The positive difference between the greatest possible perimeter and the least possible perimeter of a parallelogram with three vertices at specific points can be calculated.
The greatest possible perimeter of the parallelogram occurs when the fourth vertex is at the farthest distance from the given three vertices. In this case, the fourth vertex would be the reflection of point A across the line formed by points B and C. By finding the distance between the three given vertices and the reflection of point A, we can determine the maximum perimeter.
The least possible perimeter of the parallelogram occurs when the fourth vertex is at the closest distance to the given three vertices. In this case, the fourth vertex would be the reflection of point A across the line formed by points B and C. By finding the distance between the three given vertices and the reflection of point A, we can determine the minimum perimeter.
The positive difference between the greatest possible perimeter and the least possible perimeter can be obtained by subtracting the minimum perimeter from the maximum perimeter. This value represents the range of possible perimeters for the parallelogram based on the given three vertices.
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- 1973 + 93.c? + 27x – 486
Submit Question
Answer: 93c+27x−2459
Step-by-step explanation:
"The more miles a person runs, the more calories the person burns."
Which scatter plot supports this statement?
Answer:
D
Step-by-step explanation:
every time the mile increases he burns more calories you can see that when you look at it closely
Simplify: 10x^2y^3/2xy
Answer:
5xy^2
Step-by-step explanation:
29minutes after 6:45
Answer:
Step-by-step explanation:
29 minutes after 6:45 is 7:14
2. State the domain and range of the relation shown. Is the relation a function?
Y=3x+1
Answer:
Domain: \((-\infty, \infty)\)Range: \((-\infty, \infty)\)The relation is a function.Step-by-step explanation:
The domain and range of all linear functions is the set of real numbers.
Stevens high school has 800 students every Wednesday 3% of the students stay after for chess club how many students attend chess club on Wednesdays
Answer: To find out how many students attend chess club on Wednesdays, we need to calculate 3% of the 800 students at Steven's high school. To do this, we multiply the number of students by 3% (which is equivalent to 0.03):
800 x 0.03 = 24
So, 24 students attend chess club on Wednesdays.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Write a quadratic equation that has two solutions,0 and -2. Leave the polynomial in the equation infactored form.
Hello!
We can use the formula below to write a quadratic equation in the factored form, as we know the roots of it:
\((x-(x_1))\cdot(x-(x_2))=0\)Let me explain it:
We will invert the signal of each root and sum it to x. Then, we will multiply the terms.
Let's replace with the values:
\(\begin{gathered} (x-(0_{}))\cdot(x-(-2_{}))=0 \\ (x-0)\cdot(x+2)=0 \\ (x)\cdot(x+2)=0 \end{gathered}\)So, the equation in the factored form is (x) * (x+2) = 0.
In this problem you will solve the differential equation (x + 2)y" (10z)y' + y = 0. (1) By analyzing the singular points of the differential equation, we know that a series solution of the form yoz for the differential equation will converge at least on the interval (2) Substituting y = cinto (+2)y" − (10 − x)y' + y = 0, you get that [infinity] с n= 1 The subscripts on the c's should be increasing and numbers or in terms of n.
To solve the given differential equation, let's analyze the singular points and determine the series solution form.
Analyzing the Singular Points:
The given differential equation is (x + 2)y" - (10 - x)y' + y = 0.
To identify the singular points, we need to look for values of x where the coefficients in front of y" and y' become zero or infinite.
Coefficient in front of y": (x + 2)
Coefficient in front of y': (10 - x)
To find the singular points, we set each coefficient equal to zero and solve for x:
For (x + 2) = 0, we have x = -2.
For (10 - x) = 0, we have x = 10.
So, the singular points of the differential equation are x = -2 and x = 10.
Series Solution Form:
To find a series solution, we assume a solution of the form y(x) = Σ[ n=0 to ∞ ] cn(x - x0)n, where x0 is the singular point.Since we have two singular points, x = -2 and x = 10, we will consider two series solutions centered at each singular point.
For the singular point x = -2, we substitute y(x) = Σ[ n=0 to ∞ ] cn(x + 2)n into the differential equation:
(x + 2)y" - (10 - x)y' + y = 0
Substituting y(x) and its derivatives into the equation and collecting terms, we get:
Σ[ n=0 to ∞ ] cn[(x + 2)n+2 - (10 - x)(n+1)(x + 2)n] + Σ[ n=0 to ∞ ] cn(x + 2)n = 0
Now, we equate the coefficients of like powers of (x + 2) to zero:
For n = 0, c0[2 + 2] = 0, which gives c0 = 0.
For n ≥ 1, cn[(x + 2)n+2 - (10 - x)(n+1)(x + 2)n] + cn(x + 2)n = 0
Simplifying the above equation, we obtain:
cn[(x + 2)n+2 - (10 - x)(n+1)(x + 2)n + (x + 2)n] = 0
Since this equation must hold for all values of x, we can equate the coefficient inside the square brackets to zero:
(x + 2)n+2 - (10 - x)(n+1)(x + 2)n + (x + 2)n = 0
Solving this equation will give us the coefficients cn in terms of n.
Similarly, you can perform the same steps for the singular point x = 10 to find the coefficients cn for that series solution.
Note that finding the explicit form of the coefficients cn may involve solving recurrence relations or using other mathematical techniques depending on the specific equation obtained.
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Find three solution's to the linear equation 4x+y=20 using a table
Answer:
(-2, 28)
(-1, 24)
(0, 20)
Step-by-step explanation:
You can plug any numbers in for x, and solve for y.
Example: 4(-2) + y =20 multiply 4 and -2
-8 + y = 20 add 8 to both sides
y = 28
You can then do this for the rest of the numbers. Here is a table below:
The sum of two numbers is 9. The difference in their squares is also 9. Find the numbers.
Answer:
5 and 4
Step-by-step explanation:
4 + 5 = 9
25 - 16 = 9
Answer:
4 & 5 i think
Step-by-step explanation:
1+8=9
2+7=9
3+6=9
4+5=9
Let f (x, y) be a continuous function of x and y, which is independent of x, that is, f (x, y) = g(y) for some one-variable function g. Suppose that, .3 10 | g(x)dx = 10 J g(x)dx = 1 and Find f dA, where R is the rectangle 0sx<3,0sys 10 R
A continuous function is a function where small changes in the input result in small changes in the output, with no abrupt jumps or breaks in the function's graph.
Since f(x,y) is independent of x, we can write it as f(x,y) = g(y). We are given that the integral of g(x) from 0.3 to 10 is 1, so we can write:
∫0.3^10 g(x) dx = 1
Using this information, we can find g(y) by integrating g(x) with respect to x:
g(y) = ∫0.3^10 g(x) dx / ∫0^10 dx
g(y) = 1 / 9.7
Now, we can find f(x,y) by substituting g(y) into f(x,y) = g(y):
f(x,y) = g(y) = 1 / 9.7
We need to find the integral of f(x,y) over the rectangle R, which is:
∫0^3 ∫0^10 f(x,y) dy dx
∫0^3 ∫0^10 1 / 9.7 dy dx
(1 / 9.7) ∫0^3 ∫0^10 dy dx
(1 / 9.7) * 3 * 10
= 3.0928
Therefore, the value of the integral of f(x,y) over the rectangle R is 3.0928.
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How many permutations of the seven letters A, B, C, D, E, F, G do not have two consecutive vowels on the ends
The number of permutations without consecutive vowels at either end will be \(4560\)
Let \(X = \{A, B, C, D, E, F, G\}\)
Let \(Perm(X)=\{\text{All possible permutations of the elements of X}\}\)
Let \(V = \{A, E\}\)
Let \(Perm(\overline{V})= \{\text{All possible permutations of the consonants in X}\}\)
Permutations with consecutive vowels at either end will have one of the following forms
\(AE\overline{v} \text{ or } EA\overline{v} \text{ or } \overline{v}AE \text{ or } \overline{v}EA\\\text{for } \overline{v} \in Perm(\overline{V})\)
In all, we will have
\(4\times |Perm(\overline{V})|=4\times 5!\) permutations
So, the number of permutations without consecutive vowels at either end will be
\(|Perm(X)|-4\times|Perm(\overline{V})|=7!-4\times 5!=4560\)
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(7m^6 + 6) (7m^6 - 6)
Answer: 49m^12-36
Step-by-step explanation:
You'd multiply them :)
Simplify a/2b times bc/a
Answer:
\(\dfrac{c}{2}\)
Step-by-step explanation:
We can simplify the given expression by canceling like terms.
Remember that anything divided by itself is 1.
ex:
\(\dfrac{2x}{x} = 2 \cdot \dfrac{x}{x} = 2 \cdot 1 = 2\)
Applying this logic to the given expression:
\(\dfrac{a}{2b} \cdot \dfrac{bc}{a}\)
↓ simplify multiplication of fractions
\(\dfrac{a \cdot bc}{2b \cdot a}\)
↓ rewrite to align like variables
\(\dfrac{a \cdot b \cdot c}{a \cdot b \cdot 2}\)
↓ separate out variables that are divided by each other
\(\dfrac{a}{a} \cdot \dfrac{b}{b} \cdot \dfrac{c}{2}\)
↓ represent them as 1
\(1 \cdot 1 \cdot \dfrac{c}{2}\)
↓ rewrite without unnecessary 1's
\(\dfrac{c}{2}\)
Which of the following could be measured in meters? weight of a bag, height of a building,time it takes to reboil or temperature on a hot day
Answer:
Step-by-step explanation:
height of the building
Select all the true statements.
Answer:
option 2 , 3 & 5
Step-by-step explanation:
●m(3) = m(6) because they are alternative interior angles.
●m(1) & m(6) are supplementary because m(3) = m(6) (they are alternative interior angles.) And m(1) + m(3) = 180° ( they are linear pair ). So m(1) + m(6) = 180° . Hence they are supplementary.
● m(1) & m(3) are linear pair . So they will form a straight angle
What makes a function exponential?
If the variable appears as an exponent, then the function is exponential.
An exponential function is a function in which the variable (usually denoted by x) appears in an exponent.
For example, the function f(x) = 2ˣ is an exponential function because x is the exponent. Other examples of exponential functions include f(x) = 3ˣ and f(x) = (1/2)ˣ. These functions have the general form f(x) = aˣ, where a is a positive constant known as the base of the exponent.
Exponential functions have some unique characteristics that make them different from other types of functions. For example, they can grow very quickly, and their graphs tend to rise steeply and never touch the x-axis. They also have a horizontal asymptote at y = 0, which means that as x gets larger and larger in either direction, the function values approach but never quite reach 0.
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I need help with this problem please
Answer:
j = 2/3
Step-by-step explanation:
-1/3 = -1/2 j
Multiply each side by -2
-1/3 * -2 = -1/2 j * -2
2/3 =j
Answer:
j = 2/3
Step-by-step explanation:
-2/3 = -j
j = 2/3
I need help with 22 and 23! Asap! Please help!
Which scatter plot could have
A trend line with the equation below?
Y=x+4
Answer:
you're correct the second one
Step-by-step explanation:
determine the shape and explain what type of distribution the data has. 110, 107, 105, 108, 108, 107, 108, 105, 106, 87, 85, 88, 89, 92, 95, 96, 94, 95, 91, 90, 100, 99, 98, 97, 95, 92, 105
Answer:
it is right skewed
Step-by-step explanation:
So since the mean is bigger than the median it would be right skewed so everything going to the left
-5x(x+1)
simplify the answer
Answer:
\(-5x^2-5x\)
Step-by-step explanation:
\(-5x\left(x+1\right)\\\\-5x\left(x+1\right)=-5xx-5x\cdot \:1\\\\=-5xx-5x\cdot \:1\\\\=-5x^2-5x\)
Answer:
-5x^2 -5x
Step-by-step explanation:
-5x(x+1)
Distribute
-5x*x +-5x*1
-5x^2 -5x
Evaluate the integral. (Use C for the constant of integration.
∫9/(1 + t^2) I + te^(t^2)j +5√t k) dt
∫9/(1 + t²) I + te^(t²)j +5√t k dt = 9 tan^(-1)t I + e^(t²)/2 j +10/3 t^(3/2) k + C, where C = C₁ + C₂ + C₃ is the constant of integration
We are given the following integral: ∫9/(1 + t²) I + t e^(t²)j +5√t k dt.
We'll find the integral term by term using the fact that integration is a linear operator.
Thus,
∫9/(1 + t²) I dt = 9 tan^(-1)t + C₁ where C₁ is the constant of integration.
∫te^(t²)j dt = e^(t²)/2 + C₂ where C₂ is the constant of integration.
∫5√t k dt = 10/3 t^(3/2) + C₃ where C₃ is the constant of integration.
Therefore,
∫9/(1 + t²) I + t e^(t²)j +5√t k
dt = 9 tan^(-1)t I + e^(t²)/2 j +10/3 t^(3/2) k + C, where C = C₁ + C₂ + C₃ is the constant of integration.
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When a problem is said to be decidable or undecidable give an example of an undecidable problem?
Example of an undecidable problem is given by the problems in the system created by computer viruses.
What is decidable and undecidable problems?According to the computability theory, the problems that needs either yes or no answer, but it is not possible by any computer programming languages to create exact answer then this computational problem is termed as undecidable problems.
A decidable problem is a decision problem in the computer system that can be solved by an algorithm correctly.
When is a problem said to be decidable or undecidable?
whenever we find a problem for which there is no algorithm available for solve and we are also unable to create any program that can solve the problem exactly in finite time are declared as undecidable problems.
If we find a problem that ask yes or no question about some input and there is programming language available for responding correctly then this particular problem is declared as decidable.
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1. Determine the value of y for y = x -2
x 9 -1 5 -7 3
y ? ? ? ? ?
Please help! (It's called functional relationships by the way) Will mark brainliest (If you send any cutt or tyink links that are scams, I WILL REPORT YOU SO DON'T ANSWER IF U DON'T KNOW!!!!!!!)
Answer: The answer is 3
Step-by-step explanation:
Hope this helps you! Have a good day! :)
PLEASE HELP
Which of the following prime numbers is not a factor of the integer 330?
(1) 11
(3) 3
(2) 7
(4) 5
Answer:
3 not sure if you saw it Amazing the following statements best describes the role of yourself and God bless you and take care for you guys to paperwork
Answer:
its 7
Step-by-step explanation:
What is the measure of ZMJK in the figure below?
M
2
7
320
7
K
O A. 58
B. 64
O C. 32
O D. 60
O
E. 15°
F. Cannot be determined
.
Answer:
Angle MJK = 64°
Step-by-step explanation:
In ∆MJL & ∆LJK,
JL= JL ...(common side)
Angle JML = Angle JKL ....( each 90°)
MJ = JK ....( Both measures 7)
Hence, by SAS criteria, ∆ MJL = ∆ LJk
.°. by C.P.C.T , ∠MJL = ∠LJK = 32°
Also,
∠MJK = ∠MJL+∠LJK
∠MJK = 32°+32°
∠MJK = 64°Betsie is going to buy 250 envelopes.
Here is some information about the cost of envelopes in two shops.
Value World
Pack of 10 envelopes for £1.99
Buy 2 packs get 1 pack free
Letters2go
Pack of 25 envelopes for £3.19
Betsie wants to buy the envelopes for the best possible price.
Which shop should Betsie buy the 250 envelopes from?
You must show how you get your answer.
The shop for which Betsie should buy the 250 envelopes from, using proportions, is Value World.
What is a proportion?A proportion is a fraction of a total amount, and this fraction is used to build relations, using basic arithmetic operations such as multiplication or division, to obtain the desired measures.
In this problem, the final price is obtained as follows:
Divide the price by the number of packs to find the unit rate.Multiply the unit rate by 250.Hence the final price at Value World is given as follows:
1.99/10 = 0.119.
She will pay for 2/3 of the 250 packs, as she buys 2 and gets one free, hence:
2/3 x 250 x 0.119 = £19.83.
At Letters2go, the final price is obtained as follows:
3.19/25 x 250 = £31.90.
Due to the lower price, she should purchase her envelopes at Value World.
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__________ LANs are usually arranged in a star topology with computers wired to central switching circuitry that is incorporated in modern routers.
a) Mobile
b) Internet
c) Ethernet
d) Wireless
Ethernet LANs are usually arranged in a star topology with computers wired to central switching circuitry that is incorporated in modern routers.
Ethernet is a family of computer networking technologies that is used in LAN, metropolitan area networks (MAN), and wide area networks (WAN). It was first introduced in 1980 by Xerox Corporation, and later standardized by the Institute of Electrical and Electronics Engineers (IEEE) as IEEE 802.3.
Ethernet networks can be implemented in different topologies, such as a bus, star, or mesh topology. However, the most common topology for Ethernet LANs is a star topology, in which computers are wired to a central switching circuitry that is incorporated in modern routers. This allows for efficient communication between the computers on the network.In addition to LANs, Ethernet is also used for other networking applications such as Internet access, wireless networking, and broadband access. Overall, Ethernet is a widely used technology that has become an important component of modern computer networking.
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What is the mathmatical anwer for the equation 2+2
The Mathematical Answer of 2 +2 + is 4.
What is Addition?In math, addition is the process of adding two or more integers together. The numbers being added are known as addends, while the outcome of the addition process, or the final response, is known as the sum. It is one of the fundamental mathematical operations we employ on a daily basis.
Given:
we have to add 2 + 2.
So, adding is simply counting the number collectively
2 + 2 can be break as
= 1+ 1 + 1 +1
If we count we have 4 one then the addition of 2+ 2 is 4.
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