M is the midpoint of AN, A has coordinates
(-7,4), and M has coordinates (-4, -1). Find
the coordinates of N.
Help explain pls?
Answers
==========================================================
Explanation:
Let's focus on the x coordinates of each point for now.
Point A has x coordinate -7Point N has an unknown x coordinate. We leave it as x for now.Point M has x coordinate -4The idea to find the midpoint's coordinates is to add up the endpoints coordinates and divide by 2.
So we'll add up -7 and x, then divide by 2 to get the midpoint x coordinate of -4
In short we have: (-7+x)/2 = -4
Solving for x leads to...
(-7+x)/2 = -4
-7+x = 2*(-4)
-7+x = -8
x = -8+7
x = -1
This is the x coordinate of point N
-------------------------------
We'll repeat the same idea and steps for the y coordinates
Point A has y coordinate 4Point N has y coordinate unknown. Leave it as y for now.Point M has y coordinate -1So,
(4+y)/2 = -1
4+y = 2(-1)
4+y = -2
y = -2-4
y = -6
This is the y coordinate of point N.
------------------------------
In summary, we found that point N is located at (-1, -6)
Point A is (-7,4) and point N is (-1,-6)
If you apply the midpoint formula to those two points, you should find the midpoint to be M(-4,-1) which helps confirm the answer.
Another way to confirm the answer is to compute the distance from A to M, which finds the length of segment AM. Do the same for segment MN. You should find that both segments are the same length.
The diagram below is a visual way to check. Starting at point A and moving down to point B, we moved 5 units. Then go from B to M and you'll move 3 units to the right. This pattern "down 5, right 3" is applied again when we go from M to C to N in that order. This effectively creates two congruent triangles (ABM and MCN) which can lead to proving AM = MN.
In short: the red piece of the graph is the same length as the blue piece; this confirms we have the correct answer.
Step-by-step explanation:
According to Question , M is the midpoint of AN, A has coordinates (-7,4), and M has coordinates (-4, -1).
Figure :-
[tex] \setlength{\unitlength}{1 cm}\begin{picture}(20,12) \put(4,0.2){\line(0,-1){0.4}}\put(1,0){\line(1,0){6}} \put(3.8,-0.6){$\bf M(-4,-1) $} \put(1,-0.6){$\bf A (-7,4)$} \put(6.8,-0.6){$\bf N(x,y)$} \end{picture}[/tex]
Let the coordinates of N be ( x , y )
Now , according to Midpoint Formula , the midpoint of points say A(x , y) and B (x' , y') is given by ,
[tex]\boxed{\blue{ \bf Midpoint =\bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) }}[/tex]
On using this formula ,
[tex]=> Midpoint = \bigg( \dfrac{x+x'}{2} , \dfrac{y+y'}{2} \bigg) \\ \\ => (-4, 1) = \bigg( \dfrac{x -7 }{2} , \dfrac{y + 4 }{2}\bigg) \\ \\ => -4 = \dfrac{x-7}{2} \\\\ => x - 7 = -8 \\\\ => x = 7 -8 \\\\ \boxed{\red{\sf=> x = -1 }} \\\\ => \dfrac{y+4}{2}=-1 \\\\=> y +4 = -2 \\ \\ y = -4-2 \\\\\boxed{\red{\sf=> y = -6 }}[/tex]
Related Questions
What is cos theta when sin theta = sqrt 2/3
Answers
Answer:
Value of cosθ is ±√7/3 .
Step-by-step explanation:
According to the Question , value of :
[tex]\red{\implies sin\theta = \dfrac{\sqrt2}{3}} [/tex]
And , we know the identity of sine and cosine as ,
[tex]\boxed{\pink{\sf\implies sin^2\theta + cos^2\theta = 1} }[/tex]
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[tex]\implies sin^2\theta + cos^2\theta = 1 \\\\\implies \bigg( \dfrac{\sqrt2}{3}\bigg)^2 + cos^2\theta = 1 \\\\\implies \dfrac{2}{9} + cos^2\theta = 1 \\\\\implies cos^2\theta = 1 - \dfrac{2}{9} \\\\\implies cos^2\theta = \dfrac{9-2}{9} \\\\\implies cos\theta = \sqrt{\dfrac{7}{9}} \\\\\underline{\boxed{\blue{\bf \implies cos\theta = \pm \dfrac{\sqrt 7 }{3}}}}[/tex]
Now , here since θ is in 2nd quadrant and in 2nd quadrant cos is negative . Hence ,the value of cos will be :
[tex]\boxed{\orange{\bf \implies cos\theta =-\dfrac{\sqrt7}{3}}}[/tex]
Jack is trying to make extra money on his summer vacation from school. He works two different jobs, earning $9 per hour washing cars and $6 per hour walking dogs. How much money would Jack earn in a week in which he worked 5 hours washing cars and 2 hours walking dogs? How much money would Jack earn in a week in which he worked w w hours washing cars and d d hours walking dogs? 5 hours washing cars and 2 hours walking dogs: w w hours washing cars and d d hours walking dogs:
Answers
Answer:
$57
[tex]9w+6d[/tex]
Step-by-step explanation:
Given that:
Earnings per hour for washing cars = $9
Earnings per hour for walking dogs = $6
Number of hours for which car washing is done = [tex]w[/tex]
Number of hours taken for walking dogs = [tex]d[/tex]
Earnings for [tex]w[/tex] hours for washing cars = Per hour earnings multiplied by number of hours = $9[tex]w[/tex]
Earnings for [tex]d[/tex] hours for walking dogs = Per hour earnings multiplied by number of hours = $6[tex]d[/tex]
Total earnings by both = $([tex]9w+6d[/tex])
Now, given that
Number of hours spent washing cars = 5 hours
Number of hours spent walking dogs = 2 hours
Therefore, total earnings by both = 9 [tex]\times[/tex] 5 + 6 [tex]\times[/tex] 2 = $57
Apple stock fell 3% and is currently at $134 . What was the original amount this morning?
Answers
Answer:
138.02
Step-by-step explanation:
Which situation can be modeled using a linear function? the population of yeast that doubles after every minute the population of yeast that doubles after every minute the height of a projectile after it is launched the height of a projectile after it is launched the distance covered by a car moving at a constant speed the distance covered by a car moving at a constant speed the cost of a printing machine that depreciates every year at 2% per year
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The summer camps had a field trip from the campus to the fragrance house they traveled on average speed of 65 km in the first two hours after that they travel another average speed of 70 km is a distance between the campus and fragrance I was 364 km what was the total time for a field trip
Answers
Answer: 5.34 hours
Step-by-step explanation:
They traveled at an average speed of 65 km/h in the first 2 hours so the distance traveled was ;
= 65 * 2
= 130 km
The distance left was;
= 364 - 130
= 234 km
They travel at 70km per hour so time taken was;
= 234/70
= 3.34 hours
Total time = 2 + 3.34
= 5.34 hours
An auditorium has 30 rows with 10 seats in the first row, 12 in the second row, 14 in the third row, and so forth. How many seats are in the auditorium? (1 point)
Answers
Answer:
My answer is 1170 but the way I figured out the problem was by listing numbers 1-30. the problem state that the 1st row had 10, 2nd row had 12, and 3rd row had 14 and so forth. So I basically did the same method till I got to 30 and then add up all the numbers which gave me the answer of 1170.
Step-by-step explanation:
Answer:
1170
Step-by-step explanation:
hey there,
(the other person just calculated each number themselves then added them up which i guess is okay but not in the long term for when you're taking a test for example or your teacher asks you this kind of question so it's better to memorize a formula.)
< There are two types of sequences: arithmetic and geometric. So also two formulas for finding sums of each. This situation is an arithmetic sequence.
Formula for the sum of an arithmetic sequence: [tex]S_n=\frac{n}{2} (a_1+a_n)[/tex]
We know there are 30 total rows so n = 30. a1 is the very first term of a sequence so this is 10 in this situation. Before we fill in the formula, we should find what an is equal to.
For this, we will use the basic formula you learned previously: [tex]a_n=dn+c[/tex]
d (the common difference) = a2-a1 = 12-10=2
c (the common ratio) = a1-d = 10-2 = 8
an = dn + c = 2(30) + 8 = 68
Now that we have found what a_n is equal to, we can plug everything into the sum equation.
[tex]S_n = \frac{30}{2} (10+68)=1170[/tex]
So 1170 is your final answer. >
Hope this helped! Feel free to ask anything else.
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Answers:
m= -1/2
m=3
m= 1/3
if you don't know please don't Guess :(
Answers
x+2y=6
2y=-x+6
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Answers
Answer:
11+p-3 or 3+p-11
Step-by-step explanation:
depending if the p is negative or positive
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Answer:
I think it's 3/10
Step-by-step explanation:
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Answer:
the answer is B
Step-by-step explanation:
Answer these questions please :)
1. 7.2 x 100 =
2. 468.8 ÷ 100 =
3. 0.12 x 1,000 =
4. 86.4 ÷ 100 =
5. 2.001 x 10 =
6. 1,200 ÷ 1,000 =
7. 3.41 x 100 =
8. 3.41 ÷ 10 =
9. 0.0031 x 100 =
10. 5.7 ÷ 100 =
11. 1.34 x 1,000 =
12. 10 x 0.57 =
13. 57 ÷ 100 =
14. 1.068 x 100 =
15. 168.1 ÷ 10 =
16. 0.0341 x 100 =
Answers
1. 7.2 x 100 = 720
2. 468.8 ÷ 100 = 4.688
3. 0.12 x 1,000 = 120
4. 86.4 ÷ 100 = 0.864
5. 2.001 x 10 = 20.01
6. 1,200 ÷ 1,000 = 1.2
7. 3.41 x 100 = 341
8. 3.41 ÷ 10 = 0.341
9. 0.0031 x 100 = 0.31
10. 5.7 ÷ 100 = 0.057
11. 1.34 x 1,000 = 1340
12. 10 x 0.57 = 5.7
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14. 1.068 x 100 = 106.8
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Answers
Answer:
The answer is 11 PM
Step-by-step explanation:
1,440,000 minutes is the same as 24,000 hours. Then, you add that to 10pm of that day and you get 11 pm. It is the same as multiplying 24 x 1000 hrs. it is like adding 1000 days to that since it is 24 hrs in one day. Hope this helped!!
Answer:
11:00 pm
Step-by-step explanation:
1,440,000 minutes, convert it into hours and you get 24,000 hours. Since 24 hours equal a day 24,000 is 1,000 days. Attach 10:00 pm since its exactly 1,000 days after and you get 11:00 pm.
tell whether the given ordered pair is a solution of the equation y = -2 + 5;(2,1)
Answers
Note: your equation is a little bit unclear. Thus, I am assuming that
y = 2x+5
Anyway, the procedure remains the same. It would anyways clear your concept.
Answer:
We conclude that the ordered pair (2, 1) is a solution.
Step-by-step explanation:
Given the equation
[tex]y = -2x+5[/tex]
Check for point (2, 1)
substituting the point (2, 1) in the equation to check whether the ordered point satisfies the equation or not.
[tex]y = -2x+5[/tex]
plug in x = 2 and y = 1
1 = -2(2)+5
1 = -4+5
1 = 1
R.H.S = L.H.S
TRUE
Therefore, the given ordered pairs satisifes the equation.
Hence, we conclude that the ordered pair (2, 1) is a solution.
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Answers
85 percent of 30
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Answers
Answer:
-18/3
Step-by-step explanation:
Multiply the denominator and numerator by the same whole number.
explanation:
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Determine whether the graph shows a positive correlation, a negative correlation, or no correlation. If there is a positive or negative correlation, describe its meaning in the situation.
Average Cycling Speed
A graph titled Average Cycling Speed has minutes on the x-axis and miles per hour on the y-axis. Points are at (5, 15), (10, 13), (15, 11), (20, 10), (25, 9).
Answers
Answer:
Positive correlation.
Step-by-step explanation:
The miles per hour increases as the cycling speed increases.
A model for a company’s revenue from selling a software package is R(p)=-2.5p^2+600p
Answers
Complete question is;
A model for a company's revenue from selling a software package is R = -2.5p² + 500p, where p is the price in dollars of the software. What price will maximize revenue? Find the maximum revenue.
Answer:
Price to maximize revenue = $100
Maximum revenue = $25000
Step-by-step explanation:
We are told that:
R = -2.5p² + 500p, where p is the price in dollars of the software.
The maximum revenue will occur at the vertex of the parabola.
Thus, the price at this vertex is;
p = -b/2a
Where a = - 2.5 and b = 500
Thus:
p = -500/(2 × -2.5)
p = -500/-5
p = 100 in dollars
Maximum revenue at this price is;
R(100) = -2.5(100)² + 500(100)
R(100) = -25000 + 50000
R(100) = $25000
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week. For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week
Answers
Step-by-step explanation:
Given that,
For 4 weeks in June, Cameron biked 3 1/4 miles each week and swam 2 1/2 miles each week.
For 3 weeks in July, he biked 4 3/4 miles each week and swam 3 1/2 miles each week.
We need to find how much greater was the total distance Cameron bike and swim in July compared to the total distance he bike in swim in June.
In July, total distance is ,
[tex]4\dfrac{3}{4}\times 3+3\dfrac{1}{2}\times 3\\\\= \dfrac{19}{4}\times 3+\dfrac{7}{2}\times 3\\\\=24.75\ \text{miles}[/tex]
In June, total distance is :
[tex]=4\times 3\dfrac{1}{4}+4\times 2\dfrac{1}{2}\\\\=\dfrac{13}{4}\times 4+\dfrac{5}{2}\times 4\\\\=23\ \text{miles}[/tex]
Hence, in June total distance is 23 miles and in July total distance is 24.75 miles.
Samantha plays on the softball team for her school she strikes out twice after nine times she is at bat if she struck out 14 times this season how many times has she got back
Answers
Answer:
she got back 63 times
Step-by-step explanation:
Here, we want to know the number of times she is at bat
from the question, we are made to know that she strikes out twice after 9 times
So striking out 14 times, the number of times she has got back will be ;
14/2 * 9 = 63 times
Annapurna suppliers sold construction materials at Rs. 497200 to Sagarmatha suppliers
making 10% profit and adding 13% VAT. Find the cost price of the Annapurna suppliers.
Sagarmatha suppliers spent Rs 10000 for transportation cost and made Rs. 30000 profit and
levied local tax Rs. 20000 and sold to constructor. Find the additional VAT applicable amount
and the final price with VAT
Answers
Step-by-step explanation:
annapurna suppliers to sagarmatha suppliers ,
SP = (100+10)%of 497200
=110/100 * 497200
SP = RS. 546920
VAT 1 = 13% OF 546920
= RS. 71099.6
SAGARMATHA SUPPLIERS TO CONSTRUCTOR,
CP=RS.546920
TC=RS.10000
PROFIT =RS. 30000
LT =RS. 20000
SP = RS. 60000
VAT=13%
VAT 2 = 13% OF 60000
= RS. 7800
final price with VAT = 7800+ 546920+71099.6
=RS. 625819.6
Final cost is 36463.6 and VAT end profit is 3646.36.
What is percentage?Percentage is defined as a given part or amount in every hundred. It is a fraction with 100 as the denominator and is represented by the symbol "%".
Given
Material cost = 497200
10% profit = [tex]\frac{10}{100}[/tex] × 497200
= 49720
13% VAT = [tex]\frac{13}{100}[/tex] × 49720
= 6463.6
Hence, Final cost = 6463.6 + 10000 + 20000
= 36463.6
VAT end profit = [tex]\frac{10}{100}[/tex] × 36463.6
= 3646.36
Hence, Final cost is 36463.6 and VAT end profit is 3646.36.
Find out more information about percentage here
https://brainly.com/question/24159063
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After 12 years, a deposit of $10,000 into your college account has earned $6,000 in interest payments. What simple interest rate did the account earn
Answers
Answer:
5%
Step-by-step explanation:
I = PRT/100 where I = interest, P = initial deposit, R = the rate in %, T = number of years.
So substituting the given values:
6000 = 10000*R* 12/100
10000*12*R = 100*6000
R = 100*6000 / (10000 * 12)
R = 600000/120000
= 5%
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Find equivalent expression
Answers
Answer:
I have no idea, I have been trying to figure it out
Please help ASAP I will mark Brainliest if there are multiple answers!!!
Which island is closest to Island A?
Answers
Answer:
island C
Step-by-step explanation:
island C is 14 units away from island A, whereas island B is 20 units away
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Answers
Answer:
i think the first one
Step-by-step explanation:
Answer:
A. 2x2y +7xy2
Step-by-step explanation:
Does the relationship {(1,1), (2,1),(3,2), (4,3), (5,5), (6,8), (7,13)} represent a function?
Yes
Answers
Answer:
Yes.
Step-by-step explanation:
A function is a set of relations without repetitive domains.
From the given relation, there are no repetitive domains. Thus our relation here is a function.
Example of Function
{(1,1), (2,2), (3,3), (4,4), (5,5)}
Example of Non-Function
{(1,1), (1,2), (2,3), (3,4), (4,5)}
From this relation, there are two repetitive domains which are 1's. Thus not making the relation a function.
If 24% of 400 people watched the news, how many ppl watched?
Answers
Answer:
96 people
Step-by-step explanation:
24÷100 × 400=96
You are buying a tv that originally cost 1,050 you have a coupon for 15% off what is your new total for the tv.
Answers
Answer:
$892.50 ( Eight Hundred Ninety Two dollars and fifty cents)
Step-by-step explanation:
Just subtract 15% from 1050 (you also can check calculator if you want second opinion!)
(have a nice day)
This is because to find the percentage decrease of a number you must subtract the percentage from 100 . Then divide this number by 100 and multiply it with the original number . So I did 100-15= 85, 85/100= 0.85. 0.85 x 1050 = 892.50 which is the answer
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Answers
Answer: They are the same or equal to each other.
Step-by-step explanation:
Hope this helps.
A line passes through (-2,5) and has slope. What is an equation of the line in point-slope form?
Answers
Answer:
Step-by-step explanation:
since the question does not have a given slope you can just put the point into the point slope formula y-y1 = m(x-x1)
y-5 = m(x-(-2))
y-5 = m(x+2)
since the slope is not given, leave it like that