Draw complete undirected graphs with 1, 2, 3, 4, and 5 vertices. How many edges does a a complete undirected graph with vertices, have
Answers
The number of edges in a complete undirected graph with n vertices can be found using the formula:
number of edges = (n * (n - 1)) / 2
Draw complete undirected graphs with 1, 2, 3, 4, and 5 vertices. How many edges does a a complete undirected graph with vertices, have
A complete undirected graph with n vertices is a graph in which each vertex is connected to every other vertex.
Here are the complete undirected graphs with 1, 2, 3, 4, and 5 vertices:
1 vertex:
o
This graph has 0 edges.
2 vertices:
o--o
This graph has 1 edge.
3 vertices:
o
/ \
o---o
This graph has 3 edges.
4 vertices:
o---o
/ \ / \
o---o---o
\ / \ /
o---o
This graph has 6 edges.
5 vertices:
o---o
/|\ /|\
o-+-o-+-o
\|/ \|/
o---o
This graph has 10 edges.
The number of edges in a complete undirected graph with n vertices can be found using the formula:
number of edges = (n * (n - 1)) / 2
This is because each vertex is connected to every other vertex, except itself, for a total of n - 1 edges. However, we count each edge twice, once for each endpoint, so we need to divide by 2 to get the total number of edges.
Using this formula, we can find the number of edges in each of the graphs above:
1 vertex: 0 edges
2 vertices: (2 * 1) / 2 = 1 edge
3 vertices: (3 * 2) / 2 = 3 edges
4 vertices: (4 * 3) / 2 = 6 edges
5 vertices: (5 * 4) / 2 = 10 edges
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Related Questions
1/2x - 1/3y = 5
x= 2/3y + 10
Answers
Equation form : x= 1,y = -2/33
x= 1,y = -2/27
if you throw a pair of six-sided diced with the faces numbered 1 to 6, what is the probability that the sum of the two faces adds to 5?
Answers
1/12 is the probability that the sum of the two faces adds to 5 .
What does the math term "probability" mean?
The simple definition of probability is the likelihood that something will occur. We can discuss the probabilities of various outcomes, or how likely they are, whenever we are unsure of how an event will turn out.
Statistics describes the examination of events subject to probability.
It is because there are total of 3 pairs possible where addition of number face adds to 4.
The pairs are (2,2), (1,3), (3,1).
The total outcomes possible(sample space) is 36.
Hence probability is 3/36, that is, 1/12
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Kurt has a rectangular garden in his backyard with an area of 40 square feet. He wants to increase the size of the garden by doubling each dimension. What will the area of the garden be after he doubles the length and width?.
Answers
On solving the problem, 160 square feet will be the area of the garden be after he doubles the length and width.
An area in mathematics is what?A flat (2-D) surface's or an object's shape's total area is known as its area. On a piece of paper, use a pencil to draw a square. It is a 2-D figure. Its Area refers to the area that the shape occupies on the paper. Imagine that your square is now composed of smaller unit squares.
we have,
rectangular garden with an area = 40 square feet.
Each dimension of the rectangular has been increased by doubling.
Now
Area = L X W
if the area is doubled
= > (2XL)(2XW)
=> ( 4 X L W)
= > 4X40
=> 160
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(a) Calculate sinh (log(5) - log(4)) exactly, i.e. without using a calculator (b) Calculate sin(arccos(4/√65)) exactly, i.e. without using a calculator. (c) Using the hyperbolic identity cosh²x - sinh² x = 1, and without using a calculator, find all values of cosh r, if tanh x= 1/2
Answers
(a) sinh(log(5) - log(4)) = 9/20 (b) sin(arccos(4/√65)) = 4/√65 (c) the hyperbolic identity cosh²(x) - sinh²(x) = 1
(a) sinh(log(5) - log(4)) exactly, we can use the properties of logarithms and the definitions of sinh and cosh functions.
Let's start by simplifying the expression inside the sinh function:
log(5) - log(4) = log(5/4)
Now, we can use the definition of sinh(x):
sinh(x) = (eˣ - e⁻ˣ) / 2
Applying this to our expression, we have:
sinh(log(5/4)) = \(e^{log\frac{5}{4} }\) - \(e^{-log\frac{5}{4} }\) / 2
Using the property \(e^{loga}\) = a and \(e^{log-a\) = 1/a, we can simplify further:
sinh(log(5/4)) = (5/4 - 4/5) / 2
= (25/20 - 16/20) / 2
= 9/20
Therefore, sinh(log(5) - log(4)) = 9/20.
(b) To calculate sin(arccos(4/√65)) exactly, we can use the Pythagorean identity sin²(x) + cos²(x) = 1 and the given value of arccos(4/√65).
Let's first find the value of sin(arccos(4/√65)):
sin(arccos(4/√65)) = sin(x), where x = arccos(4/√65)
Using the Pythagorean identity cos²(x) + sin²(x) = 1, we can find sin(x) as follows:
cos²(x) = 1 - sin²(x)
cos²(x) = 1 - sin(arccos(4/√65))²
cos²(x) = 1 - (4/√65)²
cos²(x) = 1 - 16/65 cos²(x) = 49/65
Since cos(x) is positive for arccos(4/√65), we can take the positive square root:
cos(x) = √(49/65) cos(x) = 7/√65
Now, we can use the Pythagorean identity sin²(x) + cos²(x) = 1 to find sin(x):
sin²(x) = 1 - cos²(x)
sin²(x) = 1 - (7/√65)²
sin²(x) = 1 - 49/65
sin²(x) = 16/65
Since sin(x) is positive for arccos(4/√65), we can take the positive square root:
sin(x) = √(16/65) sin(x) = 4/√65
Therefore, sin(arccos(4/√65)) = 4/√65.
(c) Using the hyperbolic identity cosh²(x) - sinh²(x) = 1, we can find all values of cosh(r) if tanh(x) = 1/2.
First, let's express tanh(x) in terms of sinh(x) and cosh(x):
tanh(x) = sinh(x) / cosh(x)
Given that tanh(x) = 1/2, we have:
1/2 = sinh(x) / cosh(x)
Now, let's use the hyperbolic identity cosh²(x) - sinh²(x) = 1
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Luis created a spreadsheet of his expenses for three months. Which of Luis's expenses are variable expenses?
Expenses
Jan Feb Mar
$1,250.00 $1,250.00 $1,250.00
rent
utility bill
$124.11
$108.72
$121.69
car loan payment
$384.00
$384.00
$384.00
insurance payment
$97.18
$97.18
$97.18
$315.43
$367.25
$341.04
groceries
clothing
fuel
$72.18
$152.74
$0.00
$108.71
$117.46
$127.34
Reset
Next
Answers
As they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.
Variable expenses is a concept in economics. They are costs that change due to an increase or decrease in the production volume, such as raw material costs.
The variable cost in money is obtained by multiplying, starting from a certain cost, the variable cost in kind by the price of the variable factor. The curves of average variable cost and marginal variable cost are deduced from the curve of variable cost in money according to geometric relationships.
Therefore, as they vary from month to month, Luis's variable expenses are the utility bill, groceries, clothing and fuel.
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In an optical fibre, the power drops by a factor of 10 approximately every 30 km. If the transmit power is 0. 35 W, how far will a signal be transmitted before the power is attenuated to 350 μW?
Answers
Answer:
30000 kmStep-by-step explanation:
First convert the transmit power into μW, considering 1 W = 1000000 μW:
0.35 W = 0.35*1000000 μW = 350000 μWFind how many factors of 10 the power dropped:
350000 / 350 = 1000Find the distance:
1000*30 km = 30000 kmfind the ratio of 5m to 11m in simple ways
Answers
Answer:
5m to 11m simplified to a ratio would be 5:11.
Step-by-step explanation:
To calculate ratios, try to think of them as fractions instead.
When a ration is expressed in the "a to b" form, you can actually treat it as \(\frac{a}{b}\)!
As an example, the ratio of 1 to 2 would be \(\frac{1}{2}\). and the ration of 5 to 9 would be \(\frac{5}{9}\).
Hence, the ration of 5m to 11m would be \(\frac{5m}{11m}\), which when simplified equals to \(\frac{5}{11}\).
Now, we can do the opposite to the fraction! For example, \(\frac{10}{19}\) would be equal to 10:19!
Hence, 5m to 11m simplified to a ratio would be 5:11!
Hope this helped!
What is the answer if you Factor 4x^2-256
Answers
Answer:
4(x + 8)(x - 8)
Step-by-step explanation:
We can start by finding the GCF of both terms. We can notice that both terms are divisible by 4, so we can factor it out:
4(x^2 - 64)
Now, we can notice that x^2 - 64 resembles the special product a^2 - b^2 which factors to (a + b)(a - b). In this case, a^2 = x^2 and b^2 = 64.
So,
a = x
b = 8
We can substitute:
(a + b)(a - b)
(x + 8)(x - 8)
We can add the 4 from the beginning in to get:
4(x + 8)(x - 8)
Answer:
x = -8 and 8
Step-by-step explanation:
1st we can factor out a 4 so we get
0 = 4(x^2 - 64)
now can either factor it out some more or just solve for x.
if we factor it out more we get
0 = 4(x + 8)(x - 8)
we got x + 8 and x - 8 because 64 is a perfect root and it was negative. now we solve for x.
x = 8, x = -8
2. We classify students at the entirely hypothetical University of Chocolate Libation (UChL) into two classes: those who are enrolled in a degree programme in statistical science (whose number we denote by X ) and those who do not. There are two degree programmes available in statistical science: Statistics, Economics and Finance (abbreviated to SEF) and Economics and Statistics (abbreviated to ES). Each student enrolled in a degree programme in statistical science chooses independently at random which of these two degree programmes to follow, with probability p∈(0,1) of following SEF. The number of students on SEF is denoted by Y and the number of students on ES is denoted by Z so that X=Y+Z. (a) Suppose that X∼Poi(λ) for a parameter λ>0. Compute Cov(X,Y) as well as corr(X,Y). [TYPE:] For both the covariance and the correlation, decide whether they depend on the parameter λ and provide an intuitive reasoning explaining IP: STAT0005, 2022-2023 15 your finding. Your explanation should provide an interpretation of the parameter λ (you may find it easier to type "lambda" rather than use the Greek letter) in the context of the question and from there explain its impact on the covariance and correlation. You should write at least four sentences and at most half a page. (b) Instead of assuming that X follows a Poisson distribution, assume that the total number of students at UChL is known to be n∈N. Each of these n students chooses independently to enroll in a degree programme in statistical science with probability r∈(0,1), independently. Find the joint distribution of Y,Z and the number W of students at UChL who do not enroll in a degree programme in statistical science. Compute corr(X,Y). For which limiting value of r does this correlation agree with the one computed in the previous part? 3. Consider the following marginal and conditional pdfs: fV(v)fW\V(w∣v)={αv−2e−v20 if v<−1 or v>1 otherwise ={v2e−wv20 if w>0 otherwise Here, α is a normalization constant. (a) Obtain E[W∣V=v] for ∣v∣>1. Justify your steps. (b) Show that corr(V,W)=0. Justify your steps. (c) Decide whether V and W are independent. Justify your decision carefully.
Answers
Both Cov(X,Y) and corr(X,Y) do not depend on the parameter λ.
To compute Cov(X,Y), we first need to compute E(X), E(Y), and E(XY). Since X ∼ Poisson(λ), we have E(X) = λ.
Now, let's compute E(Y). We know that Y represents the number of students on SEF, and each student chooses to follow SEF with probability p.
Therefore, Y follows a binomial distribution with parameters X and p. Hence, E(Y) = X * p.
Next, let's compute E(XY). Since X and Y are independent, we have-
\(E(XY) = E(X) * E(Y)\)
\(= λ * X * p.\)
Now, we can compute Cov(X,Y) using the formula:
\(Cov(X,Y) = E(XY) - E(X) * E(Y).\)
Substituting the values we obtained, we have-
\(Cov(X,Y) = λ * X * p - λ * X * p\)
= 0.
Moving on to compute corr(X,Y), we need to compute Var(X) and Var(Y) first.
Since X ∼ Poisson(λ), we have Var(X) = λ.
For Y, since it follows a binomial distribution with parameters X and p, we have
\(Var(Y) = X * p * (1 - p)\).
Now, we can compute corr(X,Y) using the formula:
\(corr(X,Y) = Cov(X,Y) / sqrt(Var(X) * Var(Y)).\)
Substituting the values we obtained, we have-
\(corr(X,Y) = 0 / sqrt(λ * X * p * X * p * (1 - p))\)
= 0.
Therefore, both Cov(X,Y) and corr(X,Y) do not depend on the parameter λ.
(b) Assuming that the total number of students at UChL is known to be n, we can find the joint distribution of Y, Z, and the number W of students who do not enroll in a degree program in statistical science.
Since each student independently chooses to enroll in a degree program with probability r, the number of students on SEF, Y, follows a binomial distribution with parameters n and r.
Similarly, the number of students on ES, Z, follows a binomial distribution with parameters n and (1 - r).
Hence, the joint distribution of Y and Z is given by P(Y=y, Z=z)
\(= C(n,y) * r^y * (1-r)^(n-y) * C(n-z, z) * (1-r)^z * r^(n-z),\)
Where C(n,y) represents the number of combinations of choosing y items from a set of n items.
To compute corr(X,Y), we can use the relationship that corr(X,Y) = corr(Y + Z, Y)
\(= corr(Y, Y) + corr(Z, Y) + 2 * sqrt(corr(Y, Z) * corr(Y, Y)).\)
Since Y and Z are independent, corr(Y, Z) = 0.
We already computed corr(Y, Y) in part (a), and it is 0.
Hence,
\(corr(X,Y) = corr(Y, Y) + corr(Z, Y) + 2 * sqrt(corr(Y, Z) * corr(Y, Y))\)
= 0 + 0 + 2 * sqrt(0 * 0) = 0.
Therefore, the correlation computed in this part, corr(X,Y), agrees with the correlation computed in part (a), which is also 0.
The correlation between X and Y, corr(X,Y), remains 0 regardless of the parameter values λ and r.
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Mr. Patrick wants to tile his room. When he called a contractor to measure the area of the surface that needed to be tiled, he found it to be 4m². If each tile area is 500cm², how many tiles does he need?
Answers
Answer:
500÷4=125
Step-by-step explanation:
500 divided by 4 is 150 so Mr.patrick needs 150 tilws
A 2-column table with 10 rows. the first column is labeled x with entries 0.5, 1, 1, 1.5, 2, 2, 2.5, 3.5, 3.5, 4. the second column is labeled y with entries 1, 1, 2, 3, 2, 5, 4, 5, 6, 7. a graph shows the horizontal axis numbered 1 to 4 and the vertical axis numbered 1 to 7. a line increases from 0 to 4. the regression calculator shows the relationship between the hours devin spent playing a video game, x, and the levels he achieved, y. which number of hours can be used to make an extrapolation of the level he could achieve? 2 3 4 5
Answers
Based on the graph of this regression calculator, the number of hours that can be used to make an extrapolation of the level he could achieve is: A. 2.
What is a regression line?A regression line can be defined as a statistical line that best describes the behavior of a data set and such, it is a line that best fits a set of data.
How to determine number of hours?From the graph of this regression calculator, we can deduce that the linear regression is given by this function y ≈ 1.62x + 0.117; r ≈ 0.92.
Thus, the extrapolation would be given by:
0.14999 ≤ x ≤ 4.35.
0.39999 ≤ y ≤ 7.6.
Therefore, two (2) number of hours can be used to make an extrapolation of the level he could achieve.
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Answer:
answer is 5
Step-by-step explanation:
Round to the nearest hundredth Round to the nearest whole number.
Answers
N 19
5.849
we have that the digit 9 is greater than 5
that means
5.849=5.85 to the nearest hundredth
N 20
4.484
the digit 4 is less than 5
therefore
4.484=4.48 to the nearest hundredth
N 23
98.55
0.55 > 0.50
so
98.55=99 to the nearest whole number
N 24
269.57
0.57>0.50
269.57=270 to the nearest whole number
N 25
14.369
0.369 < 0.5
14.369=14 to the nearest whole number
How to I do this problem ?
Answers
Answer:Takeyour time
Step-by-step explanation:
What is the product of Negative StartFraction 2 over 7 EndFraction and Negative StartFraction 3 over 7 EndFraction? Negative StartFraction 6 over 7 EndFraction Negative StartFraction 6 over 49 EndFraction StartFraction 6 over 49 EndFraction StartFraction 6 over 7 EndFraction please help me.... 10 minutes ASAP!!
Answers
Answer:
6/49 or
StartFraction 6 over 49 EndFraction
Step-by-step explanation:
There are two negative fractions, the product of which results in positive.
(-2/7)* (-3/7) = 6/49
Answer:
6/7
Step-by-step explanation:
is correct
A 90% confidence interval is constructed based on a sample of data, and it is 74% +3%. A 99% confidence interval based on this same sample of data would have: A. A larger margin of error and probably a different center. B. A smaller margin of error and probably a different center. C. The same center and a larger margin of error. D. The same center and a smaller margin of error. E. The same center, but the margin of error changes randomly.
Answers
As a result, for the same data set, a 99% confidence interval would have a greater margin of error than a 90% confidence interval.
Answer: If a 90% confidence interval is constructed based on a sample of data, and it is 74% + 3%, a 99% confidence interval based on this same sample of data would have a larger margin of error and probably a different center.
What is a confidence interval? A confidence interval is a statistical technique used to establish the range within which an unknown parameter, such as a population mean or proportion, is likely to be located. The interval between the upper and lower limits is called the confidence interval. It is referred to as a confidence level or a margin of error.
The confidence level is used to describe the likelihood or probability that the true value of the population parameter falls within the given interval. The interval's width is determined by the level of confidence chosen and the sample size's variability. The confidence interval can be calculated using the standard error of the mean (SEM) formula
.A 90% confidence interval indicates that there is a 90% chance that the interval includes the population parameter, while a 99% confidence interval indicates that there is a 99% chance that the interval includes the population parameter.
When the level of confidence rises, the margin of error widens. The center, which is the sample mean or proportion, will remain constant unless there is a change in the data set. Therefore, alternative A is the correct answer.
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A jewelry store makes rings for $27. They sell the rings at a 78% markup. How much would you pay retail for a ring? Show your work.
want a brainlist
1-answer correct
2-explain correctly
3-be first to answer(this makes the chance higher for you to get the brainlist)
Answers
Answer: $48.06
Step-by-step explanation:
Simply take the sales price minus the unit cost, and divide that number by the unit cost. Then, multiply by 100 to determine the markup percentage. For example, if your product costs $50 to make and the selling price is $75, then the markup percentage would be 50%: ( $75 – $50) / $50 = . 50 x 100 = 50%.
Answer:
You would pay $48.06
Step-by-step explanation:
27*0.78 = 21.06
27 + 21.06 = 48.06
Find the common ratio for this geometric sequence.
0.25, 1.25, 6.25, 31.25, ...
A.
0.20
B.
1
C.
–5
D.
5
Answers
Answer:
D) 5
====================
Given GP: 0.25, 1.25, 6.25, 31.25, ...To findThe common ratio of this GPSolutionThe common ratio is the constant factor between consecutive terms, that is:
r = 31.25/6.25 = 6.25/1.25 = 1.25/0.25 = 5Correct choice is D.
HALP MEH PLZ
Leila has 36 photos of her friends. She puts 6 photo on each page in her scrapbook. How many pages does Leila use?
Let p stand for the number of pages Leila uses. Which equations can be used to solve the problem? Choose ALL the correct answers.
p = 6 x 36
36 = p x 6
p = 36 x 6
p = 36 divided by 6
Answers
Answer:
Step-by-step explanation:
The last one
Answer:
p= 36 divided by 6. that is the answer.
Range of g(x)=3 square root of x
Answers
The range of the function g(x) is given as follows:
[0, ∞).
How to obtain the domain and range of a function?The domain of a function is obtained as the set containing all the values assumed by the independent variable x of the function, which are also all the input values assumed by the function.The range of a function is obtained as the set containing all the values assumed by the dependent variable y of the function, which are also all the output values assumed by the function.From the graph of the function given in this problem, y assumes all real non-negative values, hence the interval notation representing the range of the function is given as follows:
[0, ∞).
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What is the solution of
Answers
Answer:
x can be any value less than 3
Step-by-step explanation:
It must understood that the solution interval of x will never contain 3
(because (x-2)/(x-3) is a rational function and by definition the denominator is always a non-zero polynomial)
\(3+(1+\frac{1}{x-3})\le4\\\\4+\frac{1}{x-3}\le4\\\\\frac{1}{x-3} < 0\)
(if the denominator is negative, the LHS will be negative and satisfy the inequality)
\(\therefore x < 3\) (or) \(x\in (-\infty,3)\)
I need help, and a step by step explanation! :)
Answers
Answer:
90°
Step-by-step explanation:
There is no work. We know the right angle in the triangle and the x are supplementary. Meaning, they add up to 180 degrees. Therefore, 180-90 = 90. Think of it as a full triangle. If the 40 at the top was not half, but a full triangle, the 40 at the top would become 80. The 50 in the bottom left would mean there would be a 50 in the bottom right when you mirror the triangle. Therefore, you also need x to be 90 to make it a right triangle.
What is the slope of y=-x+7y=−x+7y, equals, minus, x, plus, 7?
Answers
The slope of the equation is -1.
What is slope?A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,
m = Δy/Δx
where, m is the slope
Given Equation:
y=-x+7
We know the standard form equation
y= mx + c, where m is the slope.
Now, comparing it with given equation is
m=-1 and c=7
Hence, the slope of the equation is -1.
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What is the LCD of 11/6 and 5/9
Answers
If the minute hand of a clock rotates 6 degrees every minute. Determine how minutes does it take to rotate 2160
degrees. (1 point)
Ot=360
Ot= 340
Ot=180
Ot = 2160
Answers
Answer:
This is your answer 360 degrees.
Step-by-step explanation:
Mark as brainlest makes my day
the time to failure of a rechargeable battery is exponentially distributed with a mean of 3 years. what is the probability that two batteries used sequentially will last more than 4 years? g
Answers
The probability that two batteries used sequentially will last more than four years is approximately 0.0835.
We recognize that the time to failure of a rechargeable battery is exponentially distributed with a mean of 3 years. consequently, the parameter lambda for the exponential distribution is:
lambda = 1/mean = 1/3
Let X1 be the time to failure of the first battery and X2 be the time to failure of the second battery. We want to find the possibility that each batteries last more than four years, which may be expressed as:
P(X1 > 4 and X2 > 4)
The use of the memoryless belongings of the exponential distribution, we will rewrite this chance as:
P(X1 > 4) x P(X2 > 4)
The opportunity density feature of an exponential distribution with parameter lambda is:
\(f(x) = lambda * e^{(-lambda*x)}, for x > = 0\)
Therefore, the opportunity that a battery lasts more than four years is:
P(X > 4) = imperative from 4 to infinity of lambda * \(e^{(-lambdax)}\) dx
= \(e^{(-lambda4)}\)
Substituting lambda = 1/3, we get:
P(X > 4) = \(e^{(-4/3)}\)
The use of the memoryless property, we've got:
P(X1 > 4) =\(e^{(-4/3)}\)
P(X2 > 4) = \(e^{(-4/3)}\)
Consequently, the chance that both batteries last more than 4 years is:
P(X1 > 4 and X2 > 4) = P(X1 > 4) x P(X2 > 4)
\(= e^{(-4/3)} x e^{(-4/3)}\)
\(= e^{(-8/3)}\)
≈ 0.0835
Consequently, the probability that two batteries used sequentially will last more than four years is approximately 0.0835.
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Brian’s backyard is in the shape of a square. If the yard is 21 feet long, how much land does Brian’s backyard cover?
Pleaseee helppp
Answers
Carrie makes 27 liters of lemonade. 8 people share the lemonade equally. Which statement is true?
A. Each person will receive less than 2 liters.
B. Each person will receive between 2 and 3 liters
C. Each person will receive between 3 and 4 liters
D. Each person will receive more than 4 liters
I will give you 5 ⭐️
Answers
Answer:
C. Each person will receive between 3 and 4 liters
Step-by-step explanation:
because if you divide 27 by 8 you'll get 3.375
Solve 81 = x ^ 2 for x . Check your solutions
Answers
81 = x²
√81 = x
√9 × 9 = x
9 = x
Verification :-
9 × 9 = 81
9² = 81.
So, the value of x is 9.
______
Comment if you've any doubts!
RainbowSalt2222 ☔
Answer:
X = ± 9
Step-by-step explanation:
81 = x² , that is
x² = 81 ( take the square root of both sides )
x = ± \(\sqrt{81}\) = ± 9
As a check
9² = 9 × 9 = 81 and (- 9) × (- 9) = 81
please solve this math problem look at the screenshot
Answers
Answer:
D
Step-by-step explanation:
A graph represents a function of x when it passes the vertical line test. That is, no x values map out to more than 1 y value.
Therefore, D is the only function of x.
zb. Solve for m4MQR.хM(3x+79)(-12x+133)QR
Answers
Solution
For this case we can see that < XQL and < MQR are opposed by the vertex so then are equal
And if we set up equal the measures given we got:
-12x+133= 3x+79
Now we can solve for x. We can add 12x in both sides of the equation and we got:
133= 15x+79
Now we can subtract both sides of the equation 79 and we got:
54= 15x
And finally we got:
x= 54/15= 3.6º
Now we can find the angle < MQR replacing the value of x like this:
