The coordinates of the mid - point are - M(2, 2.5).
We have two coordinate points - A(2, 1) and B(2, 4)
We have to find the midpoint of this line AB.
What is Mid - Point Theorem?It states that a line with endpoint coordinates as - [x(1), y(1)] and [x(2), y(2)] has its mid - point at the coordinates -
x(m) = [tex]$\frac{x(1)+x(2)}{2}[/tex]
y(m) = [tex]$\frac{y(1) + y(2)}{2}[/tex]
According to question, we have -
First coordinate Point - A(2, 1)
Second coordinate Point - B(2, 4)
Using the Mid - Point formula, we get -
x(m) = [tex]$\frac{x(1)+x(2)}{2} = \frac{2+2}{2} =2[/tex]
y(m) = [tex]$\frac{1+ 4}{2}=2.5[/tex]
hence, the coordinates of the mid - point are - M(2, 2.5).
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Dawn raises money for her school in a jog-a-thon. She will get three dollars for every lap she completes. If it takes 4 laps to jog 1 mile, and Dawn jogs a total of 11 miles, how much money will Dawn raise for her school?
what is 100 divided by 13 subtract 45 then add 19
Order of operations rules (PEMDAS) require that the div. be done first:
100
------ = 7.692
13
Subtracting 45 results in -37.308
Finally, adding 19 produces the final desired answer: -18.308
Answer:
-18.30769230769231
Step-by-step explanation:
calculator
52 thousandths in scientific notation
whats the answer to z−4/9−1/3=5/9
The school’s guidance department compares the grade-point averages and standardized state test scores for 10 students in each grade. The table below shows the correlation coefficient for each data set.
The 12th-grade data set represents the linear regression because the value of the correlation coefficient for the 12th-grade students is near the -1 which shows a perfect negative linear regression
What is correlation?It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.
The correlaton coeffiecient is given as below:
For 9th grade = 0.3
For 10th grade = -0.1
For 11th grade = 0.2
For 12th grade = -0.8
We know that for perfect linear regression the value of the correlation coefficient is 1 or -1
As we can see from the data given the nearest value of the correlation coefficient is -0.8 which is the correlation coefficient for the 12th grade.
Thus, the 12th-grade data set represents the linear regression because the value of the correlation coefficient for the 12th-grade students is near the -1 which shows a perfect negative linear regression.
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Help me plz math (picture)
What percent in change if The price was $160 and now it is $40?
A company’s profits (P) are related to increases in a worker’s average pay (x) by a linear equation. If the company’s profits drop by $1,500 per month for every increase of $450 per year in the worker’s average pay, what is the slope of the graph of the equation?
5^2-11 over 6(3). Evaluate the expression. A. 7. B. 2/9. C.-1/63. D. 7/9
The following table shows the data collected from a random sample of 100 middle school students on the number of hours they do household chores every week
There are 1,500 students in the school. Based on the sample proportion, how many students in the school would be expected to do household chores for at least two hours every week?
A: 480 B: 960 C: 1,020 D: 1,440
There will be 1020 students in the school doing household chores for at least two hours every week.
What is a ratio?A ratio is a comparison of two attributes of a similar kind.
Based on the random sample, the number of students doing household chores for at least two hours every week =64+3+1 =68
Out of 100, the number of students doing household chores for at least two hours every week = 68
So, out of 1, the number of students doing household chores for at least two hours every week = 68/100
So, out of 1500, the number of students doing household chores for at least two hours every week = (68/100)*1500 =1020
Thus, there will be 1020 students in the school doing household chores for at least two hours every week.
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Approximate the square root of 18 to the nearest tenth and plot the number on a number line SHOW ALL WORK
Please explain how to do this
Okay So I just a question that I don't even know what it means, So if someone could help that would be awesome!
see attached picture for solution:
find the measure of an angle whose supplement measures seventeen times its measure
Final answer:
The measure of an angle whose supplement is seventeen times larger than the angle itself is 10 degrees.
Explanation:
We are looking to find the measure of an angle that is said to have its supplement measure seventeen times larger than the angle itself. In terms of mathematical relationships, this means that if we call the angle in question x, then its supplement would be 17x. We know that supplementary angles add up to 180 degrees, hence we can write the equation x + 17x = 180. By solving this equation, we find that 18x = 180, and therefore x = 180÷18 which simplifies to x = 10. So the measure of the angle we are looking for is 10 degrees.
Daniel Plays Videogames for 2/3 (Fraction) of an hour every night before dinner. hos many hours if videogames does he play altogether after 5 days.
plz help. will give double points, comment, like brainliest. plz
L1 and L2 are parallel lines
the equation of L1 is y= 3x + 2
L2 passes through the point (3,4)
find an equation for L2
Would you be more or less likely to take a job in which the type of work is enjoyable to you? Why?
Answer:
yes if i enjoy the job i would not give it up
Step-by-step explanation:
Write 0.12*10-3 as a decimal
Describe some data that when graphed would represent a proportional relationship. Explain your reasoning
Answer:
A proportional relationship is "two quantities vary directly with each other."
Example:
The amount of gasoline you fill in your car and the amount you pay is a proportional relationship.
If 1 gallon of gasoline is $3, then the cost of 3 gallons of gasoline is $9.
Step-by-step explanation:
A relationship is between two quantities.
A proportional relationship is "two quantities vary directly with each other."
Say, if the quantity "x" increases, then the associated quantity "y" also increases.
For example,
y = 2x
Let's find the data.
x y
0 0
1 2
2 4
3 6
As you can see when the value of "x" increases, the value of "y" also increases.
This is called proportional relationship.
Example:
The amount of gasoline you fill in your car and the amount you pay is a proportional relationship.
If 1 gallon of gasoline is $3, then the cost of 3 gallons of gasoline is $9.
Each day, Jake donates money to the global hunger initiative according to how many lunch specials he sells. What is the constant of proportionality in money per lunch special?
Answer: 1/5
Explanation: Since, according to the given figure,
Jake spends money for 60 lunch special= 12 unit
Therefore, In this case, money per lunch= 12/60=1/5
Jake spends money for 45 lunch special=9 unit
Therefore, In this case, money per lunch= 9/45=1/5
Jake spends money for 30 lunch special=6 unit
Therefore, In this case, money per lunch= 9/45=1/5
Again, Jake spends money for 15 lunch special=3 unit
Therefore, In this case, money per lunch= 3/15=1/5
Thus, from the above explanation it is clear that the money per lunch is same for every condition and is equal to 1/5.
The second of two numbers is 5 more than twice the first. Their sum is 80. Find the numbers.....Thanms
-2/3×1/2×-6/7=
please help
what is 15%, 0.015, and 1/5 from least to greatest
what is the next number in this sequence 7,10,16,28,52
The next term is the given sequence is 100.
The given number sequence is 7, 10, 16, 28, 52,......
In the given sequence, pattern is as follows
7 + 3(1) = 10
10 + 3(2) = 16
16 + 6(2) = 28
28 + 12(2) = 52
52 + 24(2) = 100
Therefore, the next term is the given sequence is 100.
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Prove that the line segment joining the midpoints of the diagonals of the trapezium is parallel to each of the parallel sides and is equal to half of the difference of these sides.
16x+9=9y-2x Solve for y
The number of people waiting in a line to buy tickets x minutes after a ticket booth opened is given by the expression 70−5x .
What does the value 70 represent?
A. the number of minutes it takes to sell all the tickets
B. the total number of tickets available
C. the number of people in the line when the ticket booth opened
D. the number of people who bought tickets every minute
the table shows amounts earned for washing dogs. how much can be earned by washing 8 dogs
dogs,x. dollars,y
1. 18
2. 36
3. 54
4. 72
a.) $144
b.)$324
c.)$64
d.)$126
Your cell phone plan gives you 500 minutes monthly. If you have used 310 minutes already and there is a week left in this month, how should you use your minutes this last week? How many minutes could you use each day if you split the remaining minutes evenly amongst the days?
The answer is D -230 + m ≤ 500.
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verbal expression for 4(n + 6) ? PLEASE HELP ME ASAP