Write the slope intercept form of the equation of each line.

1) The line through the point (4,2) and parallel to y+ -3/4x-5

Answers

Answer 1

Answer:

[tex]y = -\frac{3}{4}x + 5[/tex]

Step-by-step explanation:

Given equation  y = -3/4x  - 5

Step 1 : Find slope.

           Since the lines are parallel to each other, the slopes are same.

          [tex]therefore, m = \frac{-3}{4}[/tex]

Step 2 : Find the equation of the line.

           [tex]( y - y_1) = m ( x - x_ 1) \ \ \ where \ x_ 1 = 4 \ and \ y_ 1 = 2[/tex]

            [tex]( y - 2 ) = -\frac{3}{4}( x - 4)\\\\y - 2 = -\frac{3}{4}x + 3\\\\y = -\frac{3}{4}x + 3 + 2\\\\y = -\frac{3}{4}x + 5[/tex]


Related Questions

I NEED HELP PLEASE AND THANK YOU!!! ASAP

Answers

Answer:

71

Step-by-step explanation:

Initial angle lies in 4th quadrant

Answer: 71 Initial line sets in 4th Quadrant

what's the standard answer for (5×1)+(7×.2)+(2×0.4) ​

Answers

9514 1404 393

Answer:

  7.2

Step-by-step explanation:

The order of operations tells you that quantities in parentheses are evaluated first.

  (5×1)+(7×.2)+(2×0.4) ​= 5 + 1.4 + 0.8

Then the addition is performed, left to right.

  = 6.4 +0.8

  = 7.2

_____

Your calculator can work this problem for you, if necessary.

Write an equation that represents the line.
Use exact numbers.

Answers

Answer: y=2/3X- 4/3

Step-by-step explanation:

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

Y-2=2/3(x-1)

Y-2=2/3x-2/3

Y=2/3X-2/3+2

Y=2/3X-4/3

Solve the formula for the indicated variable.
1
A=-bh, for h
2
- BA

Answers

Answer:

perdón yo no hablo inglés

A television and DVD player cost a total of $1230. The cost of the television is two times the cost of the DVD player. Find the cost of each item

Answers

Answer:

Television = 820

DVD Player = 410

Step-by-step explanation: Imagine the television  as 2, and the DVD player as 1. If you’re were to draw it out with boxes, you’d see that the tv  has two boxes and the DVD player has 1 box. All are exactly the same amount, and there are a total of three boxes. So divided 1230 by 3 and you get 410. Using the idea of the boxes, the DVD player get’s one 410, and the tv gets two 410s, or 820.

What is the volume of a cone with a radius of 4 inches and height of 11?

Answers

Answer:

184.22

Step-by-step explanation:

A bag contains 35 marbles, 11 of which are red. A marble is randomly selected from the bag, and it is blue. This blue marble is NOT placed back in the bag. A second marble is randomly drawn from the bag. Find the probability that this second marble is NOT red.

Answers

Answer:

11 red + 24 blue = 35 marbles

If 1 blue is withdrawn

11 red + 23 blue = 34 marbles

P = 23 / 34 = .38   probability of drawing blue marble

Which of the following describes a positive correlation?

As the number of hours spent on homework increases, the tests scores increase.

As the number of apples eaten per year increases, the number of times visiting the doctor every year remains the same.

As the number of times going to bed early increases, the number of times waking up late decreases.

The amount of time a team spent practicing increases, the number of games lost in a season decreases.
THIS IS A MULTIPLE CHOICE QUESTION

Answers

Answer:

First Choice: As the number of hours spent on homework increases, the tests scores increase.

Step-by-step explanation:

The definition of a positive correlation  is a relationship between two given variables, in which both variables are moving in the same direction. This can mean when one variable increases and the other variable increases, too, or one variable decreases and the other decreases as well.

The first choice is a positive correlation because both variables are changing (increasing) in the same direction. As you spend more time on homework, you're likely to get a higher test score.

The second choice cannot be a positive correlation because only one variable is having some kind of change (increasing). The doctor visits amount remains the same, so we can call this a zero-correlation relationship because the number of apples eaten yearly doesn't affect the amount of doctor visits. An apple a day keeps the doctor a way is just a proverb, not to be taken literally.

The third choice cannot be a positive correlation because the two variables are going different directions. Even though the number of times going to bed early is increasing, the number of times waking up late decreases, which is not moving in the same direction as the other variable.

The fourth choice cannot be a positive correlation because, similarly to the third choice, the two variables are going different directions. One variable is increasing, which is the amount of practice time. Meanwhile, the other variable is decreasing (going in the opposite direction), which is the number of games lost in a season.

From a club of 18 people, in how many ways can a group of five members be selected to attend a conference?

Answers

Selection here means you’ll use combination and not permutation.
Total number of members=18
Numbers to be selected=5
Therefore=18C5=n!/(n-r)!r!
=18!/(18-5)!5!
=18!/13!5!
=18x17x16x15x14x13!/13!x5x4x3x2x1
The 13 factorials will cancel out which will give
= 18x17x16x15x14\ 5x4x3x2x1
=1,028,160/120
=8,568ways.

Solve one and two tenths plus eight and one eighteenth

Answers

47

Is this it?

1 plus 2(10) plus 8 plus 1(18)

Let a=⟨1,−4,2⟩ and b=⟨−5,−5,−2⟩. Compute:

a+b=⟨ ,, ⟩
a−b=⟨ ,,⟩
2a=⟨ ,,⟩
3a+4b=⟨ ,, ⟩
|a|=

Answers

Answer:

a + b = ⟨-4, -9, 0⟩

a - b = ⟨6, 1, 4⟩

2a = ⟨2, -8, 4⟩

3a + 4b = ⟨-17, -32, -2⟩

|a| = √21

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Pre-Calculus

Vectors

OperationsScalars[Magnitude] ||v|| = √(x² + y² + z²)

Step-by-step explanation:

Adding and subtracting vectors are follow the similar pattern of normal order of operations:

a + b = ⟨1 - 5, -4 - 5, 2 - 2⟩ = ⟨-4, -9, 0⟩

a - b = ⟨1 + 5, -4 + 5, 2 + 2⟩ = ⟨6, 1, 4⟩

Scalar multiplication multiplies each component:

2a = ⟨2(1), 2(-4), 2(2)⟩ = ⟨2, -8, 4⟩

Remember to multiply in the scalar before doing basic operations:

3a + 4b = ⟨3(1), 3(-4), 3(2)⟩ + ⟨4(-5), 4(-5), 4(-2)⟩ = ⟨3, -12, 6⟩ + ⟨-20, -20, -8⟩ = ⟨-17, -32, -2⟩

Absolute values surrounding a vector signifies magnitude of a vector. Follow the formula:

|a| = √[1² + (-4)² + 2²] = √21

I am struggling and I would be so happy if any of you helped me. Can someone help me with the last two red boxes please? The rest of the question is for reference to help solve the problem. Thank you for your time!

Answers

Answer:

I think you can go with:

The margin of error is equal to half the width of the entire confidence interval.

so  try .74 ±   =   [ .724 , .756] as the confidence interval

Step-by-step explanation:

What is the probability that z equals 1.5

Answers

Answer:

0.1

Step-by-step explanation:

The probability value corresponding to z = 1.5 is 0.9332.

What is probability?

Probability is a number that expresses the likelihood or chance that a specific event will take place. Both proportions ranging from 0 to 1 and percentages ranging from 0% to 100% can be used to describe probabilities.

The standard normal curve is a special case of a normal curve with a mean of 0 and a standard deviation of 1. Since it is symmetric around the mean, 50% of the observations lie under the mean while the other 50% of the observations lie above the mean.

Thus the probability value corresponding to z = 1.5 is 0.9332.

Since the total probability value under the curve is 1, we subtract 0.9332 from 1 to calculate the area to the right.

P(Z>1.5)

=P(Z≤1.5)

=1−0.9332

=0.0668

Learn more about probability here:

https://brainly.com/question/30034780

#SPJ3

The mother was fed 21 fish, how many fish was the cub fed?

Answers

10 fish were eaten by the cub

Find the area of the shaded part ! ​

Answers

Answer:

Step-by-step explanation:

Semicircle:

Shaded area of semicircle = area of outer semicircle - area of inner semicircle

Outer semicircle:

d = 40 m  r = 40/2 = 20m

Area of outer semicircle = πr²

                                        = 3.14*20*20

                                        =    1256 m²

Inner semicircle:

d = 30 m  r = 30/2 = 15 m

Area of outer semicircle = πr²

                                        = 3.14*15*15

                                        =  706.5 m²

Shaded area of semicircle = 1256 - 706.5 = 549.5 m²

Shaded area of semicircle in both sides = 2 * 549.5 = 1099 m²

Rectangle on both sides:

Length = 50 m

width = 30 m

Area of shaded rectangles on both sides = 2* (length *width)

                                                                      = 2* 50 * 30

                                                                       = 3000 m²

Shaded area = 1099 + 3000 = 4099 m²

Instructions: Determine whether the following polygons are
similar. If yes, type in the similarity statement and scale factor. If
no, type 'None' in the blanks.

Answers

Answer:

None

Step-by-step explanation:

The given angles aren't equal which is needed for the polygon to be similar

No, the following polygons are not similar.

Used the concept of a similar figure that states,

In terms of Maths, when two figures have the same shape but their sizes are different, then such figures are called similar figures.

Given that,

Two polygons EFGH and JKLM are shown in the image.

Now the corresponding sides of both figures are,

EF = 27

JK = 63

And, EH  = 27

JM = 63

Hence, the ratio of corresponding sides is,

EF/JK = 27/63

= 9/21

= 3/7

EH/JM = 27/63

= 3/7

So their corresponding sides are equal in ratio.

But their corresponding angles are not the same.

To learn more about the angle visit:;

https://brainly.com/question/25716982

#SPJ4

Consider the probability that at most 85 out of 136 DVDs will work correctly. Assume the probability that a given DVD will work correctly is 52%. Specify whether the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

Answers

Answer:

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the necessary conditions are satisfied.

0.9945 = 99.45% probability that at most 85 out of 136 DVDs will work correctly.

Step-by-step explanation:

Test if the normal curve can be used as an approximation to the binomial probability by verifying the necessary conditions.

It is needed that:

[tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex]

Binomial probability distribution

Probability of exactly x successes on n repeated trials, with p probability.

Can be approximated to a normal distribution, using the expected value and the standard deviation.

The expected value of the binomial distribution is:

[tex]E(X) = np[/tex]

The standard deviation of the binomial distribution is:

[tex]\sqrt{V(X)} = \sqrt{np(1-p)}[/tex]

Normal probability distribution

Problems of normally distributed distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

When we are approximating a binomial distribution to a normal one, we have that [tex]\mu = E(X)[/tex], [tex]\sigma = \sqrt{V(X)}[/tex].

Assume the probability that a given DVD will work correctly is 52%.

This means that [tex]p = 0.52[/tex]

136 DVDs

This means that [tex]n = 136[/tex]

Test the conditions:

[tex]np = 136*0.52 = 70.72 \geq 10[/tex]

[tex]n(1-p) = 136*0.48 = 65.28 \geq 10[/tex]

Since both [tex]np \geq 10[/tex] and [tex]n(1-p) \geq 10[/tex], the necessary conditions are satisfied.

Mean and standard deviation:

[tex]\mu = E(X) = np = 136*0.52 = 70.72[/tex]

[tex]\sigma = \sqrt{V(X)} = \sqrt{np(1-p)} = \sqrt{136*0.52*0.48} = 5.83[/tex]

Consider the probability that at most 85 out of 136 DVDs will work correctly.

Using continuity correction, this is [tex]P(X \leq 85 + 0.5) = P(X \leq 85.5)[/tex], which is the p-value of Z when X = 85.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{85.5 - 70.72}{5.83}[/tex]

[tex]Z = 2.54[/tex]

[tex]Z = 2.54[/tex] has a p-value of 0.9945.

0.9945 = 99.45% probability that at most 85 out of 136 DVDs will work correctly.

Please answer in detail

Answers

Answer:

y=5x-1 I think because the snd option doesn't make sense but you should try y =5x-1

According to Runzheimer International, a typical business traveler spends an average of $281 per day in Chicago. This cost includes hotel, meals, car rental, and incidentals. A survey of 50 randomly selected business travelers who have been to Chicago on business recently is taken. For the population mean of $281 per day, what is the probability of getting a sample average of more than $268 per day if the population standard deviation is $47?

Answers

Answer:

The correct answer is - 97.74%.

Step-by-step explanation:

Given:

sample mean = 281

Std Dev = 47 ==> Sample

Std Dev (s) = std dev/sqrt(n) = 6.0677

Solution:

Find : P( x > 268 )

z = ( x - u )/s = ( 268 - 281 )/6.0677

= -1.9558

then, P( x > 270) = P( Z > -1.9558)

= P( Z <1.9558)

= 0.9747

change into percentage:

= 97.471%

a special window in the shape of a rectangle with semicircles at each end is to be constructed so that the outside perimeter is 100 feet. find the dimensions of the rectangle tha tmaximizes the total area of the window

Answers

Answer:

The dimensions of the rectangle are length 25 feet and width 15.92 feet

Step-by-step explanation:

Let L be the length of the rectangle and w be the width.

The area of the rectangular part of the shape is Lw while the area of the two semi-circular ends which have a diameter which equals the width of the rectangle is 2 × πw²/8 = πw²/4. The area of each semi-circle is πw²/4 ÷ 2 = πw²/8

So, the area of the shape A = Lw + πw²/4.

The perimeter of the shape, P equals the length of the semi-circular sides plus twice its length. The length of a semi-circular side is πw/2. So, both sides is 2 × πw/2 = πw

P = πw + 2L

Since the perimeter, P = 100 feet, we have

πw + 2L = 100

From this L = (100 - πw)/2

Substituting L into A, we have

A = Lw + πw²/4.

A = [(100 - πw)/2]w + πw²/4.

A = 50w - πw²/2 + πw²/4.

A = 50w - πw²/2

Now differentiating A with respect to w and equating it to zero to find the value of w which maximizes A.

So

dA/dw = d[50w - πw²/2]/dw

dA/dw = 50 - πw

50 - πw = 0

πw = 50

w = 50/π = 15.92 feet

differentiating A twice to get d²A/dw² =  - π indicating that w = 50/π is a value at which A is maximum since d²A/dw² < 0.

So, substituting w = 50/π into L, we have

L = (100 - πw)/2

L = 50 - π(50/π)/2

L = 50 - 50/2

L = 50 - 25

L = 25 feet

So, the dimensions of the rectangle are length 25 feet and width 15.92 feet

Find the range for the following data 14, 16, 16, 14, 22, 13, 15, 24, 12, 23, 14, 20, 17, 21, 22, 18, 18, 19, 20, 17, 16, 15, 11, 12, 21, 20, 17, 18, 19, 23

Answers

Answer:

12

Step-by-step explanation:

Range is the subtraction of the largest number and the smallest number.

The largest number is: 23

The smallest number is: 11

Now subtract:

23 - 11 = 12

Hope this helped.

Answer:

the lowest is 11 and the highest is 24 then subtract it you are going to have 13

When is the Declaration of Independence?

Answers

Answer:

July 4th, 1776.

Step-by-step explanation:

By issuing the Declaration of Independence, adopted by the Continental Congress on July 4, 1776, the 13 American colonies severed their political connections to Great Britain. The Declaration summarized the colonists' motivations for seeking independence.

It was signed August 12, 1776.

(d) 320 If the measurement of two angles of a triangle are 72º and 70%, find third ange in degrees. If the measurement of two angles of a triangle are 630 and 100​

Answers

Sorry don’t know the answer

4 pounds of oranges costs $ 12 . What is the unit price per pound?

Answers

3 dollars per pound....

Answer:

3 dollars per pound

Step-by-step explanation:

Unit Price = Cost / Pounds of oranges

Unit Price = 12 / 4

Unit Price = 3

The unit price per pound is $3

If a, b, c are in A.P. show that
a (b + c)/bc,b(c + a) /ca, c(a-b )/bc
are in A.P.

Answers

Answer:

Step-by-step explanation:

[tex]\frac{a(b+c)}{bc} ,\frac{b(c+a)}{ca} ,\frac{c(a+b)}{ab} ~are~in~A.P.\\if~\frac{ab+ca}{bc} ,\frac{bc+ab}{ca} ,\frac{ca+bc}{ab} ~are~in~A.P.\\add~1~to~each~term\\if~\frac{ab+ca}{bc} +1,\frac{bc+ab}{ca} +1,\frac{ca+bc}{ab} +1~are~in~A.P.\\if~\frac{ab+ca+bc}{bc} ,\frac{bc+ab+ca}{ca} ,\frac{ca+bc+ab\\}{ab} ~are~in~A.P.\\\\divide~each~by~ab+bc+ca\\if~\frac{1}{bc} ,\frac{1}{ca} ,\frac{1}{ab} ~are ~in~A.P.\\if~\frac{a}{abc} ,\frac{b}{abc} ,\frac{c}{abc} ~are~in~A.P.\\if~a,b,c~are~in~A.P.\\which~is~true.[/tex]

The Susan B. Anthony dollar has a radius of 0.52 inches. Find the area of one side of the coin to the nearest
hundredth.

Answers

the area is 1.70 inches

Answer:

0.85 in²

Step-by-step explanation:

really ? you need help with that ? you could not find the formula for the area of a circle on the internet and type it into your calculator ? I can't do anything else here.

a circle area is

A = pi×r²

r being the radius.

and pi being, well, pi (3.1415....)

r = 0.52 in

so,

A = pi×0.52² = pi×0.2704 = 0.849486654... in²

the area of one side of the coin is 0.85 in²

You are playing a game by drawing a card from a standard deck and replacing it. If the card is a face card, you win $30. If it is not a face card, you pay $2. There are 12 face cards in a deck of 52 cards. What is the expected value of playing the game

Answers

92 cardsㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

ㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤㅤ

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help i need help with math help if u can

Answers

Answer:

6x2 + 6y + 12

if x¹=xcosA+ysinA and y¹=xsinA-ycosA, show that (x¹)²+(y¹)²=x²+y²​

Answers

Expanding each square on the left side, you have

(x cos(A) + y sin(A))² = x² cos²(A) + 2xy cos(A) sin(A) + y² sin²(A)

(x sin(A) - y cos(A))² = x² sin²(A) - 2xy sin(A) cos(A) + y² cos²(A)

so that adding them together eliminates the identical middle terms and reduces to the sum to

x² cos²(A) + y² sin²(A) + x² sin²(A) + y² cos²(A)

Collecting terms to factorize gives us

(y² + x²) sin²(A) + (x² + y²) cos²(A)

(x² + y²) (sin²(A) + cos²(A))

and sin²(A) + cos²(A) = 1 for any A, so we end up with

x² + y²

as required.

The three sides of a triangle are n, 3n+3, and 3n−1. If the perimeter of the triangle is 72m, what is the length of each side?

Answers

Answer: 10m, 33m, and 29m

Step-by-step explanation:

n + 3n+3 + 3n-1 = 72m

7n+2=72m

7n = 72-2

n = 70/7

n = 10

Other Questions
Segment addition and midpoints Imagine you found S. aureus to be resistant to Penicillin by Kirby Bauer analysis, but susceptible to Penicillin treatment in liquid culture (in other words, a MIC was determined). Which of the following are possible explanations for this inconsistency?a. The concentration of Penicillin was higher in the Penicillin antibiotic disk than that used in liquid culture treatment. b. The Penicillin disks used for Kirby Bauer analysis were expired/no longer active. c. The concentration of bacteria was lower on the Mueller Hinton plate for Kirby Bauer analysis than that used in liquid culture treatment Michael is cutting logs. He has 3 logs. Michael will cut each log by. Determine thenumber pieces of wood that Michael will have. 1. An experiment has a sample space of the following equally likely outcomes.S = {0, 2, 5, 8, 9, 11}Find the probability of each of the following events.a. E = {2}b. E = {0,5}c. E = {13}d. E = {0, 2, 5, 8, 9, 11}e. E = {8, 9, 11} Why do some researchers prefer to use embryonic stem cell in medical research?A. There is no controversy surrounding the use of embryonic stem callsB. The use of embryonic stem cell is much less expensive than the use of adult stem cellsC. No living tissue is damaged when scientists use embryonic stem cellsD. Embryonic stem cells are able to differentiate into a wider range of call than adult stem cells Explain how to combine the terms 5x an 3x A phase change from a solid to a gas is called: How did the Balfour Declaration contribute to tension between Jews and Arabs?It created the state of Israel.It supported the establishment of a Jewish homeland in Palestine.It created unlimited Zionist movements throughout the Middle East.It assimilated Jews into Arab culture. The answer is it supported the establishment of the Jewish homeland in Palestine!!! Each of Professor A and Professor B at UTD has a private secretary, who can type four letters per hour. The letters are generated at a rate of three per hour by each of the two professors, who have been wondering if they would benefit from pooling the two secretaries. Perform a queuing analysis. What is the average waiting time of a letter in the system. A graph of gas pressure versus the number of particles in a container is a straight line. Which other relationship will have a similar graph? What is the role identification of work performance and incentive forthe workmen to attain institutional goal? The volume of a rectangular prism with a cone shaped hole in it is approximately 163.22cm (as shown below). What is the height of the cone? May someone help with this one problem? In how many years will the population of a town be 26901 from 24400 at the growth rate of 5% per annum ? PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!Which ratio is not equivalent to the others?A. 1:3B. 36C. 7 to 14D. 816 What's the traditional order for writing an essay? A study was done to determine the average number of homes that a homeowner owns in his or her lifetime. For the 50 homeowners surveyed, the sample average was 5.1 and the sample standard deviation was 3.8. Calculate the 95% confidence interval for the true average number of homes that a person owns in his or her lifetime. Mr. Jacobs is going to make a histogram of the test scores from the last math test he gave. He plans to first organize the data into a stem-and-leaf plot and then make the histogram from the stem-and-leaf plot. The test scores are listed below.79, 82, 65, 61, 94, 97, 84, 77, 89, 91, 90, 83, 99, 71, 68, 77, 87, 85How many bars will his histogram have?3456 On June 30, 2021, Moran Corporation issued $9.0 million of its 8% bonds for $8.1 million. The bonds were priced to yield 10%. The bonds are dated June 30, 2021. Interest is payable semiannually on December 31 and July 1. If the effective interest method is used, by how much should the bond discount be reduced for the six months ended December 31, 202 Bethanys friendship with Raquel has always been one of mutual enjoyment, but recently, Raquel has been needing a lot of help with rides to various places. Bethany is thinking that maybe her relationship with Raquel is costing her more than what she is getting out of it. This is an example of the ________ theory.