Answers
The correct answer is option c (-1, 1).
To find the midpoint of a line segment, we can use the midpoint formula, which states that the coordinates of the midpoint are the average of the coordinates of the two endpoints.
Let's calculate the midpoint using the given endpoints (-4, 5) and (2, -3):
Midpoint = ((x1 + x2)/2, (y1 + y2)/2)
Substituting the values, we get:
Midpoint = ((-4 + 2)/2, (5 + (-3))/2)
= (-2/2, 2/2)
= (-1, 1)
Therefore, the midpoint of the line segment joined by the endpoints (-4, 5) and (2, -3) is (-1, 1).
Now, let's compare the obtained midpoint (-1, 1) with the given options:
(3, 1): This is not the midpoint, as it does not match the calculated coordinates (-1, 1).
(3, 4): This is not the midpoint either, as it does not match the calculated coordinates (-1, 1).
(-1, 1): This matches the calculated midpoint (-1, 1), so it is the correct answer.
O (1, 1): This is not the midpoint, as it does not match the calculated coordinates (-1, 1).
In conclusion, the midpoint of the line segment joined by the endpoints (-4, 5) and (2, -3) is (-1, 1).
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Related Questions
T/F. If isometry a interchanges distinct points P and Q, then a fixes the midpoint of P and Q.
Answers
False. If an isometry interchanges distinct points P and Q, it does not necessarily fix the midpoint of P and Q. In general, an isometry is a transformation that preserves distances between points.
However, it does not guarantee that the midpoint of two interchanged points will be fixed. Consider a simple example of a reflection about a line passing through the midpoint of P and Q. This is an isometry that interchanges P and Q but does not fix their midpoint. The midpoint would be mapped to a different point under the reflection transformation.
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Lemma 1 Let g = (V, E, w) be a weighted, directed graph with designated root r e V. Let E' = {me(u): u E (V \ {r})}. Then, either T = (V, E') is an RDMST of g rooted at r or T contains a cycle. Lemma 2 Let g = (V, E, w) be a weighted, directed graph with designated root reV. Consider the weight function w': E → R+ defined as follows for each edge e = (u, v): w'le) = w(e) - m(u). Then, T = (V, E') is an RDMST of g = (V, E, W) rooted at r if and only if T is an RDMST of g = (V, E, w') rooted at r.
Answers
Lemma 1 states that in a weighted, directed graph with a designated root, if we create a new set of edges E' by removing edges from the root to each vertex except itself.
Lemma 1 introduces the concept of an RDMST (Rooted Directed Minimum Spanning Tree) in a weighted, directed graph and highlights the relationship between the set of edges E' and the existence of cycles in the resulting graph T. It states that if T is not an RDMST, it must contain a cycle, indicating that removing certain edges from the root to other vertices can lead to cycles.
Lemma 2 focuses on the weight function w' and its impact on determining an RDMST. It states that the resulting graph T is an RDMST rooted at the designated root in the original graph if and only if it is an RDMST rooted at the designated root in the graph with the modified weight function w'. This lemma demonstrates that adjusting the weights of the edges based on the weights of the vertices preserves the property of being an RDMST.
Overall, these two lemmas provide insights into the properties and characteristics of RDMSTs in weighted, directed graphs and offer a foundation for understanding their existence and construction.
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GIVING BRAINLIST ANYONE WHO CAN SOLVE ANY OF THEM!!!!
Answers
Answer:
x=36
x=127
x=36
Answer:
1. 36
2. 127
3. x = 36
Step-by-step explanation:
A line is 180 degrees.
1. 180 - 144 = 36
2. 38 + 15 = 53, 180 - 53 = 127
3. 180 - 92 = 88, 88 - 16 = 72, 72 ÷ 2 = 36
What's the greatest common factor 25x^2 and 100x^4y^2
Answers
Answer:
I D K
Step-by-step explanation:
Consider the matrix A. A- Find the characteristic polynomial for the matrix A. (Write your answer in terms of 2) (1-x)(2²) Find the real eigenvalues for the matrix A
Answers
The characteristic polynomial for matrix A is (1-x)(2²), and the real eigenvalues for matrix A are 1 and 2.The characteristic polynomial for the matrix A can be written as (1-x)(2²), where x is the eigenvalue.
The real eigenvalues for matrix A can be found by setting the characteristic polynomial equal to zero and solving for x. Since the characteristic polynomial is a product of linear factors, the eigenvalues are the values of x that make each factor equal to zero.
In this case, we have two factors: (1-x) and (2²). Setting each factor equal to zero, we find that x = 1 and x = 2 are the real eigenvalues for matrix A.
To summarize, the characteristic polynomial for matrix A is (1-x)(2²), and the real eigenvalues are 1 and 2. The characteristic polynomial captures the relationship between the eigenvalues and the matrix A, while the real eigenvalues represent the values for which the matrix A has corresponding eigenvectors.
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please help! no links please!
Answers
The value of x is: 75°
360° - 128° - 85° - 72° = 75°
all quadrilaterals equal 360°
An exam is given to students in an introductory statistics course. What is likely to be true of the shape of the histogram of scores if:
a. the exam is quite easy?
b. the exam is quite difficult?
c. half the students in the class have had calculus, the other half have had no prior college math courses, and the exam emphasizes mathematical manipulation? Explain your reasoning in each case.
Answers
a. If the exam is quite easy, it is likely that the majority of students will perform well and score high marks. As a result, the shape of the histogram of scores would be skewed to the right (positively skewed).
This is because there would be a concentration of scores towards the higher end of the scoring scale, with fewer scores towards the lower end.
b. Conversely, if the exam is quite difficult, it is likely that many students will struggle and score low marks. In this case, the shape of the histogram of scores would be skewed to the left (negatively skewed). There would be a concentration of scores towards the lower end of the scoring scale, with fewer scores towards the higher end.
c. When half the students have had calculus and the other half have had no prior college math courses, and the exam emphasizes mathematical manipulation, it can lead to a bimodal distribution in the histogram of scores. This means that there would be two distinct peaks or clusters in the distribution, representing the two groups of students with different math backgrounds.
The calculus students may perform better on the mathematical manipulation aspects of the exam, resulting in one peak, while the students without prior college math courses may struggle and have a separate peak at lower scores.
Overall, the shape of the histogram of scores is influenced by the difficulty level of the exam and the varying abilities of the students taking the exam.
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1.) A ball of radius 14 has a round hole of radius 8 drilled through its center. Find the volume of the resulting solid.
2.) Find the volume of the solid obtained by rotating the region enclosed by the graphs of y=9/x2 and y=10-x2 and about the line y=-9
Answers
The volume of the solid can be calculated as: V = 2π ∫[c,d] x * (h(x) + 9) dx.
To find the volume of the resulting solid, we can subtract the volume of the hole from the volume of the ball.
The volume of the ball can be calculated using the formula for the volume of a sphere: V_ball = (4/3) * π * r^3, where r is the radius of the ball. In this case, the radius of the ball is 14, so we have: V_ball = (4/3) * π * 14^3.
The volume of the hole can be calculated using the formula for the volume of a cylinder: V_hole = π * r^2 * h, where r is the radius of the hole and h is the height of the hole. In this case, the radius of the hole is 8, and since it passes through the center of the ball, the height of the hole is equal to the diameter of the ball, which is 2 * 14. So we have: V_hole = π * 8^2 * (2 * 14).
The volume of the resulting solid is then given by: V_result = V_ball - V_hole.
To find the volume of the solid obtained by rotating the region enclosed by the graphs of y=9/x^2 and y=10-x^2 about the line y=-9, we can use the method of cylindrical shells.
The volume of a solid obtained by rotating a curve around a line is given by the formula: V = 2π ∫[a,b] x * h(x) dx, where a and b are the x-values where the curves intersect, and h(x) is the distance between the line of rotation and the curve at each x-value.
In this case, the curves y = 9/x^2 and y = 10 - x^2 intersect at two points, let's say x = c and x = d. The line of rotation y = -9 is parallel to the x-axis and is located 9 units below it.
The volume of the solid can be calculated as: V = 2π ∫[c,d] x * (h(x) + 9) dx.
To find the values of c and d, we need to solve the equation 9/x^2 = 10 - x^2. Once we have the values of c and d, we can evaluate the integral to find the volume of the solid.
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9. Let H be the set of all vectors of the form 3s. Find a 2s vector v in R3 such that H that H is a subspace of IR 3? Span {v). Why does this show 2t 10. Let H be the set of all vectors of the form 0.Show that H is a subspace of R3. (U'se the method of Exercise 9.) 11. Let W be the set of ali vectors of the formb where b and c are arbitrary. Find vectors u and v such that W Span (u, v. Why does this show that W is a subspace of R3? St 2s-t 4t 12 Let W be the set of all vectors of the form Show that W is a subspace of R4. (Use the method/of Exercise 11.)
Answers
9. H is a subspace of R3 as it contains a 2s vector [0, 2s, 0].
10. H is a subspace of R3 as it consists of the zero vector [0, 0, 0].
11. W is a subspace of R3 as it is spanned by the vectors [1,0,0] and [1,1,0].
12.W is a subspace of R4 as it is spanned by the vectors [1,2,0,0] and [0,-1,4,0].
9. To find a 2s vector v in R3 such that H is a subspace of R3, we can choose v = [0, 2s, 0]. This vector satisfies the condition of H being a subspace since it is of the form 2s, and any scalar multiple of v will also be of the form 2s, which is within H. Therefore, H is a subspace of R3.
0. Let H be the set of all vectors of the form [0, 0, 0]. To show that H is a subspace of R3, we can use the method from Exercise 9. By choosing v = [0, 0, 0],
we can see that H is closed under scalar multiplication and addition, as any scalar multiple or sum of the zero vector will still result in the zero vector. Therefore, H is a subspace of R3.
11. Let W be the set of all vectors of the form [b, c, 0], where b and c are arbitrary. To show that W is a subspace of R3, we need to find vectors u and v such that W is spanned by (u, v).
We can choose u = [1, 0, 0] and v = [0, 1, 0]. Any vector in W can be expressed as a linear combination of u and v, and therefore W is spanned by (u, v). This shows that W is a subspace of R3.
12. Let W be the set of all vectors of the form [s, 2s - t, 4t] in R4. To show that W is a subspace of R4, we can use the method from Exercise 11. By choosing u = [1, 2, 0, 0] and v = [0, -1, 4, 0],
we can observe that any vector in W can be expressed as a linear combination of u and v. Hence, W is spanned by (u, v), indicating that W is a subspace of R4.
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Can you answer it right now pls
Answers
Answer:
4 times 10 to the negative seventh power
Step-by-step explanation:
We can see that the decimal has 6 zeros before it, and then it’s 4.
since there are 7 digits after the decimal point, we put 10 to the negative seventh power.
that gives us 0.0000001
to get 0.0000004, we need to multiply ten to the negative seventh power (0.0000001) by 4
The answer is a. which is 4 x 10‐⁷
can someone actually help me with this please!
Answers
Answer:
y = -2x + 7
Step-by-step explanation:
When 2 lines are perpendicular, the relationship between their slopes m1 and m2 may be stated as
m1m2 = -1
Given the line
y = 1/2 x + 8
Comparing with the general equation of a line y = mx + c where m is the slope and c is the intercept
m = m1 = 1/2
Hence the slope of the perpendicular line m2
= -1/1/2
= -2
Given that the line passes through the points (1,5)
using the equation
y - y1 = m (x - x1)
y - 5 = -2(x - 1)
y = -2x +2 + 5
y = -2x + 7
Miss smith buys avocados for a family reunion. She needs 12 avocados, and she buys them in bags of 5. How many bags does Miss Smith need?
Answers
Answer:
3 bags
Step-by-step explanation:
Since the avocados come in bags of 5, she will need to buy 3 bags. This will give her 15 avocados which is more than the 12 avocados that she needs but we have to buy 3 bags or else she won't have enough. So she will just have 3 avocados left over.
hope that made sense lol but I know the answer is 3 bc u can't buy half a bag. <3
Solve the initial value problem below using the method of Laplace transforms. y" - 12y' + 72y = 40 e 4 y(0) = 1, y'(0) = 10
Answers
To solve the given initial value problem using the method of Laplace transforms, we need to perform the following steps:
Step 1: Take the Laplace transform of both sides of the given differential equation.
Step 2: Solve for the Laplace transform of y.
Step 3: Take the inverse Laplace transform to obtain y.
Step 4: Use the initial conditions to find the constants in the solution obtained in Step 3.1.
Taking the Laplace transform of both sides of the given differential equation: L{y" - 12y' + 72y} = L{40e⁴}L{y" - 12y' + 72y} = 40L{e⁴}.
Taking Laplace transform of y" term L{y"} - 12L{y'} + 72L{y} = 40L{e⁴}.
Using the Laplace transform property of derivatives,
we get:s²Y(s) - sy(0) - y'(0) - 12[sY(s) - y(0)] + 72Y(s) = 40/(s - 4)
Simplifying the above equation, we get: s²Y(s) - s - 10 - 12sY(s) + 12 + 72Y(s) = 40/(s - 4)⇒ s²Y(s) - 12sY(s) + 72Y(s) = 40/(s - 4) + s + 2
Using partial fraction decomposition, we can write the right-hand side of the above equation as:40/(s - 4) + s + 2 = [10/(s - 4)] - [10/(s - 4)²] + s + 2
Now, the given equation becomes:
s²Y(s) - 12sY(s) + 72Y(s) = [10/(s - 4)] - [10/(s - 4)²] + s + 2
Taking the Laplace transform of y(0) = 1 and y'(0) = 10, we get: Y(s) = (10s + 2 + 1)/[s² - 12s + 72]
Applying partial fraction decomposition to find Y(s),
we get: Y(s) = [3/(s - 6)] - [1/(s - 6)²] + [7/(s - 6)²] + [1/(s - 6)]
Taking the inverse Laplace transform of Y(s), we get: y(t) = [3e⁶t - 3te⁶t + 7te⁶t + e⁶t]
Using the initial conditions y(0) = 1 and y'(0) = 10, we get: y(0) = 1 = 1 + 0 + 0 + 1, y'(0) = 10 = 18 - 3 + 7 + 1
Therefore, the solution to the given initial value problem is: y(t) = [3e⁶t - 3te⁶t + 7te⁶t + e⁶t]
Answer: y(t) = [3e⁶t - 3te⁶t + 7te⁶t + e⁶t]
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Some pls help me I’ll give out brainliest please dont answer if you don’t know
Answers
Answer:
−
8
n
+
24
Step-by-step explanation:
Find the missing side. round to the nearest tenth.
Answers
Answer:
14.6
Step-by-step explanation:
Sin (59) = x/17
17*sin (59) = x
17*0.857=14.57
The value of x in the triangle is x = 14.581
We have,
From the triangle,
using the sin function.
Now,
sin = perpendicular/hypotenuse
So,
sin 59 = x/17
Now,
To solve for x in the equation sin(59°) = x/17, we can use the properties of trigonometric functions and algebraic manipulation.
First, let's isolate x by multiplying both sides of the equation by 17:
17 x sin(59°) = x
Using a calculator to evaluate sin(59°), we find:
17 x 0.857167 = x
Therefore,
The value of x is x = 14.581
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20, 17, 14
Write donn
the
4 th
term
Answers
Answer:
11
Step-by-step explanation:
you subtract 3 every time, so 14-3 = 11
Question is in picture
Answers
a^2 + b^2 = c^2 (long hypothenuse side)
1^2 + b^2 = 2^2
1 + b^2 = 4
b^2 = 3
b = square root 3 = 1.7321 round it
Solution: 1.7 ft
Answer: 1.7
Step-by-step explanation: We can use the pythagorean theorem!
A² + B² = C²
1² + B² = 2²
1 + B² = 4
4 - 1 = B²
3 = B²
√3 = B
1.7 = B
Hope this helps :)
The areas of the squares adjacent to two sides of a right triangle are shown below. What is the area of the squares adjacent to the third side of the triangle
Answers
Answer:
11 square units
Step-by-step explanation:
Find the diagram attached
First we need to find the side length of the square with known areas.
Area of a square = L²
L is the side length of the square
For the green square
44 = L²
Lg = √44
For the purple square
Ap = Lp²
33 = Lp²
Lp = √33
Get the length (L) of the unknown square using pythagoras theorem;
Lg² = L²+Lp²
(√44)² = L²+(√33)²
44 = L²+33
L² = 44-33
L² = 11
Since Al = L²
Hence the area of the square adjacent to the third side of the triangle is 11 square units
Please help me with this
Answers
Answer:
x=8
Step-by-step explanation:
The ratio of a side of PQRS to the corresponding side in TUVW. is 6:4=3:2.
The ratio of RS:VW=3:2. RS=12, and VW=x. 12:x=3:2. 3 multiplied by 4 is 12, so 2 multiplied by 4 is x. So, the makes x=8.
Mega Electronics Stores accepts any return for items bought within two weeks. The daily number of items returned follows a normal distribution with mean C and standard deviation 40.
C=260
What is the probability that fewer than 165 items are returned on a given day?
Answers
The required probability is 0.0087 (approximately).Note: The probability is less than 0.05. Hence, we can say that the event is rare.
C = 260 (mean)Standard deviation, σ = 40Let X be the number of items returned on a given day.As the number of items returned follows a normal distribution with mean C and standard deviation 40,Therefore,X ~ N (260, 40^2)We have to find the probability that fewer than 165 items are returned on a given day.i.e. P (X < 165).
We can find the standard score, z as follows.z = (X - μ) / σz = (165 - 260) / 40z = -2.375Now, we can find the probability as follows.P (X < 165) = P (Z < -2.375) = 0.0087 (approximately)Therefore, the required probability is 0.0087 (approximately).Note: The probability is less than 0.05. Hence, we can say that the event is rare.
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answer this please
don't send a link
Answers
Answer:
Supplementary angles
Step-by-step explanation:
AEB and BEC form a straight line.
They add to 180 degrees
AEB+ BEC
150+30
180
That means that they are supplementary angles
Answer: https://www.wattpad.com/story/73852998-feathers-itachi-uchiha-deidara-x-reader-lemon
Step-by-step explanation:
PLZ HELP IM BEING TIMED GIVING BRAINLIEST
Using the square root property solve (a - 10)² = 121
Answers
Answer:
21
Step-by-step explanation:
We know that the sqaure root of 121 = 11.
So, A - 10 = 11
=> A = 21
Answer:
a = -1 or a = 21
Step-by-step explanation:
take square root of each side to get:
a - 10 = [tex]\sqrt{121}[/tex]
a - 10 = 11; a = 21
a - 10 = -11; a = -1
Please use an appropriate formula for calculations.
How many solutions are there to the
equation:
a + b + c + d + e = 485
If each of a, b, c, d, and e is an integer that is at
least 10?
Answers
There are 169,322,412 solutions to the equation a + b + c + d + e = 485, where each variable is an integer that is at least 10.
To solve this problem, we can use the concept of stars and bars (or balls and urns). The stars and bars method is used to find the number of non-negative integer solutions to an equation of the form a₁ + a₂ + ... + aᵣ = n, where aᵢ represents non-negative integers.
In this case, we have the equation a + b + c + d + e = 485, with the constraint that each variable (a, b, c, d, e) is at least 10. We can introduce a new set of variables a' = a - 10, b' = b - 10, c' = c - 10, d' = d - 10, and e' = e - 10. This transformation ensures that each variable is now a non-negative integer.
Substituting these new variables into the equation, we get:
(a' + 10) + (b' + 10) + (c' + 10) + (d' + 10) + (e' + 10) = 485
Rearranging the equation, we have:
a' + b' + c' + d' + e' = 435
Now, we can apply the stars and bars method to find the number of non-negative integer solutions to this equation. The formula is given by:
Number of solutions = (n + r - 1) choose (r - 1)
where n is the total number to be partitioned (435 in this case) and r is the number of variables (5 in this case).
Using the formula, we have:
Number of solutions = (435 + 5 - 1) choose (5 - 1)
= 439 choose 4
Evaluating this expression:
Number of solutions = (439 * 438 * 437 * 436) / (4 * 3 * 2 * 1)
= 169,322,412
Therefore, there are 169,322,412 solutions to the equation a + b + c + d + e = 485, where each variable is an integer that is at least 10.
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If m3 is 52°, what is the measure of its vertical angle?
A.
128°
B.
38°
C.
52°
D.
142°
i need answer asap!
Answers
Answer:
C. 52 degrees
Step-by-step explanation:
Vertical angles share the same angle of measure.
Nita is making pizza.
She needs 3/4 cup of cheese to make one whole pizza .
She has 3/8
Nita can make exactly one whole pizza or less than or more than
Answers
Answer:
Less than
Step-by-step explanation:
To see how 3/4 compares to 3/8, give em the same denominator. The simplest way is to multiply 3/4 by 2. Multiply each the numerator and denominator by 2. That gives you 6/8. She needs 6/8 but only has 3/8, so less than a pizza.
Is it 10? Or no pls explain
Answers
Answer:
Yes
Step-by-step explanation:
6 + 10 would equal 16
You're right, have a great day!
Answer:
yes, it is 10
Step-by-step explanation:
Subtract 16 and 6 and you get 10.
Or Subtract 6 and 6 and subtract 16 and 6.
It'll still be 10 no matter what.
The tip of the second hand travels around the edge of the face of a clock. How far does the tip of the second hand travel between the 6 and the 12, if the length of the second hand is 6 inches?
Recall that StartFraction Arc length over Circumference EndFraction = StartFraction n degrees over 360 degrees EndFraction.
A) 3 pi
B) 6 pi
C) 12 pi
D) 24 pi
Answers
Answer: 3 inches
Step-by-step explanation: IT MIGHT BE IF ITS WRONG IM SORRRYYY
-6x-27=6
give me the answer please .
Answers
Answer:
-5.5
Step-by-step explanation:
-6x - 27 = 6
+ 27 +27
-6x = 33
÷-6 ÷-6
x = - 5.5
I am pretty sure the awnser is -5.5 because -6 Multiplied by -5.5 Is 33. 33 minus 27 is 6
Solve for xx to the nearest tenth.
Answers
Answer:
in right angled triangleBCD
BC=√{DC²-BC²)=√{10²-6²)=8
again in right angled triangle ABC
AB=√(BC²-AC²)
x=√(8²-7²)=3.87
Is (2, 3) a solution to the equation y = x - 1?
yes or no
and pls explain for i can lead this already
Answers
Answer: No
Step-by-step explanation: Because if you substitute the 2 for x and 3 for y it is not equal