What is the equation for the line that is parallel to y = 5x + 8 and passes through the point (2, 16)?

Answers

Answer 1

Answer:

y=5x+6

Step-by-step explanation:

What Is The Equation For The Line That Is Parallel To Y = 5x + 8 And Passes Through The Point (2, 16)?
Answer 2

The equation of line passes through the point (2, 16) will be;

⇒ y = 5x + 6

What is Equation of line?

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The point on the line are (2, 16).

And, The parallel line is,

⇒ y = 5x + 8

Now,

Since, The equation of line passes through the point (2, 16).

So, We need to find the slope of the line.

Since, The slope of the parallel line is same.

Hence, Slope of the line is,

y = 5x + 8

m = dy/dx = 5

m = 5

Thus, The equation of line with slope 5 is,

⇒ y - 16 = 5 (x - 2)

⇒ y - 16 = 5x - 10

⇒ y = 5x - 10 + 16

⇒ y = 5x + 6

Therefore, The equation of line passes through the point (2, 16) will be;

⇒ y = 5x + 6

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Related Questions

Help please! Only answer if you know for sure.

Answers

Answer:

c I am 100% sure

Step-by-step explanation:

The answer is “c” I put the chart in a calculator

Suppose jefferson middle school had 616 students and averaged 28 students per teacher during the year. If Jefferson Middle Schools student population increases by 18% this year and 9% of last years teacers left, how many new teachrs does Jefferson need to hire to keep its average of 28 students per teacher

Answers

Answer:

6 more teachers are required.

Step-by-step explanation:

Total number of students = 616

No of teachers = 616/28= 22

Increase in students = 18%

                                = 18/100*616= 110.88= 111

Total number of students = 616+111= 727

Decrease in teachers = 9%

                                 = 9/100*22= 1.98= 2

New number of teachers= 20

Now Average is 28 students per teacher so

727/28= 25.96= 26 teachers are required for the total number of 727 students. The school has already 20 teachers so they need 6 more teachers.

4. Complete the following two-column proof.
Given: 5x - 2 = -12
Prove: x = -2

help please.

Answers

Answer:

x does equal -2

Step-by-step explanation:

Substitue x = -2:

[5(-2) -2 = -12]

Simplify:

[-10-2 = -12]

Add/Subtract from left to right:

[-12 = -12]

Therefore:

x = -2

i need help.please help me

Answers

Answer:

1) r >-5       2) x >9

Step-by-step explanation:

solve for X: 2(x + 5) + 3(x – 2) = 29
please explain too! will mark brainliest

Answers

Answer:

5

Step-by-step explanation:

2x+10+3x-6=29

5x+4=29

5x=25

x=5

Solve the system of equations below. 3/+4,/9-12 = 17 2v1 +3,11+52 = 18 -V5-VT-12 = -6​

Answers

Answer: -6 You answered your own question-

Gail Martinez is employed at My Best Books. She has family medical coverage through the group medical plan that My Best Books provides for its employees. The annual cost of Martinez's family membership is $3,900. The company pays 50% of the cost. How much does she pay annually for medical insurance? *

Answers

Answer:

$1850

Step-by-step explanation:

The annual cost of Martinez's family membership for medical insurance is $3,900.

The company pays 50% of the cost.

So, the cost paid by the company= 50% of $3,900.

[tex]=\frac {50}{100}\times 3900=\$1850[/tex]

The remaining cost for the family medical insurance must be paid by Gail Martinez.

So, the annual payment by her =$3900-$1850=$1850

Hence, she pays $1850  annually for medical insurance.

Caleb is a junior at JA Enterprise High School and plays rugby on the school team. He has a part-time job at a local fast-food restaurant and works 20 hours a week for $7.60 an hour. His gross monthly income is $608.00, and his take-home pay is $501.64. In his spare time, Caleb walks a dog belonging to an elderly neighbor. He earns an additional $40.00 per month for that chore.

Caleb's parents gave him a used car, and he pays his own insurance, which is $110 per month. His gas and maintenance expenses usually run $65 a month. He also has a cell phone and pays his parents $30 each month for his share of the family plan.

In three weeks, Caleb plans to take a day trip to Six Flags amusement park. His admission will cost $50, and he plans to have $35 for meals and another $50 for incidentals.

Caleb needs to start saving for Christmas, which is in four months, and he usually spends around $200 on gifts for his family and friends. He also would like to buy a new $80 e-reader this month.

Though Caleb's parents will help pay for his college tuition, he knows that in two years, he will have to pay for his books and earn his own spending money. He is estimating that each semester, he will spend $300 on books and $600 on personal needs.

How much are Caleb's regular monthly expenses?

Answers

Answer:

Caleb's net monthly income would be $541.64

Step-by-step explanation:

His monthly take home pay from restaurant is $501.64

Since he earns additional $40 per month for dog walk,

Therefore, his monthly pay would be ;

= $501.64 + $40

Caleb's net monthly income =$541.64

Caleb's monthy regular expenses including car insurance and books is

$355.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

From the given information, The total net earnings of Caleb is,

= $(501.64 + 40).

= $541.64.

Now, The expenses for Car insurance, Gas, and cell phone recharge is,

= $(110 + 65 + 30).

= $205.

Again, For books and personal needs, he have to spend $(300 + 600).

= $900.

Monthly it is,

= 900/6.

= $150.

Therefore, Caleb's regular expenses is,

= $(205 + 150).

= $355.

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Find FG. (idk how to write the question but apparently it needs to be longer)

Answers

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

Some
One help me with this

Answers

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope equals rise/run. You find one perfect point  (-2,0) and another along the line (1,2)

You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.

A 2000-gallon metal tank to store hazardous materials was bought 15 years ago at cost of $100,000. What will a 5,000-gallon tank cost today if the power–sizing exponent is 0.57 and the construction cost index for such facilities has increased from 180 to 600 over the last 15 years? Choose the closest value.

Answers

Answer:

The value  is [tex]P_o = \$ 561958.9 [/tex]

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  [tex]C =  2000 \  gallon[/tex]

   The duration usage is  [tex]t = 15\ years \ ago[/tex]

   The cost of 2000-gallon tank 15 years ago is [tex]P =  \$100,000[/tex]

    The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]  

    The power sizing exponent is [tex]e = 0.57[/tex]

     The initial construction cost index is  [tex]u_1 = 180[/tex]

      The new construction after 15 years cost index is  [tex]u_2 =600[/tex]

Equation for the power sizing exponent is mathematically represented as

      [tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]

=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago  

So

     [tex]P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]

      [tex]P_n  =  \$168587.7[/tex]

Equation for the cost index exponent is mathematically represented as

      [tex]\frac{P_o}{P_n}  =  \frac{u_2}{u_1}[/tex]

Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today

So

       [tex]\frac{P_o}{168587.7}  =  \frac{600}{180}[/tex]

=>    [tex]P_o = \frac{600}{180} * 168587.7[/tex]

=>      [tex]P_o = \$ 561958.9 [/tex]

*PLEASE ANSWER, I NEED HELP I DONT GET IT*

Answers

Answer:

the third graph

Step-by-step explanation:

2x<6/÷2 we get x<3

3x+2>-4

3x>-4-2

3x>-6/÷3

x>-2

Answer:

Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.

Step-by-step explanation:

You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3

When something is < or >, the inequality graph will be an open circle.

When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.

You now know that it is either A or C, but how to know which one?

You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.

The first is x<3

but the other is 2x+2>-4

You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.

Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.

Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.

BUT...

The two inequalities are separated by "and," meaning that they are related  by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."

In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.

In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.

SO

Because they are connected with the word And,

They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.

That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.

Hope this helps!

what expression is equivalent to -0.2-4.9?

Answers

First, is there any choices?

Please help!!! And explain step by step

Answers

Answer:

So I believe you are supposed to find the common denominator between the two so we know that 2 times 2 is 4 and 3 times 3 is nine, and when you multiply 2 and three you get 6. I believe the answer is (6).

Step-by-step explanation: A=6

Solve for r given the points ( 12 , 10 ) and (-2, r) and the slope, m = -4.

Answers

Answer:

r = 66

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)

m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then

[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )

r - 10 = 56 ( add 10 to both sides )

r = 66

can u simplify 18/56 into a fraction?

Answers

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

HELPPPPPPPPPPPPPPPPP

Answers

Answer:

D

Step-by-step explanation:

:) hard to explain, and takes a LOT of typing I don't really wanna do

Charlie's homemaking class makes aprons to give to a local soup kitchen. Each apron requires 2 1/4 yards of fabric, and the cost of fabric per apron is $9. What is the cost of 1 yard of fabric?​

Answers

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

The following scores represent students' test grades in Ms. Orr's science class. Test Scores 78 81 78 81 78 81 78 81 78 87 91 87 91 87 91 87 91 87 What is the median score for Ms. Orr's science class?

plsss help mee​

Answers

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

HURRY!
If Johnson had 1800 apples, and gives 347 to his mon, and hid dad gave him 2876, how many apples does he have.

Answers

johnson has 4,329 apples

Answer:

4329

Step-by-step explanation:

I coan't really explain this sorry.

I hope this helps though!

Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!

PLEASEEE HURRY!!! And please show work thank youuu

Answers

30 because big brain maths

a sequence is Defined by the formula F(n+1)=f(n)-3. If f(4)=22, what is f(1)

a)10
b)13
c)31
d)34

Answers

Answer:

The answer is 13 hope it helps!<3

Step-by-step explanation:

Perform the indicated operation.
-6 + 6
oo
0-12
O 12

Answers

Answer is 12

Because -6 + 6 = 12

Base area of a room is 34m^2 and height of the room is 10m. Find the volume

Answers

Answer:

340 m³

Step-by-step explanation:

Hi there !

V = Ab×h

= 34m²×10m

= 340 m³

Good luck !

The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

Given the following data:

Base area of room = 34 [tex]m^2[/tex]Height of room = 10 meters

To find the volume of the room:

Mathematically, the volume of a room is given by the formula:

[tex]V = Bh[/tex]

Where:

V is the volume of an object.B is the area of an object.h is the height of an object.

Substituting the given parameters into the formula, we have;

[tex]V = 34 \times 10[/tex]

Volume = 340 cubic meter.

Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

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Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day. Let P represent Sydney's total pay on a day on which she sells "x" dollars worth of computers. Write an equation that represents P as a function of X

Answers

Answer:

P=0.025x+100

Step-by-step explanation:

The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.

that's the correct answer^^^

y = 1/40x + 100 is  an equation that represents P as a function of X

What is Linear function?

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.

Let the equation of line y = kx + b

Where b is 100

Since the given line passes through (0, 100) and (4000,200)

since For a line k = (y₂ - y₁)/(x₂ - x₁)

Thus, k = (200 -100)/(4000-0)

k = 1/40

Thus,

y = 1/40x + 100

Therefore, an equation that represents P as a function of X is y = 1/40x + 100.

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Complete question:

Find the slope of each line.

Line A: (6,4) & (-3,-1)

Line B: (-6,0) & (3,5)


a) line a= 5/9 line b= 5/9

b) line a= 9/5 line b= 9/5

c) line a= -5/9 line b= -5/9

d) line a= -9/5 line b= -9/5

Answers

Answer:

a) line a= 5/9 line b= 5/9

Step-by-step explanation:

Use the slope formula:

m =    y2 - y1  

         x2 - x1

Plug-in the known values for each line:

Line A:     -1 - 4 = -5    =  5  

               -3 - 6      -9         9

Line B:     5 - 0  =  5  

               3 - (-6) =   9

Ms. Leigh
wants to organize the desks in the study
hall into a square. If she has 64 desks,
how many should be in each row?

Answers

Answer:

8 in each row

Step-by-step explanation:

Can someone please help me out ?

Answers

Answer:

the correct answer is D.

Answer:

-.25 + 2 keep adding a number to -.25 and youll figure it out, also without the x itll need 8.25 more to equal 10 or more to get past 10.

Step-by-step explanation:

can someone who KNOWS WHAT theyre doing and is good at angles please help

Answers

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

If 6 candy bars cost a total of $12, then $2 is the ___________ of the candy bars. *

Answers

$2 can get you one candy bar. So if you want 6 it would cost $12
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What is the ratio of aluminum atoms to oxygen atoms in aluminum oxide? What features do eNotes have? Check all that apply.drawing featuresformatting featuresediting featuresphoto-editing features video features x2 + 10x + 25 = 0Solve each equation by factoring Read the passage about the life of Cesar Chavez.Cesar Chavez was born on March 31, 1927, near Yuma, Arizona. Chavez is best known for his use of nonviolent means to draw attention to the poor working conditions of farm workers in the United States. He also formed the National Farm Workers Association in 1962. In 1972, the National Farm Workers Association merged with the Agricultural Workers Organizing Committee to become the United Farm Workers. Chavez led marches, boycotts, and hunger strikes. It is believed that these hunger strikes may have contributed to his death on April 23, 1993.Chavez dedicated his life to improving the lives of farm workers, a life with which he was very familiar. Until he was ten, his parents had owned a farm. They lost this farm during the Great Depression, and he and his family became migrant farm workers. Chavez had to work even harder after his father was injured in an automobile accident. He knew all too well about the poor pay and terrible working conditions withstood by farm workers. Chavez used nonviolent means to fight for the improved treatment, pay, and working conditions of farm workers. He was instrumental in organizing one such famous strike against the California grape growers in 1965, a battle that lasted for years. At one point, Chavez even called for a national boycott against the grape growers. His efforts over the years resulted in several victories for farm workers. After his death, Chavez was awarded the Presidential Medal of Freedom.Which fact would be best to include to help nominate Chavez for the "Most Dedicated category? A. Chavez believed in using nonviolent methods to achieve his goals. B. Chavez worked most of his life to improve the lives of farm workers. C. Chavez received the Presidential Medal of Freedom after his death. D. Chavez understood the conditions that migrant farm workers faced. Which sentence contains a prepositional phrase that is used as an adjective? A. The show on television tonight is about panda bears. B. The whole class gathered at the park in the afternoon. C. The Declaration of Independence was signed in 1776. D. I prefer the shirt with the blue and white stripes. The Assyrian Empire was conquered by the Chaldeans because the Assyrian king was assassinated, leaving the Empire weak.TrueFalse A mixture cannot be reversed back to its original properties (true or false) How do the test variables (independent variables) and outcome variables (dependent variables) in an experiment compare? A. The test variables (independent variables) and outcome variables (dependent variables) are the same things. B. The test variable (independent variable) controls the outcome variable (dependent variable). C. The test variable (independent variable) and outcome variable (dependent variable) have no affect on each other. D. The outcome variable (dependent variable) controls the test variable (independent variable). The diagram of a living room is shown below. What fraction of the living room is covered by the rug? need done ASAP Why were the Intolerable Acts so important and why were they important to the Colonists? In this system, ___________________ energy from the flames of the fire transfer energy to the kettle causing the liquid to become steam. The thermal energy of the steam spins the turbine (_________________ energy) which generates ___________________ energy that is used to operate the fan. The moving electric motor and the spinning fan blades are a form of ______________________ energy. After running for a while, the fan becomes hot to the touch, and ever so often releases ___________________ energy into the air. *Note* Another form of energy is released from the kettle. What is it? ______________ (MC)Which of the following was a result of industrialization in the United States? (3 points)Question 16 options:1) African Americans experienced less discrimination in the South.2) Large numbers of immigrants moved west to start farms.3) Large numbers of Asian immigrants returned to their native countries.4) The gap between rich and poor members of society became larger. supershaggy!!!!!!!!!!!!!!!!!!!! Round the factors and estimate the products.a.656 x 106 -b. 3,108 x 7,942 -C.425 x 9,311 -what is this i wanna drop out Given that R = 3x + 9yFind x when y = 6 and R=7Give your answer as an improper fraction in its simplest form. HEP I WILL GIVE BRAINLIEST!!! The PRIMARY purpose of knowing the individual is to: why is y=4 not a literal equation You can ignore a and b but can someone help me with c and d plz :) What is the value of X?A.11B.9C.7D.6