Answers
The description of isometry and transformations is as follows,
isometry mean A distance-preserving transformation between metric spaces is known as isometry, congruence, or congruent transformation.
What is transformations?The transformation, or f, is a function that maps to itself: X X. Following the transformation, the pre-image X transforms into the image X. Any or all of the operations like translation, rotation, reflection, and dilation can be used in this transformation. A function is translated by moving it in a particular direction, rotated by spinning it about a point, reflection by reflecting the function, and dilation by scaling it.
Isometry: If two distinct points, a and b, were to be mapped to the same point, then the coincidence axiom of the metric d would be violated. This proof is similar to the proof that an order embedding exists between partially ordered sets. Clearly, a topological embedding exists for each and every isometry between metric spaces.
A bijective isometry is a global isometry, isometric isomorphism, or congruence mapping. A global isometry, like any other bijection, has a function inverse. A global isometry is also the inverse of a global isometry.
Types of transformations;
Transformation of Reflection: The term "reflection" refers to the kind of transformation that takes place when every point in the shape is reflected over a line. The image is on the opposite side of the line from the pre-image but at the same distance from the line when the points are reflected over it. An image point (q,p) is reflected from each point (p,q).
Transformation of Rotation: Rotation is the transformation that rotates each point of the shape by a predetermined number of degrees around that point. When the number of degrees is positive, the shape rotates counterclockwise, and when the number of degrees is negative, the shape rotates clockwise.
Transformation of Translation: Sliding occurs when a 2-d shape is translated. Let's look at how the vertices of the blue and red figures are positioned in relation to one another in order to describe their relative positions. By comparing its position to the positions of A, B, and C, we must determine their positions.
Hence the basic description of transformation is as follows.
Learn more about transformations;
https://brainly.com/question/11709244
#SPJ1
Related Questions
What is the solution to this system of linear equations y − x 6 y x − 10?
Answers
The solution to the system of linear equations is (-8, -2).
NOTE: The problem that is solved here is, 'What is the solution to this system of linear equations? Y - x = 6, Y + x = -10'
The equations with two variables and the largest exponent order of 1 each have one, zero, or an infinite number of solutions, and are referred to as linear equations.
A linear equation with two variables has the conventional form ax + by + c = 0, where x and y are the variables.
Additionally, the answers can be expressed as ordered pairs, like as (x, y). The system of linear equations in two variables is graphically represented by two straight lines, which may intersect, be parallel, or be coincident.
y - x = 6 ----> y = x + 6
y + x = -10 -----> y = - x - 10
As both the equations in terms of y, we get
x + 6 = - x - 10
By further calculation
x + x = - 10 - 6
2x = - 16
Dividing both sides by 2
x = -8
Substituting the value of x in either of the equations
y - x = 6
y - (-8) = 6
So we get
y + 8 = 6
y = 6 - 8
y = - 2
Therefore, the solution to the system of linear equations is (-8, -2).
To know more about linear equations here:
https://brainly.com/question/21835898#
#SPJ4
The Hemlock Woolly Adelgid is an insect that has accidentally been released in Eastern U.S. forests from Asia. Since it has no natural enemies in the U.S., it is spreading rapidly. A forester studying the abundance of the insect in southern Vermont wants to determine if it has spread that far north. He randomly selects 200 hemlock trees in a large Vermont forest and finds that 46 of them show signs of damage from this insect. To which of the following groups of trees would it be appropriate to generalize the results of the study?
A. All hemlock trees in southern Vermont
B. All trees in southern Vermont
C. The 200 hemlock trees that were randomly selected
D. All hemlock trees in the U.S.
E. All hemlock trees in the forest from which the 200 trees were selected
Answers
Answer: E. All hemlock trees in the forest from which the 200 trees were selected
Step-by-step explanation:
When we generalize data, it needs to be about a sample that is as specific as possible so that the generalization has a better chance of holding true.
The best group of trees to generalize the data on is the trees in the forest where the hemlock trees were found. This is a specific population and has a higher chance of being right because the trees used in research could not have been the only ones suffering.
Plz help no links thank you
Answers
Answer:
58
Step-by-step explanation:
The sum of two interior angles in a triangle is equal to an exterior angle that is supplementary to the third interior angle
x + 56 = 114 subtract 56 from both sides
x = 58
Abraham ran 3.18 miles on Monday. On Tuesday, he ran 1.6 times further than he did on Monday. How many more miles did he run on Tuesday than on Monday?
Answers
1.908 miles Abraham run on Tuesday than on Monday.
How miles more miles he run on Tuesday than on Monday?Step 1
Monday he run 3.18 miles
Tuesday he run 1.6 times than Monday
how many more miles miles he run?
Step 2
3.18*(1.6-1)
1.6-1 is 1.6 times further than he did on Monday
Step3
3.18*(1.6-1)
=3.18*0.6
=1.908
he run on Tuesday than on Monday is 1.908
To learn more about Arithmetic refers to;
brainly.com/question/9661455
#SPJ1
Abraham ran 1.908 more miles on Tuesday than it was on Monday, based on the information provided.
Why is math referred to as arithmetic?The fundamental ideas in number theory, measurement, and computation are frequently referred to as "arithmetic" (which is derived from the Greek word "arithmos," "number") (that is, the processes of addition, subtraction, multiplication, division, raising to powers, and extraction of roots).
First, he ran 3.18 miles on Monday.
He ran 1.6 times more on Tuesday than on Monday.
how many kilometers did he run in total?
Step 2\s3.18*(1.6-1) (1.6-1)
One and a half times closer than he was on Monday at 1.6-1
Step3\s3.18*(1.6-1)\s=3.18*0.6\s=1.908
He ran 2.908 more on Tuesday than it does on Monday.
To learn more about Arithmetic refers to:
https://brainly.com/question/11559160
#SPJ1
Hurry please I’ll give you 20 points
Answers
The general rule is power of power. It can be represented by (x^m)^n = x^mn.
What is an exponent?
The way of representing huge numbers in terms of powers is known as an exponent. Exponent, then, is the number of times a number has been multiplied by itself.
Now complete the given table:
Problem to First repeated second repeated Power of
simplify multiplication multiplication the form of a^n
(2²)³ 2²×2²×2² 2×2×2×2×2×2 2⁶
(5³)⁴ 5³ × 5³ × 5³ × 5³ 5×5×5×5×5×5×5×5×5×5×5×5 5¹²
(7³)⁴ 7³ × 7³ × 7³ × 7³ 7×7×7×7×7×7×7×7×7×7×7×7 7¹²
((3x)²)³ (3x)²×(3x)²×(3x)² 3x×3x×3x×3x×3x×3x (3x)⁶
(4y²)³ (2y)²×(2y)²×(2y)² 2y×2y×2y×2y×2y×2y (2y)⁶
The general rule is (x^m)^n = x^mn. The name of the rule is power of power.
To learn more about power of power rule, click on the below link:
https://brainly.com/question/10578534
#SPJ1
please help me ♀️ im a tad bit slow-
Answers
9514 1404 393
Answer:
Michelle$5Step-by-step explanation:
The dollar value of the 20% coupon will increase if the discount is from a larger amount. Applying the $25 coupon first reduces the amount that the 20% applies to, so reduces the dollar value of the 20% coupon.
Michelle used the 20% coupon first, so its value was 20%($100) = $20.
Natasha used the $25 coupon first, so the value of the 20% coupon was ...
20%($100 -25) = 20%(%75) = $15.
Michelle paid $20 -15 = $5 less.
Write the expression as a unit rate.
Joyce painted 8 window frames in 5 hours while earning money for college.
What was her painting rate in window frames per hour?
What was her painting rate in hours per window frame?
Answers
joyce's painting rate in window frames per hour is 1.6 and her painting rate in hours per window frame 0.625.
What is the unit rate?A unit rate is a ratio between two separate units with one as the denominator. Examples include miles/hour, kilometers/hour, meters/sec, salaries/month, etc. The most fundamental and historically significant field of mathematics is arithmetic, which is also the one we use the most frequently in daily life.
Given, Joyce painted 8 window frames in 5 hours while earning money for college.
Her painting rate in window frames per hour is = 8 /5
Her painting rate in window frames per hour is = 1.6
Her painting rate in hours per window frame is = 5/8
Her painting rate in hours per window frame is = 0.625
therefore, The rate at which Joyce paints is 1.6 window frames per hour and 0.625 hours per window frame.
Learn more about the rate here:
https://brainly.com/question/29781084
#SPJ1
someone help ASAP!!
Answers
Answer:
Pretty sure is 90 degrees
Step-by-step explanation:
Answer:
[tex] {a}^{2} = {100}^{2} - {80}^{2} \\ {a}^{2} = 10000 - 6400 \\ {a}^{2} = 3600 \\ a = \sqrt{3600} = 60mi[/tex]
Dave is adding a new patio to the back of his house. The dimensions of the patio are shown below. If one bag of concrete mix will cover 50 square feet, how many bags of concrete will he need?
Answers
Answer:
Hence for a patio with Dimension
Length=12.5 feet
Width=9.5 feet
2.4 bags of concrete mix is needed
Step-by-step explanation:
The question is not complete, there is not attachment showing the dimension of the patio
Say the dimension of the patio is
Length=12.5 feet
Width=9.5 feet
Area= Length* Width
Area= 12.5*9.5
Area= 118.75 square feet
One bag of concrete mix will cover 50 square feet
Hence x bags will cover 118.75 square feet
cross multiply
50x= 118.75*1
x= 118.75/50
x= 2.4 bags
The image shows a quadrilateral inscribed in a circle. Select ALL true statements.
Answers
Answer:
c, d, e, g
Step-by-step explanation:
c. you already got it correct
d. since angle b is 100, arc AC must be two times that amount, which is 200
e. opposite angles of a quadrilateral are supplementary (adds up to 180). to find CDA, you have to do 180 minus 100 (which is the measure of angle B) to get 80
g. opposite angles of a quadrilateral are supplementary (adds up to 180). to find BCD, you need to do 180 minus 70 (which is the measure of angle A) to get 110
A student attempted to generate an equivalent expression using the distributive property, as shown below: 2(x + 5) = 2x + 5 What was the mistake made? (5 points) Group of answer choices 2 was not multiplied by x 2 was not multiplied by 5 Incorrect sign was used for the first term Incorrect sign was used for the second term
Answers
Answer:
2 was not multiplied by 5
Step-by-step explanation:
2(x + 5) = 2x + 5
The correct expansion form distributive property should be :
2(x + 5) = 2*x + 2*5 = 2x + 10
2(x + 5) = 2x + 10
The sum of two numbers is 36 twice the first number minus the second number is 6 find the numbers
Answers
Answer:
14, 22
Step-by-step explanation:
x+y = 36
2×x - y = 6
=> x = 36 - y
=> 2×(36 - y) - y = 6
72 - 2y - y = 6
-3y = -66
3y = 66
y = 22
=> x = 36 - 22 = 14
Help!!!!!! ASAP help
Answers
Answer:
A
Step-by-step explanation:
Notice that its y-intercept is (0,-5), so it crosses the y-axis at (0,-5)
Then, we notice that it is going doing from [-10,-2] and remains the same from[-2, 10]. Thus, the best choice is A
solve the system of equations by substitution
y = 2x + 1 and 3x + y = 16
Answers
Answer: y=7,x=3
Steps:
y = 2x + 1
3x + y = 16
Substitute y = 2x + 1
3x + 2x + 1 = 16
Simplify
5x+1=16
Isolate x for 5x + 1 = 16: x = 3
For y = 2x + 1
Substitute x = 3
y = 2 · 3 + 1
Simplify
y = 7
The solutions to the system of equations are:
y = 7, x = 3
Hope This Helps!
3x+5y= 8
2х - 5y = 22
Solve system of equations
Answers
Answer:
{x,y}={6,-2}
Step-by-step explanation:
System of Linear Equations entered :
[1] 3x + 5y = 8
[2] 2x - 5y = 22
Solve by Substitution :
// Solve equation [2] for the variable x
[2] 2x = 5y + 22
[2] x = 5y/2 + 11
// Plug this in for variable x in equation [1]
[1] 3•(5y/2+11) + 5y = 8
[1] 25y/2 = -25
[1] 25y = -50
// Solve equation [1] for the variable y
[1] 25y = - 50
[1] y = - 2
// By now we know this much :
x = 5y/2+11
y = -2
// Use the y value to solve for x
x = (5/2)(-2)+11 = 6
Graphic Representation of the Equations :
The answer should be: {x,y}={6,-2}
L) simplify
cos²x - sin²x
Answers
Answer:
cos(2x)
Step-by-step explanation:
To simplify the expression cos²x - sin²x, we can use the identity cos²x - sin²x = cos(2x).
This identity can be derived by using the double angle formula for cosine:
cos(2x) = cos(x + x) = cos(x)cos(x) - sin(x)sin(x) = cos²x - sin²x
Therefore, the expression cos²x - sin²x can be simplified to cos(2x).
Bonus: Mr. Rao is planning on making a shed in his backyard (see his plan in the image below). However, local laws require sheds to be at least 15 feet from the property lines. Describe how Mr. Rao should move his shed to comply with the laws. Be specific about the number of feet and the direction (north, south, east, west) that he should move the shed.
Answers
Answer:
North 10 feet, and East 5 feet.
Step-by-step explanation:
So we know that North is ^ way. We also know that East is > way.
These are the two directions we must go, since the property line is both South and West of the shed.
The shed is 10ft East of the property line, and we must be 15ft in that direction. So we must go another 5ft East.
Now, the shed is 5ft North of the property line, and we must be 15ft in that direction. So we must go another 10 feet North.
Hope this helps!
What is a rational number ?
Answers
Answer:
In mathematics, a rational number is a number such as −3/7 that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Every integer is a rational number: for example, 5 = 5/1. Therefore, 5 is a rational number
Step-by-step explanation:
If this helps please mark as brainliest
Answer:
SEE IMAGE FOR SOLUTION
Hope it helps
Have a great day
ttwo sides of a parallelogram are 390 feet and 350 feet. the measure of the angle between these sides is 52. find the area of the parallelogram to the nearest square foot.
Answers
Answer:
107,564feet
Step-by-step explanation:
Area of a parallelogram = absin theta
a and b are the measure of its sides
theta is the angle between the sides
Substitute
Area of a parallelogram = 390*350sin52
Area of a parallelogram = 390 * 275.8037
Area of a parallelogram = 107,563.467sq. feet
Hence the area of the parallelogram to the nearest feet is 107,564feet
Why will the speedup of a parallel algorithm will eventually reach some limit?
Answers
The advantages of adding additional processors will decrease as more are added because some portions are always still sequential, and eventually the speedup approaches a limit.
What is a parallel algorithm's speedup factor?The ratio of the compute time for the sequential method to the time for the parallel algorithm represents the speedup of a parallel algorithm over a matching sequential algorithm. n-fold speedup is what we refer to if the speedup factor is n. For instance, if a sequential approach needs 10 minutes to compute while a parallel algorithm needs just 2, then the speedup is 5 times.
The observed speedup is dependent on every aspect of the implementation. For instance, more processors frequently result in speedups that are greater; but, if other programmer are running on the processors concurrently with a programmer using a parallel technique, the speedup may be reduced by those other applications.
To know more about parallel algorithm visit: https://brainly.com/question/19378730
#SPJ4
what decimal is equivalent to 4/10
Answers
Answer:
0.4 is the answer
Step-by-step explanation:
4/10 = 0.4
hope it's helpful
What is the value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule?
Answers
The value of DX for solving simultaneous equations 3x 2y =- 11 and 7x 4y 9 by Cramer's rule is -13/5.
The general formula for Cramer's rule is
DX = detX/detA
Where detX is the determinant of the matrix formed by replacing the x-column of the original matrix with the constant column vector, and detA is the determinant of the original matrix.
For the given equations,
A = [3, 2; 7, 4]
X = [-11; -9]
Therefore,
detA = 3*4 - 2*7 = -10
detX = 3*(-9) - 2*(-11) = 13
Hence, DX = detX/detA = 13/-10 = -13/5
The value of DX for solving simultaneous
3x 2y =- 11 and 7x 4y 9 by Cramer's rule equation is -13/5.
Learn more about equation here
https://brainly.com/question/29657992
#SPJ4
PLEASE HELP! I’ll give brainliest (no links please)
Answers
Answer:
g(x)=2x^2
Step-by-step explanation:
Multiplying by a constant will stretch the graph as shown. The graph of g(x) appears to pass through (1,2), so g(x)=2x^2 is a reasonable guess (I can't see the answer choices).
5. Solve for x: (x-11)-5<(2x-11)+1
A. x>-6
B. X<-6
C. X<2
D. x>2
Answers
Answer:
A. x>-6
Step-by-step explanation:
x-11<2x-11+1+5
x-2x<-11+1+5+11
-x<6 (Now multiply by - )
x>-6
How to solve a function?
Answers
To solve a function, you must determine the value of the function for a given input. This requires finding the equation for the function and then plugging in the given input to find the output. For example, if the function is f(x) = x2 + 2x - 5, and the given input is 3, then the output of the function is f(3) = 12.
1. Substitute the given input, x = 3, into the equation.
2. Simplify the equation: f(3) = 32 + 2(3) - 5
3. Solve the equation: f(3) = 9 + 6 - 5
4. Simplify the equation: f(3) = 12
5. Therefore, the output of the function is f(3) = 12.
To solve a given function, you must first determine the equation for the function. Then, you must substitute the given input into the equation and solve it. In this example, the given input was 3 and the equation for the function was f(x) = x2 + 2x - 5. After plugging in the input of 3, the equation was simplified to f(3) = 9 + 6 - 5, which was further simplified to f(3) = 12. Therefore, the output of the function is f(3) = 12.
Learn more about function here
https://brainly.com/question/29633660
#SPJ4
Answer:
do it
Step-by-step explanation:
The table above gives values of the function f at selected values of x. Which of the following statements must be true
Answers
On solving the provided question, we can say that the function's value
[tex]limx→4+f(x)=6limx→4+f(x)=6[/tex]
What is function?The subject of mathematics includes quantities and their variations, equations and related structures, shapes and their locations, and places where they can be found. The term "function" refers to the relationship between a set of inputs, each of which has an associated output. A connection between inputs and outputs in which each input leads to a single, distinct result is known as a function. Each function is given a domain and a codomain, or scope. Usually, f is used to denote functions (x). input is an x. There are four main types of functions accessible. based on the following factors: on functions, one-to-one functions, many-to-one functions, inside functions, and on functions.
function's value will be -
limx→4+f(x)
=6limx→4+f(x)
=6
To know more about function visit:
brainly.com/question/28193995
#SPJ4
Complete question is: The table above gives values of the function fat selected values of [tex]$\mathrm{x}$[/tex]. Which of the following statements must be true?
[tex]$$\text { A } \lim _{x \rightarrow 2} f(x)=3$$[/tex]
[tex]$$B \lim _{x \rightarrow 2} f(x)=8$$[/tex]
[tex]C\ $\lim _{x \rightarrow 2} f(x)$ does not exist.[/tex]
[tex]D\ $\lim _{x \rightarrow 2} f(x)$[/tex] cannot be definitively determined from the data in the table.
Solve in simplest form
Answers
Answer:
2
Step-by-step explanation:
Find the value of StartFraction P (t) Over A EndFraction for this problem. StartFraction P (t) Over A EndFraction
Answers
The value of StartFraction P (t) Over A EndFraction for this problem will be 20
Take the value of x that they provide you and plug it into the problem for these kinds of difficulties.
The fraction's numerator is the highest number. It stands in for the entire thing that must be divided.
A fraction's denominator is the value at the bottom. It shows how many equally sized pieces are divided up in the object.
adding 3 to the formula:
6/(3) + 2(3)^2 —> use PEMDAS. Apply the 32 exponents first, followed by left-to-right multiplication and division, and finally addition.
6/x + 2x^2,
when x = 3
=20
learn more about start fraction
https://brainly.com/question/17112836
#SPJ4
The question the incomplete the full question:
What is the value of StartFraction 6 Over x EndFraction + 2x2, when x = 3?
Answer:
The second part is 0.8 and B. About 1,845 years.
Step-by-step explanation:
:)
What are the 3 possible solutions when solving a system of equations?
Answers
Three possible solutions when solving a system of equation are: one solution, no solution, and infinite solutions.
The 3 possible solutions of a system of equations are:
- Unique or one solution
- Infinite solutions
- No solution
In case of a system of linear equations, we can determine the type of its solution as follows:
- If the slopes are different, then their graphs will intercept in one point. Hence, the system of linear equation will have one solution.
- If the slopes are the same but the equation of the lines are different, the lines are parallel, hence they will not intercept. Therefore, there is no solution.
- If the linear equations are exactly (or can be transformed to exactly) the same equations, the solution is infinite.
Learn more about system of equations here:
https://brainly.com/question/12526075
#SPJ4
Answer to question first
Answers
Answer:
C. But be careful. It depends if you have been told what I was having trouble with.
Step-by-step explanation:
The question is a little unclear. If the actual interest is constant for all situations, the answer is C. The more times you compound, the more interest you will accumulate. Banks don't do it that way. It they compound every three months, then they cut the interest rate by a quarter.
So the interest would look like (1 + 0.022/4)*principle. Whoever made the question has to make clear what is going on. My guess is the intended answer is C.