Find the equation of the line through the point (1, 16) that is parallel
to the given line. Write your final answer in slope-intercept form.
2y – 14x = 12

Answers

Answer 1
I think slope intercept form is y = mx + b. So first write the original line like this:

2y = 14x + 12 (add 14x to both sides)
y = 7x + 6 (divide all by 2 so we just have y and not 2y)

Parallel means it has the same slope but different intercept. So we need to know which intercept allows us to have a slope of 7 but go through the point (1, 16).

y = 7x + b
16 = 7(1) + b (substitute x & y)
16 = 7 + b (simplify)
9 = b (subtract 7 on both sides)

So the intercept is 9. So the equation of the parallel line would be y = 7x + 9.

And that answer is parallel to the original line y = 7x + 6; the whole line is shifted upwards by 3 units.

Related Questions

Your employer offers a retirement plan which pays 8.5% compounded monthly. If
you deposit $420 / month for 47 years into this retirement plan, how much money
will you have in this account 47 years from now?

Answers

Answer:$19,740

Step-by-step explanation:

Hope its right.

1. How many total students were surveyed?

2. Which of the following statements is NOT correct?
A. The median is likely to fall in the 5 – 9 interval.
B. More students read between 0 – 9 books than 10 - 24 books
C. The mode is 24 books.
D. The range of books read could be 24.

Answers

Answer:

A if I'm not incorrect. Sorry if I am incorrect I'm bad at math.

I need help if correct I will mark you

Answers

Step-by-step explanation:

option 1: 15+15+15=45

option 2: 50 usd

you tell me which is better

A merry go around has a radius of 18 ft. If a passenger gets on a horse located at the edge of the wheel and travels 38ft, find the angle of rotation to the nearest degree

Answers

Answer:

121 degrees

Step-by-step explanation:

Given

Radius r = 18ft

Length of the arc = 38ft

Required

angle of rotation

Using the formula

Length of an arc = theta/360 * 2πr

Substitute the given data

38 = theta/360 * 2π(18)

38 = theta/360 * 113.04

theta/360 = 38/113.04

theta/360 = 0.33616

theta = 0.33616 * 360

theta = 121.02

Hence the angle of rotation to the nearest degree is 121 degrees

Find the size of the final unknown exterior angle in a polygon whose other exterior angles are:

57°, 68°, 32°, 59° and 72°.

Answers

Answer:

=72

Step-by-step explanation:

57+68+32+59+72=288

360-288=72

Help please!! | No links!!
What is the measurement of the angle below?

Answers

Answer:

210 degrees

Step-by-step explanation:

The line is pointing at 210 degrees. You just have to turn the picture.

Use the diagram to complete the statement!
Due in 10 min! Please help!
Will give brainliest!

Answers

Answer:

m>NQR=30°

m<LNS=61°

RQ=7

Step-by-step explanation:

m>NQR=180-89-61=30°

m<LNS=61°

RQ= 8/4=x/3.5 = 7

the ratio of boy to girls in a school 1s 5:7. if there are 780 students in the school, how many boys are in the school?

Answers

Answer:

325 boys

Step-by-step explanation:

The ratio 5:7 represents 5+7=12 students. If we were to proportionalize this ratio to 780 students, we would multiply the ratio by 65/65 since 780/12=65.

Therefore, you have (5*65)/(7*65)=325/455 as your ratio. This means that there are 325 boys in the school

A philanthropic organization helped a town in Africa dig several wells to gain access to clean water. Before the wells were in place, an average of 120 infants contracted typhoid each month. After the wells were installed, the philanthropic organization surveyed for nine months and found an average of 90 infants contracted typhoid per month. Assume that the population standard deviation is 40 and the number of infants that contract typhoid is normally distributed. Specify the null and alternative hypotheses to determine whether the average number of infants that contract typhoid has decreased because the wells were put in place.

Answers

Answer:

H0 : μ = 120

H1 : μ < 120

We Can conclude that the number of infants that contract typhoid has reduced because the wells were put in place.

Step-by-step explanation:

Average Number of infants who contracted typhoid monthly = 120

Average Number of infants who contracted typhoid monthly after well installation = 90

The null and alternative hypothesis :

H0 : μ = 120

H1 : μ < 120

Obtain the test statistic :

(Xbar - μ) ÷ s/sqrt(n)

(90 - 120) ÷ 40/sqrt(9)

-30 ÷ 13.3333

= - 2.25

The Pvalue at 95% confidence, df = n-1 = 9 - 1 = 8

Tcritical at 95%, df = 8 ; one tailed = 0.02728

Decision region :

Pvalue < α ; Reject H0

0.02728 < 0.05 ; Hence, we conclude that there is significant evidence that the average number of infants that contract typhoid has decreased because the wells were put in place.

helpppppppppppp meee

Answers

Answer:

-8

Step-by-step explanation:

Plz give brainliest

i dont have any

-8 is the correct answer!-1 - 7is the same as-1 + -7

1. Name an example of a real-world data set, not yet mentioned in the course, where you would typically expect to see a normal distribution. Be sure to describe what the labels would be for the horizontal and vertical axis of the display. Then explain why you would expect a normal distribution. What range of data values would you expect to represent 1 standard deviation from the mean? (15 points; 10 for your answer, 5 for response to others' comments.)​

Answers

Answer:

1.The heights of students in a class, for example, would have a normal distribution. We expect a few students to be extremely tall and a few to be extremely short, but the majority will be in the middle. On the x-axis, we'll have heights, and on the y-axis, we'll have the frequency of the number of students with heights. According to the empirical rule, 68 percent of the data could fall within one standard deviation of the mean.

Plz help this is due today i would have done it myself but i totally forgot about these so PLZ HELP AND NO LINKS AND NO GROSS PICTURES OR I REPORT.

Answers

The answer is C

A is a circle so no.

B has a curve so no.

D isn't connected so obviously no.

Can someone please give me the answer I will mark I brilliant

Answers

Answer:

294

Step-by-step explanation:

Area = length x width

Area of one square is 7 x 7 or 49

There are 6 squares so do 49 x 6 or 49 + 49 + 49 + 49 + 49 + 49 + 49

Answer is 294.

Answer: The surface area is 294 mm2.

Step-by-step explanation:

A= l*w

A= 7*7

A=49

49*6= 294

Genies is making cookies. She needs 1 2/3 cups of flour for one batch, but she wants to make 2 1/3 batches. Write an equation that can be used to find how many cups of flour genies will need

Answers

Equation:  (1 2/3)(2 1/3) = x

Answer:  3 8/9 cups

Step-by-step explanation:

x represents the amount of flour she will need in cups.

To solve, convert the mixed numbers to improper fractions and multiply...

1 2/3 becomes 5/3

2 1/3 becomes 7/3

Now we have

(5/3)(7/3) = x

  35/9 = x

35/9 is 3 8/9 as a mixed number

Rule 1: Add 7 starting from 0. Rule 2: Multiply by 2 starting from 8. Select the option that correctly shows the first 5 terms of each sequence.
Question 5 options:

First sequence: 0, 6, 12, 18, 24 and second sequence: 0, 8, 16, 32, 64

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 14, 28, 56, 112

First sequence: 14, 21, 28, 35, 42 and second sequence: 8, 16, 32, 64, 128

Answers

Answer:

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

Answer:

First sequence: 0, 7, 14, 21, 28 and second sequence: 8, 16, 32, 64, 128

Step-by-step explanation:

A lamp points toward the base of a doorway as shown below, what is the height, in feet, of the lamp

Answers

Answer: [tex]40\sqrt{3}[/tex]

Step-by-step explanation:

30-60-90 triangle- leg opposite 30 is x, leg opposite 60 is [tex]x\sqrt{3}[/tex] and the hyp. is 2x

we need to figure out X

we also know that the leg opposite 60 is = 120

[tex]120=x\sqrt{3}[/tex]

square everything

[tex]14400=3x^{2}\\4800=x^{2} \\\sqrt{4800} =x\\\sqrt{1600*3} =x\\40\sqrt{3} =x[/tex]

How -15 + 8 gives me 7 ????????

Answers

it doesn’t give you 7
it gives you -7
because when you add 8 to negative 15, you’re just basically subtracting it to give you -7

Answer:

It gives you -7

Step-by-step explanation:

Think of the problem as 8 - 15, because 8 is a smaller number and 15 is bigger, you'll get a negative number.

The next step is use the rule**a-b = -(b-a)**which is - (15 - 8)

Then when you simplify it, it will be - (15 - 8)= - 7**(which is the answer)

Hope this helps:)

-67.2-61.5−67.2−61.5

Answers

Answer:

-257.4

Step-by-step explanation:

-257.4 trust meh

Answer:

-257.4

mark as brainliest

QUESTION 5 of 10: Throughput is the number of units a machine or process can produce in a given time. Cycle time is the time to produce
one unit. If the cycle time of your machine is 35 seconds and it runs 24/7, what is the throughput for a year period?
O a) 901,029
Ob) 969,623
c) 1,180,336
d) 1,173,322

Answers

9514 1404 393

Answer:

  a) 901,029

Step-by-step explanation:

The production volume for 1 year is ...

  1 unit/(35 s) × (3600 s)/(1 h) × (24 h)/(1 day) × (365 day)/(1 year)

  = 3600×24×365/35 unit/year = 901,029 unit/year

Find the sum of these polynomials.
(4x2 + 3x - 1) + (x2 - 5x - 6) =

Answers

Answer:      5x2-2x-7

Step-by-step explanation:

(4x2 + 3x - 1) + (x2 - 5x - 6)

=4x2+3x-1+x2-5x-6

=5x2-2x-7

The length of a rectangular swimming pool is exactly three times as long
as its width. If the pool has a perimeter of 472m find the width of the pool

Answers

Answer:

59m

Step-by-step explanation:

Length= 3 × ( width)

But perimeter= 2width + 2 Lenght= 472

Let length= X

Width= Y

X= 3Y.........eqn(1)

2X + 2Y= 472........eqn(2)

Substitute X= 3Y in eqn(2)

2(3Y) + 2Y = 472

6Y + 2Y= 472

8Y= 472

Y= 59 m

Hence, the width of the pool is 59 m

Elyssa bought a rectangular aquarium. The measurements, in feet (ft), are shown below.
How much water will it take to fill the aquarium

Answers

34.65 all you needed to do was multiply all of them together to find the volume/area

What makes an equation false?

Answers

Answer:

When ever you can’t solve it it considered false like 4 - 12

Step-by-step explanation:

A false equation is an incorrect equation; it says something erroneous or untrue. For example, 2 = 3 is a false equation, because 2 and 3 are different numerical values. To make a true equation, check your math to make sure that the values on each side of the equals sign are the same.

find the length of x


help please i need it asap

Answers

Step-by-step explanation:

[tex] \frac{6}{4.5} = \frac{4}{x} \\x \times 6 = 4 \times 4.5 \\ x = \frac{4 \times 4.5}{6} \\ x = \frac{18}{6} \\ x = 3[/tex]

#CMIIW

7. Newton buys a board game for $9.99
and a pack of trading cards for $2.99.
He gives the cashier a $20 bill. How
much change does he receive?
AWNSER ASAPP

Answers

Answer: Hello, there!  Your Answer is Below^^

7.O2 Would be The Correct Answer.

Step-by-step explanation:

So I Subtracted 20 - 12.98 And Got the Answer $ 7.02

To Add Or subtract Decimals Here's what you can do to find your Answer

Line up the numbers vertically so that the decimal points all lie on a vertical line.  

Add extra zeros to the right of the number so that each number has the same number of digits to the right of the decimal place. Step 3: Subtract the numbers as you would whole numbers.

Hope this Helps!!

Have a great day!!!

help please , i need it asap ! ty

Answers

Answer:

7.5

Step-by-step explanation:

Answer:

Step-by-step explanation:

If the one side = 3 and the other side (4.5) is supposed to be the same all it is is 4.5/3 which is 1.5. 1.5 times 5 ( the bottom side) is 7.5! X=7.5

please help me I want to get a good grade so my mom can appreciate me :D!

Answers

Answer:

The unit rate is 1.5

Step-by-step explanation:

Given

[tex]Ratio = 4/7 : 8/21[/tex]

Required

Determine the unit rate

To do this, we need to express the ratio as:

[tex]Ratio = m : 1[/tex]

Where m is the unit rate

[tex]Ratio = 4/7 : 8/21[/tex]

Express as fraction

[tex]Ratio = \frac{4/7 }{ 8/21}[/tex]

Solve

[tex]Ratio = \frac{4}{7} * \frac{21}{8}[/tex]

[tex]Ratio = 1.5[/tex]

Express as ratio

[tex]Ratio = 1.5 : 1[/tex]

Hence, the unit rate is 1.5

Okay Ju|ian Foley simplifies this polynomial and then write it in standard form if Ju|ian wrote it the last term

Answers

Answer:

the second choice

Step-by-step explanation:

A square playground is covered with pebbles, except for two equal size triangular portions that have grass. How many square feet do the pebbles cover? 7ft 14ft

Answers

Answer:

The anser is 14 times 7 = 98ft

Step-by-step explanation:

Perimeter = 26 yards

Answers

Answer:

There isn’t a answer

Step-by-step explanation:

Where is the question? I’ll edit the message if there is something that needs to be solved otherwise this doesn’t make sense.

Other Questions
PLZZZZ HELP ME OUT GIVING OUT 100 POINTS PLZZZZZZZZZZZZZZZZZZZZZZZZZZZZThe diagram shows two parallel lines cut by a transversal. One angle measure is shown.Two lines that do not intersect. A third line intersects with both lines.Find the values of a, b, c, d, e, f, and g. Do not include any labels or degree symbols.a=b=c=d=e=f=g= Describe the use of carbohydrates and lipids for energystorage in animals. ACTIVITY 1: Research a Famous Chemist or Physicist 1) Do research on a famous chemist or physicist. Write a 300-500 word essay one of them. Use at least three different sources. Sources can include biographies, internet articles from universities, or journal articles. Wikipedia is not an acceptable source information.Be sure to answer these questions:* What did this scientist discover?* How was it discovered?* How does this discovery or invention impact the world today? characterization reveals information about a character and his or her personality through that character's thoughts, words, and actions.AmbiguousIndirectDirectAudible Question 1(Multiple Choice Worth 2 points)(05.05 MC)How does the human immune system initially respond to a pathogen? Determine whether each of the reactions given below would be spontaneous or not. Please justify your answer in each case.A. Fe2+ (aq) + Al (s) Al3+(aq) + Fe (s)B. Pb2+ (aq) + Sn (s) Sn2+ (aq) + Pb (s)C. Mg2+ (aq) + Ag (s) Ag+ (aq) + Mg (s) What kinds of education did Martin Luther king JR have in high school and college?Answer ASAP How can 33/9 be expressed as a decimal? Last quarter Rachel earned a grade of 92. This quarter she earned an 88. What is the percent decrease in her grade? help pls!Give some examples of taxation: So, do you think the experiences of Chinese immigrants we learned about in this video are similar or different to immigrant experience today? Why? hey i need help with question 3 i put 81.5% but ive been told its been wrong ? 1. How does Beowulf speak about his youth? What kinds of activities did heenjoy? Use evidence from the text to support your answer.2. What visual components does the author use to illustrate Beowulf'sheroism and might? Use evidence from the text to support your answer.3. The King says he has never "left the hall of great Danes for any man tokeep." What can you infer about his feelings toward his kingdom? Useevidence from the text to support your answer.4. Use context clues to determine the meaning of the word valorous as it isused in Beowulf. Write your definition of valorous here, along with thosewords or phrases from the text that helpedmost. Then check a dictionaryto confirm your understanding.5. What is the meaning of the word devour as it is used in the text? Writeyour best definition here, along with a brief explanation of how you arrivedat its meaning. 1.How does evolution explain the development of vision? 1. How long is a day on Venus?2. How is Venus similar to Earth?3. Describe Venus atmospheric composition. Suppose a scatter plot indicates that there is a positive linear association between two quantitative variables. Which of these statements MUSTbe correct about the line of best fit for the data in the scatter plot? 1.) Convert 27 milliweasels to weasels2.) Convert 27 milliohms to ohmsPlease include your work step by step if you could, it will help me understand how to do this! Thanks. in the overall reactions of photosynthesis, the electrons from _____ are used to reduce _____. Use the paragraph to answer the question.Coach Nash was interviewed by Harper Grace, editor of the online school newspaper. The success of his team was first noticed by spectators during the Week Three game against rival school Washington High School. The team collected statistics on every shot made and attempted. During daily practices, the team would be observed by coaching staff. The starting lineup would then be created by the head coach.Which sentence in the paragraph uses the active voice?(1 point)The team collected statistics on every shot made and attempted.Coach Nash was interviewed by Harper Grace, editor of the online school newspaper.During daily practices, the team would be observed by coaching staff.The success of his team was first noticed by spectators during the Week Three game against rival school Washington High School.I don't understand, if yall do, pls explain to me. The presence of _____ in the cell wall makes the walls somewhat rigid.cellulosecell membranechloroplastchlorophyll