Points (-1,0). (1,3), and (5, -2) are three vertices of a parallelograi parallelograms can be created using these three vertices? Find the c tach point that could be the fourth vertex.
Answers
The fourth vertex of the parallelogram is (3,-5) .
What is a vertex?A vertex is a point on a polygon where the sides or edges of an object meet, or where two rays or line segments meet. The plural form of vertex is vertex.
vertex - side or edge
For example, in the figure above, points A, B, C, D, and E are vertices.
Let A(-1, 0), B(1, 3), C(5,-2) and D(x, y) be the vertices of a parallelogram ABCD taken in order. Since, the diagonals of a parallelogram bisect each other.
∴ Coordinates of the mid-point of AC=Coordinates of the mid-point of BD(
(\(\frac{-1+5}{2}\),\(\frac{0-2}{2}\))=(\(\frac{1+x}{2}\),\(\frac{3+y}{2}\))
(\(\frac{4}{2}\),\(\frac{-2}{2}\))=(\(\frac{1+x}{2}\),\(\frac{3+y}{2}\))
Equating both side coordinate respectively
\(\frac{1+x}{2}\)=2
1+x=4
x=3
\(\frac{3+y}{2}\)=-1
3+y=-2
y=-5
⇒x=3andy=-5
Hence, the fourth vertex of the parallelogram is (3,-5)
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Related Questions
Three cups of oatmeal are used to make 24 oatmeal cookies. How many cups of oatmeal are needed to make 36 oatmeal cookies?
someone please help me???
Answers
The clothing store got an order of 97 shirts. They have 4 racks to put the shirts on. If they put an equal number of shirts on each rack, how many shirts will be on each rack? What do you do with the remainder? Explain why.
Answers
The number of shirts on each rack is n = 24 shirts
Given data ,
Number of shirts = 97
Number of racks = 4
97 shirts / 4 racks = 24.25 shirts per rack
However, it's not possible to have a fraction of a shirt, as shirts are discrete items and cannot be divided into smaller parts. Therefore, we cannot evenly distribute 24.25 shirts on each rack.
On simplifying the equation , we get
In this instance, the remaining is 0.25 shirts, indicating that 0.25 shirts will remain after the shirts have been evenly distributed across the racks. We cannot utilize only a little portion of a garment, thus the rest is usually thrown away or not used.
Hence , it would be most practical to arrange the shirts as evenly as possible, giving each rack 24 shirts. The final shirt might then be put on any of the racks or set aside separately
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What is the difference between an outcome and an event?
Answers
Answer: Is this for math?
The result of a random experiment will be called an outcome, and combination of outcomes will be termed as event, i.e. An Event is a one or more outcome of an experiment.
For example: Whenever we do an experiment like rolling a die, we get an outcome, i.e. if we roll a die we get an outcome of 1, 2, 3, 4, 5, or 6.
An event is a set of outcomes. The event of rolling an even number with a die is the set.
{2, 4, 6}.
Also, We call the set of all possible outcomes of an experiment the sample space, and the sample space for the experiment of rolling a die is
Step-by-step explanation:
An outcome and an event are related but distinct concepts. explain below.
Outcome:
An outcome refers to a single possible result of an experiment or a random process.
In other words, it represents the individual elements of the sample space.
For example, when flipping a fair coin, the possible outcomes are heads and tails.
In rolling a standard six-sided die, the outcomes are the numbers 1, 2, 3, 4, 5, and 6.
Each outcome represents a specific and unique result that could occur in the given situation.
Event:
An event, on the other hand, is a collection or set of outcomes. It represents a specific combination of outcomes that have some significance or interest in the context of the experiment. Events can include one or more outcomes.
For example, in rolling a die, the event rolling an even number includes the outcomes 2, 4, and 6.
Another event could be rolling a number greater than 4, which includes the outcomes 5 and 6.
Events can be simple or compound.
Conclusion: an outcome is a single result of an experiment, while an event is a combination of one or more outcomes with some specific meaning or interest for the given situation.
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this is for a free badge lolz
Answers
Answer: lolz
Step-by-step explanation:
If the price of Renee's tire was $93.28, including a 6% tax, how much was the tire not including tax?
Answers
Answer:87.68
Step-by-step explanation:
Find the distance d between 21 and 22.Express your answer in exact terms and simplify, if needed.d=ImCO876-543+2+1+orA++ ++-9 -8 -7 -6 -5 -4 -3 -2+ Re1 2 3 4 5 6 7 8 9Cnu-2 +-3+-4-5+-6+
Answers
From the graph provided, the coordinates of the two points are;
\(\begin{gathered} z_1=(7,1) \\ z_2=(2,-7) \end{gathered}\)The distance between two points is;
\(\begin{gathered} d=\sqrt[]{(y_2-y_1)^2+(x_2-x_1)^2} \\ \text{Where;} \\ x_1=7,y_1=1,x_2=2,y_2=-7 \end{gathered}\)Then, we substitute the values into the formula, we have;
\(\begin{gathered} d=\sqrt[]{(-7-1)^2+(2-7)^2} \\ d=\sqrt[]{(-8)^2+(-5)^2} \\ d=\sqrt[]{64+25} \\ d=\sqrt[]{89} \end{gathered}\)The distance d, between the points is;
\(d=\sqrt[]{89}=9.4340\)on the coordinate grid ,the point (3,3) undergoes a translation 2 over 4 explain what this mean and give the coordinate of it's new position
Answers
Translation a units to the right (x,y) ➡️ (x+a, y)
Translation a units to the left (x,y) ➡️ (x-a,y)
Translation b units up (x,y) ➡️ (x,y+b)
Translation b units down (x,y) ➡️ (x,y-b)
i’m not the smartest person ever but hopefully this helps. good luck!!
THIS IS DUE NOW!!!!!!!!!!!!!
Answers
It is found that the lines c and d are parallel because and 2 and 6 are congruent.
We are given that the measure of the angle 2 , 6 and 7 are 27 degrees.
The measure of the angle 1 is 15 degree,
Since each of the pairs of opposite angles made by two intersecting lines are called vertical angles.
Here we can see that
angle 2 = angle 6 means they are alternate interior angles.
We can conclude that line c and d are parallel to each other.
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Write down a differential equation of the form whose all other solutions diverge from?
Answers
The differential equation of the form whose all other solutions diverge from is given by dy/dt = k(y - a), where k is a positive constant and a is the reference point.
To write down a differential equation of the form whose all other solutions diverge from, we can use the concept of an unstable equilibrium.
An unstable equilibrium occurs when a small perturbation from the equilibrium point causes the system to move away indefinitely.
A simple example of an unstable equilibrium is a ball balanced on top of a hill. If the ball is disturbed slightly, it will roll down the hill and not return to its original position.
To represent this in a differential equation, we can consider a system where the derivative of the dependent variable is proportional to the distance from a reference point.
Let's denote the dependent variable as y(t) and the reference point as a. The differential equation can be written as:
dy/dt = k(y - a)
Here, k is a constant that determines the rate at which the system moves away from the reference point. If k is positive, the system will diverge from a, while if k is negative, it will converge towards a.
In conclusion, the differential equation dy/dt = k(y - a) is of the form whose all other solutions diverge from the reference point a. The constant k determines the rate at which the system moves away from the reference point. If k is positive, the system will diverge from a, while if k is negative, it will converge towards a. This equation is a representation of an unstable equilibrium, where any deviation from the reference point causes the system to move away indefinitely.
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In triangle ABC, AB = 11 cm, BC = 9 cm and CA = 10 cm.
Find the area of triangle ABC.
Answers
Answer:
Area = 42.43 square cm
Step-by-step explanation:
Using Heron's Formula :
\(Area = \sqrt{s\times (s-a) \times (s-b) \times(s -c)} \ , \ where \ s \ =\ \frac{a+ b+ c}{2}\)
Find Area :
\(s = \frac{11 + 9 + 10 }{2} = \frac{30}{2} = 15\)
\(Area = \sqrt{15 \times ( 15 - 11 ) \times { (15 - 9 ) \times ( 15 -10)}\\\\\)
\(= \sqrt{15 \times 4 \times 6 \times 5}\\\\=\sqrt{1800}\)
\(= 42 . 43 \ cm^2\)
________ is concerned with making predictions about a population from analyzing a sample or through observations.
Answers
Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.
Here,
We have to find the concerned with making prediction about a population from analyzing a sample or through observation.
What is Inferential statistic?
Inferential statistics is used in measurements from the sample of subjects in the experiment to compare treatment groups and to make generalizations about the larger population of subjects.
Now,
Inferential statistic is concerned with making prediction about a population from analyzing a sample or through observation.
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The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet. What is the area of the backyard?
Answers
Answer:
150 square feet
Step-by-step explanation:
Step 1
Find the Length and Width of the backyard
The length of a rectangular backyard is 5 feet longer than the width of the backyard. The perimeter of the backyard is 50 feet.
Perimeter = 2L + 2W
L = Length, W = Width
L = 5 + W
Hence:
50 = 2(5 + W) + 2W
50 = 10 + 2W + 2W
Collect like terms
50 - 10 = 4W
40 = 4W
W = 40/4
W = 10 feet
We find L
L = 5 + W
L = 5 + 10 feet
L = 15 feet
Step 2
What is the area of the backyard?
Area of a rectangle = Length × Width
Area of the rectangular backyard = 15 feet × 10 feet
= 150 square feet
Given that f(x)=2x+1 and g(x)=-5x+2 slice for f(g(x)) when x=3?
Answers
Answer:
x = -25.
Step-by-step explanation:
If f(x) = 2x + 1, and g(x) = -5x + 2, then f(g(x)) = 2(-5x + 2) + 1 = -10x + 4 + 1 = -10x + 5.
f(g(x)) = -10x + 5, and x = 3.
-10 * 3 + 5
= -30 + 5
= -25.
Hope this helps!
equals 20+20=40 Expression value is
Answers
Answer:
expression is 20. +20...
find the distance between (0,6) and (0,8)
Answers
Answer:
2 units.
Step-by-step explanation:
8 - 6 = 2 units.
There is no need to use the distance formula as both points are on the y-axis. Its just a simple subtraction.
\( \huge \mathfrak \red{hey \: there}\)
\(\mathfrak \orange{answer}\)
\( \mathfrak \orange{ explanation}\)
Here,Given,\( x_1\) = 0 \( x_2\) = 0
\( y_1\) = 6 \( y_2\) = 8
\( \sqrt{ {(x_2 - x_1)}^{2} + {(y_2 - y_1)}^{2} } // \sqrt{ {(0 - 0)}^{2} + {(8 - 6)}^{2} } //\( \sqrt{ {(0)}^{2} + {(2)}^{2} } // \( \sqrt{ {(0 + 4} \)
Sam made a 70% on his test. If there were 80 questions on the test, how many did he get right?
Answers
Answer: He got 56 questions right.
Step-by-step explanation:
Answer:
Sam got 56 questions correct.
Step-by-step explanation:
If there were 80 questions on the test, sam got 56 correct in order to get a 70%.
To find this, you must find 70 percent of 80 questions. You first must turn 70% into a decimal, making it 0.70. You multiply this decimal by the 80 questions on the test. You then get 56. Meaning they got 56 right. I hope this helps!
how could you represent 0.614 using only 5 tenths
Answers
We can represent 0.614 using only 5 tenths as \(\mathbf{\dfrac{6.14}{10}}\)
What is a decimal number?A decimal is a number that is divided into two parts: a whole and a fraction. Between integers, decimal numbers are used to express the numerical value of complete and partially whole quantities.
The accepted method for representing both integer and non-integer numbers is the decimal number system.
From the given information, we are to represent 0.614 by using only 5 tenths.
5 tenths can be mathematically expressed as:\(\mathbf{=\dfrac{5}{10}}\)Representing 0.614 in the same form, we have:
\(\mathbf{=\dfrac{0.614\times 1000}{1\times 1000}}\)
\(\mathbf{=\dfrac{614}{1000}}\)
\(\mathbf{=\dfrac{6.14}{10}}\)
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Answer: 6.14/10
Step-by-step explanation:
Explain how to calculate the surface area of a composite figure in your own words.
Answers
Answer:
tik
Step-by-step explanation:
Answer:
Sample response: First separate the composite into component figures. Then find the surface area of each figure. A two-dimensional net can be used to find the surface area. Add the surface areas of the components. Then, subtract or exclude the areas of the figures that are shared.
consider the pharmaceutical company that desires an estimate of the mean increase in blood pressure of patients who take a new drug. the blood pressure increases (measured in points) for the 6 patients in the human testing phase are shown below. 1.7 3.0 0.8 3.4 2.7 2.1 what assumptions must be made in order for a 95% confidence interval for the mean increase in blood pressure to be valid?
Answers
If below assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
Describe Sampling?In statistics, sampling is the process of selecting a subset of individuals or objects from a larger population for the purpose of studying or estimating certain characteristics of the population. The subset of individuals or objects is known as a sample.
Sampling is often used when it is impractical or impossible to collect data on the entire population. By studying a representative sample, statisticians can make inferences about the population as a whole with a certain level of confidence.
In order for a 95% confidence interval for the mean increase in blood pressure to be valid, the following assumptions must be made:
Random sampling: The patients included in the study must be selected at random from the population of interest (i.e. patients who would take the drug in the real world). This helps to ensure that the sample is representative of the population and reduces the risk of bias in the results.Independence: The measurements of blood pressure increases for each patient must be independent of each other. This means that the blood pressure increase for one patient should not be influenced by the blood pressure increase of another patient.Normality: The distribution of blood pressure increases in the population of interest should be approximately normal. This assumption is important because it allows us to use parametric statistical methods to estimate the mean increase in blood pressure and calculate the confidence interval.Equal variance: The variance of blood pressure increases should be approximately equal across the population of interest. This assumption is important because it allows us to use a pooled variance estimate in calculating the confidence interval, which can improve the precision of the estimate.If these assumptions are not met, then the validity of the confidence interval may be compromised, and alternative methods may need to be used to estimate the mean increase in blood pressure.
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pls help for brainliest answer
Answers
Answer:
189.3cm2
Step-by-step explanation:
Divide the whole figure into 2 parts. One part as a rectangle and the other as a semicircle ( half a circle). First find the area of the rectangle, 10 times 15 which will get you 150cm2. Next to find the area of the semicircle do \(\pi\) times 5 times 5 times half. You will get an amount like 39.26990817 but do not worry for now. Just keep it like that. Then add this amount with 150 and you will get an amount like 189.2699082
Then round it of to one decimal place and you will get 189.3cm2
“Place brackets to make the statement true.”
A) 3^2 + 4 x square root of 49 - 4 = 39.
I did 3^2 + 4 x (square root of 49 - 4) = 39. Is that right? Please help!! tyy!
Answers
Step-by-step explanation:
please mark me as brainlest
Simplify the following expression by distribution 1/2 (8-4g)
Answers
To simplify by distribution you multiply the term outside the parenthesis by the terms inside the parenthesis:
\(\begin{gathered} \frac{1}{2}(8-4g)=\frac{1}{2}\cdot8-\frac{1}{2}\cdot4g \\ \\ =\frac{8}{2}-\frac{4}{2}g \\ \\ =4-2g \end{gathered}\)Then, the given expression simplified is 4 - 2gWhich statements are true regarding quadrilateral ABCD? Check all that apply. ABCD has congruent diagonals. ABCD is a rhombus. ABCD is not a rectangle. ABCD is not a parallelogram. ABCD has four congruent angles
Answers
Answer:
ABCD has congruent diagonals.
ABCD is a rhombus.
ABCD has four congruent angles
Step-by-step explanation:
The following statements would be considered true
1. The quadrilateral ABCD could have the congruent diagonals as the diagonals are perpendicular
2. ABCD would be treated as the rhombus as it is a regular quadrilateral
3. ANd, It Have the four congruent angles that means the four angles be 90 degrees
The other statements would be false.
Answer:
A,B,E
Step-by-step explanation:
Edge 2021
Find in degrees.
11
B
6
[?]°
Round to the nearest hundredth.
Enter
![Find in degrees.11B6[?]Round to the nearest hundredth.Enter](https://i5t5.c14.e2-1.dev/h-images-qa/contents/attachments/CYCaCKOS5rJ6EAQOc1uRnNCw8kyROhMt.png)
Answers
Answer:
\( \beta = 28.610\)
Step-by-step explanation:
in this case we have a right angled triangle, whenever you see this triangle think of the TRIG RATIOS * sin, cos & tan* but if it was another triangle besides right angled triangle you use SINE RULE OR COSINE RULE
SOLUTION
\( \tan( \beta ) = \frac{opposite}{adjecent} \\ \tan( \beta ) = \frac{6}{11} \\ \beta = tan(inverse)( \frac{6}{11} ) \\ \beta = 28.61045\)
consider the curve defined by -8x^2+5xy+y^3=-149
Answers
The curve defined by the equation -8x^2 + 5xy + y^3 = -149 represents a relationship between the variables x and y. This equation defines a curve in the two-dimensional plane
We need to analyze the curve defined by the equation -8x^2+5xy+y^3=-149. This curve is a 2-dimensional object that can be plotted on a Cartesian coordinate system. In order to plot the curve, we need to first rewrite the equation in terms of y. Once we have the equation in terms of y, we can plot the curve by choosing different values of x and solving for y. This will give us a set of points that we can then plot on a graph. By connecting these points, we can create a visual representation of the curve.
In conclusion, to analyze the curve defined by the equation -8x^2+5xy+y^3=-149, we need to rewrite the equation in terms of y and then plot the curve by choosing different values of x and solving for y. This will give us a set of points that we can then plot on a graph. By connecting these points, we can create a visual representation of the curve.
To consider the curve defined by the equation -8x^2 + 5xy + y^3 = -149, we can analyze its features and discuss some of its properties. This curve is a type of implicit function, meaning that it is not possible to isolate either x or y to create an explicit function. Nonetheless, the equation is still useful for understanding the relationship between x and y.
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Verify that fand g are inverse functions (both questions please)
Answers
Answer:
hope it helps you..,.....,..........
Given: 9x>-36.
Choose the solution set.
O [xlx>-4)
O'{x1x<-4}
O [xlx>4)
O [xlx<4)
Answers
[x | x > -4)
This can be read as "the set of all x such that x is greater than -4."
annie measured a city park and made a scale drawing. the scale of the drawing was 1 millimeter : 4 meters. the soccer field is 28 millimeters long in the drawing. how long is the actual field?
Answers
Answer:
Step-by-step explanation:
34 millimeter
miles is painting his bedroom and the guestroom he uses 8 gallons in the bedroom and 1/4 of that amount in the guestroom whats the amount he uses in the bedroom
Answers
Answer:
Amount of paint used in the bedroom = 8 gallons
Amount of paint used in the guestroom = 2 gallons
Step-by-step explanation:
It is stated clearly in the question that miles uses 8 gallons in the bedroom
Therefore, the amount of paints used in the bedroom = 8 gallons
He uses 1/4 of the amount used in the bedroom in the guestroom
Therefore, the amount used in the guestroom = 1/4 * 8
The amount used in the guestroom = 2 gallons
Anyone know what’s the answer to this ?
Answers
Answer:
Yes
Step-by-step explanation:
The answer I got was Yes
sorry if it's wrong