Write an equation in slope-intercept form of the line that passes through (4, 6) and (9,2)
Answers
Answer:
m=0
b=-9
Step-by-step explanation:
Slope is equal to the change in
y
over the change in
x
, or rise over run.
m
=
change in y
change in x
The change in
x
is equal to the difference in x-coordinates (also called run), and the change in
y
is equal to the difference in y-coordinates (also called rise).
m
=
y
2
−
y
1
x
2
−
x
1
Substitute in the values of
x
and
y
into the equation to find the slope.
m
=
−
9
−
(
−
9
)
2
−
(
−
4
)
The equation of the line is equal to y=-5x/4 +c
What is the slope-intercept form of a line?The slope-intercept form of a line is represented by y=mx+c where m=slope and c is the y-intercept of the line
Given here: The given line passes through (4,6) and (9,2)
We know the slope intercept form is given by
y=mx+c
putting (4,6) in the equation we get
6=4m+c
Again substituting (9,2) in the equation we get
2=9m+c
Thus solving this two equations we get the value of m=-5/4 and c=11
Hence, The equation of the line is equal to y=-5x/4 +c
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Related Questions
The pressure resulting from a force of 50 N exerted over an area of 5 m2 is (2
marks)
Answers
Answer:
\(pressure = \frac{force}{area} \\ = \frac{50}{5} \\ = 10 \: N {m}^{ - 2} \)
Four workers can harvest a corn field in 12 hours. If the job needs to be completed in 8 hours, how many workers must be assigned to the job? Note: All workers work at the same constant rate.
Answers
Answer:
6
Step-by-step explanation:
You want to know the number of workers required to harvest a field in 8 hours if 4 workers can do the job in 12 hours.
EffortProblems like this that involve effort usually measure the effort as a constant product of workers and time.
Here, that product is (4 workers)(12 hours) = 48 worker·hours.
If the same effort is accomplished in 8 hours, the number of workers required is ...
(48 worker·hours)/(8 hours) = 6 workers
6 workers are needed to accomplish the task in 8 hours.
just look at the picture to answer it
Answers
The areas of rectangles D, E and F are 24p units², 14m units² and (15x + 40) units² respectively
How to find the areas of the rectangles?Given: rectangles D, E and F as labeled
For rectangle D, the length will be the addition of the four p's
length(L) = p + p + p + p = 4p
width (W) = 6
Area = L × W
Area = 4p × 6 = 24p units²
For rectangle E:
It should be noted that the length will be the addition of 6 and 8. The width is also represented by m.
length(L) = 6 + 8 = 14
width (W) = m
Area = L × W
Area = 14 × m = 14m units²
For rectangle F:
length(L) = 3x + 8
width (W) = 5
Area = L × W
Area = (3x + 8) × 5 = (15x + 40) units²
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Richie wants to enlarge the square deck in his backyard. The area of the enlarged deck, A(x), can be modeled by the following function, where x is a side length in feet of the original square deck. What is the minimum potential area of the enlarged deck?
A= x^2-14x+106
A.
57 feet
B.
14 feet
C.
49 feet
D.
106 feet
Answers
Answer:
14 feet this is the answer
PLEASE HELPP ASAP!! what is the value of H in the diagram below ? if necessary, round your answer to the near test tenth of the unit
Answers
Please help I’m so close to passing math
Answers
Answer:
$0.14 per ounce of salsa
Step-by-step explanation:
2.80/20
Move decimal to make the number a whole number
(Have to move the decimal the same amount of spaces)
28/200
0.14
Hope this helps. Have a nice day
Answer:
$0.14
Step-by-step explanation:
20-ounce =2.80
1- " =2.80/20
=280/100 × 1/20
=14/100
=$0.14
S={(3,p),(3,0),(4,q),(1,4)}
Answers
Answer:
S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:
(3,p): The first element is 3 and the second element is p.
(3,0): The first element is 3 and the second element is 0.
(4,q): The first element is 4 and the second element is q.
(1,4): The first element is 1 and the second element is 4.
Select the correct answer. In which direction must the graph of f(x) = x be shifted to produce the graph oSelect the correct answer.
In which direction must the graph of f(x) = x be shifted to produce the graph of g(x) = f(x) - 4?
A.
left and down
B.
right and up
C.
down
D.
upf g(x) = f(x) - 4? A. left and down B. right and up C. down D. up
Answers
Answer:
A. down
Step-by-step explanation:
The parent graph is
f(x)=x
If this graph is transformed to obtain
g(x)=f(x)−4
The subtracttion means the graph will shift downward vertically
The graph of g(x) is obtained by shifting f(x) down by 4 unit.
Therefore the direction is down.
Mark this as brainliest please.
-4(3/2x - 1/2) = -15
Answers
Answer:
2.8333333333333333333
Step-by-step explanation:
I have high iq
-4(3/2x - 1/2) = -15
Distribute -4
-6x + 2 = -15
Subtract 2 from both sides
-6x = -17
Divide 6 from both sides
x = 2.83333333333333333
What is an equation that passes through the points (3,-4) (-6,-8)
Answers
Answer:
9y=4x-48
Step-by-step explanation:
first find the slope
m=4/9
then determine one point and use formula
y-(-4)=4/9(x-3)
Explain why a selection of 10 students from your class can have marks that aren’t normally distributed when the marks of entire class are normally distributed.
Answers
whats the equation of a line that passes through point (-1,3) with slope of 1
Answers
The equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
To find the equation of a line that passes through the point (-1, 3) with a slope of 1, we can use the point-slope form of a linear equation.
The point-slope form of a linear equation is given by:
y - y1 = m(x - x1)
where (x1, y1) represents the coordinates of a point on the line, and m represents the slope of the line.
Using the given point (-1, 3) and slope 1, we substitute these values into the point-slope form equation:
y - 3 = 1(x - (-1))
Simplifying:
y - 3 = x + 1
Now, we can rewrite the equation in the standard form:
y = x + 4
Therefore, the equation of the line that passes through the point (-1, 3) with a slope of 1 is y = x + 4.
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Write the expression 12 × 4-2( the 2 is for the symbol squared.) in words.
WILL GIVE BRAINLY!!!!! :)
Answers
Answer: Twelve times four squared
Step-by-step explanation: hope it helps
A train goes at a constant speed. It can travel 159 miles in 2 1/2 hours. What distance would it travel in 2 hours
Answers
Answer:
127.2 miles
Step-by-step explanation:
using the relationships
speed = \(\frac{distance}{time}\) ( time in hours ) = \(\frac{159}{2.5}\) = 63.6 mph
constant speed is 63.6 mph
then
distance = speed × time = 63.6 × 2 = 127.2 miles
If (x) = 5x - 7, what is (3)?
А. В
Ов, 1
Ос, 2
D. 22
Answers
Answer:
oc,2
Step-by-step explanation:
(__(_+)£)£(£886++17+£7+
a single rose costs 3$ and a bunch of roses costs 12$.How many times as much does the bunch of roses cost than the single rose?
Answers
The bunch of roses costs $12/$3 = 4 times as much as a single rose.
What is arithmetic sequence?
An arithmetic sequence is a sequence of numbers in which each term after the first is found by adding a fixed constant number, called the common difference, to the preceding term.
The bunch of roses costs 4 times as much as a single rose.
To see why, we can divide the cost of the bunch of roses by the number of roses it contains. If a bunch of roses costs $12 and contains, say, 4 roses, then each rose in the bunch costs $3. On the other hand, a single rose costs $3 on its own.
Therefore, the bunch of roses costs $12/$3 = 4 times as much as a single rose.
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a soccer team lost 30% of their games. If they played 20 games, how many did they win
Answers
Answer:
14
Step-by-step explanation:
100% - 30%= 70% (the times they've won)
0.7x20=14
Brian set his compass equal to the radius of circle C and drew two circles centered at points A and B on circle C. He labeled the points of intersection of the two circles as shown.
Two circles are drawn by having another circle in the center. The center circle has points A, M, N, B, P, Q, and C. At C the two circles intersect, and at P the center circle and the top circle intersect.
To complete his construction, Brian only needs to use his straightedge to draw some chords of circle C.
Which figures could Brian be constructing?
equilateral triangle MNQ inscribed in circle C
equilateral triangle ANP inscribed in circle C
regular hexagon AMNBPQ inscribed in circle C
square MNPQ inscribed in circle C
square ANBQ inscribed in circle C
Answers
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
Brian is constructing figures inscribed in circle C.
Equilateral triangle MNQ inscribed in circle C:
This option is possible since the points M, N, and Q are labeled and they lie on circle C.
Equilateral triangle ANP inscribed in circle C:
This option is not possible. The points A and P are labeled, but the third vertex of the equilateral triangle is not specified.
Regular hexagon AMNBPQ inscribed in circle C:
This option is possible since the points A, M, N, B, P, and Q are labeled and they lie on circle C.
Square MNPQ inscribed in circle C:
This option is not possible based on the given information. The label points do not form a square.
Square ANBQ inscribed in circle C:
This option is not possible . The points A, N, B, and Q are labeled, but they do not form a square.
The correct options that could be constructed by Brian using his straightedge to draw some chords of circle C are:
Equilateral triangle MNQ inscribed in circle C
Regular hexagon AMNBPQ inscribed in circle C
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Zayn and Attia are thinking of a number each. What is Attia's number? My number is greater than 2. 12 and 20 are multiples of my number. My number is the 11th multiple of Zayn's number.
Answers
Answer:
Me: 60
Zayn and Attia: 6
Step-by-step explanation:
12 = 2 × 2 × 3
20 = 2 × 2 × 5
LCM of 12 and 20 = 2 × 2 × 3 × 5 = 60
My number is 60.
Zayn's and Attia's numbers are 6.
by the bank to ABC company shows a balance of cash on deposit at July 31 of Br.4 shows a bank balance of Br. 4 173. 83. 1. A deposit of Br 410. 90 made after banking hours and doesnt appear in the bank statement2. A check drawn for Br. 79 had been erroneously charged by the bank Br.973. For checks issued in July have not yet been paid by the bank (outstanding checks). : Theses checks are;- Check No date amount 801 June 15 ---Br.100,00 888 July 24 ----Br. 10.25 890 July 27--- Br. 294.50 891 July 30 ---Br. 205.004. A check written for birr 210 had been incorrectly charged by the bank as birr 120 5. Proceeds from collection of a interest bearing note receivable from David. ABC Company had left this note with the banks collection department. The face amount of the note was birr 500 6. Br. 24.75 interest earned on average account balance during July7. A check for Br. 10 returned with the statement had been recorded in the check register as Br. 100. The check was for the payment of an obligation to Davis Equipment Company for the purchase of office supplies on account 8. Br. 5,00 fee charged by bank for handling collection of note receivable 9. Br. 50.25 check from customer John deposited by ABC company charged bank as Non sufficient fund (NSF) 10. Br. 12.70 service charged by bank for the month of July. 11. Check number 875 was issued July 20 in the amount of Br 85 but was erroneously recorded in the cash payment Journal as Br 58 for payment of telephone expense
Answers
The bank reconciliation reveals various errors and discrepancies between ABC Company's records and the bank statement, including missing deposits, incorrect check charges, outstanding checks, unrecorded interest proceeds, fees, NSF charges, and recording errors.
Upon analyzing the bank reconciliation for ABC Company, several discrepancies between the company's records and the bank statement are identified:
A deposit of Br. 410.90 made after banking hours does not appear on the bank statement. This indicates that the deposit was not processed by the bank before the statement was generated.
A check drawn for Br. 79 was charged by the bank as Br. 973. This suggests an error by the bank in processing the check, resulting in an incorrect charge to ABC Company.
Outstanding checks are checks issued in July but have not yet been paid by the bank. The checks include check numbers 801, 888, 890, and 891, with respective amounts of Br. 100.00, Br. 10.25, Br. 294.50, and Br. 205.00.
A check written for Br. 210 was charged by the bank as Br. 120, indicating an error in the bank's recording.
The proceeds from the collection of an interest-bearing note receivable from David, with a face amount of Br. 500, are not reflected in the bank statement.
A Br. 24.75 interest earned on the average account balance during July is included in the bank statement.
A check for Br. 10, which was recorded in the check register as Br. 100, was returned with the statement. This discrepancy could be due to an error in recording the check amount.
A Br. 5.00 fee was charged by the bank for handling the collection of a note receivable.
A Br. 50.25 check from customer John, deposited by ABC Company, was charged by the bank as Non-Sufficient Funds (NSF), indicating that the customer's check bounced.
A Br. 12.70 service charge was imposed by the bank for the month of July.
Check number 875 was issued on July 20 for Br. 85 but was erroneously recorded in the cash payment journal as Br. 58 for the payment of telephone expenses.
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Please help I am in class rn and I need this DONe
Answers
pattern. quadrant
(- ,-). III
(+,+). I
(+,-). IV
(-,+). II
Step-by-step explanation:
PLS MARK BRAINLIEST
#4.
Quadrant I - top right: (+, +)
Quadrant II - top left: (-, +)
Quadrant III - bottom left: (-, -)
Quadrant IV - bottom right: (+, -)
#5.
a. (-6, -2) : (-, -) : III
b. (3, 8) : (+, +) : I
c. (1, -4) : (+, -) : IV
d. (-5, 6) : (-, +) : II
Hope this helps!
8 less than one-fourteenth of some number, w
Answers
Answer:
The answer is 1/14w-8
Nikhil and Mae work at the same company. Nikhil has been at the company 4 time+s as long as Mae. Nikhil's time at the company is 8 more than 2 times Mae's time. The following system of equations models the scenario: x = 4y x = 8 + 2y How many years has each person been employed by the company? Nikhil has been with the company for 16 years, while Mae has been there for 4 years. Nikhil has been with the company for 24 years, while Mae has been there for 6 years. Nikhil has been with the company for 20 years, while Mae has been there for 5 years. Nikhil has been with the company for 12 years, while Mae has been there for 3 years
Answers
Applying the system of equations given, we can conclude that: a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
How to Apply a System of Equations?To solve the system of equations, let's substitute the value of x from the first equation into the second equation:
x = 4y
8 + 2y = 4y
Simplifying the equation, we get:
8 = 2y
Dividing both sides by 2:
4 = y
Now, substitute the value of y back into the first equation to find x:
x = 4y
x = 4(4)
x = 16
Therefore, Nikhil has been employed by the company for 16 years, and Mae has been employed for 4 years.
The correct answer is option a. Nikhil has been with the company for 16 years, while Mae has been there for 4 years.
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For a sphere with a radius of 8, what is the surface area
Answers
Answer:
64
Step-by-step explanation:
Complete each congruence statement by naming the corresponding angle or side. NO LINKS!!!
Answers
Answer:
Solution given:
19
<JKL=<KLS
20
FD=GD
9514 1404 393
Answer:
19) ∠JKL ≅ ∠SLK
20) FD ≅ GD
Step-by-step explanation:
It works well to identify the locations of the letters in the congruence statement, then use the letters in the same order from the other part of the congruence statement.
19) Letters JKL have the order 312 in the first part of the congruence statement ΔKLJ ≅ ....
The last part of the congruence statement is ... ≅ ΔLKS. The letters in order 312 from that part are SLK, so we want our angle congruence to read ...
∠JKL ≅ ∠SLK
__
20) The letters we're given (FD) are in positions 31 of the first part of the triangle congruence statement. The letters in those positions in the second part are GD, so our segment congruence is ...
FD ≅ GD
Physics graduate student Laura Van Ertia has conducted a complete randomized design with a single factor hoping to solve the mystery of the unified theory and complete her dissertation. The results of this experiment are summarized in the following ANOVA display:
Source DF SS MS F
Factor ? ? 14.18 ?
Error ? 37.75 ?
Total 23 108.63
Answer the following questions about this experiment.
a. The sum of squares for the factor is ____
b. The number of degrees of freedom for the single factor in the experiment is___
c. The number of degrees of freedom for error is ___
d. The mean square for error is ____
e. The value of the test statistic is ___
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis
Yes
No
g. An upper bound on the P-value for the test statistic is __
h. A lower bound on the P-value for the test statistic is ___
i. Laura used ___ levels of the factor in this experiment
j. Laura replicated this experiment ___ times
k. Suppose that Laura had actually conducted this experiment as a randomized complete block design and the sum of squares for blocks was 12. Reconstruct the ANOVA display above to reflect this new situation. How much has blocking reduced the estimate of experimental error?
Answers
Blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
What is statistics ?
Statistics is a branch of mathematics that deals with the collection, analysis, interpretation, presentation, and organization of data. It involves using mathematical and computational methods to gather, summarize, and analyze data in order to make inferences and draw conclusions about populations based on samples. Statistics is widely used in fields such as science, medicine, business, engineering, social sciences, and many other areas where data are collected and analyzed. The goal of statistics is to provide insights and knowledge that can be used to make informed decisions and solve problems.
a. The sum of squares for the factor is 14.18
b. The number of degrees of freedom for the single factor in the experiment is DF = 1
c. The number of degrees of freedom for error is DF = 22
d. The mean square for error is MS = 37.75
e. The value of the test statistic is F = 0.376
f. If the significance level is 0.05, your conclusions are not to reject the null hypothesis. Yes
g. An upper bound on the P-value for the test statistic is p ≤ 0.05
h. A lower bound on the P-value for the test statistic is p > 0.01
i. Laura used 2 levels of the factor in this experiment
j. Laura replicated this experiment 12 times
k. Reconstructed ANOVA display:
Source DF SS MS F
Factor 1 14.18 14.18 15.97
Blocks 11 12.00 1.09 -
Error 12 31.75 2.65 -
Total 23 58.93 - -
Therefore, blocking has reduced the estimate of experimental error from MS = 37.75 to MS = 2.65, a reduction of approximately 93%.
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Finding the area and perimeter
Answers
Answer:
Lion area: 60
Lion Perimeter: 34
Tiger Area: 60
Tiger perimeter: 64
Step-by-step explanation:
How do you do this question?
Answers
Answer:
the answer is 4 of it will help you
A policeman is 3/10 of a mile from a road. His radar indicates that the car is moving away at a speed of 64 miles per hour when the car is 4/10 of a mile down the road. How fast is the car traveling?
ASAP + Brainiest to best response
Answers
go on india server for best and fast answer
Compare the quantity in Column A with the
quantity in Column B.
Answers
It Is My Work From My Laptop
