What is an equation if the line that passes thriugh the point (-4,-6) and is parallel to the line 3x - y = 6

Answers

Answer 1
3x - y = 6
3x = 6 + y
y = 3x - 6, slope = 3
Y = 3x + b
-6 = 3(-4) + b
-6 = -12 + b, b = 6
Solution: y = 3x + 6
Answer 2

Answer:

the desired equation is 3x - y = -6

Step-by-step explanation:

Recall that parallel lines have the same slope.  Thus, the desired line has an equation of the form 3x - y = C, where C is determined by the coordinates of the point (-4, -6).

3x - y = C becomes 3(-4) - (-6) = C after substitution of -4 and -6 for x and y respectively.  Then   -12 + 6 = C, and C = -6.

Thus, the desired equation is 3x - y = -6


Related Questions

Pedro bought two cars, one for ₱600,000.00 and the other for ₱400,000.00. He sold the former at a gain of 10% and the latter at a loss of 12%. What percentage of the total investment was his gain or loss? ​

Answers

Answer:

Pedro had a gain of 1.2%

Step-by-step explanation:

Percentages

Pedro bought two cars. One for $600,000 and the other for $400,000.

He sold the first car at a 10% profit. Thus the gain was:

$600,000 * 10 / 100 = $60,000

He sold the other car at a 12% loss. Thus the loss was:

$400,000 * 12 / 100 = $48,000

The total gain or loss was $60,000 - $48,000 = $12,000

Since it's positive, the total balance is at gain.

The total investment was $600,000 + $400,000 = $1,000,000

The total gain is a percentage of the total investment of:

$12,000 / $1,000,000 * 100 = 1.2%

Pedro had a gain of 1.2%

Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. The graph look identical so he believes that the equations represent the same line. What mathematical argument can he construct to show that the two forms are equivalent?

Answers

Darren can change the 2x+5y=15 into slope-intercept form and it would be the same equation therefore on a graph it would be the same line because the slope and y-intercepts are the same

The slope and the intercept of both lines are the same. Because of that, the lines are identical.

What is an equation of the line?

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

Given that Darren graphs the linear equations y=-2/5x+3 and 2x+5y=15. Write both equations in the slope-intercept form and compare.

The general form of the equation of the line is:-

y = mx + c

y=-2/5x+3

Solve the equation to form their general form.

2x+5y=15.

5y = 15 - 2x

y = ( 15 / 5 ) - 2 / 5x

On comparing the two lines it is observed that the lines are having the same slope and intercept.

Therefore, the slope and the intercept of both lines are the same. Because of that, the lines are identical.

To know more about an equation of the line follow

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The manager of a grocery store has selected a random sample of 100 customers. The average length of time it took these 100 customers to check out was 3.0 minutes. It is known that the standard deviation of the checkout time is 1 minute. Refer to Exhibit 8-2. If the confidence coefficient is reduced to .80, the standard error of the mean _____.

Answers

Answer:

The standard error of the mean remains unchanged.

Step-by-step explanation:

Given that:

The standard error (S.E) of the mean [tex]= \dfrac{\sigma}{\sqrt{n}}[/tex] with is independent of confidence coefficient.

The margin of error [tex]E = z \times S.E[/tex]

This explains the claim that as the confidence coefficient reduces, the z-value also reduces, so as the Margin of error (E) but the standard error will always remain unchanged.  

i.e.

From the question;

sample size n = 100

standard deviation = 1

mean = 3.0

The standard error (S.E) of the mean [tex]= \dfrac{1}{\sqrt{100}}[/tex]

= 0.1

So, if the confidence coefficient is reduced to 0.80, the standard error of the mean remains unchanged.

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

Answers

Answer:

72.13

Step-by-step explanation:

If you bought a stock last year for a price of $79, and it has gone down 8.7% since then, how much is the stock worth now, to the nearest cent?​

Answer:

67.55 rounded to the nearest cent.

Step-by-step explanation:

The answer is 67.55 because since 100% minus 8.7% is 85.5% and 85.5% of 67.55 is 67.55 rounded.

PLSSS HELPSSSSSSSSSSS
what is 10 times 1 5 in simplest form?

Answers

10 times 15 would be 150, but I don’t think you can write it in simplest form...

Answer:

150

Step-by-step explanation:

There is no way to write 150 in simplest form

that is the only way to write it unless you 2ant to write it like this 150/1

If the population proportion is 0.90 and a sample of size 64 is taken, what is the probability that the sample proportion is more than 0.89

Answers

Answer:

0.60515

Step-by-step explanation:

Given that:

Population proportion p = 0.9

Sample size = 64

Probability that sample proportion is more Than 0.89

P(p" > 0.89)

(p" - p) ÷ sqrt(p(1 - p) /n)

P(Z > p")

P(Z > (0.89 - 0.9) ÷ sqrt(0.9(1 - 0.9) /64))

P(Z > (-0.01) ÷ sqrt(0.9 * 0.1) / 64))

P(Z > (-0.01) / sqrt(0.00140625))

P(Z > - 0.26667) = 0.6051

Using the Z probability calculator :

P(Z > - 0.26667) = 0.60515

The equation of this line is y = 7x + 3. What would happen to the graph if the equation was changed to y = 2x + 6?

Answers

Answer:

From the graph,

The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)

it is clear that the slope and y-intercept  have been changed.

Step-by-step explanation:

The slope-intercept form of the line equation

y = mx+b

where m is the slope and b is the y-intercept

Given the equation of a line

y = 7x + 3

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 7

y-intercept  = b = 3

Now, the equation changed to y = 2x + 6

y = 2x + 6

comparing with a slope-intercept form of the line equation

y = mx+b

Here,

The slope = m = 2

y-intercept  = b = 6

Thus, if the equation was changed to y = 2x + 6, the slope and y-intercept also get changed from m = 7 to m = 2 and b = 3 to b = 6 respectively.

The lines of both equations is also attached.

From the graph,

The line y = 7x + 3 is represented by a red line with y-intercept (0, 3)The line y = 2x + 6 is represented by a blue line with y-intercept (0, 6)

it is clear that the slope and y-intercept  have been changed.

Help help it’s geometry I need help

Answers

Answer: X = 57.5

Step-by-step explanation:

3x - 65 + x + 15 = 180

4x - 50 = 180

4x = 230

x = 57.5

Answer:

3x-65 degrees

Step-by-step explanation:

Since the angles are vertical angles, y should equal the same value of the corresponding angle.

Suppose a random sample of 50 college students is asked if they regularly eat breakfast. A 95% confidence interval for the proportion of all students that regularly eat breakfast is found to be 0.69 to 0.91. If a 90% confidence interval was calculated instead, how would it differ from the 95% confidence interval

Answers

Answer:

The 90% confidence interval would be  narrower than a 95% confidence interval

Step-by-step explanation:

From the question we are told that

  The 95% confidence interval is  0.69 to 0.91.

Generally the width of a confidence interval is dependent on the margin of error

Generally the margin of error is mathematically represented as  

      [tex]E = Z_{\frac{\alpha }{2} } *  \frac{\sigma }{\sqrt{n} }[/tex]

Here we see that

           [tex]E \ \ \alpha \ \  Z_{\frac{\alpha }{2} } [/tex]

    Here  [tex]Z_{\frac{\alpha }{2} } [/tex]  is the critical value of half of the level of significance .

    This value increase as the value of confidence level increase and vise versa

So for 90% confidence interval , the confidence level is  90% , hence the value of  [tex]Z_{\frac{\alpha }{2} } [/tex]  will decrease  which will in turn decrease the value of E , hence the width of the interval will reduce

So the 90% confidence interval is narrower than a 95% confidence interval when the sample proportion or sample mean is constant

Explain what needs to be fixed.
2n + 10 = -2
2n = 12 Step one
n = 6 Step two

Answers

Answer:

step one needs to be fixed... you are supposed to subtract 10 from both sides of the equation.

Step-by-step explanation:

STEP 1: Move all terms not containing n to the right side of the equation.

[tex]2n=-12[/tex]

STEP 2: Divide each term by 2 and simplify.

[tex]n=-6[/tex]

2.
In an annual function of a school every student has to participate either in sport or
in music. Out of 180 students, if 120 participate in sport and 40 participate in both
activities, find,
(i) how many students participate only in music?
(ii) Represent the above information in a Venn-diagram

Answers

Answer:

1.) 60 students

11.) kindly check attached picture

Step-by-step explanation:

Given that:

Total number of students = n(Total) = 180

Number who participate in sport = n(Sport) = 120

Number who participate in both = n(Sport n Music) = 40

Number who participate only in Music =?

Let number who participate in Music = x

Hence, n(Music only) = x - 40

n(Sport only) = 120 - 40 = 80 students

Summing all should give us n(total)

n(sport only) + n(sport n music) + n(music only) = 180

80 + 40 + (x - 40) = 180

80 + 40 + x - 40 = 180

80 + x = 180

x = 180 - 80

x = 100 students

Therefore,

n(Music only) = x - 40 = 100 - 40 = 60 students

(Identify the type of sampling method used.) A candidate for the senate creates an automated message that calls every third listed phone number and reminds them to vote for him in the upcoming election.

Convenience Sampling
Cluster Sampling
Systematic Sampling
Stratified Sampling

Answers

Answer:

Systematic Sampling

Step-by-step explanation:

Systematic sampling is one of the types of probability sampling method. It is an advanced form of simple random sampling. In this form, from the population of members, sample members are selected randomly. In this random selection, a starting point is fixed. The sample is created when the members are selected from the fixed intervals.  

In the given excerpt, systematic sampling method has been used. Here, the sample has been created by selecting every third listed phone member. The interval has been created between in the sample size.

Use compatible numbers to estimate the quotient.
522 divided by 6 please help!!!

Answers

522 divided by 6 is 87

A grocery store sells steak for $6.10 per pound. What would be the cost of 2 lb of steak?

Answers

Answer: 12.20

Step-by-step explanation:

because if 6.10 is the amount for one pound, then if u need 2 pounds, then multiply 6.10 with 2.

ITS DUE IN LIKE 5 MINUTES PLEASE HELP


Jesse and Amir were assigned the same book to read. Jesse started reading on Saturday, and he is reading 30 pages a day. Amir didn't start until Sunday, but he is reading 35 pages a day.


How many days will it take Amir to catch up to Jesse, and how many pages will they each have read?



Answer the questions to solve this problem using a system of equations.


You will use substitution to solve this system. Which variable will you substitute for and why? Show the equation that results from the substitution. Write your answer in the space below.



5. Solve the system of equations. Show your work. Write your answer in the space below.





I need help ASAP

Answers

Answer:

it will take 1/5 of a day for Amir to catch up to Jesse

Step-by-step explanation:

30x = 35x - 1

30x - 35x = - 1

-5x = -1

-5x/-5 = -1/-5

x = 1/5

Answer: brainliest pls

1. y = 35x

2. y = 30x + 1

3. y = 35x

   y = 30 x + 1

4. Its more convenient to substitute y because It's easier.

    35x = 30(x + 1)

5.  35x = 30x + 1

    35x = 30x + 30

    35x -30x = 30

    5x = 30

    x = 6    (30/5 = 6)

    35 x 6 = 210 (y)

6. Both people have read 210 pages and it takes amir 6 days to catch up.

Step-by-step explanation:

A video game system and several games are sold for $580. The cost of the games is 3 times as much is a cost of the system. Find the cost of the system and the cost of the games. 

Answers

Answer:

The game system is 145, and the games cost 435.

Step-by-step explanation:

4x = 580

580/4=145

145x3=435 which is the cost of the games.

145 is the cost of the game system.

Subtract 8 feet from 9 yards, 1 foot.

7 yards, 1 foot
1 yard, 1 foot
6 yards, 2 feet
6 yards, 1 foo

Answers

Answer:

6 yards 2 feet

Step-by-step explanation:

3 feet per yard making 9 yards and one foot = 28 feet

subtract 8 feet = 20 feet

6 yards 2 feet

Find the area of a regular octagon with side lengths of 17.2 m and an apothem length of 20.8 m.

Answers

Answer:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

Step-by-step explanation:

Pentagon a = 4.9 in. s = 7.1 in. /l ;/ >cvr'-. ~ j-?.1· '19~~. 5) Octagon a = 20.8 m s= 17.2m. ,4 ~;.>a-rt. ::: i, 17. z • t~f "g. ~ :::::, l'/?1 ,0 nt z, ... What is the length of the apothem to the nearest whole number

At the farmer's market,
eight peaches (x) plus
three cantaloupe (y) cost
$63. Two peaches plus
three cantaloupe cost $27.
How much does each fruit
costo

Answers

Answer:

Cantaloupe = $6, peach=$5

Step-by-step explanation:

[tex]8x+3y=63\\2x+3y=27\\[/tex]

Subtract the first one from the second one

[tex]8x-2x+3y-3y=63-27\\6x=36\\x=6\\[/tex]

Plug in:

[tex]2(6)+3y=27\\12+3y=27\\3y=15\\y=5[/tex]

Hope this helps plz hit the crown :D

Mr. Harris has 54.8 acres of land. Mr. Fitz has 0.35 times as many acres as Mr. Harris has. How many acres of land does Mr. Fitz have?

Answers

Answer: 19.8 acres

Step-by-step explanation:

multiply 54.8 by .35 to get 19.18

6. The measure of angle Q is 70 degrees. Find the measure of angle P.
Р
Q
R

Answers

Answer:

angle P measures 40 degrees

Step-by-step explanation:

triangle with 2 equal sides has 2 equal angles also (isosceles triangle)

if angle Q is 70, then R is 70

sum of all interior angles of a triangle is 180; therefore, angle P must be 180-140

What is the relationship between vectors u = ⟨1, 0⟩ and v = ⟨0, –3⟩?

The vectors form an acute angle of approximately 48°.
The vectors form an acute angle of approximately 71°.
The vectors are orthogonal because the angle between them is 90°.
The vectors form an obtuse angle of approximately 132°.

Answers

Answer:

C) The vectors are orthogonal because the angle between them is 90°.

Step-by-step explanation:

got it right on edge :)

The vectors are orthogonal because the angle between them is 90°. Option C is correct.

What exactly is a vector?

A vector is a quantity with a magnitude, and direction that follows the law of vector addition.

Given data;

u = ⟨1, 0⟩

v= ⟨0, –3⟩

The angle between the vector is found by the formula as;

[tex]\rm cos \theta = \frac{u,v}{|u||v|} \\\\ cos \theta = \frac{(1 \times 0) + (0 \times -3)}{\sqrt{1^2+(-0^2)+\sqrt{0^2+(-3)^2}}} \\\\ cos \theta = 1 \\\\ \theta = cos^{-1}1\\\\ \theta = 90^0[/tex]

Hence option C is correct.

To learn more about vectors, refer;

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Give the solution to the system.
-3x + 2y = 3
2x + y = -2
(_,_)​

Answers

Answer:

(-1, 0)

I will solve your system by substitution.

(You can also solve this system by elimination.)

2x+y=−2;−3x+2y=3

Step: Solve2x+y=−2for y:

2x+y+−2x=−2+−2x(Add -2x to both sides)

y=−2x−2

Step: Substitute−2x−2foryin−3x+2y=3:

−3x+2y=3

−3x+2(−2x−2)=3

−7x−4=3(Simplify both sides of the equation)

−7x−4+4=3+4(Add 4 to both sides)

−7x=7

−7x

−7

=

7

−7

(Divide both sides by -7)

x=−1

Step: Substitute−1forxiny=−2x−2:

y=−2x−2

y=(−2)(−1)−2

y=0(Simplify both sides of the equation)

Mai is making personal pizzas. For 4 pizzas, she uses 10 ounces of cheese. How much cheese does she use for each pizza? At this rate, how much cheese will she need to make 15 pizzas?

Answers

Answer:

vkigiots88558s,utt8z85a85a5s85t8s84

Answer:

a. She uses 2.5 ounces per personal pizza

b. At this rate, she will need 37.5 ounces of cheese to make 15 pizzas

Step-by-step explanation:

a. 10/4= 2.5

b. (2.5)x15= 37.5

PLEASE HELPPP ME ITS DUE TODAY

Answers

Answer:

Randall: 44, Amy: 35

Step-by-step explanation:

Four years ago, their age added up to 71. Since four years have passed and they've each grown four years older since then, their ages added up together is 79. Here is the equation for Amy: x + (x + 9) = 79. We can simplify to get 35. Now we add 9 to 35 to get Randall's age. So, Amy's age is 35 and Randall's age is 44, and 35 + 44 = 79.

What is the approimate volume of the cylinder? Use 3.14 for pie

Answers

Answer:

150.72

Step-by-step explanation:

8 x 6 x 3.14 = 150.72

Answer:

150.72

radius times pi

then you have the value of the inside

times it by the height

and you have the volume

Evaluate the expression for a = 3, b=12 , and c = 4.
8ab over 2bc

Answers

Answer:

1

Step-by-step explanation:

8*12=96

96*3=288

4*12=48

48*2=96

96/96=1

Answer:3

Step-by-step explanation:

Im assuming you meant 8ab/2bc

So adding all the numbers you'll have

8x3x12/2x12x4

You first reduce the 12 in the fractions making it

8x3/2x4

and then you reduce the 8 and 2 making it 4

so you'll have

4x3/4

One last time you reduce the two fours making the

answer: 3

The first line of the passage includes a
to introduce a
section and help readers locate it easily,
that
CELL PHONE POLICY
Devices Supplied by the Company
The use of company supplied devices must be limited to
work-related correspondence. They should not be used
for personal communication.
Personal Cell Phones and Devices
Employees are encouraged to limit their use of personal
cell phones and other devices during business hours.
The passage also includes
introduce more specific topics.
The passage is organized according to a
y sequence

Answers

Answer:

Step-by-step explanation:

Answer: 1. heading and subheading

2. subheading

3. point-by-point

Step-by-step explanation:

What is the ratio
18 vocabulary words learned in 2 hours; 27 vocabulary words learned in 3 hours

Answers

Answer:

I believe the answer would be 9

Step-by-step explanation:

I am sorry if I am wrong let me know.


Carly has already jarred 19 liters of jam and will jar an additional 7 liters of jam every day.
How much jam did Carly jar if she spent 6 days making jam? Write and solve an equation to
find the answer.

Answers

Answer:

61

Step-by-step explanation:

7×6 = 42

42+ 19 = 61 Sorry if I'm wrong I tried

Other Questions
In the triangle shown, find x. Evaluate the expression negative 14 plus 5 Lucia is paraphrasing this passage from Through the Looking-Glass to help her understand what she reads. However, the egg only got larger and larger, and more and more human: when she had come within a few yards of it, she saw that it had eyes and a nose and mouth; and when she had come close to it, she saw clearly that it was HUMPTY DUMPTY himself. It can't be anybody else! she said to herself. I'm as certain of it, as if his name were written all over his face. It might have been written a hundred times, easily, on that enormous face. Humpty Dumpty was sitting with his legs crossed, like a Turk, on the top of a high wallsuch a narrow one that Alice quite wondered how he could keep his balanceand, as his eyes were steadily fixed in the opposite direction, and he didn't take the least notice of her, she thought he must be a stuffed figure after all. And how exactly like an egg he is! she said aloud, standing with her hands ready to catch him, for she was every moment expecting him to fall. Which detail does Lucia need to avoid in her paraphrase? .A.The egg is Humpty Dumpty.B.Alice expects Humpty Dumpty to fall.C.Humpty Dumpty crosses his legs.D.The egg has eyes, a nose, and a mouth. What does the quote If you make a mistake and do not correct it, this is called a mistake by Confucius mean? (First to answer get brainllest) Use context to determine the correct meaning of the word state in the sentence. Listening to several people talk at once left Jerrod in a state of confusion. What does the word state mean in the sentence? declaration a condition of the mind central government social status(First to answer get brainllest) How many monomers are in the polymer of a lipid what would most likely be joined by an ionic bond? The Vietnam War considered a success of Containment theory.A) TrueB) False Please help! 20 points! Idk what I'm doing wrong. Find the distance Sara walks from A to B, B to Cthen C to D? Sam earns $54 275 in a year.He pays no income tax on the first $8200.He pays 18% income tax on everything he earns over $8200.a Work out how much income tax he pays.b Work out what percentage of his income he pays in tax.If the income tax rate is increased to 21%, how much more tax will Sam pay? can someone help me I will mark brainliest please help 10 Plz Help Cube Measuring Volume! Which of the following people demonstrated entrepreneurship?A Benjamin worked hard every day at a grocery store, so his boss gave him a raise.B Maria wanted a new smartphone, so she saved her paychecks until she could afford it.C Mateo invested all of his money in the stock of a very popular coffee company.D Kara learned to code and started a company designing websites for other businesses please help fast will mark brainliest GAIQNFKDKER HELP PLZ HELP MEEEEEEEEE PLSSS What is the purpose of the process picture above To have an attractive table and a well-set table, which of the given statements below should be followed?Select one:a. The silver, china and glassware should not be placed in straight lines both lengthwise and across the table.b. Size is not important because the wrong size will look awkward.c. Table linen should be durable and serviceable, attractive and suited to other appointments, reasonably priced and easily laundered.d.The centerpiece should be higher for people to see each other across the table. cam hits the bullseye in 8 darts out of 15 throws. what is the experimental probability that came next throws will hit the bullseye?