Find the midpoint of the segment with the following endpoints
(5,5) and (1,1)
Answers
The midpoint of the segment given (5,5) and (1,1) is (3, 3).
What is midpoint?In geometry, the midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.
Coordinates of the midpoint of the line joining the points (x₁,y₁) and (x₂,y₂)= [(x₁ + x₂)/2 , (y₁ + y₂)/2].
The midpoint of the line segment with endpoints (5,5) and (1,1)
= [ ( 5 + (1))/2 , ((5) + 1)/2 ]
= [ (6)/2 , 6/2 ]
= [ 3, 3
Therefore, the midpoint of the line segment with endpoints is (3, 3).
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Related Questions
find the rate of change of a circle diameter with respect to radius.
Answers
The rate of change of the circle diameter with respect to the radius is a constant value of 2.
The diameter of a circle is twice the radius, so we can write:
Diameter = 2 * Radius
To find the rate of change of the diameter with respect to the radius, we can take the derivative of both sides of this equation with respect to the radius:
diameter/d(radius) = d(2 * radius)/d(radius)
The derivative of 2*radius with respect to radius is simply 2, so we can simplify the equation:
diameter/d(radius) = 2
Therefore, the rate of change of the circle diameter with respect to the radius is a constant value of 2. This means that if we increase the radius by a small amount, the diameter will increase by twice that amount. Conversely, if we decrease the radius by a small amount, the diameter will decrease by twice that amount.
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20 pt if you tell me who asked
Answers
Answer:
You are the one who has asked :))
Step-by-step explanation:
You have asked a question on this platform making you a Questioner!
Hope this helps!
Make sure to practice and study! ;)
suppose you are ordering a calzone from d.p. dough. you want 6 distict toppings, chosen from their list of 8 vegetarian toppings. how many choices do you have for calzone?
Answers
To order a calzone with 6 distinct topping from available list of 8 vegetarian toppings, number of choices of calzone available is 28.
Therefore, the answer is 28.
Total number of available toppings equals 8 and the number of toppings selecting is 6.
The number of ways calzone can be chosen with 6 distinct topping from 8 vegetarian toppings can be obtained by combination formula.
nCm = n!/ (m! × (n - m)!)
Therefore, the number of ways = nCm
= 8C6
= 8!/ (6! × (8 - 6)!)
= 8!/ (6! × 2!)
= (8 × 7)/ 2
= 28
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The cost of a ticket increases by 10% to £18.15
Work out the original cost.
Answers
Answer:
£16.50
Step-by-step explanation:
\(x \times (1+\frac{10}{100} )=18.15\)
\(x \times \frac{110}{100} =18.15\)
\(\frac{110}{100} x=18.15\)
\(1.1x=18.15\)
\(\frac{1.1x}{1.1}=\frac{18.15}{1.1}\)
\(x=16.5\)
Answer: £16.50
Step-by-step explanation:
Let the original cost be x
x + 10/100x = 18.15
1.1x = 18.15
x = 16.50
Find the mean of 9, 1, 3, 9, 3 graphically
Answers
Answer:
The mean is 3
Step-by-step explanation:
9+ 1+ 3+ 9+ 3= 15
15/5= 3
Write an expression that represents the height of a tree that begins at 2 feet and increases by 4 feet per year. Let y represent the number of years. PLEASE HELP ME
Answers
2+4y
Explanation:
The height of the tree increases by 4 feet per year, so we know to multiply 4 by the number of years to find its height. The initial height of the tree is 2, so we add 2 to 4y.
Example: The height of the tree in 6 years
2+4y
2+4*6
=2+24
=26
I hope this helps!
Answer:
2+4y
Step-by-step explanation:
Clifford is making a really big white cake for his sister’s birthday. The recipe calls for 1.5 times as much flour as sugar. It also calls for 1/2 as much butter as sugar. All the butter, flour, and sugar together total of 7.5 cups. How much butter, sugar and flour does Clifford need? Write and solve an equation. Remember to define your variable and to state your answer in a sentence.
Answers
To determine how much butter, sugar, and flour Clifford needs for the white cake, we can set up equations based on the given information. Let's use the variable "x" to represent the amount of sugar in cups.
Since the recipe calls for 1.5 times as much flour as sugar, the amount of flour needed would be 1.5x cups. Similarly, the amount of butter needed would be 0.5x cups, as it is half as much as the sugar.
The total amount of butter, sugar, and flour is given as 7.5 cups. Thus, the equation can be formed as follows:
x + 1.5x + 0.5x = 7.5
Combining like terms, we have:
3x = 7.5
Dividing both sides of the equation by 3, we find:
x = 2.5
Therefore, Clifford needs 2.5 cups of sugar, 1.5 times that amount (3.75 cups) of flour, and half that amount (1.25 cups) of butter to make the white cake for his sister's birthday.
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mark walked 21,129 feet in one hour. at that speed, how many miles will he walk in 2 hours
Answers
21,129/5280= 4 mph
multiply
4 x 2 = 8 miles in 2 hours
Answer: 23.129
Step-by-step explanation:
If Lin runs 21 laps at the same rate, how long does it take her?
minutes
Answers
5. What is the Boolean duality principle?
Answers
The Boolean duality principle is a fundamental concept in Boolean algebra which states that any statement or expression in the algebra can be transformed into an equivalent form by interchanging the roles of AND and OR operators, as well as 0's and 1's.
The Boolean duality principle, also known as De Morgan's laws, is a fundamental concept in Boolean algebra that states that every Boolean expression remains valid if you perform the following steps:
1. Swap AND (⋅) operators with OR (+) operators and vice versa.
2. Replace all 1's with 0's and all 0's with 1's.
3. Complement (invert) all variables.
In other words, the Boolean duality principle allows us to derive a dual expression from an original Boolean expression by applying these transformations. This principle is useful in simplifying Boolean expressions and designing digital circuits.
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Find the area please help
Answers
Answer:
9.45
Step-by-step explanation:
Answer:
9.45 cm squared
Step-by-step explanation:
1.5 times 6.3
i hope you give me a brainliest!!<£
Alex writes a simple Program to calculate the final cost of a purchase:cost <— 0.7tax <— 0.1 final <— cost + tax They're surprised to see that final Stores the value 0.7999999999999999 instead of 0.8.What is the best explanation for that result?A. The computer stored the result with floating-point representation instead of integer represantation.B. An integer overflow error occuredC The result was too large of a number to be stored in floating-point representation.D. The arithmetic operations on floating-point. numbers resulted ina round-off-error.
Answers
The best explanation for the rounding error in Alex's program is that the arithmetic operations on floating-point numbers resulted in a round-off error, as binary floating-point representation cannot represent the number 0.8 exactly. The correct option is D).
The best explanation for the result is that the arithmetic operations on floating-point numbers resulted in a round-off error. In most programming languages, floating-point numbers are represented using a finite number of bits, which can result in some rounding errors when performing arithmetic operations.
This can occur because some numbers cannot be represented exactly using the available bits. In this case, the number 0.8 cannot be represented exactly using binary floating-point representation, leading to a small rounding error.
While this error may seem insignificant, it can accumulate over multiple operations and lead to more significant errors in certain situations.
Therefore, it is important to be aware of the limitations of floating-point arithmetic when working with numerical data in programming. The correct option is D).
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Surface Area Math Question
Answers
Answer:
#ثوره_طلابية غاضبة على قرار وزاره التعليم العالي باصدارها القرار المجحف وعليه يبداء من الان الاعتصام الطلاب #والاضراب_عن_الدوام لحين تحقيق المطالب.
تعليم الكتروني = امــتـحـان الكتروني
تعليم حضوري = امــتـحـان حضوري
Graph f(x) = log base 3 x-1
Answers
Hello there. To solve this question, we have to remember how to graph a function.
First, remember that the logarithm in any base is an injective function (one-to-one).
We have to find its key-features before graphing it.
These key-features includes: x-intercept, y-intercept (if it exists), its vertical asymptote.
Okay. To find the x-intercept, set the function equal to zero:
\(f(x)=\log_3(x)-1=0\)Adding 1 on both sides, we get
\(\log_3(x)=1\)Apply the property:
\(\log_a(b)=c\Rightarrow b=a^c\)Hence we have
\(x=3^1=3\)So the x-intercept happens at x = 3.
To determine whether or not it has an y-intercept, we check if the limit as x goes to zero from both sides exists and are equal:
\(\begin{gathered} \lim_{x\to0^+}\log_3(x)-1=-\infty \\ \\ \lim_{x\to0^-}\log_3(x)=-\infty \end{gathered}\)In this case, this means we cannot evaluate this function at x = 0, so it doesn't have y-intercept(s).
Next, to determine its vertical asymptote, we check the value of x for which the argument goes to zero, that is
\(x=0\)Therefore it has a vertical asymptote at x = 0.
The graph is then given by:
This is a sketch of the graph of the function.
The final answer to this question is contained in the last option.
The _________________ states that if calculatuions are very cumbersome and if the sample size is no more than 5% of the size of the population, treat the selections as being independent.
Answers
The "finite population correction factor" or the "finite population correction" (FPC) is used to adjust the standard error of a sample statistic when the sample size is relatively large compared to the population size.
The statement is referring to the "finite population correction factor" or the "finite population correction" (FPC) which is used to adjust the standard error of a sample statistic when the sample size is relatively large compared to the population size.
Therefore, the blank should be filled with:
Finite Population Correction Factor
The finite population correction factor states that if calculations are very cumbersome and if the sample size is no more than 5% of the size of the population, treat the selections as being independent by adjusting the standard error of the sample statistic using the formula (N-n)/(N-1), where N is the population size and n is the sample size. The FPC corrects for the fact that the sampling is done without replacement, and it can improve the accuracy of the statistical inference.
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Sarah is training for a bike race. She rides her bike 5 3/4miles in 1/3hour. What is Sarah’s rate in miles per hour? Express your answer as a mixed number.
Answers
Answer:
3 31/76
Step-by-step explanation:
5 3/4 multiplied by 3 = 3 31/76
hope this helps
PLEASE HELP!!! And don’t be selfish and take my points. I really need some help
Answers
Answer:
20. 1/2 and 5/7 so the chance would be 5/14 or 20.83
19. 5/7 and 1/2 so it's 5/14 or 20.83 again
18. 2/7 and 11/1 so it's a 22/7 chance or 3.14
The lengths of two sides of a triangle are 11 and 17. Which
measurement cannot be the length of the third side? *
Answers
Answer:
Step-by-step explanation:
The third side must be less than 11+17 = 28 units
A group of friends is sharing 212 pounds of berries. If each friend received 54 of a pound of berries, how many friends are sharing the berries?
Answers
There are a total of 212 pounds of berries, and the number of friends sharing the berries is equal to 4.
What are arithmetic operations?The four basic operations of arithmetic can be used to add, subtract, multiply, or divide two or even more quantities.
They cover topics like the study of integers and the order of operations, which are relevant to all other areas of mathematics including algebra, data processing, and geometry.
As per the given information in the question,
The total amount of berries = 212 pounds
The number of berries received by each one = 54 pounds
Then, the number of friends sharing the berries is:
212/54 = 3.92 ≈ 4 friends.
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2x + 3y = 12
2x - y = 4
Answers
Answer:
The point of intersection between 2x+3y=12 and 2x-y=4 is (3,2)
Step-by-step explanation:
An image of a sailboat has one triangular sail that is labeled. The base corner labeled as a right angle. The base of the triangle is labeled 14 feet hypotenuse is labeled 38 feet
Answers
Using Pythagoras theorem, the height is: 35.33 ft
How to use Pythagoras theorem?Pythagoras Theorem is defined as the way in which you can find the missing length of a right angled triangle.
The triangle has three sides, the hypotenuse (which is always the longest), Opposite (which doesn't touch the hypotenuse) and the adjacent (which is between the opposite and the hypotenuse).
Pythagoras is in the form of;
a² + b² = c²
Applying Pythagoras Theorem gives us the height as:
h = √(38² - 14²)
h = √(1444 - 196)
h = √1248
h = 35.33 ft
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The attendance for the basketball game was estimated to be 15,000 people but 12,500
people attended. What was the percent error?
Answers
2,500/15,000 = 0.16666667
Round to percent = 16.67%
16.67% is the ANSWER
Figure A is a scale image of Figure B, as shown . The scale that maps figure A onto figure b is 1: 7 1/4
Answers
Figure A is a scale image of Figure B and the scale that maps Figure A onto Figure B is 1:7 1/4. This means that for every 1 unit of measurement in Figure A, there are 7 1/4 units of measurement in Figure B.
So, if you were to measure a line segment in Figure A that was 1 inch long, the corresponding line segment in Figure B would be 7 1/4 inches long. Similarly, if you were to measure a line segment in Figure A that was 2 inches long, the corresponding line segment in Figure B would be 14 1/2 inches long (2 x 7 1/4). I hope that helps! Let me know if you have any further questions.
Figure A is a scale image of Figure B with a scale ratio of 1:7.25 (7 1/4). This means that for every unit of length in Figure A, the corresponding length in Figure B is 7.25 times greater.
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If triangle ABC is congruent to triangle DEC angle b = x + 15 and angle e = 6x - 65
Answers
Answer:
x = 16
Step-by-step explanation:
Since the triangles are congruent, then corresponding angles are congruent.
∠ B and ∠ E are corresponding angles and congruent, thus
6x - 65 = x + 15 ( subtract x from both sides )
5x - 65 = 15 ( add 65 to both sides )
5x = 80 ( divide both sides by 5 )
x = 16
x = 16Step-by-step explanation:Since the triangles are congruent, then corresponding angles are congruent.∠ B and ∠ E are corresponding angles and congruent, thus6x - 65 = x + 15 ( subtract x from both sides )5x - 65 = 15 ( add 65 to both sides )5x = 80 ( divide both sides by 5 )x = 16
Step-by-step explanation:
HELP ME RIGHT NOW ON THIS QUESTION
Answers
Answer:
1500 ft^2
Step-by-step explanation:
The area of a triangle is \(\frac{bh}{2}\), where b = base and h = height. In this triangle, we're given the base as 120 and the height as 25. 120 × 25 is 3000, and 3000 divided by 2 is 1500 ft^2.
Therefore, the answer is 1500 ft^2.
Have a lovely rest of your day/night, and good luck with your assignments! ♡
. You have 17 birthday gifts! 9 came from your
family, the rest came from your friends. How many
gifts did your friends give you?
Answers
the variance and standard deviation are the most widely used measures of central location.
T/F
Answers
False , the variance and standard deviation are not measures of central location
Given data ,
The variance and standard deviation are not measures of central location but measures of dispersion or spread of a dataset
Measures of central location include the mean, median, and mode, which represent the typical or central value of a dataset
The variance and standard deviation are measures of dispersion or spread in a dataset. They provide information about how the values in a dataset are spread out around the mean.
In order to understand the variability or dispersion of data points within a dataset, one must take into account both the variance and standard deviation. They provide information on the range of values and aid in calculating how far away from the mean certain data points are. In statistics and data analysis, these metrics are frequently used to comprehend and evaluate the variance of various datasets.
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Which linear function represents the line given by the point-slope equation y - 8 = 1/2(x-4)?
Of(x) = x +4
Of(x) = x + 6
Of(x)=1/2x-10
Of(x)=1/2x-12
Answers
The linear function represents the line is y = 1/2x + 6
Linear functionsThese are functions that has a leading degree of 1. Given the function in slope-intercept form;
y - 8 = 1/2(x-4)
Make y the subject of the formula
y = 1/2(x - 4) + 8
Expand
y = 1/2x -4/2 + 8
y = 1/2x - 2 +8
y = 1/2x + 6
Hence the linear function represents the line is y = 1/2x + 6
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The absolute value of (2−7)=
Answers
That because anything in the absolute value that is a negative answer it will always be positive. Like 2-7 which supposed to equal to -5 but when it come in a absolute value the answer will be positive 5.
The absolute value is:
5Work/explanation:
First, we will evaluate 2-7.
It evaluates to -5.
Now, let's find the absolute value of -5 by using these rules:
\(\sf{\mid a\mid=a}\)
\(\sf{\mid-a \mid=a}\)
Similarly, the absolute value of -5 is:
\(\sf{\mid-5\mid=5}\)
Hence, 5 is the answer.Ruby just started a running plan where she runs 7 miles the first week and then increases the number of miles she runs by 10% each week. if she keeps up this plan for 26 weeks, how many total miles would ruby have run, to the nearest whole number?
Answers
Rounded to the nearest whole number, Ruby will have run about 65 miles.
What is the finite geometric series?
A finite geometric sequence is a list of numbers (terms) with an ending; each term is multiplied by the same amount (called a common ratio) to get the next term in the sequence. For example the sequence 5, 10, 20, 40, 80, … 320 ends at 320. Each term is multiplied by 2 to get the next term.
Ruby runs 7 miles the first week, then 7 * 1.1 = <<71.1=7.7>>7.7 miles the second week.
Ruby runs 7.7 * 1.1 = <<7.71.1=8.47>>8.47 miles in the third week.
This pattern continues for 26 weeks. We can use the formula for finding the sum of an arithmetic series to find the total number of miles Ruby will run:
7 + (7 * 1.1) + (7 * 1.1^2) + ... + (7 * 1.1^25)
This simplifies to:
7 * (1 + 1.1 + 1.1^2 + ... + 1.1^25)
Using the formula for the sum of a finite geometric series, we have:
7 * (1 - 1.1^26) / (1 - 1.1)
This simplifies to:
7 * (-0.8439) / (-0.0909) = 7 * 9.3 = <<7*9.3=65.1>>65.1
Hence, Rounded to the nearest whole number, Ruby will have run about 65 miles.
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