function rule with the coordinates of its vertex.

Answers

Answer:

For  [tex]f(x)=6(x-5)^2-9[/tex]   the vertex is: (5, -9)

For  [tex]f(x)=9(x+5)^2-6[/tex]  the vertex is: (-5, -6)

For  [tex]f(x)=5(x-6)^2+9[/tex]  the vertex is: (6, 9)

For  [tex]f(x)=6(x+9)^2-5[/tex]  the vertex is: (-9, -5)

For  [tex]f(x)=9(x-5)^2+6[/tex]  the vertex is: (5, 6)

Step-by-step explanation:

Let's identify the vertex pair [tex](x_v,y_v)[/tex] from each equation:

A)  [tex]f(x)=6(x-5)^2-9[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=-9[/tex] , that is: (5, -9)

B)  [tex]f(x)=9(x+5)^2-6[/tex]  corresponds to [tex]x_v=-5\,\,\,and\,\,\,y_v=-6[/tex] , that is: (-5, -6)

C)  [tex]f(x)=5(x-6)^2+9[/tex]  corresponds to [tex]x_v=6\,\,\,and\,\,\,y_v=9[/tex] , that is: (6, 9)

D)  [tex]f(x)=6(x+9)^2-5[/tex]  corresponds to [tex]x_v=-9\,\,\,and\,\,\,y_v=-5[/tex] , that is: (-9, -5)

E)  [tex]f(x)=9(x-5)^2+6[/tex]  corresponds to [tex]x_v=5\,\,\,and\,\,\,y_v=6[/tex] , that is: (5, 6)

The answer is (vertex (5,-9) and using Tex

Please help me I need this answer very bad (Picture Attached)​

Answers

Answer:

median                                              2nd was the answer

Step-by-step explanation:

In the figure, find m∠RST if m∠RSU = 81° and m∠UST = 18°. Answers : A) 109° B) 81° C) 99° D) 63°

Answers

Answer:

99 degrees

Step-by-step explanation:

measure angle RST= measure angle RSU+ measure angle UST

measure angle RST=81+18

measure angle RST=99 degrees

The measure angle RST is 99 degrees.

To find measure angle RST.

What is angle?

In Plane Geometry, a figure which is formed by two rays or lines that shares a common endpoint is called an angle and corner whether constituting a projecting part or a partially enclosed space.

Given that:

SU is angle bisector of <RST. So it can divide into 2 parts.

Measure angle RST= measure angle RSU+ measure angle UST

Measure angle RST=81+18

Measure angle RST=99 degrees

So, the measure angle RST is 99 degrees.

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When the determinant of the coefficient matrix of a system of equations does not equal zero, the system has _________ solution(s)?

Answers

Answer:

one solution

Step-by-step explanation:

it means when the denominator does not equal zero

Determine the root of the equation
f(x) = e2x- x-6 closet to the point 0.95
Leave
your answer to five decimal places

Answers

Answer:

0.97087

Step-by-step explanation:

Given the function:

[tex]f(x) = e^{2x} - x - 6[/tex]

Its first derivative is:

[tex]f'(x) = 2e^{2x} - 1[/tex]

Using Newton's method:

[tex]x_{n+1} = x_n - \frac{f(x_n)}{f'(x_n)}[/tex]

and starting with the point:

[tex]x_1 = 0.95[/tex]

we get:

[tex]f(x_1) = e^{2(0.95)} - 0.95 - 6 = -0.26410[/tex]

[tex]f'(x_1) = 2e^{2(0.95)} - 1 = 12.37178[/tex]

[tex]x_2 = x_1 - \frac{f(x_1)}{f'(x_1} = 0.95 - \frac{-0.26410}{12.37178} = 0.97134[/tex]

[tex]f(x_2) = e^{2(0.97134)}- 0.97134 - 6 = 0.00608[/tex]

[tex]f'(x_2) = 2e^{2(0.97134)} - 1 = 12.95485[/tex]

[tex]x_3 = 0.97134 - \frac{0.00608}{12.95485} = 0.97087[/tex]

[tex]f(x_3) = e^{2(0.97087)} - 0.97087 - 6 = -2.6240413 \cdot 10^{-7}[/tex]

Debbie is making an abstract painting with two triangles. The dimensions of the painting are shown below: Two triangles share the same height of 8 inches. One triangle has a base of 6 inches and the other is 10 inches. The total area of the two triangles is _____ square inches.

Answers

The entire figure could be taken as a trapezium

A=1/2h(a+b)

h=8, a=6 and b=10

A=1/2×8(6+10)

A=4×16

A=64sq Inch

Answer:

128 or 56

Step-by-step explanation:

(8 X 10) + (6 X 6)

 80       +      48 = 128

OR

No 10 eliminate it because it on the line

8 X (6 X 6) = 48 + 8 = 56

All of the following are equivalent to 3:8 = x : 32 except

8 : 3 = 32 : x
3 : x = 8 : 32
x : 8 = 3 : 32
8 : 32 = 3 : x

Answers

Answer:

8:3=32:x

Hope thos helps you

HURRY, I'M BEING TIMED ON STUDY ISLAND! On Saturday, the fruit and juice bar was selling 22 glasses of fruit punch an hour. By 3 p.m., they had sold 110 glasses. If their goal was to sell more than 264 glasses of fruit punch, which inequality can be used to find h, the number of hours they must stay open to make their goal?

Answers

Answer:

I say the inequality with the greater than or equal

Step-by-step explanation:

They want to reach there goal so it’s more or equal to

Carlo changed 800 euros into dollars for his holiday when the exchange rate was €1=$1.50. his holiday was cancelled he changed all his dollar back into euros and he received €750. find the new exchange rate​

Answers

Answer:

€800 = $1200

New exchange rate =

750/1200 = 1.6

Which expression is equivalent to 4(n + 5)?

Answers

Answer:

4n+20

Step-by-step explanation:

Which calculator correctly shows the quotient 6.47x10^-15/3.36x10^-29

Answers

1.92559524e+14

Step-by-step explanation:

6.47 x 10^-15 and 3.36 x 10^-29 are written in scientific notation. In this way, we have a quotient of two numbers written in scientific notation. To solve this problem, we have:

6.47/3.36 x 10^{[-15-(-29)]}=1.92559524 x 10^{(-15+29)}

Therefore 1.92559524 x 10^{14}  or 1.92559524e+14

1.92559254e+ 14 is the correct value of the given expression.

What are mathematical operations?

The term "operation" in mathematics refers to the process of computing a value utilizing operands and a math operator. For the specified operands or integers, the math operator's symbol has predetermined rules that must be followed. In mathematics, there are five basic operations: addition, subtraction, multiplication, division, and modular forms.

given a number  6.47x10^-15/3.36x10^-29

Solving this given number using PEMDAS

=> 6.47x10^-15/3.36x10^-29

=> (6.47 * 10⁻¹⁵) / (3.36 * 10⁻²⁹)

=> (6.47 / 3.36) * 10⁻¹⁵ ⁺ ²⁹

=> 1.92559254 * 10¹⁴

in Scientific notation:

=> 1.92559254e+ 14

therefore, the correct value of the given expression is 1.92559254e+ 14.

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The domain of f(x) is the set os all real numbers greater than or equal to 0 and less than or equal to 2. True of false

Answers

Answer:

True

Step-by-step explanation:

In Functions and Function Notation, we were introduced to the concepts of domain and range. In this section, we will practice determining domains and ranges for specific functions. Keep in mind that, in determining domains and ranges, we need to consider what is physically possible or meaningful in real-world examples, such as tickets sales and year in the horror movie example above. We also need to consider what is mathematically permitted. For example, we cannot include any input value that leads us to take an even root of a negative number if the domain and range consist of real numbers. Or in a function expressed as a formula, we cannot include any input value in the domain that would lead us to divide by 0.

Diagram of how a function relates two relations.

Figure 2

We can visualize the domain as a “holding area” that contains “raw materials” for a “function machine” and the range as another “holding area” for the machine’s products.

We can write the domain and range in interval notation, which uses values within brackets to describe a set of numbers. In interval notation, we use a square bracket [ when the set includes the endpoint and a parenthesis ( to indicate that the endpoint is either not included or the interval is unbounded. For example, if a person has $100 to spend, he or she would need to express the interval that is more than 0 and less than or equal to 100 and write

(

0

,

1

0

0

]

(0, 100]. We will discuss interval notation in greater detail later.

Let’s turn our attention to finding the domain of a function whose equation is provided. Oftentimes, finding the domain of such functions involves remembering three different forms. First, if the function has no denominator or an even root, consider whether the domain could be all real numbers. Second, if there is a denominator in the function’s equation, exclude values in the domain that force the denominator to be zero. Third, if there is an even root, consider excluding values that would make the radicand negative.

Before we begin, let us review the conventions of interval notation:

The smallest term from the interval is written first.

The largest term in the interval is written second, following a comma.

Parentheses, ( or ), are used to signify that an endpoint is not included, called exclusive.

Brackets, [ or ], are used to indicate that an endpoint is included, called inclusive.

The table below gives a summary of interval notation.

Summary of interval notation. Row 1, Inequality: x is greater than a. Interval notation: open parenthesis, a, infinity, close parenthesis. Row 2, Inequality: x is less than a. Interval notation: open parenthesis, negative infinity, a, close parenthesis. Row 3, Inequality x is greater than or equal to a. Interval notation: open bracket, a, infinity, close parenthesis. Row 4, Inequality: x less than or equal to a. Interval notation: open parenthesis, negative infinity, a, close bracket. Row 5, Inequality: a is less than x is less than b. Interval notation: open parenthesis, a, b, close parenthesis. Row 6, Inequality: a is less than or equal to x is less than b. Interval notation: Open bracket, a, b, close parenthesis. Row 7, Inequality: a is less than x is less than or equal to b. Interval notation: Open parenthesis, a, b, close bracket. Row 8, Inequality: a, less than or equal to x is less than or equal to b. Interval notation: open bracket, a, b, close bracket.

Look at the picture below. Urgent help please!!!!

Answers

X = about 11.5

Look at the image and I’ll be glad to explain more.

Answer:

x≅11.49 or x=2√33

Step-by-step explanation:

8^2+x^2=14^2

64+x^2=196

(subtract 64 from both sides)

x^2=132

(square root both sides)

x≅11.49

Mrs. Le has 40 markers for her art class. 20% of the markers are red. How many markers are red?

Answers

8 markers are red;
20%=0.2
40x0.2=8

Sorry wrong question delete this awnser

The letters of the word S U M M E R were placed in a bag. What is the probability of choosing an R?
3:6
5/6
33.3%
0.16

I'm asking it again cause I got an answer that had nothing in it!

Answers

Answer:

The answer is 3:6 for above probability

Which of the following are mathematical sentences? Check all that apply.
A. 5- V
B. 2 <3
c. 4 + 3 = 7
D. G

E. 7
F. 5-d = 9
Need help

Answers

C and F

....................

Answer:

B. 2 <3 and C. 4 + 3 = 7 and F. 5-d = 9

Which expression is equivalent to

Answers

Answer:

-8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

Brody and his brother Kael enter a race with a total of 30 runners. There will be prizes for the first three runners who cross the finish line. a) What is the probability that Brody finishes the race in the first place? Are your brother's chances of finishing the race in the first place better than Brody's? Justify your answer. b) What is the probability that Brody or Kael finish the race in the first place? c) How many ways can these 30 runners get in first, second, and third place? (NOTE: only part C asks for a permutation)

Answers

Answer:

hmm i think its answer B hope i helped :)

Step-by-step explanation:

A freight train is traveling at an average rate of 45 miles per hour. Which equation represents the situation?

Let h represent the hours traveled.
Let m represent the miles traveled.
m = 45h
h = 45m
m = 45 + h
h = 45 – m

Answers

Hi there!

The answer would be A. m = 45h

Hope this helps

Answer:

m=45h

Step-by-step explanation:

The independent variable here is h, the number of hours it traveled, and this determines m.

2. (08.01) Two lines, R and M, are represented by the following equations: Line R: 2x + 2y = 18 Line M: x + y = 9 Which statement is true about the solution to the set of equations? (4 points) It is (18, 9). It is (9, 18). There are infinitely many solutions. There is no solution.

WILL GIVE BRAINLIEST

Answers

Answer:

infinitely many solutions

Step-by-step explanation:

Given the 2 equations

2x + 2y = 18 → (1)

x + y = 9 → (2)

Equation (1) is twice (2)

Thus the equations are equal and will have infinite solutions

help someone please​

Answers

Answer:

C) [tex]1\frac{6}{100}[/tex]

Step-by-step explanation:

Hope this helps!

In order to solve 439-165 would I need to regroup to solve? If yes in what place? Why?

Yes, you need to regroup in the ________place because
______________________.

Answers

Answer:

Yes you would need to regroup in the tens place because 3 is less than 6.

Answer:

Yes you would need to regroup in the tens place because 3 is less than 6.

Have a great day

PLEASE HELP 1) A lake near the Arctic Circle is covered by a 2-meter-thick sheet of ice during the cold winter
months. When spring arrives, the warm air gradually melts the ice, causing its thickness to
decrease at a constant rate modeled by h(t) = 2 - 0.25t, where h(t) represents the thickness of
the sheet of ice and t represents the time in weeks.
a. What is the initial value of this function?

b. What is the rate at which the ice sheet is melting?

c. How thick will the ice sheet be after 3 weeks?

Answers

Answer:

a). 2 meters

b). 0.25 meters per week

c). 1.25 meters

Step-by-step explanation:

Thickness of the ice sheet on the lake = 2 meters

Thickness decreases with a constant rate and thickness is modeled by the function,

h(t) = 2 - 0.25t  [t = time or duration in weeks]

a). Initial value of this function will be it's y-intercept,

h(t) = 2 meters

b). Rate of the melting of this sheet  (slope of the line) = 0.25 meter per week

c). After 3 weeks or t = 3 weeks,

h(3) = 2 - 0.25 × (3)

      = 2 - 0.75

      = 1.25 meters

what is (3²-2³)⁶⁶ total​

Answers

Answer:

1

Step-by-step explanation:

(3²-2³)⁶⁶ = (9 - 8)⁶⁶ = (1)⁶⁶ = 1

(3²-2³)⁶⁶ total​ is 1

To evaluate (3²-2³)⁶⁶, we will first simplify the expression we have in the bracket before carrying out the power operation

From (3²-2³)⁶⁶

(3²-2³) can be simplified as shown below

= 3 × 3 = 9

and

= 2 × 2 × 2 = 8

∴ (3²-2³) = (9 - 8) = (1)

∴ (3²-2³)⁶⁶ becomes (1)⁶⁶

(1)⁶⁶ = 1

(NOTE: 1 raised to any power is 1)

Hence, (3²-2³)⁶⁶ total​ is 1

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Help!!due today help as quickly plz 3 and 4​

Answers

Answer and Step by Step explanation:

3. 7(1.5) + 2(4) + 3(6.5) + 5(7)

  = 10.5 + 8 + 19.5 + 45

  = 83 grams of salt

You look at the x-axis of the graph and that is the amount of grams of salt, and the dots represent one container. So you multiply the number of dots (containers) by the amount of grams (stated on the number line).

4. 83 x 2

  = 166 grams of salt

This is because you already solved how much one of each container would be in the last question (question 3), so you would just have to multiply it my 2 to get the answer.

What is the result of adding these two equations?
\begin{aligned} 5x-y &= 6 \\\\ -2x+y &= 8 \end{aligned}
5x−y
−2x+y


=6
=8

Answers

Answer:

the result of adding these two equations is

3x = 14

Step-by-step explanation:

We are given two equations

5x − y  = 6          eq. 1

−2x + y = 8        eq. 2

Add the like terms together

5x - 2x = 3x

− y + y = 0

6 + 8 = 14

So the result of adding these equations is

3x + 0 = 14

3x = 14

Bonus:

The value of x is

3x = 14

x = 14/3

Answer:

3x = 14

Step-by-step explanation:

It worked on khan

What is the m < FAB?

Answers

Answer:

∠ FAB = 75°

Step-by-step explanation:

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ FAB is an external angle, thus

13x - 3 = 3x + 2 + 55 = 3x + 57 ( subtract 3x from both sides )

10x - 3 = 57 ( add 3 to both sides )

10x = 60 ( divide both sides by 10 )

x = 6

Thus

∠ FAB = 13x - 3 = 13(6) - 3 = 78 - 3 = 75°

A deck of cards contains RED cards numbered 1,2,3,4,5, BLUE cards numbered 1,2,3, and GREEN cards numbered 1,2,3,4,5,6. If a single card is picked at random, what is the probability that the card is BLUE OR has an ODD number? Provide the final answer as a fraction.

Answers

Answer:

8/15

Step-by-step explanation:

15 options and 8 odd numbers

Answer: 9/14

Step-by-step explanation:

There are 3 blue cards, 3 odd numbered red cards, and 3 odd numbered green cards. 3 + 3 + 3 = 9

Red - R1, R2, R3, R4, R5

Blue - B1, B2, B3

Green - G1, G2, G3, G4, G5, G6

= A total of 14 cards

Answer = 9/14

(This answer is verified and was the correct answer in the program)

All identities are equations, and all equations are identities.
A. True
B. False

Answers

this is false not all equations and all equations are identities are same

Other Questions
Read the paragraph from "A Cat Is Not a Can of Soup" and observe the boldfaced evidence to support the main argument.Have you been thinking of getting a pet? Wait a minute before you rush down to a pet shop. Adopting a pet from the Ferndale Shelter is often a wiser move than buying one. However, many families hesitate to visit the shelter because they aren't aware of its advantages or have mistaken ideas about what they will find there.The main argument is that adopting a pet from the Ferndale Shelter is often a wiser move than buying one. Which best uses the evidence to evaluate the main argument?A.The argument is effective; the evidence explains why more families do not explore shelter adoption.B.The argument is effective; the evidence presents a valid argument.C.The argument is ineffective; the evidence presents an invalid argument.D.The argument is ineffective; the evidence explains why more families do not explore shelter adoption. Slope and point on line of the equation y - 6= 3(x-5) pls help I'm too lazy 20 points 10 pointsTwenty Year 7 students recorded the number of times in a week thatthey visited Wikipedia for information.10 7 4 5 6 5 9 7 6 87 7 5 5 6 8 8 7 108Find the modal number of visits.4 visitsO 5 visits6 visitsO 7 visits (26) The Earth's first atmosphere did NOT include which of the following?A) LightningC) OxygenE) RainB) UV radiationD) Volcanic discharge The FDA defines _ as any perishable food that consists in whole or in part of milk or milk products, eggs, meat,poultry, fish, shellfish, or other ingredients capable of supporting rapid and progressive growth of infectious or toxigenicmicro-organisms. The graph of y=54x+1 is shown below. The coordinate (0,y) is a solution of the equation. Given the x-value of 0, what is the value of the y-coordinate for the coordinate (0,y)? Rewrite as a simplified fraction.0.16 If the surface soil is saturated and precipitation increases, there will bea. a decrease in the amount of groundwater b. an increase in the rate of capillarity c. a decrease in the surface elevation of the lake d. an increase in the amount of runoff Chef Gordie uses 250 ml of broccoli in his Vitafibermin loaf. How many liters is that? What is the solution to the system of linear equations?5-4f(x)(3.0)(-3.3)(02)(3, 1)152.345432g(x)2--3 The difference between those graphs Japanese military leaders pushed for Japan to capture more territory inManchuria during the 1930s because they:A. thought the Chinese military was preparing for a full-scaleinvasion of Japan.B. wanted to take control over the huge population of ethnicallyJapanese people in the region.C. believed Manchurian resources could help Japan escape theGreat Depression.D. hoped to demonstrate their strength in order to secure an alliancewith the United States. Please someone help Please help me! What is the equation of the vertical line through (-5, -2)? How do you do this question What is the relationship between the solar nebula and the solar system? In what ways was the government of the Roman republic different from our government today? A wall clock has a second hand 22.0 cmcm long. For related problem-solving tips and strategies, you may want to view a Video Tutor Solution of Fast car, flat curve. Part A What is the radial acceleration of the tip of this hand The current sections of Pearl Corp.s balance sheets at December 31, 2021 and 2022, are presented here. Pearl Corp.s net income for 2022 was $279,400. Depreciation expense was $46,200. 2022 2021 Current assets Cash $68,200 $97,900 Accounts receivable 93,500 75,900 Inventory 85,800 68,200 Prepaid expenses 18,700 20,900 Total current assets $266,200 $262,900 Current liabilities Accrued expenses payable $6,600 $17,600 Accounts payable 96,800 79,200 Total current liabilities $103,400 $96,800Prepare the net cash provided (used) by operating activities section of the company's statement of cash flows for the year ended December 31, 2022 using the indirect method. Pearl Corp. Partial Statement of Cash Flows December 31, 2022 Cash Flows from Operating Activities Net Income 168,300 Adjustments to reconcile net income to Net Cash Provided by Operating Activities Depreciation Expense 29,700 Decrease in Accounts Receivable Decrease in Inventory Increase in Prepaid Expenses: Decrease in Accrued Expenses Payable Decrease in Accounts Payable Net Cash Provided by Operating Activities