determine whatever ABCD is a parallelogram by using the midpoint formula.
A(3,3) B (1.2) C(-3.1) D (-1.4)
Answers
Answer:
Not a parallelogram.
Step-by-step explanation:
By the midpoint formula, the midpoint of a segment between \((x_{0},\, y_{0})\) and \((x_{1},\, y_{1})\) is:
\(\begin{aligned} \left(\frac{x_{0} + x_{1}}{2},\, \frac{y_{0} + y_{1}}{2}\right)\end{aligned}\).
A quadrilateral is a parallelogram if and only if the midpoints of the two diagonals are the same.
The two diagonals of quadrilateral \({\sf ABCD}\) are segment \(\sf{AC}\) and segment \({\sf BD}\), respectively.
Using the midpoint formula, the midpoint of segment \({\sf AC}\) (between \({\sf A}\; (3,\, 3)\) and \({\sf C}\; (-3,\, 1)\)) would be:
\(\begin{aligned} & \left(\frac{3 + (-3)}{2},\, \frac{3 + 1}{2}\right) \\ =\; & (0,\, 2)\end{aligned}\).
Likewise, the midpoint of segment \({\sf BD}\) (between \({\sf B}\; (1,\, 2)\) and \({\sf D}\; (-1,\, 4)\) would be \((0,\, 3)\).
Thus, quadrilateral \({\sf ABCD}\) would not be a parallelogram since the midpoints of its two diagonals are not the same.
Related Questions
A cafeteria offers oranges, apples, or bananas as its fruit option. It offers peas, green beans, or carrots as the vegetable option. Find the number of fruit and vegetable options. If the fruit and the vegetable are chosen at random, what is the probability of getting an orange and carrots? Is it likely or unlikely that a customer would get an orange and carrots?
Answers
i don't know please answer me
what % of $1500 is $1395
Answers
Answer:
93%
Step-by-step explanation:
divide 1395 by 1500
0.93
0.93=93%
Answer:
93%
Step-by-step explanation:
This problem can be best solved with a proportion! First, we can set up one side of the proportion with the two values that are given to us. It will look something like this:
\(\frac{1395}{1500}\)
Next, we need to set up the other side. Since we are solving for a percent, we know that our x will be out of 100. This side will look something like this:
\(\frac{x}{100}\)
Next, we need to set them equal to each other and solve for x.
\(\frac{1395}{1500} = \frac{x}{100}\)
To solve, just cross multiply and divide. Multiply 1395 by 100 to get 139,500. Next, divide 139,500 by 1500 to get a final answer of 93%! Hope this helps!
Helppppp super confused !
Answers
The expression that is equivalent is 6(y + 1) and 6y + 6.
The expression that are not equivalent are 3(x + 3) and 3x + 6 and x(x + 4) and x² + 4.
How to find equivalent expression?Two expressions are said to be equivalent if they have the same value irrespective of the value of the variable(s) in them.
Equivalent algebraic expressions are those expressions which on simplification give the same resulting expression.
Now, let's check if the expression are equivalent by simplifying it.
3(x + 3) and 3x + 6
3x + 9 and 3x + 6
Therefore, the expressions are not equivalent.
6(y + 1) and 6y + 6
6y + 6 and 6y + 6
They are equivalent expression.
x(x + 4) and x² + 4
x² + 4x and x² + 4
They are not equivalent expression.
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24.7% of the products in the local shop are specialty soaps. 76% of those soaps are made with fresh herbs. if there are 350 bars of specialty soap in the shop, approximately how many of them are not made with fresh herbs? round your answer up to nearest whole number
Answers
we know that 76% of the specialty soaps are made with fresh herbs, and we also know that there are a total of 350 specialty soap bars, so how many are made with fresh herbs? well, just 76% of those 350
\(\begin{array}{|c|ll} \cline{1-1} \textit{\textit{\LARGE a}\% of \textit{\LARGE b}}\\ \cline{1-1} \\ \left( \cfrac{\textit{\LARGE a}}{100} \right)\cdot \textit{\LARGE b} \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{76\% of 350}}{\left( \cfrac{76}{100} \right)350}\implies 266\)
In a candy factory, each bag of candy contains 300 pieces. The bag can be off by 10 pieces.
Write an absolute value inequality that displays the possible number of candy pieces that a bag contains.
Answers
Answer:
\( |x - 300| \leqslant 10\)
what results In ridge regression, choosing a very large \lambdaλ penalty strength
Answers
In ridge regression, the penalty strength parameter, represented by \lambda», controls the trade-off between fitting the training data well and keeping the model coefficients small.
When a very large penalty strength is chosen, it results in a higher degree of shrinkage of the regression coefficients towards zero. This means that the model becomes less complex and less likely to overfit the training data. However, it also means that the model may become too biased towards the null hypothesis, leading to underfitting and decreased predictive power. Therefore, choosing the right value of \lambdaλ is crucial for achieving optimal performance in ridge regression.
In ridge regression, choosing a very large λ (lambda) penalty strength results in a higher regularization effect, which helps to reduce overfitting by shrinking the coefficients of the independent variables towards zero. This helps to create a more generalized model by controlling the complexity of the model. However, choosing a λ value that is too large can also result in underfitting, as the model may become too simple to capture the underlying relationships in the data effectively.
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Which of the equations below represents a line perpendicular to the yaxis?
A. y= -6
B. x= 6
C. y=6x
D. y=x
Answers
Answer:
A. y=-6
Step-by-step explanation:
Using the answer, it would make a horizontal line which would be perpendicular to the y axis.
Need help asap! thanks!
Answers
The opposite sides are parallel to each other because the opposite sides have the same slope value.
What is the Slope of Parallel Sides/Lines?When two sides or lines are parallel to each other, the value of their slope would be the same.
Slope of WZ = rise/run = -1/3
Slope of XY = rise/run = -1/3
Slope of XW = rise/run = 3/2
Slope of XW = rise/run = 3/2
Therefore, since the slopes of the opposite sides, then they are parallel to each other.
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The projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s2. A rocket is launched from the ground at an initial velocity of 39.2 meters per second. Which equation can be used to model the height of the rocket after t seconds? s(t) = –4.9t2 + 39.2 s(t) = –4.9t2 + 39.2t s(t) = –4.9t2 + 39.2t + 39.2 s(t) = –4.9t2 + 39.2t – 39.2
Answers
Answer:
s(t) = -4.9t² + 39.2t
Step-by-step explanation:
Given the projectile motion of an object can be modeled using s(t) = gt2 + v0t + s0, where g is the acceleration due to gravity, t is the time in seconds since launch, s(t) is the height after t seconds, v0 is the initial velocity, and s0 is the initial height. The acceleration due to gravity is –4.9 m/s²
Given
g = -4.9m/s²
v0 = 39.2m/s
s0 = 0m (the initial height)
On substituting into the formula;
s(t) = gt² + v0t + s0
s(t) = -4.9t² + 39.2t + 0
s(t) = -4.9t² + 39.2t
This gives the equation that models the height
Answer:
b
Step-by-step explanation:
edge 2020
a health-conscious student faithfully wears a device that tracks his steps. suppose that the distribution of the number of steps he takes is normally distributed with a mean of 10,000 and a standard deviation of 1,500 steps. what percent of the time does he exceed 13,000 steps? group of answer choices 0.0228 0.05 0.95 0.972
Answers
The percentage of time he exceeds 13,000 steps is 2.28% or 0.0228.
Percentage
Use the percentage formula to express a number or percentage in terms of 100. % simply indicates one out of one hundred. An expression for a number between 0 and 1 can be made using the percentage formula. It is a number that is represented as a fraction of 100. The sign % is used to denote it and it is mostly used to compare and calculate ratios. The formula for percentage increases is the ratio of the increased value to the original value multiplied by 100. It is described in percentage form. If anything is valued more highly, both its value and proportion will rise.
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Which one is correct? Please hurry <3
Answers
Answer:
1500
Step-by-step explanation:
I did the math and got it right
what's 123 to the nearest hundred
Answers
123 rounds to 100
Please help me I need this answer
Answers
The feature that will be the same as the original is:
The perimeter is the same.
The coordinate of C' is (3, 4).
The slope of A'C' is 1/4.
We have,
To rotate a point 180 degrees clockwise around another point, you can follow these steps:
- Calculate the displacement vector from the center of rotation to the point you want to rotate.
- Reverse the direction of the displacement vector.
- Apply the reversed displacement vector to the center of rotation.
- Let's apply these steps to each vertex of triangle ABC to find the coordinates of A', B', and C'.
So,
- Coordinate of A' (rotated point of A around (3, 4)):
Displacement vector: (A' - Center of rotation) = (A - Center of rotation) = (-5, 2) - (3, 4) = (-8, -2).
Reverse the direction of the displacement vector:
Reversed displacement vector: (-8, -2) * (-1) = (8, 2).
Apply the reversed displacement vector to the center of rotation:
Coordinate of A': (3, 4) + (8, 2) = (11, 6).
- Coordinate of B' (rotated point of B around (3, 4)):
Displacement vector: (B' - Center of rotation) = (B - Center of rotation) = (-2, 5) - (3, 4) = (-5, 1).
Reverse the direction of the displacement vector:
Reversed displacement vector: (-5, 1) * (-1) = (5, -1).
Apply the reversed displacement vector to the center of rotation:
Coordinate of B': (3, 4) + (5, -1) = (8, 3).
- Coordinate of C' (rotated point of C around (3, 4)):
Displacement vector: (C' - Center of rotation) = (C - Center of rotation) = (3, 4) - (3, 4) = (0, 0).
Reverse the direction of the displacement vector:
Reversed displacement vector: (0, 0) * (-1) = (0, 0).
Apply the reversed displacement vector to the center of rotation:
Coordinate of C': (3, 4) + (0, 0) = (3, 4).
So,
The coordinate of A' is (11, 6).
The coordinate of B' is (8, 3).
The coordinate of C' is (3, 4).
To find the perimeter and area of a triangle, we can use the coordinates of its vertices.
Let's start by finding the perimeter and area of triangle ABC.
Triangle ABC:
A = (-5, 2)
B = (-2, 5)
C = (3, 4)
The perimeter of triangle ABC:
The perimeter of a triangle is the sum of the lengths of its sides. We can use the distance formula to calculate the lengths of each side and then sum them up.
Length of side AB:
\(d_{AB} = \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\)
= √((-2 - (-5))² + (5 - 2)²)
= √(3² + 3²)
= √(18)
= 3√2
Length of side BC:
\(d_{BC} = \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\)
= √((3 - (-2))² + (4 - 5)²)
= √(5² + 1²)
= √(26)
Length of side CA:
\(d_{CA}= \sqrt((x_2 - x_1)^2 + (y_2 - y_1)^2)\)
= √((-5 - 3)² + (2 - 4)²)
= √((-8)² + (-2)²)
= √(64 + 4)
= √(68)
= 2√17
The perimeter of triangle ABC:
\(P_{ABC} = d_{AB} + d_{BC} + d_{CA}\)
= 3√2 + √26 + 2√17
Area of triangle ABC:
The area of a triangle can be calculated using the coordinates of its vertices with the Shoelace formula.
Area of triangle ABC:
A_ABC = 1/2 x |(x1 x y2 + x2 x y3 + x3 x y1) - (y1 x x2 + y2 x x3 + y3 x x1)|
= 1/2 x |((-5 x 5) + (-2 x 4) + (3 x 2)) - ((2 x -2) + (5 x 3) + (4 x -5))|
= 1/2 x |(-25 - 8 + 6) - (-4 + 15 - 20)|
= 1/2 x |-27 - (-9)|
= 1/2 x |-27 + 9|
= 1/2 x |-18|
= 9
Now let's find the perimeter and area of triangle A'B'C', which is the rotated triangle of ABC.
Triangle A'B'C':
A' = (11, 6)
B' = (8, 3)
C' = (3, 4)
The perimeter of triangle A'B'C':
Using the same approach as before, we calculate the lengths of the sides:
Length of side A'B':
d_A'B' = √((x2 - x1)^2 + (y2 - y1)^2)
= √((8 - 11)^2 + (3 - 6)^2)
= √((-3)^2 + (-3)^2)
= √(18)
= 3√2
Length of side B'C':
d_B'C' = √((x2 - x1)^2 + (y2 - y1)^2)
= √((3 - 8)^2 + (4 - 3)^2)
= √((-5)^2 + 1^2)
= √(26)
Length of side C'A':
d_C'A' = √((x2 - x1)^2 + (y2 - y1)^2)
= √((3 - 11)^2 + (4 - 6)^2)
= √((-8)^2 + (-2)^2)
= √(68)
= 2√17
The perimeter of triangle A'B'C':
P_A'B'C' = d_A'B' + d_B'C' + d_C'A'
= 3√2 + √26 + 2√17
Area of triangle A'B'C':
Using the same Shoelace formula as before:
Area of triangle A'B'C':
A_A'B'C' = 1/2 x |(x1 x y2 + x2 x y3 + x3 x y1) - (y1 x x2 + y2 x x3 + y3 x x1)|
= 1/2 x |((11 x 3) + (8 x 4) + (3 x 6)) - ((6 x 8) + (3 x 3) + (4 x 11))|
= 1/2 x |(33 + 32 + 18) - (48 + 9 + 44)|
= 1/2 x |(83) - (101)|
= 1/2 x |-18|
= 9
Now,
The perimeter of triangle ABC is 3√2 + √26 + 2√17, and the area of triangle ABC is 9.
The perimeter of triangle A'B'C' is 3√2 + √26 + 2√17, and the area of triangle A'B'C' is 9.
The slope of A'C' can be calculated using the coordinates of A' and C'.
The slope of a line can be calculated using the formula:
slope = (y2 - y1) / (x2 - x1)
For A'(11, 6) and C'(3, 4), the slope of A'C' is:
slope = (4 - 6) / (3 - 11)
= -2 / -8
= 1/4
Thus,
The feature that will be the same as the original is:
The perimeter is the same.
The coordinate of C' is (3, 4).
The slope of A'C' is 1/4.
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Two people are walking along a hill. The first person starts at 4 feet above ground and goes down 3 feet per minute. The second person starts 2 feet below ground and goes up 3 feet per minute. Write and solve a system of equations that represents this situation.
Answers
Answer:
the first person, y=4-3x
the second person, y=2+3x
What is 3.457 rounded to the nearest tenth
Answers
Vvvvcghcfyhcxdvvcx
help?????????????????????????
Answers
Step-by-step explanation:
pythagoras theorem dictates that for right triangles, a squared plus b squaredequals c squared.
7*7+x*x=14*14
49+x*x=196
x*x=147
square root of 147, I believe
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answers
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
x=(76.5)-302
x=380-302=78
if measure angle NKL = 7x-5 and measure angle JKM = x+3 find measure angle JKN
Answers
Which transformation shows a rigid motion help ASAP
Answers
Answer:
d
Step-by-step explanation:
Because it looks rigid
If a cheetah can run at a speed of 70 mph, how far can it travel in 2 minutes
Answers
Answer:140mph
Step-by-step explanation:
The length of a rectangle is 4 inches more than 3 times its width. The perimeter of the rectangle is 48 inches. What are the length and width of the rectangle?
Answers
The length and width of the rectangle is found as 19 inches and 5 inches respectively.
What is defined as the perimeter of rectangle?To calculate the perimeter, or distance all around rectangle, add all four side lengths. This can be done quickly by adding the width and height and then multiplying the total by two because each side length has two lengths. The perimeter formula is perimeter = 2(length + width).Now, as per the given question;
Let width of a rectangle = w inches
Then, length of a rectangle = 3w + 4
Perimeter of a rectangle = 2(length + width)
Substitute the values in the formula of perimeter.
48 = 2(3w + 4 + w)
48/2 = 4w + 4
24 = 4w + 4
20 = 4w
w = 5
Thus, the width of the rectangle is 5 inches.
Put w = 5 inches in its length.
l = 3w + 4
l = 3×5 + 4
l = 15 + 4
l = 19 inches.
Therefore, the length of rectangle is found as 19 inches.
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I don’t understand this, can someone please explain and show the answers please
Answers
your answer would be A. 122/27
On the coordinate plane, point A is located at ( – 9, – 4) and point B is located at ( – 1,y). The distance between points A and B is 10 units. What are the two possible locations of point B? ,
Answers
The two possible locations of point B are (–1, 2) and (–1, –10).
To find the two possible locations of point B, we can use the distance formula:
distance =
\(√[(x₂ - x₁)² + (y₂ - y₁)²]\)
where x₁ and y₁ are the coordinates of point A, and x₂ and y₂ are the coordinates of point B.
We know that the distance between points A and B is 10 units, so we can plug in the values and simplify the equation:
\(10 = √[(-1 - (-9))² + (y - (-4))²]\)
\(10 = √[64 + (y + 4)²]\)
\(100 = 64 + (y + 4)²\)
\(36 = (y + 4)²\)
±6 = y + 4. Solving for y, we get two possible values: y = 2 or y = -10.
These points are located on a vertical line passing through x = –1, with point A being 10 units away in the left direction.
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Which expression is equivalent to 10x2 + (6x − 8x2) + 3 − (9x +4)?
Answers
You are missing expression..
But if you simplify you can find the answer (given below)
Answer:
\(2x^2-3x-1\)
Step-by-step explanation:
\(10x^2+\left(6x-8x^2\right)+3-\left(9x+4\right)\)
\(\mathrm{Apply\:rule}:\quad \:a+\left(b+c\right)=a+b+c\)
\(10x^2+\left(6x-8x^2\right)=10x^2+6x-8x^2\)
\(=10x^2+6x-8x^2+3-\left(9x+4\right)\)
\(\mathrm{Group\:like\:terms}\)
\(=-\left(9x+4\right)+10x^2-8x^2+6x+3\)
\(\mathrm{Add\:similar\:elements:}\:10x^2-8x^2=2x^2\)
\(=-\left(9x+4\right)+2x^2+6x+3\)
\(\mathrm{Apply\:the\:distributive\:law}:\quad \:-\left(a+b\right)=-a-b\)
\(-\left(9x+4\right)=-9x-4\)
\(=-9x-4+2x^2+6x+3\)
\(\mathrm{Group\:like\:terms}\)
\(=2x^2-9x+6x-4+3\)
\(\mathrm{Add\:the\:numbers:}\:-4+3=-1\)
\(=2x^2-9x+6x-1\)
\(\mathrm{Add\:similar\:elements:}\:-9x+6x=-3x\)
\(=2x^2-3x-1\)
Answer = \(2x^2-3x-1\)
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A construction crew was made up of 12 men and the rest women. If 40% of the crew were men, how many women were in the crew
Answers
Answer:
Step-by-step explanation:
12 is 40% of what number?
30.
what is 60% of 30?
18
boom
What is DF? Help me please :)
Answers
The value of DF = 20.
What is similarity?Two objects are similar if they have the same shape, or one has the same shape as the mirror image of the other.
Given:
Using theorem
If two triangles are similar, then the ratio of the area of both triangles is proportional to the square of the ratio of their corresponding sides.
ΔSDF/Δ RTY = (SD/RT)= (DF/TY)= (FS/ YR)
ar ΔSDF² / ar ΔRTY² = 16/81
SD/ RT = 4/9
SD = 4x, RT= 9x
SD= 8
4x = 8
x = 2
So,
RT= 9*2 = 18
SF = RT -2
SF = 16
(SD/RT)= (FS/ YR)
8 / 18 = 16/ YR
YR= 36
TY= 9 +RY = 45
(DF/TY)= (FS/ YR)
DF / 45= 16/ 36
DF=20
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What is the additive inverse of -4x + 13?
Answers
The additive inverse of -4x + 13 is 4x - 13
How to determine the additive inverseThe additive inverse of a number is the number that, when added to it, results in zero.
For the given expression -4x + 13, its additive inverse is a number, let's call it y, such that:
-4x + 13 + y = 0
To solve for y, we can isolate y on one side of the equation by subtracting 13 from both sides:
y = 4x - 13
Therefore, the additive inverse of -4x + 13 is 4x - 13
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What is function and not function?
Answers
Answer: A function is a relation between domain and range such that each value in the domain corresponds to only one value in the range. Relations that are not functions violate this definition. They feature at least one value in the domain that corresponds to two or more values in the range.
Step-by-step explanation:
Joanna went school supply shopping. She spent $21.45 on notebooks and pencils. Notebooks cost $1.97 each and pencils cost $1.16 each. She bought a total of 15 notebooks and pencils. How many of each did she buy?
A.
5 notebooks; 10 pencils
B.
3 notebooks; 12 pencils
C.
8 notebooks; 7 pencils
D.
10 notebooks; 5 pencils
Answers
Answer:
A) 5 notebooks, 10 pencils
Step-by-step explanation:
n = notebook
p = pencil
1.97n + 1.16p = 21.45
A)✅
1.97(5) + 1.16(10) = 21.45
9.85 + 11.6 = 21.45
21.45 = 21.45
B) ❌
1.97(3) + 1.16(12) = 21.45
5.91 + 13.92 = 21.45
19.83 = 21.45
You roll a 6-sided die two times.
What is the probability of rolling a number less than 4 and then rolling a number less than 47
Write your answer as a percentage.
Answers
Answer:
as a non percent 3/6 or 50%
Step-by-step explanation:
A number less than 4 would be 1,2 and 3 so you have 3/6 die chance
Vs. 1,2,3,4,5,6 which are all under 47 so rolling a number like that would be 100% or 6/6