Write an equation in lope intercept form and in tandard form for (-2,6) and parallel to x3y=5

Answers

Answer 1

Equation in slope intercept form and in standard form for (-2,6) and parallel to x3y=5 will be x + 3y = 10

Given equation =>  x + 3y = 5

3y = -x + 5 so, we have to write it in the equation form,

y = -(1/3)x + 5/3

slope = -1/3     Parallel lines have the same slope.

Now, you have a point and a slope, so use the Point-Slope form of the equation of a line.

y - y1 = m(x - x1) , by using the equation of line

y - 6 = (-1/3)(x - 2), then we get

y - 4 = (-1/3)x + 2/3

y = (-1/3)x + 3 1/3   Slope-intercept Form

(1/3)x + y = 10/3     Multiply both sides by 3.

x + 3y = 10    Standard form

So, the equation is x + 3y = 10

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Related Questions

You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets. Your friend finds $1 near your table and asks if it belongs with the ticket money. Do you think it does?

Answers

The 1 dollars found near the table by your friend is likely the money for the tickets.

How to find if the money belong to the ticket money?

You are selling tickets at a dance. Individual tickets cost $6, and 2 tickets for a couple cost $10. After the dance, you count $1075 and 195 tickets.

let

x = number of individual ticket

y = number of couple tickets = 2x

Therefore, using equation,

2x(10) + 6x = 1075

2x + x = 195

Hence,

20x + 6x  = 1075

3x = 195

x = 195 / 3

x = 65

Hence,

26x = 1075

26(65) = 1690

Therefore, the money on the table is the ticket money because the money is short of the amount of the tickets in dollars.

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Sam purchased a 30$ bus pass. Each time they ride the bus, $2.25 is deducted. Write an equation to show the amount of money left on the bus pass after x rides.

Answers

Answer:

-2.25x = 30

Step-by-step explanation:

I hope this helps!

innequality of |2x+7|+9 >18.

Answers

For the given inequality of |2x+7|+9 >18 the values of x are x< -8 or x>1.

What is meant by inequality?

The state of not being equal, particularly in terms of status, rights, and opportunities, is a fundamental concept in social justice theories. It can be perplexing in public conversation since it typically has distinct meanings to different individuals. However, some variations are common. An inequality in mathematics is a comparison between two numbers or other mathematical expressions that is unfair. Various notations are used to denote different kinds of inequality, including:

A less than sign, such as a, denotes that an is greater than b.

Given inequality is:

|2x+7|+9 >18.

First we have to rearrange all the variables to the left side of the given equation:

Then,

|2x+7|>18-9

|2x+7|>9

2x+7>9 or 2x+7< -9

S0, x>1 or x< -8

Therefore, x< -8 or x>1

Hence, For the given inequality of |2x+7|+9 >18 the values of x are x< -8 or x>1.

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Solve the system by substitution. { − 4 . 5 x − 2 y = − 12 . 5 3 . 25 x − y = − 0 . 75

Answers

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

The value of x is 1.

The value of y is 4.

What is an equation?

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 - 9 = 5 is an equation.

We have,

-4.5x - 2y = -12.5 ____(1)

3.25x - y = -0.75 _____(2)

From (1) we get,

-4.5x + 12.5 = 2y

y = (-4.5x + 12.5) / 2 _____(3)

Now,

3.25x - y = -0.75

Putting (3) in (2) we get,

3.25x - (-4.5x + 12.5) / 2 = -0.75

6.5x + 4.5x - 12.5 = 2 x -0.75

11x - 12.5 = -1.5

11x = -1.5 + 12.5

11x = 11

x = 1

Now,

From (3) we get,

y = (-4.5x + 12.5) / 2

y = (-4.5 x 1 + 12.5) / 2

y = (-4.5 + 12.5) / 2

y = 8/2

y = 4

Thus,

The value of x is 1.

The value of y is 4.

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Mr. Miller weigh 180pound. If hi weight decreae by 10% how much i hi new weight?

Answers

In linear equation,  162 is his new weight .

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Mr. Miller weigh =  180pound

10% decrease =  180 * 10/100

                        = 18

new weight = 180 - 18

                   =   162

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The odd numbers in this group add up to an even number: 15, 32, 5, 13, 82, 7, 1.

Answers

False? Not sure what you need

Find the area of the triangle below. Be sure to include the correct unit in your answer. 8 cm 9 cm 18 cm

Answers

Answer:

648

Step-by-step explanation:

An easy way to do this is to multiply all sides, then divide by 2.

8 × 9 × 18 = 1296

Now divide that by 2:

1296 ÷ 2 = 648

The area of the triangle is 648.

Help me with ixl please

Answers

Answer:

∠AFB

Step-by-step explanation:

Vertical angles are opposite to one another and share the same vertex or endpoint. ∠DFE is ∠AFE both share the point F, and they are opposite to each other, so they are also vertical to each other.

1/2 divided by 2 In fraction

Answers

Answer:

1/4

Step-by-step explanation:

1/2 divided by 2 would be 0.25, and since that's a quarter it would be 1/4.

Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet. The enclosed area of the Alamo Mission was 480 feet long and 160 wide.


What should the length of the enclosed area of the scale model be in inches?

Answers

Th length of the enclosed area of the scale model in inches is 32 inches.

How to find the length of the enclosed area of the scale model in inches?

Joseph and Raquel are building a scale model of the Alamo Mission for their Texas history project using a scale in which 2 inches represents 30 feet.

The enclosed area of the Alamo Mission was 480 feet long and 160 feet wide.

The length of the enclosed area of the scale model in inches can be calculated as follows:

30 feet = 2 inches

480 feet = ?

cross multiply

length of the enclosed area = 480 × 2 / 30

length of  the enclosed area = 960 / 30

length of the enclosed area = 32 inches

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-2x2 + 8x = 10 using the Quadratic Formula. Simplify if possible.

Answers

The required solutions are x = 2-i and x = 2+i to the given quadratic function.

What is a quadratic function?

The quadratic function is defined as a function containing the highest power of a variable is two.

We have been given that quadratic function as

-2x² + 8x - 10 = 0

Compare the given function to the standard quadratic function f(x) = ax² + b x + c.

We get a = -2, b = 8 and c = -10

Using the quadratic formula to solve the above quadratic function

[tex]x = \dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

[tex]x=\dfrac{-8\pm \sqrt{8^2-4\left(-2\right)\left(-10\right)}}{2\left(-2\right)}[/tex]

[tex]x=\dfrac{-8\pm \:4i}{2\left(-2\right)}[/tex]

[tex]x=\dfrac{-8+4i}{2\left(-2\right)},\:x=\dfrac{-8-4i}{2\left(-2\right)}[/tex]

x = 2-i, x = 2+i

Thus, the required solutions are x = 2-i and x = 2+i to the given quadratic function.

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A publisher needs to send many books to a local book retailer and will send the books in a combination of small and large boxes. Each small box can hold 20 books and each large box can hold 45 books. There were twice as many large boxes sent as small boxes, which altogether can hold 440 books. Write a system of equations that could be used to determine the number of small boxes sent and the number of large boxes sent. Define the variables that you use to write the system.

Answers

In linear equation,   20x + 45y = 440 ,     y = 2x  Where x is the number of small boxes sent and y  is the number of large boxes sent.

What in mathematics is a linear equation?

A linear equation is a first-order (linear) term plus a constant in the algebraic form y=mx+b, where m is the slope and b is the y-intercept.

                                  Sometimes, the aforementioned is referred to as a "linear equation of two variables," where x and y are the variables.

Let be x the number of small boxes sent and y the number of large boxes sent.

Since each small box can hold 20 books (20x), each large box can hold 45 books (45y)and altogether can hold a total of 440 books, we can write the following equation to represent this

                 20x + 45y = 440

According to the information provided in the exercise, there were 4 times as many large boxes sent as small boxes. This can be represented with this equation

              y = 2x

Therefore, the system of equation that be used to determine the number of small boxes sent and the number of large boxes sent, is

                20x + 45y = 440

                      y = 2x

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PLEASE HELP ME I GIVE YOU POINTS

Answers

Answer:1.44

Step-by-step explanation:

If A+K=4 and AK=3 then find the vale of A³+K³​

Answers

Answer:

Below

Step-by-step explanation:

k = 4-a

a (4-a) = 3

-a^2 +4a -3 = 0   ====> Quadratic Formula ===>  a =  1   and k = 3

1^3 + 3^3 = 28

Eliza bought a hat for $21. The regular price is %30. What percent of the regular price did she pay?

Answers

Answer:

27.3

Step-by-step explanation:

21 times 1.3 = 27.3 = original price

She paid 70% of the regular price of $30.

What is the percentage?

The percentage is defined as representing any number with respect to 100. It is denoted by the sign %. The percentage stands for "out of 100." Imagine any measurement or object being divided into 100 equal bits.

Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.

Given that Eliza bought a hat for $21. The regular price is $30. The percentage will be calculated as,

Percentage = 21 / 30

Percentage = 0.7 x 100

Percentage = 70%

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In the triangle below, with right angle ZA, suppose that m B = (2x)° and mC = (5x-8)°.
Find the degree measure of each angle in the triangle.
B
(2x)
A
A
-
(x – 8)=
mZA
=
mZB =
mZC =
X

Answers

Answer:

m angle B = 27.54 degree

m angle C = 60.85 degree

Step-by-step explanation:

angle A is 90º so the other two angles must sum to 90º

2x+5x-8=90

7x-6=90

7x=96

x=13.77

therefore,

m angle B = 27.54 degree

m angle C = 60.85 degree

A quare i drawn on a grid. Two of it vertice are at (3,3) and (7,7) What i the perimeter of the quare?

Answers

Therefore the solution of this question is  the perimeter of the square on the grid is 16[tex]\sqrt{2}[/tex] units

What is perimeter?

A closed path that covers, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter.

Here,

The perimeter of the square drawn on the grid

The vertices given in the question are (3,3) & (7,7)

The length of the vertices given=[tex]\sqrt{(x_{2} -x_{1})^{2} +(y_{2}- y_{1})^{2} }[/tex]

Thus at vertices  (3,3) & (7,7)

=>[tex]\sqrt{(7 -3)^{2} +(7-3)^{2} }[/tex]

=>4[tex]\sqrt{2}[/tex]

Therefore the perimeter of the square = 4a

thus,

=>4*4[tex]\sqrt{2}[/tex]

=>16[tex]\sqrt{2}[/tex] units

Therefore the perimeter of the square on the grid is 16[tex]\sqrt{2}[/tex] units

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What is y=-2x+5 in standard form

Answers

Answer: 2x+y=5

Step-by-step explanation:

The standard form of a linear equation is

ax+by=c

Move all terms containing variables to the left side of the equation.

2x+y=5

Answer:

2x + y = 5

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{5.5 cm}\underline{Standard form of a linear equation}\\\\$Ax+By=C$\\\\where:\\ \phantom{ww}$\bullet$ $A, B$ and $C$ are constants. \\ \phantom{ww}$\bullet$ $A$ must be positive.\\\end{minipage}}[/tex]

Given equation:

[tex]y=-2x+5[/tex]

To write the given equation in standard form, collect the terms with variables on one side of the equation, ensuring the term in x is positive.

Add 2x to both sides:

[tex]\implies y+2x=-2x+5+2x[/tex]

[tex]\implies y+2x=5[/tex]

[tex]\implies 2x+y=5[/tex]

Solve for x
48° 73° X°

Answers

Answer:

[tex]x=59[/tex]

Step-by-step explanation:

Angles in a triangle add to [tex]180^{\circ}[/tex].

[tex]\implies x=180-48-73=59[/tex]

Determine the slope of m of the line in the graph below ​

Please help me

Answers

Answer:

Step-by-step explanation:

(2, 0), (3, 4)

(4 - 0)/(3 - 2)= 4/1 = 4

Lamont works for a company that pays him $20 per hour, but $50 each week is deducted from his pay for insurance. let p(h) represent Lamont's pay in one week after deductions for working h hours. The function
p
(
h
)
=
20
h

50
p(h)=20h−50 is used to calculate Lamon's weekly pay after the insurance deduction. What is the independent variable?

Answers

The independent variable in the given function is h.

What are Independent and dependent variables?

The Independent variables are those variable whose value does not depend on any other variable. And it causes the change in other variables.

The dependent variable is those variables whose value is not independent and change in this variable is dependent on the change of the independent variable.

Given the function p(h)=20h−50, which represents Lamont works for a company that pays him $20 per hour(h), but $50 each week is deducted from his pay for insurance.

Now, in the given function since the amount that Lamont will get depends upon the number of hours for which he is working.
Therefore, the h is the independent variable and p is the dependent variable.

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Quetion The cot c (in dollar) for the fuel and maintenance of a go-cart i given by c=15x1000, where x i the number of ride. It cot $20 per ride. How many ride doe it take to break even?

Answers

200 rides does it take to break even.

What are the many sorts of cost?

Fixed and variable costs are the two main categories of expenses incurred by enterprises. While variable costs fluctuate with output, fixed costs do not.

                 Sometimes, fixed costs are referred to as overhead costs. They must be paid whether a company produces 100 or 1,000 widgets.

The cost function is given by

C(x ) = 15x + 1000

It is also given that it costs $25 per ride.

so,

Revenue function for x number of rides be

 R(x) = 20x

For break even:-

The cost must be equal to the Revenue i.,e

       C(x) = R(x)

  15x + 1000 = 20x

     1000 = 20x - 15x

     1000 =  5x

        x = 1000/5

        x = 200

Therefore, 200 rides does it take to break even.

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Find the coordinates of the circumcenter of the triangle with the given vertices.
A(2, 2). B(2, 4), C(8, 4)
The circumcenter is

Answers

Answer:D

beacuse it is correct  just trust me i have done this class and its correct

The answer is D!!!!!!

in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.
true
false

Answers

The given statement " in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables. " is false.

In math chi square test means the process of determine if there is a significant relationship between two nominal (categorical) variables.

Here we have the statement, in the chi-square test of independence, large values of the chi-square test statistic indicate a cause/effect relationship between the two categorical variables.

And we need to find the statement is true or not.

According to the definition of chi square test, we know that it checks whether two variables are likely to be related or not.

Here we have counts for two categorical or nominal variables.

So, there is no large value comparision take palce.

Therefore, the statement is false.

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A total of 420 tickets were sold for the school play they were either adult tickets or student tickets the number of student tickets sold was three times the number of adult tickets sold how many adult tickets were sold

Answers

Answer: I believe 140

Step-by-step explanation: This is how I found my answer:

420 / 3

= 140

420-140

=  280

420= number of all tickets sold.

140= number of adult tickets sold

280= number of student tickets sold

You might wonder how I know why it's 140. I know it's 140, because using my context clues, it stated:

"the number of student tickets sold was three times the number of adult tickets."

So, the one that was the bigger amount must be the student's tickets sold, while the lower amount has to be the adult's tickets sold. I hope this helped!

x-½y=0 ½x- 0 ½z=-1 3x-y -z =-2​

Answers

x =2, y=6, z=4 hope this helps

50 POINTS PLEASE HELP QUICK
Which expression is equivalent to 2 and three tenths raised to the fourth power divided by nine tenths raised to the fifth power, all raised to the fourth power?


A: 2 and three tenths raised to the eighth power divided by nine tenths raised to the ninth power

B: 2 and three tenths raised to the sixteenth power divided by nine tenths raised to the twentieth power

C: 1.4 raised to the forth power

D: 1.4 raised to the ninth power

Answers

B is the answer they are both equal to 5.04423x10^6

Answer:

The answer is B

Step-by-step explanation:

I took the test and got it right,(also i have a pic) brainiest pls!!

What is the value of the expression -9x2.2

Answers

Answer:

-1.8x^2

Step-by-step explanation:

I’m pretty sure it’s -19.2

If you deposit $25,000 now at 6.5% compounded quarterly, how much will you have in 30 years?

Answers

A=25000(1+0.065/1)^4•30
A=25000•1.01625^120
A=25000•6.919378
A= $172984.45

In 30 years you will have $172984.45

Answer:

$172,984.44 (nearest cent)

Step-by-step explanation:

[tex]\boxed{\begin{minipage}{8.5 cm}\underline{Compound Interest Formula}\\\\$ A=P\left(1+\frac{r}{n}\right)^{nt}$\\\\where:\\\\ \phantom{ww}$\bullet$ $A =$ final amount \\ \phantom{ww}$\bullet$ $P =$ principal amount \\ \phantom{ww}$\bullet$ $r =$ interest rate (in decimal form) \\ \phantom{ww}$\bullet$ $n =$ number of times interest is applied per year \\ \phantom{ww}$\bullet$ $t =$ time (in years) \\ \end{minipage}}[/tex]

Given:

P = $25,000r = 6.5% = 0.065n = 4 (quarterly)t = 30 years

Substitute the given values into the formula and solve for A:

[tex]\implies A=25000\left(1+\dfrac{0.065}{4}\right)^{4 \cdot 30}[/tex]

[tex]\implies A=25000\left(1.01625\right)^{120}[/tex]

[tex]\implies A=25000\left(6.9193776...\right)[/tex]

[tex]\implies A=172984.4404[/tex]

Therefore, if you deposit $25,000 now at 6.5% compounded quarterly,  you will have $172,984.44 (nearest cent) in 30 years.

Paige can sort her toys in 6 fewer hours that Madison can. When they work together, it
takes them only 4 hours to sort the toys. How long would it take for each of them to sort
the toys alone?

Answers

Let X be the number of hours it takes Paige to sort the toys alone.

It takes Madison X + 6 hours to sort the toys alone.

Together, it takes them X + (X + 6) = 4 hours to sort the toys.

Combining like terms, we get 2X = 4

Dividing both sides by 2, we get X = 2

Therefore, it takes Paige 2 hours to sort the toys alone.

It takes Madison 2 + 6 = 8 hours to sort the toys alone.

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Assuming an efficiency of 45.10%, calculate the actual yield of magnesium nitrate formed from 120.0 g of magnesium and excess copper(II) nitrate.PLEASE HELP!! Outline the mechanism of the conversion of -ketoglutarate to succinyl-CoA catalyzed by -ketoglutarate dehydrogenase complex.Put these 5 steps in order:1. decarboxylation2. transacylation3. dihydrolipoyl dehydrogenase activity4. oxidation of 4-carbon group, reduction of lipoamide disulfide5. enzymatical FADH2 reoxydation by NAD+ Select the correct answer. A school in your neighborhood has stopped conducting music classes for its students. According to institutional anomie theory, which reason isbehind the school's action?OA. The school did not have enough funds to operate. OB The school could not find a good music teacher. . The school diverted funds to prepare students for good jobs. ODThe school considers music as a distraction. How much compound interest will $50,000 have earned in 10 years at6.4% annual interest compounded quarterly? A book of mass 800 g is pushed off of a shelf with a force of 20 N. Given that the book falls with an initial velocity of 2 m/s, calculate the time of contact between the book and the hand pushing it. what is learned it the data from an experiment does not support the hypothesis A tree is currently 8 feet tall and grows 3 feet per yeara. Model this scenario with an arithmetic sequence in explicit formb. Rewrite the explicit form of the sequence using function notationc. How tall will the tree be in 12 years? true or false: the creative decisions involved in filmmaking include decisions around marketing and distribution. a person or an organization that helps another organization sell its goods and services to customers is called a(n) . multiple choice question. vendor internal stakeholder supplier distributor What type of cell is this If f(x) = 2x + 3x - 19, find f(-4) If DG=FG=7, mDEG=u+21, and mFEG=2u, what is the value of u? Which function has the least slope?OA. B.y =x +15y = x - 12C. y = 5x + 23D. y ==7x6 4/5 divided by 1/3 equals? A 24 kg crate is moving at a constant speed because it is being pushed with a force of 53n. What would be the coefficient of kinetic friction between the crate and the floor? A practitioner may be subject to sanctions for disreputable conduct under Circular 230 in all of the following cases, except:The practitioner is subject to an IRS lien for unpaid taxesThe practitioner is convicted of a crime involving identity theftThe practitioner is serving a sentence for a crime involving embezzlementThe practitioner is in jail for a crime involving breach of trust Ancient civilizations including the Mesopotamian empires of Sumer and Babylon, Egypt, and India have all influenced the modern Western world. Which of these ancient civilizations has had the greatest impact on the Western world? Write an essay that argues your viewpoint on this topic. Support your claim with reasons and evidence.PLS HELP MEEEEE Which product is represented by the model?A. 0.050.04=0.002B. 50.4=2 C. 0.50.4=0.2D. 0.50.04=0.02 What is a narrative poem?a poem that summarizes a novel or short storya story told one verse at a time, using linesa story that uses only dialogue and is organized into acts and scenesa poem that lists events from history, in chronological order After his stroke at the age of 80, Austin developed urinary incontinence, meaning he hasless control over elimination of urine from his bladder.recurring urinary tract infections.kidney failure.slowing of the urinary stream flow.