A quadrilateral has exactly 2 congruent sides. Which quadrilateral types could it be? Which quadrilateral could it not be? 2 answers pls
Answers
A quadrilateral with exactly 2 congruent sides is called an isosceles trapezoid.
What is quadrilateral?A quadrilateral is a polygon with four sides and four angles. The sum of the interior angles of a quadrilateral is always equal to 360 degrees. There are many different types of quadrilaterals, including rectangles, squares, trapezoids, kites, and rhombuses. These different types of quadrilaterals have specific properties that make them unique, such as having parallel sides or congruent angles. Quadrilaterals are used in geometry and other areas of mathematics to study the properties of shapes and how they relate to one another.
Here,
It could also be a kite, as a kite has two pairs of adjacent congruent sides. It could not be a rectangle, as a rectangle has 4 congruent sides. It could also not be a square, as a square has 4 congruent sides and 4 congruent angles.
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Related Questions
What is the inverse of f(x)=2x^2+4x? Please show work.
Answers
as you already know, to get the inverse of any expression we start off by doing a quick switcheroo on the variables and then solving for "y", let's do so.
\(\stackrel{f(x)}{y}~~ = ~~2x^2+4x\hspace{5em}\stackrel{\textit{quick switcheroo}}{x~~ = ~~2y^2+4y} \\\\\\ x=2(y^2+2y)\implies \cfrac{x}{2}=y^2+2y\impliedby \begin{array}{llll} \textit{now let's complete the square}\\ \textit{to make it a perfect square trinomial}\\ \textit{by using our good friend, Mr "0"} \end{array} \\\\\\ \cfrac{x}{2}=y^2+2y(+1^2-1^2)\implies \cfrac{x}{2}=y^2+2y+1-1\implies \cfrac{x}{2}=(y^2+2y+1)-1\)
\(\cfrac{x}{2}+1=(y^2+2y+1^2)\implies \cfrac{x}{2}+1=(y+1)^2\implies \sqrt{\cfrac{x}{2}+1}=y+1 \\\\\\ \sqrt{\cfrac{x+2}{2}}=y+1\implies \sqrt{\cfrac{x+2}{2}}-1=y~~ = ~~f^{-1}(x)\)
A rectangular tank, 1 1/2m long and 1m wide,
contains water to a depth of 50 cm. How
many litres does it contain?
Answers
100 : 1
50 : x
x = 50/100
= 0.5 m
V = L x b x h
= 1.5 x 1 x 0.5
= 0.75 m^3
PLZ ANSWER FAST! It’s URGENT :))
Answers
Answer:
you just edit it in your gallery, first rotait it in the right position and then revert it once
HELPPPPP
7 8 ÷ 1 4
A) 3 1 2
B) 4
C) 7 16
D) 7 32
Answers
Answer:
A) 3 1/2
Explanation:
\(\hookrightarrow \sf \dfrac{7}{8} \div \dfrac{1}{4}\)
rewrite the following
\(\hookrightarrow \sf \dfrac{7}{8} * \dfrac{4}{1}\)
join both fractions
\(\hookrightarrow \sf \dfrac{7*4}{8}\)
multiply
\(\hookrightarrow \sf \dfrac{28}{8}\)
simplify the following
\(\hookrightarrow \sf \dfrac{7}{2}\)
turn into mixed fraction
\(\hookrightarrow \sf 3\dfrac{1}{2}\)
Answer:
\(\dfrac{7}{2}\)
Step-by-step explanation:
Given expression:
\(\dfrac{7}{8} \div \dfrac{1}{4}\)
Simplify the expression:
\(\implies \dfrac{7}{8} \div \dfrac{1}{4}\)
\(\implies \dfrac{7 \div 1}{8 \div 4}\)
\(\implies \dfrac{7}{2}\)
Rewrit using factored form solve using zero product property
Answers
Answer:
Step-by-step explanation:
a. d^2 - 7d + 6 = 0
(d - 1)(d - 6) = 0
d - 1 = 0, d - 6 = 0 therefore:
d = 1, 6.
b, x^2 + 18x + 81 = 0
(x + 9)(x + 9) = 0
x = -9 multiplicity 2.
c u^2 + 7u - 60 = 0
(u + 12)(u - 5) = 0
u = -12, 5.
Factor
Include the Steps
X^2-6x-40=0
Answers
Answer:
x=(+10,-4)
Step-by-step explanation:
find two number if you multiple it becomes (-40) and if you add it becomes (-6)
Which system of equations is represented by the matrix below?
[2 -3|8]
[5 0|10]
A. 2y - 3x = 8
5y = 10
B. 3x - 2y = 8
5x = 10
C. 2x - 3y = 8
5x = 10
Answers
Answer:
C
Step-by-step explanation:
the x,y matrix will have the form of some x coefficient value, some y coefficient value and then the answer. if one of these values are missing you use a 0 as placeholder. look at the coefficients here. you know one equation will have an x coefficient of 2 and a y coefficient of -3 with a solution of 8 and the other equation will have x coefficient of 5 and no y at all with a solution of 10. only option c meets these criteria
in this question, t=6
4. [40 MARKS] Let t be the 7th digit of your Student ID. A consumer has a preference relation defined by the utility function u(x, y) = −(t + 1 − x)2 − (t + 1 − y)2. He has an income of w > 0 and faces prices pa and Py of goods X and Y respectively. He does not need to exhaust his entire income. The budget set of this consumer is thus given by B = {(x, y) = R2: Pxx + Pyy ≤ w}.
(a) [4 MARKS] Draw the indifference curve that achieves utility level of -1. Is this utility function quasi-concave?
(b) [5 MARKS] Suppose Px, Py >0. Prove that B is a compact set.
(c) [3 MARKS] If p = 0, draw the new budget set and explain whether it is compact. 1 and w = 15. The consumer maximises his
Suppose you are told that pr
utility on the budget set.
=
1, Py
=
(d) [6 MARKS] Explain how you would obtain a solution to the consumer's optimisation problem using a diagram.
(e) [10 MARKS] Write down the Lagrange function and solve the consumer's utility maximisation problem using the KKT formulation.
(f) [6 MARKS] Intuitively explain how your solution would change if the consumer's income reduces to w = 5.
(g) [6 MARKS] Is the optimal demand for good 1 everywhere differentiable with respect to w? You can provide an informal argument.
Answers
In this question, we are given a consumer with a utility function and a budget set defined by prices and income. We are asked to analyze various aspects related to the consumer's optimization problem, including drawing indifference curves.
Aproving the compactness of the budget set, analyzing changes in the budget set, solving the consumer's optimization problem using the KKT formulation, and discussing the differentiability of optimal demand with respect to income.
(a) The indifference curve that achieves a utility level of -1 can be obtained by setting the utility function equal to -1 and solving for x and y. Plotting the resulting equation will give us the shape of the indifference curve. The concavity of the utility function determines whether it is quasi-concave or not. If the utility function is concave, then the indifference curves will be convex, indicating that it is quasi-concave.
(b) To prove that the budget set B is compact, we need to show that it is closed and bounded. Closedness can be demonstrated by showing that the complement of B is open. Boundedness can be shown by demonstrating that there exists a finite number M such that the Euclidean distance between any point in B and the origin is less than or equal to M.
(c) When p = 0, the budget set reduces to the entire two-dimensional space, as there are no price constraints. In this case, the budget set is not compact since it is unbounded.
(d) To obtain a solution to the consumer's optimization problem using a diagram, we can plot the budget set and indifference curves. The optimal consumption bundle will be the point where the budget line is tangent to the highest possible indifference curve within the budget set. This tangency point represents the maximum utility the consumer can achieve given the budget constraints.
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abc is a triancle with ab=12 bc=8 and ac=5 find cot a
Answers
We can approximate sin(a) by its tangent, which is approximately equal to tan(a) = sin(a) / cos(a) ≈ -0.6875 / (-0.6875) = 1
To find cot(a), we need to first find the value of the tangent of angle a, because:
cot(a) = 1 / tan(a)
We can use the Law of Cosines to find the cosine of angle a, and then use the fact that:
tan(a) = sin(a) / cos(a)
to find the tangent of angle a.
Using the Law of Cosines, we have:
cos(a) = (b^2 + c^2 - a^2) / (2bc)
where a, b, and c are the lengths of the sides opposite to angles A, B, and C, respectively.
Plugging in the given values, we get:
cos(a) = (8^2 + 5^2 - 12^2) / (2 * 8 * 5)
cos(a) = (64 + 25 - 144) / 80
cos(a) = -55 / 80
Now, we can use the fact that:
tan(a) = sin(a) / cos(a)
To find the tangent of angle a, we need to find the sine of angle a. We can use the Law of Sines to find the sine of angle a, because:
sin(a) / a = sin(b) / b = sin(c) / c
Plugging in the given values, we get:
sin(a) / 12 = sin(B) / 8
sin(a) / 12 = sin(C) / 5
Solving for sin(B) and sin(C) using the above equations, we get:
sin(B) = (8/12) * sin(a) = (2/3) * sin(a)
sin(C) = (5/12) * sin(a)
Using the fact that the sum of the angles in a triangle is 180 degrees, we have:
a + B + C = 180
Substituting in the values for a, sin(B), and sin(C), we get:
a + arcsin(2/3 * sin(a)) + arcsin(5/12 * sin(a)) = 180
Solving for sin(a) using this equation is difficult, so we will use the approximation that sin(a) is small, which is reasonable because angle a is acute. This means we can approximate sin(a) by its tangent, which is approximately equal to:
tan(a) = sin(a) / cos(a) ≈ -0.6875 / (-0.6875) = 1
Therefore, we have:
cot(a) = 1 / tan(a) = 1 / 1 = 1
So cot(a) = 1.
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5% of a number is 231%of the same number is 4. 6work out 16%of the number
Answers
Answer:
23
Step-by-step explanation:
10
10
-10
What is the slope of the line shown on the graph?
A)
-1
B)
0
1
D
undefined
Answers
Answer:
A
Step-by-step explanation:
Calculate the slope m using the slope formula
m = \(\frac{y_{2}-y_{1} }{x_{2}-x_{1} }\)
with (x₁, y₁ ) = (0, 0) and (x₂, y₂ ) = (- 5, 5) ← 2 points on the line
m = \(\frac{5-0}{-5-0}\) = \(\frac{5}{-5}\) = - 1 → A
Write an explicit formula for
An
, the nth
term of the sequence 36, 46, 56, ....
Answers
Answer:
\(a_{n}\) = 10n + 26
Step-by-step explanation:
\(a_{n} = a_{1} + (n - 1)d\)
In your problem d = 46 - 36 = 10 and \(a_{1} = 36\)
So, \(a_{n}\) = 36 + (n - 1)10
= 36 + 10n - 10
= 10n + 26
Please help me with this. I give you 5 stars.
Answers
A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
The probability that a randomly chosen point lies in the shaded region is 0.65
What is a rectangle?A rectangle is a two-dimensional shape where the length and width are different.
The area of a rectangle is given as:
Area = Length x width
We have,
Area of rectangle = 14 x 8 = 113
Area of the rectangle inside = 10 x 4 = 40
The area of the shaded region.
= 113 - 40
= 73
The probability that a randomly chosen point lies in the shaded region.
= 73/113
= 0.65
Thus,
The probability that a randomly chosen point lies in the shaded region is 0.65
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can u pls help me with this question
Answers
6:00 pm - 9¾ hours.
Answers
Answer:
The answer should be 9:25 am
Just subtract and use your fingers so you don’t loose track how many you subtracted
Answer:
count backward (use ur hands if needed cuz it's easier)...
6 - 9 so 5, 4, 3, 2, 1, 12, 11, 10, 9...
now we divide...
3/4 = .75
now we multiply...
60 x .75 = 45 mins
Step-by-step explanation:
6:00 p.m - 9 3/4 hour = 9:45 a.m...
hope this helps...
have a nice day!
what is the domain and range of f(x)=35x
Answers
Answer:
Domain and Range are all real number
Step-by-step explanation:
Answer is above
Suppose that 3 balls will be randomly put into 3 buckets, with each ball being equally likely to be put into each of the buckets, independently of which buckets are chosen for any of the other balls. (E.g., the first ball is equally likely to be put into any of the 3 buckets, and then regardless of which bucket the first ball is placed in, the second ball is equally likely to be put into any of the 3 buckets.) What is the probability that all of the balls will be put into the same bucket
Answers
Answer:
\(\frac{1}{27}\)
Step-by-step explanation:
Since there are a total of three buckets and only one can be chosen at a time, this would mean that the probability of a ball being placed in a bucket is 1/3. Since each ball has the same probability of being placed into any bucket regardless of the where the previous ball landed, it means that each ball has the same 1/3 probability of a bucket. In order to find the probability that all three land in the same bucket, we need to multiply this probability together for each one of the balls like so...
\(\frac{1}{3} * \frac{1}{3} * \frac{1}{3} = \frac{1}{27}\)
Finally, we see that the probability of all three balls landing in the same bucket is \(\frac{1}{27}\)
For your initial post you will make up a problem similar to the above example. NOTE: Do not solve your own problem.(Remember that your problem must satisfy all the qualities of a binomial experiment - see above). Then you will answer 2 classmates problems showing your work using Excel.
The binomial distribution has five characteristics:
Sample Binomial Experiment - this would be in your initial post:
A couple has 8 children (n = 8 trials). We will assume that the probability of having a boy (arbitrarily defined as a "success") is p = 0.5.
a) Determine the probability the couple has exactly 5 boys.
b) Determine the probability that they have more than 5 boys.
c) Determine the probability that they have at most 5 boys.
Solution - this would be in your response post:
a) exactly 5 boys. Type this into Excel: =binom.dist(5,8,.5,False) Answer: .21875
The probability of having exactly 5 boys is 0.22
b) More than 5 boys: =1-binom.dist(5,8,.5,True)
The probability of having more than 5 boys is .144531
c) at most 5 boys: =binom.dist(5,8,.5,True)
The probability of having at most 5 boys is .855469
Answers
a) The probability of having exactly 5 boys is 0.22
b) The probability of having more than 5 boys is 0.17 or 17%
c) The probability of having at most 5 boys is 0.85.
What is the probability?The probability is determined using the binomial probability formula.
The binomial probability formula is given by:
P(X=k) = \(C(n, k) * p^k * (1-p)^{(n-k)\)
Where:
P(X=k) is the probability of getting exactly k successes (boys)
C(n, k) is the number of combinations of n items taken k at a time
p is the probability of success (having a boy)
n is the number of trials (number of children)
a) To determine the probability of having exactly 5 boys, we can plug in the values into the binomial probability formula:
P(X=5) = C(8, 5) * (0.5)² * (1-0.5)³
P(X=5) = 56 * 0.03125 * 0.125
P(X=5) = 0.21875
Therefore, the probability that the couple has exactly 5 boys is 0.22 or 22%
b) To determine the probability of having more than 5 boys, we need to calculate the probabilities of having 6, 7, and 8 boys and sum them up:
P(X > 5) = P(X=6) + P(X=7) + P(X=8)
P(X > 5) = [C(8, 6) * (0.5)⁶ * (1-0.5)²] + [C(8, 7) * (0.5)⁷ * (1-0.5)¹] + [C(8, 8) * (0.5)⁸ * (1-0.5)⁰]
P(X > 5) = 0.109375 + 0.0546875 + 0.00390625
P(X > 5) = 0.17
Therefore, the probability that the couple has more than 5 boys is 0.16875 or 16.875%.
c) To determine the probability of having at most 5 boys, we need to calculate the probabilities of having 0, 1, 2, 3, 4, and 5 boys and sum them up:
P(X <= 5) = P(X=0) + P(X=1) + P(X=2) + P(X=3) + P(X=4) + P(X=5)
P(X <= 5) = [C(8, 0) * (0.5)⁰ * (1-0.5)⁸] + [C(8, 1) * (0.5)¹ * (1-0.5)⁷] + [C(8, 2) * (0.5)² * (1-0.5)⁶] + [C(8, 3) * (0.5)³ * (1-0.5)⁵] + [C(8, 4) * (0.5)⁴ * (1-0.5)⁴] + [C(8, 5) * (0.5)⁵ * (1-0.5)³]
P(X <= 5) = 0.00390625 + 0.03125 + 0.109375 + 0.21875 + 0.2734375 + 0.21875
P(X <= 5) = 0.85546875
Therefore, the probability that the couple has at most 5 boys is 0.85546875 or 85.546875%.
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Find the distance between the two points (-4,8) and (7,8)
Answers
Hey there! :)
Answer:
d = 11 units.
Step-by-step explanation:
Use the distance formula:
\(d = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2}\)
Plug in the coordinates:
\(d = \sqrt{(7 - (-4))^2 + (8-8)^2}\)
\(d = \sqrt{(11)^2 + (0)^2}\)
Simplify:
\(d = \sqrt{11^{2} }\)
d = 11 units.
Select the correct answer.
Based on the end behavior, which is the graph of function f?
f(x) = x³ x² – 2x
Answers
Answer:
The answer and explanations are in the pictures.
Step-by-step explanation:
A rectangle has an area of 72 square units. The width of the rectangle is 9 units. The length of the rectangle is 2x + 4.
What is the rectangle's length?
A. 6
B. 7
C. 8
D. 9
Answers
Answer:
8
Step-by-step explanation:
If you plug in the answers it will give you 9x6= 54 which is wrong and 9x7=63 and 9x9=81 but 9x8=72.
Answer:
C length = 8
Step-by-step explanation:
Area of Rectangle = lw
A = lw Substitute l = (2x + 4) ; w = 9
72 = (2x + 4)9
72 = 18x + 36
36 = -36
36 = 18x
36/18 = x
2 = x
Substitute into l = 2x + 4 ; l = 2(2) + 4; l = 4 + 4 ; l = 8
Question on a picture
Answers
Answer:
c = 0
Step-by-step explanation:
Step 1: Write equation
15 - 5(4c - 7) = 50
Step 2: Solve for c
Distribute -5: 15 - 20c + 35 = 50Combine like terms: -20c + 50 = 50Subtract 50 on both sides: -20c = 0Divide both sides by -20: c = 0Step 3: Check
Plug in c to verify it's a solution.
15 - 5(4(0) - 7) = 50
15 - 5(-7) = 50
15 + 35 = 50
50 = 50
15 - 20c + 35 = 50
50 - 20c = 50
-20c = 0
x = 0
32 times 49302019284848484
Answers
Susan is also selling brownies. Her profit for x brownies is shown in the table below. If she uses the function y = mx + b to represent her profit, what is the parameter "m" in context?
Brownies Sold Profit
3 $6
5 $10
11 $22
A. m=6 and it represents her profit after selling 0 brownies
B. m=2 and it represents the amount she charges per brownies
C. m=2 and it represents her profit after selling 0 brownies
D. m=6 and it represents the amount she charges per brownies
Answers
Answer:
aaaaaaaaaaaaaaa
Step-by-step explanation:
it be much appreciated if anyone could help out
Factor: 16w3 – u4w3
Answers
Answer:
w^3(4 + u^2)(2 + u)(2 - u)
Step-by-step explanation:
6w^3 – u^4w^3
w^3(16 – u^4)
w^3(42 - ((u^2)^2)
w^3(4 + u^2)(4 - u^2)
w^3(4 + u^2)(22 - u^2)
w^3(4 + u^2)(2 + u)(2 - u)
CAN SOMEONE DO THESE 4 QUESTIONS RQ??
Solve the equations by using either the square root method or the factoring method.
1. x²-7= 18
2. x² + 2x -24 = 0
3. 4x² + 2 =38
4. 2x² + 5x -3=0
Answers
The solutions of the given equations are:
1. x = 5, -5
2. x = -6, 4
3. x = 3, -3
4. x = 1/2, -3
What is factorization?
Writing a number or other mathematical object as the result of numerous factors—typically smaller or simpler objects of the same kind—is known as factorization or factoring in mathematics.
Here, we have
1. x²-7= 18, by applying factorization
x² = 18 + 7
x² = 25
x = 5, -5
2. x² + 2x -24 = 0, by applying factorization
x² + 6x - 4x - 24 = 0
x(x+6)-4(x+6) = 0
(x-4)(x+6) = 0
x = 4,-6
3. 4x² + 2 = 38, by applying factorization
4x² = 36
x² = 9
x = 3, -3
4. 2x² + 5x -3 = 0, by applying factorization
2x² + 6x - x - 3 = 0
2x(x +3) -1(x+3) = 0
(2x-1)(x+3) = 0
x = 1/2, -3
Hence, The solutions of the given equations are:
1. x = 5, -5
2. x = -6, 4
3. x = 3, -3
4. x = 1/2, -3
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-8 = n/7 can someone solve this w work pleath
Answers
Answer: n = -56
Step-by-step explanation:
first, we multiply both sides by 7, un order to get the variable by itself. this is the important step.
-56 = n
then, we just simply swap the sides in order to get the variable on the left. (not necessary, just looks like a proper equation that way.)
n = -56
work:
-8 = n/7
x7 x7
-56 = n
n = -56
AB is parallel to DC.
AB = :5p
DC = p
DA = 2q - p
a) Find CB in terms of q and p.
Simplify your answer.
Note: Ignore arrows above vectors eg write PQ, not PQ
2q+3p
A
B
>
b) P is the midpoint of AD.
AQ: QB = 2:3
Show that PQ is parallel to CB.
P р
D
С
Answers
Answer:
They both have q+3/2p, so that means that 2PQ=CB and that means they are parallel to each other
Step-by-step explanation:
PQ=PA+QA
PQ=1/2(2q-p)+2/5*5p=q-1/2p+2p=q+3/2p
CB=2q+3p=2(q+3/2p)
Solve the system of equations.
6x – y = 6
6x2 – y = 6
(0, 6) and (0, –6)
(1, 0) and (0, –6)
(2, 6) and (1, –11)
Answers
Solve by Graphing shown
Find the output, y, when the input, x, is 666.
Answers
Answer:
y = 8
Step-by-step explanation:
The question is simply asking for the y-value when x = 6. We look at the graph when x = 6 and see what y-value it gives us. We find that when x = 6, we have y = 8.