Find the equation of the line that contains the given point and is perpendicular to the given line. Write the equation in slope-intercept form, if possible, (6,2);y=-3x-3

Find The Equation Of The Line That Contains The Given Point And Is Perpendicular To The Given Line. Write

Answers

Answer 1

Answer:

\(y=\frac{1}{3}x\)

Step-by-step explanation:

We need to find a line perpendicular to the given line. Let's first find the slope. If the line is perpendicular, it's slope is the negative reciprocal of the given line:

\(\frac{1}{3}x\)

Now that we know the slope, we can plug in the given points to solve for the y-intercept.

\(y=\frac{1}{3}x+b\\ 2=\frac{1}{3}*6+b\\ 2=2+b\\ b=0\)

Therefore the equation of the line is:

\(y=\frac{1}{3}x\)


Related Questions

Evaluate the expression 2x^2 - x, when x = -3.

Answers

Answer:

21

Step-by-step explanation:

2(-3)^2-(-3)

2(9)+3

18+3= 21

what is the value of x if the LCM of x and 84 is 1260 ,x is odd number​

Answers

Answer:

X=15

Step-by-step explanation:

1260/84=15

Please help me? I am confused.​

Please help me? I am confused.

Answers

Answer:

-5

Step-by-step explanation:

You are trying to find the cube root of a number. Because the number is being multiplied by itself 3 times over, only a negative number could be a cube root of another negative number

the scores in an exam were normally distributed with unknown mean and a standard deviation of 5 . if 30.85 % of students scored more than 72.5 . what is the value of the mean? ( round to a whole number

Answers

The value of the mean for the scores in an exam which are normally distributed is 70.

Given:

the scores in an exam were normally distributed with unknown mean and a standard deviation of 5 .

if 30.85 % of students scored more than 72.5 . what is the value of the mean = ?

Mean = µ

σ = 5

x = 72.5

The z score corresponding to the area 30.85% in the right tail is :

Zi score = Z 0.3085

             = 0.500

Again : Z₀ = x- µ/σ

           ⇒ x- µ = Z₀σ

           ⇒ µ = x - Z₀σ

                  = 72.5 - 0.500 × 5    (using z table)

                  = 72.5 - 2.5

                  = 70

Hence we get the unknown mean as 70.

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Select 2 points in the solution of the inequality graphed below.
654
4
-241
2
X

Select 2 points in the solution of the inequality graphed below.6544-2412X

Answers

The two points that represent the solution of the inequality graph are (-1,0) and (0,2).

What are the function and the solution to the inequality graph?

The function of an inequality graph obeys the linear slope intercept form y= mx + b, but the distinction here is that the equal to sign (=) is represented with >, <, ≥, and ≤, as the case may be. So, we use, > and < when the line is dotted or dashed and  ≥, and ≤, when we have a solid line on the graph.

So, using the two points on the (-1,0) and (0,2), the slope of the graph is 2, and the y-intercept is also 2.

The linear representation of the graph is: y = 2x + 2, in its inequality form, sInce the graph is increasing from the left to the right and the line is solid; we have:

y  ≥ 2x + 2

Therefore, we can conclude that the function of the graph is y  ≥ 2x + 2 and the two points that represent the solution of the inequality graph are (-1,0) and (0,2).

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PLEASE HELP!! find the slope of the graph asap!

PLEASE HELP!! find the slope of the graph asap!

Answers

Answer: I do not understand

Step-by-step explanation:

So, I think the Knave of Spades is telling the truth because he wasn't accused of anything but im not sure. Brainliest goes to whoever answers the question properly :>

So, I think the Knave of Spades is telling the truth because he wasn't accused of anything but im not

Answers

Answer:

B

Step-by-step explanation:

It all starts whether the Knave of Hearts tells the truth or not. You can decide yourself.

Hearts: H

Clubs: C

Diamonds: D

Spades: S

If H lies, C tells the truth, therefor D lies. So S tells the truth

If H tells the truth, C lies. Therefore D tells the truth and S lies

Answer:

2

Step-by-step explanation:

If the knave of hearts did steal the tarts, then the knave of clubs is lying saying that the knave of hearts is lying which mean the knave of diamonds is actually telling the truth when the knave of clubs said the knave of diamonds is lying they are therefore lying.

So in the question may be knave of hearts and Knave of diamonds may be telling the truth OR knave of clubs and knave of spades are telling the truth.

In conclusion, Alice stole the tarts xoxo

Need help quiiickkkk
In 28.8 seconds, the piano plays 48 beats.
Piano Tempo
What is the tempo, in beats per minute, of the piano?
beats per minute

Need help quiiickkkkIn 28.8 seconds, the piano plays 48 beats.Piano TempoWhat is the tempo, in beats

Answers

Answer:

100 beats per minute

Step-by-step explanation:

If it takes 28.8 secs for the piano to play 48 beats, then it would take 60 secs (1 minute) to play x number of beats.

To find the value of x, which is the number of beats the piano makes per minute, let's set the proportion as shown below:

28.8 secs = 48 beats

60 secs = x beats

Cross multiply

28.8*x = 60*48

28.8x = 2,880

Divide both sides by 28.8

x = 2,880/28.8

x = 100

✅Thus, if the Piano plays 48 beats in 28.8 secs, therefore, the tempo of the piano in beats per minute would be 100 BPM

Kierran spends approximately 3 hours per day playing video games and approximately 20 minutes per day doing chores. If Kierran's mother tells him to play video games when he completes his chores, then she is employing the ______________ whereas if she restricts video game play and only allows him to play video games if he does his chores then she is employing the ___________________.

Answers

When she restricts video game play and only allows him to play games if he completes his tasks, she is using the punishment technique.

what is unitary method ?

A mathematical strategy known as the unitary method involves identifying a single unit value and utilizing it to determine additional values based on how they relate to it. The inverse proportionality method and the method of proportionality are other names for it. When dealing with complex problems that include numerous units or quantities, the unitary technique is frequently employed to solve difficulties requiring ratios and proportions. Several industries, including banking, science, engineering, and mathematics, can use it.

given

When Kieran's mother instructs him to play video games after finishing his work, she is using the reinforcement approach.

Drive reduction theory, the Premack Principle

According to the Premack Principle, low probability conduct can be reinforced by using high probability behavior.

According to the hypothesis of drive reduction, animals will take actions to

When she restricts video game play and only allows him to play games if he completes his tasks, she is using the punishment technique.

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the average on a standardized test of educational achievement is 600, and the standard deviation is 50. what is the percentage of the area between 550 and 725?

Answers

37.5% of the area between 550 and 725 on a standardized test of educational achievement lies within one standard deviation of the mean score of 600.

The area between 550 and 725 on a standardized test of educational achievement is equal to the percentage of students whose scores fall within one standard deviation (or 68%) of the mean score of 600. This can be expressed mathematically as:

Percentage = (725 - 550) / (2 * 50) = 37.5 / 100 = 37.5%

To explain in more detail, a standard deviation is a measure of the spread of a dataset around its mean value. The mean value in this case is 600, and the standard deviation is 50. Therefore, one standard deviation from the mean is calculated by subtracting or adding the standard deviation (50) from the mean (600), giving a range of 550 to 650.

Since the area in question spans across two standard deviations (550 to 725), the area is calculated by subtracting the lower range (550) from the upper range (725) and then dividing it by two standard deviations (100). This gives us the area, which is 37.5%.

To summarize, 37.5% of the area between 550 and 725 on a standardized test of educational achievement lies within one standard deviation of the mean score of 600.

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HELP PLEASE!!!

A bakery makes cylindrical mini muffins that measure 2 inches in diameter and one and one fourth inches in height. If each mini muffin is completely wrapped in paper, then at least how much paper is needed to wrap 6 mini muffins? Approximate using pi equals 22 over 7.

A- 14 and 1 over 7 in2
B -23 and 4 over 7 in2
C -47 and 1 over 7 in2
D - 84 and 6 over 7 in2
A,B,C,D which one

Answers

Therefore, the answer is option B 23 and 4/7 inch² that is at least 23 and 4/7 inch² paper is needed to wrap 6 mini muffins.

What is total surface area?

Total surface area refers to the sum of the areas of all the faces or surfaces of a three-dimensional object. It includes the areas of the base, top, and lateral faces of the object. For example, the total surface area of a cube is the sum of the areas of all six faces, while the total surface area of a cylinder includes the areas of both circular bases and the lateral surface area.

Here,

The surface area of each mini muffin can be calculated by finding the lateral surface area of the cylinder and adding the surface area of its circular bases. The diameter of each mini muffin is 2 inches, so the radius is 1 inch. The height is 1 and 1/4 inches. The lateral surface area of each mini muffin is given by:

Lateral surface area = height x circumference

Lateral surface area = (5/4) x 2 x πr

Lateral surface area = (5/4) x 2 x (22/7) x 1

Lateral surface area = 11/2 cm²

The surface area of each circular base is given by:

Surface area of base = πr²

Surface area of base = (22/7) x 1²

Surface area of base = 22/7 cm²

The total surface area of each mini muffin is given by:

Total surface area = Lateral surface area + 2 x Surface area of base

Total surface area = (11/2) + 2 x (22/7)

Total surface area = 69/14 cm²

To wrap 6 mini muffins, we need to multiply the surface area of one mini muffin by 6. So the total surface area needed is:

Total surface area = 6 x (69/14)

Total surface area = 207/7 cm² (approx.)

Converting to square inches and simplifying, we get:

Total surface area = 23 and 4/7 inch²

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Evaluate the integral. π/2 ∫0 cos (t) / √1+sin^2(t) dt

Answers

The given integral is evaluated by using the substitution rule. Integrating by substitution means replacing a given function with another one that makes it simpler to integrate. By putting u = sin(t), and hence du = cos(t) dt, we can easily compute the integral.

The given integral is:
π/2 ∫0 cos (t) / √1+sin^2(t) dt
To evaluate this integral, we will use the substitution rule. Integrating by substitution means replacing a given function with another one that makes it simpler to integrate.
Put u = sin(t), and hence du = cos(t) dt. Then, the given integral becomes:
π/2 ∫0 cos (t) / √1+sin^2(t) dt
= π/2 ∫0 1 / √(1 - u²) du
This is the integral of the function 1 / √(1 - u²), which is a standard integral. We can evaluate it by using the trigonometric substitution u = sin(θ), du = cos(θ) dθ, and the identity sin²(θ) + cos²(θ) = 1.
Thus, we have:
π/2 ∫0 1 / √(1 - u²) du
= π/2 ∫0 cos(θ) / cos(θ) dθ     [using u = sin(θ) and cos(θ) = √(1 - sin²(θ))]
= π/2 ∫0 1 dθ
= π/2 [θ]0π/2
= π/4
Therefore, the given integral evaluates to π/4.

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Select all ratios equivalent to 13:14

52:56. 39:42. 3:4

Answers

Answer:

52:56 and 39:42

Step-by-step explanation:

The ratios equivalent to 13:14 are:

52:56

39:42

3:4 is not equivalent to 13:14 because 3 is not a multiple of 13.

Given the directrix of y = -1 and focus of (0, 3), which is the equation of the parabola?

Answers

Answer:

\(y=\dfrac{1}{8}x^2+1\)

Step-by-step explanation:

Since the vertex is right between the vertex and the directrix, the y value of the vertex must be (3+(-1))/2=1. The x coordinate will just be the same as that of the focus, or in this case 0. This means that the vertex will be at (0,1). Since the graph opens toward the focus, it will be opening up, and since its vertex is at (0,1), it will have an equation of:

\(y=\dfrac{1}{8}x^2+1\)

Hope this helps!

Answer:

y = one eighth x^2 + 1

Step-by-step explanation:

i took the test and got it right

Cookie castle sells 8 - inches cookies for $3 plus a flat $5 delivery fee. Zach has $14 to spend on cookies. Write and solve an equation to determine how many cookies can Zach buy and have delivered

Answers

Using the equatiοn, y = 3x + 5, we fοund that the number οf cοοkies Zach can buy using $14 is 3.

What is meant by an equatiοn?

A fοrmula called an equatiοn uses the equals symbοl (=) tο denοte the equality οf twο expressiοns. An equal sign ("=") links twο expressiοns tοgether tο fοrm an equatiοn. The twο expressiοns οn either side οf the equals sign are referred tο as the "left-hand side" and "right-hand side" οf the equatiοn. The right side οf an equatiοn is typically assumed tο be zerο. As we can balance this by deducting the expressiοn οn the right frοm the expressiοns οn bοth sides, this wοn't reduce the generality. A statement is nοt an equatiοn if it has nο "equal tο" sign. That will be regarded as a phrase.

The cοst οf οne 8-inch cοοkie = $3

The delivery fee = $5

Amοunt οf mοney Zach has = $14

Nοw, the delivery charge amοunt is cοnstant.

If x is the number οf cοοkies bοught and y is the tοtal amοunt, then we can write an equatiοn as fοllοws:

y = 3x + 5

In Zach's case,

y = $14

We have tο find x.

14 = 3x + 5

9 = 3x

x = 3

Therefοre using the equatiοn, y = 3x + 5, we fοund that the number οf cοοkies Zach can buy using $14 is 3.

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7) What does a multiplier of \( 1.2 \) mean?

Answers

A multiplier of 1.2 means the value is multiplied or increased by a factor of 1.2.

A multiplier is a term used to represent a factor by which a value is multiplied or increased. It is a numeric value that indicates the extent of the increase or expansion of a given quantity. Multiplication by a multiplier results in scaling or changing the magnitude of the original value.

A multiplier of 1.2 indicates that a value will be increased by 20% or multiplied by a factor of 1.2. This means that when the multiplier is applied to the original value, the resulting value will be 1.2 times the original.

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A bakery sells 6 bagels for $2.99. What is the cost, in dollars, for 48 bagels?
A. $10.76
B. $13.16
C. $23.92
D. $37.08

Answers

Answer: $23.92

Step-by-step explanation:

First, we know that 6 bagels is $2.99.

48/6=8

This means that 6 is a multiple of 48, which makes it easier to solve.

$2.99 x 8 = 23.92

= $23.92

to solve this we can set up fractions of total cost over bagels and then cross multiply
6 bagels for 2.99: 2.99/6
48 bagels for x cost: x/48

2.99/6 and x/48
2.99(48)=143.52
6(x)=6x

6x=143.52
/6 /6
x=23.92

The total cost is C: $23.92.

I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!
hurryy

I need this done today whoever gets this correct gets brainliest!!! PLZZ HELPP MEE!!!hurryy

Answers

Answer:

1) true

2) false

3) true

4)false

Step-by-step explanation:

It's a number cube with 1-6

Martín compra en la papelería una cuadernola y un block de hojas. Gastó en total $270. Se sabe además que el block de hojas sale 120 más que la cuadernola. Pregunta 4 Si "x" representa el precio de la cuadernola, ¿cómo expresarías el precio del block de hojas? El precio del block de hojas lo expresaría como

Answers

Answer:

El precio de las hojas lo expresaría como:

y= x+120, donde

x=precio de la cuadernola

y= precio del block de hojas

Step-by-step explanation:

De acuerdo a la información del enunciado, sabes que la suma del precio de una cuadernola y un block de hojas es igual a $270, lo cual puedes expresar de la siguiente forma:

x+y=270

x=precio de la cuadernola

y= precio del block de hojas

Además, en el enunciado se indica que block de hojas sale 120 más que la cuadernola lo que significa que el precio del block de hojas es igual al precio de la cuadernola más 120, lo que puedes indicar de la siguiente forma:

y= x+120

Esta ecuación la puedes reemplazar en la primera para encontrar los precios:

x+(x+120)=270

x+x=270-120

2x= 150

x=150/2

x= 75

Después puedes reemplazar el valor de x para encontrar y:

y= 75+120

y= 195

Write a variable expression that represents the following word phrase: three more than two times the difference of x and one. Please help​

Answers

Answer:

2(x-1)+3

Step-by-step explanation:

Lets solve it

\(\\ \rm\Rrightarrow 2(x-1)+3\)

\(\\ \rm\Rrightarrow 2x-2+3\)

\(\\ \rm\Rrightarrow 2x+1\)

Answer:

\(3 \: more \: than \: means \: add \: 3 \\ then \: 2(x - 1) + 3 \\ = 2x - 2 + 3 \\ =2x + 1 \\ thank \: you\)

Select all the ordered pairs that are solutions to the system.

Select all the ordered pairs that are solutions to the system.

Answers

Answer:

WHAT DOES BRAINLEST MEAN???

Step-by-step explanation:

simplyfy 12(2+7+1 please some one help io

Answers

Answer:

120

Step-by-step explanation:

I’m assuming you ment 12(2+7+1)

soooo

2+7=9

9+1=10

so here’s it is now

12(10)

when there’s 2 numbers like that you multiply

so 12 x 10 = 120

and there’s your answer

two step equation
The sum of three consecutive even numbers is one hundred forty - four. What is the smallest of the three numbers?

Answers

I don’t really know.

PLEASE PLEASE I BEG YOU FOR HELP

PLEASE PLEASE I BEG YOU FOR HELP

Answers

Answer:

False

Ab is not perpendicular bisector to bc

please help quickly. thanks in advance​

please help quickly. thanks in advance

Answers

Answer:

a. sin 30* = sin 150*

b. sin 1* = sin 179*

a. cos 340* = cos 20*

b. cos 260* = cos 100*

Step-by-step explanation:

sine is symmetrical around x = 90*

cosine is symmetrical around x = 180*

* means degree sign of course.

Suppose that a Normal model described student scores in a history class. Parker has a standardized score (z-score) of +2.5. This means that Parker
A. is 2.5 points above average for the class.
B. none of these
C. is 2.5 standard deviations above average for the class.
D. has a score that is 2.5 times the average for the class.
E. has a standard deviation of 2.5.

Answers

Parker's standardized score (z-score) of +2.5 means that he is 2.5 standard deviations above the average score for the class. C

Normal distribution, the mean (average) is represented by the letter μ and the standard deviation by σ.

The z-score is a measure of how many standard deviations a data point is away from the mean.

A positive z-score indicates that the data point is above the mean, while a negative z-score indicates that it is below the mean.
Parker's z-score of +2.5 tells us that his score is 2.5 standard deviations above the class average.

We don't know the exact values of μ and σ, but we can use the properties of the Normal distribution to make some general statements about Parker's score.
99% of the data in a Normal distribution falls within 3 standard deviations of the mean.

Since Parker's z-score is 2.5, we can estimate that his score is higher than about 99% of the scores in the class.

Parker is performing very well in the history class compared to his peers.
z-score is a standardized measure, which means that it can be used to compare scores from different distributions.

If we wanted to compare Parker's score to the scores of students in another class, we could convert both sets of scores to z-scores and compare them directly.
Parker's z-score of +2.5 means that he is performing exceptionally well in the history class, with a score that is 2.5 standard deviations above the class average.

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I NEED HELP ASAP 40 POINTS




Answer the following questions.
1) Choose the correct name for the set of numbers.
{..., – 3, -2, - 1,0, 1, 2, 3, ...}
whole numbers
integers
rational numbers
natural numbers
real numbers
irrational numbers

Answers

Answer:

integers

they include all whole numbers and their negative counterpart

Answer:

Step-by-step explanation:

the correct name for the set of numbers is integers numbers.

Second chance! Review your workings and see if you can correct your mistake.
Susan is trying to find angle b.
She finds angle a first and then she finds angle b from angle a.
a) Which angle fact does she use to find angle a?
b) Which angle fact does she then use to find angle b?
b
139°
a

Second chance! Review your workings and see if you can correct your mistake.Susan is trying to find angle

Answers

Angles a and 139 are corresponding angles thus a = 139°

Angles a and b are supplementary hence b = 41°

What are angles?

When a transversal connects two parallel lines, it creates corresponding angles, which are two angles in a pair. A transversal produces a total of eight angles when it crosses two parallel lines. Pairs of these angles that are at the same relative position at each intersection are said to be corresponding angles.

Angles that correspond to one another have the same measure and are therefore congruent. The characteristics of parallel lines and the angles that the transversal forms lead to this congruence.

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Final answer:

Susan most likely used angle facts related to the sum of angles in a triangle to calculate angle a and then used triangle angle-sum property to find angle b.

Explanation:

To answer your questions:

Susan likely used angles facts related to the sum of angles in a triangle to find the calculation of angle a. This principle states that the sum of all angles in a triangle is always equal to 180 degrees.

For angle b, she then used triangle angle-sum property, which states that the measure of an angle of a triangle is equal to the sum of the measures of the other two angles subtracted from 180 degrees.

For instance, if angle a was 41 degrees, and the third angle was known to be 100 degrees, she would subtract these two angles from 180, resulting in angle b being 39 degrees.

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brainliest, 100 points, and multiple choice!! i appreciate it thanks so much!!

brainliest, 100 points, and multiple choice!! i appreciate it thanks so much!!

Answers

The answer is the 4th option:

No because RS and LM are not corresponding sides.

You can see that the shapes are “similar” and that the tick marks designate corresponding sides. The tick marks are different between RS and LM, showing that they do not correspond.

The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the

Answers

Answer:

The second number in an ordered pie of numbers that corresponds to a point on a coordinate system is the y-value.

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