What is the slope of a Lineperpendicular to 3x 2y 6 2 3?

Answers

Answer 1

The slope of a line perpendicular to 3x + 2y = 6 and passes through the (2,3) is 2/3.

The slope-intercept version of the line's equation is what we need. In other words, we want y=mx+b in the form of ax+by=c. M is the slope and b is the y-intercept in the slope-intercept form.

The slope of the line parallel to the provided line is equal to the reciprocal of the supplied slope in the negative direction. Therefore, the slope is m=-1/m. The original equation is solved to produce the following result in general form:

Equation of line intercept form is

y=mx+c

3x+2y=6

2y=6-3x

y = [tex]\frac{6-3x}{2}[/tex]

y = [tex]\frac{3-3x}{2}[/tex]

y = -[tex]\frac{3x}{2}[/tex] + 3

the slope of the line is m = -3/2

Slope of line which is perpendicular to the given line = 2/3

The new line passes by (2,3)

Equation of new line is y = 2/3x + 3.

So, the slope of a line perpendicular to 3x + 2y = 6 and passes through the (2,3) is 2/3.

To learn more about slope of line perpendicular link is here

brainly.com/question/10431875

#SPJ4

The complete question is:

What is the slope of a Line perpendicular to 3x + 2y = 6 and passes through the (2,3)?


Related Questions

Debbie rides her bike 6 miles in 30 minutes. At this rate, how many minutes will it take her to ride 21 miles?

Answers

Answer:

105

Step-by-step explanation:

Time is always x, the independent variable.

Distance, money, etc. is always y, the dependent variable, when dealing with time.

Start with the ratio of 6:30.

If you travel 6 miles in thirty minutes, how many do you have in one?

Simplify it like this: [tex]\frac{6}{30} :\frac{30}{30}[/tex] [tex]= \frac{1}{5}: \frac{1}{1}[/tex]    

You travel a fifth of a mile in 1 minute. Now you must find out how much it takes to get from [tex]\frac{1}{5}[/tex] to 21.

(Hint: 21 ÷ [tex]\frac{1}{5}[/tex])

You may use a calculator.

So it takes 105 minutes just to cover 21 miles, and this can be shown in fraction form as [tex]\frac{21}{105}[/tex], or simpler, [tex]\frac{1}{5}[/tex].

Please forgive me if I am wrong. I trusted my brain and calculator, yet I will take full blame.

question 13 of 99 sarah answered 12 questions correct and scored 80%. how many questions were on the quiz?

Answers

If Sarah answered 12 questions correctly, then there must have been 15 questions on the quiz in total. This is because 80% of 15 is 12. To calculate this, you would use the equation: (number of correct answers/total number of questions) x 100.

Since Sarah got 80%, if you plug in 12 for the number of correct answers, the total number of questions must be 15.   To check this answer, you can also use the equation: (percentage/100) x total number of questions = number of correct answers. If you plug in 80 for the percentage and 15 for the total number of questions, the answer would be 12, which is the number of correct answers Sarah got. This confirms that there were 15 questions on the quiz.

To know more about equation refer  to the  link  brainly.com/question/29538993

#SPJ4

what is 9/2 as a whole number?

Answers

Answer: 11

Step-by-step explanation:

Find the binomial that completes the factorization
S^3-1=( )(s^2+s+1)

Answers

The binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

What is binomial?

A polynomial called a binomial has only terms. As an illustration, x + 2 is a binomial, where x and 2 are two distinct terms. Additionally, in this case, x's exponent, coefficient, and constant are all equal to 1.

A binomial is an algebraic expression with two terms that contains a variable, a coefficient, exponents, and a constant. The binomial polynomial x2 + 4x is another illustration. 

Given that

S³-1=( )(s²+s+1) complete the factorization by finding the correct binomial

But this expression follows difference of cubes and factors as

a³ - b³ = (a - b)(a² + ab + b²)

With this, we can write the binomial as

S³-1=(S - 1)(s²+s+1)

Thus, the binomial that completes the factorization S³-1=( )(s²+s+1) is (S - 1).

Learn more about binomial

https://brainly.com/question/13870395

#SPJ1

You roll a six-sided number cube (dice) once. How likely is it that you will roll a number less than 1? How likely is it that you will roll a number less than 7?

Answers

The probability that a number less than 1 will be rolled is 0 and the probability that the the number rolled will be less than 7 is 1

What is Probability?

A probability is a number that reflects the chance or likelihood that a particular event will occur. Probabilities can be expressed as proportions that range from 0 to 1, and they can also be expressed as percentages ranging from 0% to 100%.

Probability = sample space / total possible outcome

A fair die has 6 sides and each sides named from 1 to 6. Therefore the highest number one can get on a die is 6 and the least is 1

Therefore the probability to get a number less than 1 = 0/6 = 0

The probability of getting a number less than 7 = 6/6 = 1

learn more about probability from

https://brainly.com/question/24756209

#SPJ1

Mrs. Wilke spends $72 on pies for the school fair. Each pie costs $8. How many pies does Mrs. Wilke buy for the school fair?

Answers

Answer:

9 pies

Step-by-step explanation:

We know

Mrs. Wilke spends $72 on pies

1 pie = $8

We take

$72 divided by $8 = 9 pies

So, Mrs. Wilke buys 9 pies for the school fair.

A soccer club has 560 members. So far, 78
of the members have helped clean up their practice park.

What percent of the members have helped clean up the park?
How many members have helped clean up the park?

Answers

The percentage of members who have contributed to park cleanup will be 87.5%.

There will be 490 members who have helped clean up the park.

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

As per the question, So far, 7/8 of the soccer club's 560 members have helped clean up their practice park.

The percentage of members that helped clean up the park will be calculated as :

= 7/8 × 100

= 87.5%

The members that have helped clean up the park will be calculated as :

= 7/8 × 560

Apply the multiplication operation, and we get

= 490 members

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ1

can somebody help me if you can i will give you 10 points

Answers

Answer:

D and C

Step-by-step explanation:

one way of solving systems of linear equations is by adding a multiple of one equation to the other. the multiplier for the first equation is chosen so that one of the two variables will cancel out in the sum. what should you multiply the equation y

Answers

To eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation)

One way of solving systems of linear equations is by using the method of elimination. This method involves adding or subtracting a multiple of one equation to the other in order to eliminate one of the variables.

In order to eliminate one of the variables, you should multiply the first equation by a coefficient that will make one of the variables in the first equation the opposite of the corresponding variable in the second equation when they are added.

For example, if you want to eliminate the variable x, you should multiply the first equation by a coefficient that makes the coefficient of x in the first equation the opposite of the coefficient of x in the second equation.

So if the equation is y = mx + b, to eliminate the x variable, you should multiply the equation by -(coefficient of x in the second equation)/(coefficient of x in the first equation).

It's important to note that you should be careful when choosing the coefficient, you should make sure that you don't divide by zero.

Read more about the system of linear equations:

brainly.com/question/24085666

#SPJ4

using laws of exponents , i3 = ( i ^ 2 ) i =

Answers

Answer: laws and points

Step-by-step explanation:

What is the value of the integral of x^3 from 0 to 2?

Answers

Answer:   4

=======================================

Work Shown:

[tex]\displaystyle \int_{0}^{2}\text{x}^3d\text{x}\\\\\\\displaystyle \frac{1}{4}\text{x}^{4}+C\bigg|_{0}^{2}\\\\\\\displaystyle \left[\frac{1}{4}2^{4}+C\right]-\left[\frac{1}{4}0^{4}+C\right]\\\\\\4\\\\\\\text{Therefore,} \ \displaystyle \int_{0}^{2}\text{x}^3d\text{x} = 4\\\\[/tex]

-----------

The integral rule I used in the 2nd step was

[tex]\displaystyle \int \text{x}^{n}d\text{x} = \frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex]

in which you can verify it's valid by differentiating [tex]\frac{1}{n+1}\text{x}^{n+1}+C\\\\[/tex] to end up with [tex]\text{x}^{n}[/tex] again.

Answer:

To find the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2, we need to evaluate the definite integral:

[tex]\int_{0}^{2} {x}^{3} dx[/tex]

Using the power rule of integration, we can integrate the function as follows:

[tex]\int {x}^{3} dx = \frac{{x}^{4}}{4} + C[/tex]

where C is the constant of integration.

Plugging in the limits of integration, we get:

[tex]\int_{0}^{2} {x}^{3} dx = \left[\frac{{x}^{4}}{4}\right]_{0}^{2}[/tex]

[tex]= \left(\frac{{2}^{4}}{4}\right) - \left(\frac{{0}^{4}}{4}\right)[/tex]

[tex]= \frac{16}{4} - 0[/tex]

[tex]= 4[/tex]

Therefore, the value of the integral of [tex]{x}^{3}[/tex] from 0 to 2 is 4.

Which value is a solution of the equation 3-2x=-5?A. 2
B. 4
C. -2
D. 1/5

Answers

Answer: B.4

Step-by-step explanation:

3-2x=-5

-3        -3

-2x/-2 = -8/-2

x=4

Answer:

B.4

Step-by-step explanation:

3-2x=-5

-3 -3

-2x/-2 = -8/-2

x=4

How many solutions are there in a quadratic equation *?

Answers

Quadratic equation will have 2 solution

Common quadratic equation as follows :

[tex]f(x) = ax^{2} + b(x) + c[/tex]

where :

a is the coefficient of [tex]x^{2}[/tex]

b is the coefficient of x

c is the constant term

To solve this equation there are several ways to do. One of the way is by factor.

For example :

[tex]x^{2} +7x + 10 = 0[/tex]

From above equation we search for factor. Assume they are a and b.

a. If a x b, the result will be 10

b. If a + b , the result will be 7

As we know that factor of 10 is 1, 2, 5, 10.

The best answer for those equation will be a = 2 and b = 5

[tex]x^{2} + 7x +10 = 0[/tex]

( x + 5 )( x + 2 ) = 0

x = -5 or x = -2

So the equation will have 2 solution. They are -5 and -2

Learn more about quadratic equation here

https://brainly.com/question/30098550

#SPJ4

You want to have 100,000 fund in 12 years. How much money will you have to deposit now in an account with an APR, annual percentage rate, of 8% and compounding monthly?

Answers

[tex]~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill & \$ 100000\\ P=\textit{original amount deposited}\\ r=rate\to 8\%\to \frac{8}{100}\dotfill &0.08\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{monthly, thus twelve} \end{array}\dotfill &12\\ t=years\dotfill &12 \end{cases}[/tex]

[tex]100000 = P\left(1+\frac{0.08}{12}\right)^{12\cdot 12}\implies 100000=P\left( \frac{151}{150} \right)^{144} \\\\\\ \cfrac{100000}{\left( \frac{151}{150} \right)^{144}}=P\implies \boxed{38411.47\approx P}[/tex]

PLEASE HELP ASAP!!!!!

Answers

Answer: It's the first one

Also could you mark my answer as brainliest? It helps and doesnt hurt

Team Alpha and team Zeta are the finalists in a scholastic quiz. Before the quiz begins, Jamie randomly polls audience members about which team they think will win.


Select the correct probability model that represents the situation.

Answers

The probability model that either team Alpha or team Zeta will win is 1/2.

What is probability?

It is the chance of an event to occur from a total number of outcomes.

The formula for probability is given as:

Probability = Number of required events / Total number of outcomes.

We have,

Number of teams in the quiz = 2

i.e

Team Alpha and team Zeta.

Now,

The probability that team Alpha will win.

= 1/2

The probability that team Zeta will win.

= 1/2

Thus,

The probability model that one team will win is 1/2.

Learn more about probability here:

https://brainly.com/question/14099682

#SPJ1

Please help its finals

Answers

Mrs. Cheng's class lost the most pencils as the median value is larger than Mr. Simson's class.

Option B is the correct answer.

What is median?

It is the middle value of the given set of numbers after arranging the given set of numbers in order.

We have,

The box plot displays the number of pencils lost in a school year.

Mr. Simpson's class.

From the box plot,

Median = 14.5

Mrs. Cheng's class.

From the box plot,

Median = 16

The median tells us the average number of pencils lost.

Mrs. Cheng's class median is larger than Mr. Simpson's class.

Thus,

Mrs. Cheng's class lost the most pencils.

Learn more about the median here:

https://brainly.com/question/28060453

#SPJ1

Enter the correct answer in the box.
Replace the values of m and n to show the solutions of this equation.
x² + 6x - 5=0
√0
(0)
(0) 101
Vo
d
4
x=m+n

Answers

The solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

What is equation?

An equation is an expression that states the equality of two mathematical quantities. It usually involves a set of mathematical symbols, such as an equal sign, numbers, and operators, which represent the relationship between the two sides of the equation. Equations are used to solve a variety of mathematical problems, ranging from simple equations to complex systems of equations.

We can solve this equation by using the Quadratic Formula.
The Quadratic Formula states that x = (-b ± √(b² - 4ac))/(2a).
In this equation, a = 1, b = 6, and c = -5.
Therefore, x = (-6 ± √(6² - 4(1)(-5))/(2(1))
x = (-6 ± √36 + 20)/2
x = (-6 ± √56)/2
x = (-6 ± √7(8))/2
x = (-6 ± 8)/2
x = (m = -14/2) + (n = 8/2)
Therefore, the solutions of the equation x² + 6x - 5 = 0 are m = -7 and n = 4.

To know more about equation click-
https://brainly.com/question/2972832
#SPJ1

Which of the following ordered pairs represent points that lie on a horizontal line?

Answers

The ordered pairings (-2, 3), and (-5, 3), respectively, depict points along a horizontal line.

What is horizontal line?

Let's go over some information on the horizontal line.

If the y-coordinates of every point along the line are equal, the line is horizontal.

The horizontal line's slope is zero and it is perpendicular to the x-axis.

Because the y-coordinates of every point on the line equal b, the equation of the horizontal line through point (a, b) is y = b.

Find the points with the same y-coordinates in order to identify the ordered pairs that represent points along a horizontal line.

Response A:

The paired numbers are (-2, 3), and (-5 , 3)

X is located between -2 and -5.

3 and 3 are the y-coordinates.

The two ordered pairs' y-coordinates are equivalent.

Points (-2, 3) and (-5, 3) are adjacent on a horizontal axis.

To learn more about  horizontal line refer to:

https://brainly.com/question/14197570

#SPJ1

Tyrone had some milk. He used 1 1/6 cup of milk to make hot chocolate. Then he bought 2 5/6 cups of milk at the store. Now Tyrone has 3 1/6 cup of milk. How much milk did Tyrone have to start?

Answers

Tyrone initially had 1 1/6 cup amount of milk, but after buying 2 5/6 cups of milk at the store, he now has 3 1/6 cups.

1. Start with 1 1/6 cups of milk

2. Add 2 5/6 cups of milk

3. 1 1/6 + 2 5/6 = 3 1/6 cups of milk

Tyrone started out with 1 1/6 cup of milk. This could have been used for any number of things, such as cereal or baking. He then used 1 1/6 cup of this milk to make hot chocolate. After using the milk, Tyrone decided to buy 2 5/6 cups of milk from the store. This was most likely to make up for the milk he had used and to have enough for future use. Adding the 2 5/6 cups of milk to the 1 1/6 cup of milk he had originally gives a total of 3 1/6 cups of milk. This means that Tyrone had 1 1/6 cup of milk to start.

Learn more about amount here

https://brainly.com/question/28970975

#SPJ4

Solve for X (photo attached)

Answers

Answer:

x=5

Step-by-step explanation:

set (2x+41)=51

subtract 41 from both sides

2x=10

divide each side by 2

x=5

What is the difference between a parameter and a statistic example?

Answers

Parameters are numbers that describe the properties of entire populations. Statistics are numbers that describe the properties of samples.

I need the work and the answer

Answers

62/100 is the fraction

31/50 is the simplest form

How to write percent as a fraction simplest form?

explanation:

62%

= 62/100

= (62/2) / (100/2)

= 31/50

The final answer is 31/50~

62%

to get rid of the percentage sign  and change to a fraction divide by 100

62/100

divide both numbers by to to change to simplest form

= 31/50

31/50 by the way I love how some people realize so many people answered this question already and decide they should add something that is totally not necessary.

To learn more about fraction refers to;

https://brainly.com/question/30044020

#SPJ1

The corners for a fence are located at A(11,3), B(3,-11) C(-13,-9), and D(-5,9). What is the best description of the shape enclosed by the fence?

Answers

The polygon with vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) is a rhombus

What are Vertices of a Polygon

The vertices of a polygon are the points where the sides of the polygon meet. A polygon is a closed shape that is made up of a finite number of straight line segments. The number of sides in a polygon is called its order or its degree.

The vertices of a polygon can be used to identify the shape of the polygon, for example a triangle with vertices (2,3), (4,5) and (6,7) are different from triangle with vertices (3,4), (5,6) and (7,8)

In addition, the vertices can be used to find the lengths of the sides of the polygon and to calculate its area and perimeter. Vertices can also be used to indicate the relative position of a polygon to other shapes or figures.

It's worth noting that the term "vertex" is also used to refer to the top of a pyramid or cone and the peak of a mountain. In these cases, it refers to the highest point of the object.

In this problem, the vertices A(11, 3), (3, -11), C(-13, -9) and D(-5, 9) when plotted on a graphing calculator shows that the two opposite sides are not equal to one another.

The shape with the vertices is a rhombus.

Learn more on vertices here;

https://brainly.com/question/7644338

#SPJ1

Does an acute triangle equal 180 degrees?

Answers

Yes, All three interior angles of an acute triangle measure less than 90°. The sum of the angles of an acute triangle adds up to 180°.

An acute triangle is a triangle in which all three interior angles are less than 90º. Although the three interior angles of the acute triangle lie between 0° to 90°, their sum is always 180 degrees.

Triangles can be categorised on the basis of angles and sides. An acute triangle is one that is categorised on the basis of the measurement of angles. If all the interior angles of a triangle are less than 90°, then the triangle is stated to be an acute triangle.

To know more about acute triangle, here

https://brainly.com/question/1311149

#SPJ4

What is the value of x?

Answers

Answer:  i think (0,3)

Step-by-step explanation:

In an apartment complex of 100 people, 40
of the residents read USA Today, 25 read
the New York Times and 9 read both.
Given that a resident reads USA Today,
what is the probability that they also read
the New York Times? Enter your answer as
a fraction.

Answers

The probability that they read both newspapers will be 9/40.

What is probability?

Probability denotes the likelihood of something happening. It is a mathematical discipline that deals with the occurrence of a random event. The value ranges from zero to one. Probability has been introduced in mathematics to predict the likelihood of occurrences occurring. Probability is defined as the degree to which something is likely to occur. This is the fundamental probability theory, which is also utilised in probability distribution. To determine the likelihood of a particular event occurring, we must first determine the total number of possibilities.

Now,

Total people=100

Reads USA today=40

Reads NY times=25

Reads both=9

Probability of people who read USA today=40/100

Probability that they also read NY times given they also read USA today=(9/100)/(40/100)

=9/40

To know more about probability visit the link

https://brainly.com/question/30034780?referrer=searchResults

#SPJ1

Which box-and-whisker plot represents this data: 6, 7, 9, 9, 20, 22, 26, 28, 29, 30?

Answers

As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

what is mean ?

The mean of a dataset, often known as the arithmetic mean, is the sum of all values divided by the total number of values (as opposed to the geometric mean). This is the most often used indicator of central tendency and is frequently referred to as the "mean." This is obtained by dividing the number of values in the dataset by the sum of all the values. Calculations can be performed using either raw data or data that has been integrated into frequency tables. A number's average is referred to as its average. Simple math can be used to determine: After adding up all the digits, divide by the number of digits. the sum divided by the number.

given

N = 10 observations were made.

The base number is 6. ( least value)

Quartile lower, n+1 = 0.25

term = 0.25(13) = 3.25term = 13

Median equals 0.5 (n + 1)

term = 0.5(13) = 6.5 term = (20 + 24) /2 = 22

Upper quartile: 0.75 (13)

Interquartile Range (IQR) is equal to Q3 - Q1 (26.5 - 13) = 13.5

The highest value is 30. (highest value in the distribution)

As a result, the Last boxplot is the one that shows the distribution that is given and the highest value is 30 .

To know more about mean visit:

https://brainly.com/question/30094057

#SPJ1

A train is traveling at a constant speed and has traveled 67.5 miles in the last 1(1)/(2) hours. Which equation shows the proportional relationship between the distance, d, and the time, t, that the train has traveled?
a)d=45t
b)d=50t
c)d=67.5t
d)d=69t

Answers

Answer:

a)

Step-by-step explanation:

By definition; for constant speed,

S = ∆d/t

= 67.5/1.5

= 45

Therefore, the relationship between d and t is giving as; d = 45t

how much is a penny that doubles everyday for 30 days?

Answers

If you doubled a penny every day, you would have $5,368,709.12

You can see that the decision is rather straightforward: having a single penny that doubles every day for a month are preferable to receiving $1 million upfront. This is due to compound interest's strength.

The interest earned on savings that are computed using both the original principal and the interest accrued over time is known as compound interest.

It is thought that Italy in the 17th century is where the concept of "interest on interest" or compound interest first appeared. It will accelerate the growth of a total more quickly than simple interest, which is solely calculated on the principal sum.

Money multiplies more quickly thanks to compounding, and the more compounding periods there are, the higher the compound interest will be.

If I double this particular penny every day, I would have 30 extra pennies, plus my original one. I have $0.31 literal dollars

On day 30, if you doubled a penny every day, you would have $5,368,709.12.

Know more about compound interest at:

https://brainly.com/question/28020457

#SPJ4

Other Questions
PLS HELP!!!!!!!!!!!!!! Employee Motivation and Engagement. Please write word answer that I can use What is the answer for 7 to the power of zero? I got stuck, does anyone know how to do this? What was a major characteristic of the khyber pass? which of the following statements about lift is most accurate? group of answer choices theoretical lift and maximum lift are always equal. dependable lift and maximum lift are always equal. a total vacuum can be obtained using a fire department pumper. a total vacuum is impossible to create using fire service equipment. which type of contract is specifically and clearly stated? Is Gregory a boy name? Please help!! 45 points I need this quickCompare the Articles of Confederation to the Constitution. Pick five topics of comparisons and create an infographic using Canva, Word, Pages, or another digital platform, prove that any nonzero rational number may be written as the product of two irrational numbers. What were the five largest cities in 1790? f(x)=8x-6 ; shifts 7 units right a new clinic patient with joint swelling, pain, and fatigue is being tested for sle. which test will provide the most specific findings for the nurse to review What is the marginal cost of producing a fifth soccer net? $1.00 $1.50 $2.00 $2.50 martin luther king jr trivia questions and answers which of the following statements is correct? multiple choice revenue is recognized at the time of shipment when goods are shipped fob destination. sales returns and allowances are reported as operating expenses on an income statement. a seller records revenue when title and risks of ownership transfer to the buyer. sales discounts are reported as cost of sales on an income statement. The hair-like projections that cover the surface of an enterocyte and contribute to the increased surface area of the small intestine are called microvilli. Which describes a eukaryotic cell, but not a prokaryotic cell? Ball #1 is rolling 99 m/s directly toward a 0.55 kg ball #2 at rest. During the collision, ball #1 stops and ball #2 is launched forward at 78 m/s. What is the mass of ball #1?