Write the equation of the line that connects the set of data points!helppp

Write The Equation Of The Line That Connects The Set Of Data Points!helppp

Answers

Answer 1

Given:

The set of data points on the graph.

To find:

The equation of line that connects the set of data points.

Solution:

From the given graph it is clear that the data points are (20,40), (35,50), (50,60), (65,70).

If a line passes through two points [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex], then the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

Let as consider the line passes through (20,40) and (50,60), then the equation of line is

[tex]y-40=\dfrac{60-40}{50-20}(x-20)[/tex]

[tex]y-40=\dfrac{20}{30}(x-20)[/tex]

[tex]y-40=\dfrac{2}{3}(x-20)[/tex]

Multiply both sides by 3.

[tex]3(y-40)=2(x-20)[/tex]

[tex]3y-120=2x-40[/tex]

Isolate variable terms.

[tex]-2x+3y=120-40[/tex]

[tex]-2x+3y=80[/tex]

Therefore, the standard form of the required line is [tex]-2x+3y=80[/tex].


Related Questions

Which of the following functions best describes this graph?
A. y= x^2 - x + 5
B. y = (x - 3)(x + 1)
C. (x-1)(x-1)
D. y = x^2 - 5x + 6​

Answers

Step-by-step explanation:

The function that best describes the graph is y = (x - 1)² (C).

Giving Brainliest/Correct Answer/MATH

Answers

what’s the question??

The value of y is directly proportional to the value of x. If y =35 when x = 140, what is the value of y when x =70?

Answers

17.5 because 140 divided by 35 is 17.5 and so is 70 divided by 35.

Use the pencil,plot the point (3 1/2, 2 3/4)

Answers

Answer:

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

Step-by-step explanation:

Given the points

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)[/tex]

as

[tex]3\frac{1}{2}=\frac{7}{2}=3.5[/tex]

[tex]2\frac{3}{4}=\frac{11}{4}=2.75[/tex]

so the point can be visualized as:

[tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex]

Now, we can check the point x = 3.5, and determine the corresponding value y = 2.75 and plot the point at the location (x, y) = (3.5, 2.75)

The diagram of the plotting point [tex]\left(3\frac{1}{2},\:2\frac{3}{4}\right)=\left(3.5,\:2.75\right)[/tex] is attached below.

sin^2a-sin^2b=cos^2b-cos^2a​

Answers

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 , then sin²x = 1 - cos²x

Consider the left side

sin²a - sin²b

= (1 - cos²a) - (1 - cos²b)

= 1 - cos²a - 1 + cos²b

= cos²b - cos²a

= right side , thus verified

What is the simplified expression for (-3c)2 a-4 bo?​

Answers

Answer:

-6ca-4

Step-by-step explanation:

Answer:

9c2/a4

Step-by-step explanation:

While in Canada, Renita bought a souvenir that is 15 centimeters long. She knows that 1 inch equals 3 centimeters. What is the length of the souvenir in inches?

Answers

Answer: 5 inches

Step-by-step explanation:

Length of souvenir = 15 cm

If 1 inch = 3 centimeters

Length of souvenir in inches :

To obtain the length of souvenir in inches :

Divide the number of inches by 3

Length of souvenir / 3

15 / 3 = 5

Hence, the length of souvenir in inches = 5 inches

Choose the correct formula for the function h. HELP NEEDED ASAP

Answers

Answer:

The answer is C.

Step-by-step explanation:

h(x) = 3x + 2 - 1

Select the two expressions that are equivalent to each other.
A. 2/1
B. -1/-2
C. 0.5
D. -0.2
E. -1/2

Answers

The correct answers should be B=1/2 and C=1/2 so they are equal.

Help me i can’t do this

Answers

Answer:

[tex]\huge\boxed{\sf Star = 14}[/tex]

Step-by-step explanation:

Let snowman be x , star be y and shopping bag be z.

So, the given equations are:

1) x + y = 20                 (Eq. 1)

2) z = x + x      

 z = 2x                         (Eq. 2)

3) z + x = 18                   (Eq. 3)

Put Eq. (2) in Eq. (3)

2x + x = 18

3x = 18

Divide both sides by 3

x = 18 / 3

x = snowman = 6

Now, Put x in (Eq. 1)

6 + y = 20

Subtract 6 to both sides

y = 20 - 6

y = 14

So,

Star = 14

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Solve the system by substitution

Answers

Answer:

(x,y) = (-36,6)

Step-by-step explanation:

-6y=x

x+y=-30

x=-6y,

so -6y+y=-30

-5y=-30

y=6

x=-36

Hope this helps pls hit the crown :D

HELPPPPPPPP MEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEEE IT IS URGENT!!!!!!!!!!!!!!!!!!!!!!!!

Answers

18. B
So to get from 3 to 6 you multiply by two which you would also need to do to the price which is the same relationship because it is the correct answer whereas the 9 lbs you multiply by three and you would need to multiply the price by three as well and it is incorrect so it’s B
I’m not sure about the others though sorry

Marcus solved a problem and found out that 190% of 20 is 380. Is he correct

Answers

Answer: He is Incorrect, It's 38

Work: For this question, I did the Cross-Product Method. The Cross Product Method is when you solve equation via to fractions. With the CPM, One one side of the fraction, I had x / 20 (Twenty being the whole number) and on the other side, I had 190/100 (190 being the percent) After setting this up, I made the equation. 190 times 20 is 3800, and the other multiplication is 100 times x which is 100x. So, the new equation is 3800 = 100x. I divided both sides by 100, and the answer is 38 = x

I hope this helps, and Happy Holidays! :)

Answer:

No, Marcus is not correct. He converted the percent to a decimal correctly and he multiplied correctly, but he put the decimal in the wrong place in the answer. There should be two decimal places in the answer, so the answer should be 38.

Step-by-step explanation:

I took the assingment in edge 2020

Amadahy wants to buy a card and two gifts for her friend. Cards cost 3.49 each and gifts cost $10.63 each. Amadahy has a 20$ bill. Does she have enough to buy these items? If so, how much change will she receive? Will she receive? If not, how much more money does she need

Answers

Answer:

Given that Amadahy has a $ 20 bill, and wants to buy a card and two gifts for her friend, and knowing that each card costs $ 3.49 and each gift costs $ 10.63, the total cost of the 3 items would be $ 24.75 (10.63 x 2 + 3.49 ).

Therefore, she will not be able to purchase the products she wants, since she will need $ 4.75 to reach the amount necessary for it (24.75 - 20).

i need help pls ill give brainlest

Answers

Answer:

bruh okie

Step-by-step explanation:

The cost of 2.5 pounds of cheese is $5.60. Mrs. Peterson bought 9 pounds of cheese for her deli. How much money did Mrs. Peterson spend?

Answers

$20.16 because you can divide 9 by 2.5 and you’d get 3.6 and then multiply 3.6 by 5.6 and that’s what you get

May someone please help me?

Answers

Answer:

x=8°

y=29°

Step-by-step explanation:

vertically opposite angles are equal

so 5x+9°=y+20°

therefore 5x-y=11°

Alternate angles are equal

so 4x+17°=y+20°

therefore 4x-y=3°

equation 1....... 5x-y=11°

equation 2......4x-y=3°

using elimination method x=8°

y=29°

What’s the angles measure for QPM??

Answers

Answer:

∠ QPM = 68°

Step-by-step explanation:

The measure of the chord- chord angle QPM is half the sum of the arcs intercepted by the angle and its vertical angle, that is

∠ QPM = [tex]\frac{1}{2}[/tex] ( LM + LK )

            = [tex]\frac{1}{2}[/tex] ( 76 + 60)°

           = [tex]\frac{1}{2}[/tex] × 136°

           = 68°

what is the positive value of x in the following expression?
[tex]2x ^{2} - 7x - 4[/tex]

Answers

Answer:

x = 4

Step-by-step explanation:

Given

2x² - 7x - 4

To solve for x , equate the expression to zero

2x² - 7x - 4 = 0 ← in standard form

(x - 4)(2x + 1) = 0 ← in factored form

Equate each factor to zero and solve for x

x - 4 = 0 ⇒ x = 4

2x + 1 = 0 ⇒ 2x = - 1 ⇒ x = - [tex]\frac{1}{2}[/tex]

Thus the positive value of x is x = 4

Answer:

x=4

Step-by-step explanation:

Hope this helped have an amazing day!  

PLS HELP ASAP I MISSED THIS LESSON AND THIS IS DUE AT 11:59 THANK YOU

Answers

Answer:

x=8

Step-by-step explanation:

Answer:

x=8

Step-by-step explanation:

Slope of a given line is -2 and one point is (0,0). Select other points which could be on the line. Select all that applies:
a (2,4)
b (3,-6)
C (-1,2)
d (1,-2)

Answers

the equation of the line would be y=-2x, which means another point would be d. (1,-2)

CAN U PLZ HELP THANK YOU

Answers

Answer

second one

Step-by-step explanation:

Find the slope (if defined) of the line that passes through the given points. (-1, 6) and (5, 5)

Answers

The solution for your question is-1/6

Answer:

- 1/6

Step-by-step explanation:

Use the following equation to calculate slope between two points:

( Y2 - Y1 ) / ( X2 - X1 )

What's Y2? Y1? X2? X1?

( -1, 6 )

-1 = X1

6 = Y1

( 5, 5 )

5 = X2

5 = Y2

So when we plug in those numbers:

5 - 6 = - 1

5 - (-1) = 6

- 1/6

PLEASE HELP FOR ALGEBRA TEST write an equation that contains the coordinates (0,-1) and (3,7)

Answers

Answer:

The answer is y=8/3x-1

Step-by-step explanation:

7-(-1)/3-0

=8/3

y-y=m(x-x¹)

y-7=8/3(x-3)

y-7=8/3x-8

+7 +7

y=8/3x-1

how to be good at math??? ​

Answers

Step-by-step explanation:

Do more and more practice daily

If b=24 and c=10 what is for the missing side a= ? by Use the Pythagorean Theorem to find

Answers

Answer:

a = 21.82 if and only if b=10 and c=24

if you meant b=24 c=10

there can't be such a triangle because the hypotenuse is the longest side

Step-by-step explanation:

[tex]a^2+b^2=c^2\\\\a=?\\\\b=24\\\\c=10\\\\\\a^2+(24)^2=(10)^2\\\\a^2=(10)^2-(24)^2\\\\a^2=(10-24)(10+24)\\\\a^2=-14(34)[/tex]

which doesn't work because something squared can't be a negative

if you meant

c=24 and b=10

[tex]a^2+(10)^2=(24)^2\\\\a^2=(24)^2-(10)^2\\\\a^2=(24-10)(24+10)\\\\a^2=(14)(34)\\\\a\approx 21.82[/tex]

9514 1404 393

Answer:

  a = 26  or  21.82

Step-by-step explanation:

If 'a' is the hypotenuse, then ...

  a² = b² +c²

  a² = 24² +10² = 576 +100 = 676

  a = √676 = 26 . . . if 'a' is the hypotenuse

__

If 'a' is the long side, then ...

  b² = c² + a²

  b² -c² = a² = 24² -10² = 576 -100 = 476

  a = √476 ≈ 21.82 . . . if 'a' is the long leg

__

Comment on the question

The problem statement doesn't tell us what side of the triangle is labeled 'a'. There are two possibilities. An answer has been provided for each. Use the one that applies to the figure you are given.

Find the mean, median, mode, and range of the data below:
1)
# Words in Book Titles
2
6
5
5
5
4
4
2
3
2
3
2 1 2
2

Answers

Answer:

Hi, sry if this doesn't help anymore but these r the answers

mode=2

median=3.5

mean=3.2

range=5

Step-by-step explanation:

On a timer please help

Which could be the graph of f(x) = |x - h| + k if h and k are both positive?

Answers

Answer: a

Step-by-step explanation: edge 2020

C'mon any washingtonians???

Answer the questions based on the interview of Warren Michio Tsuneishi.

The most difficult thing for Tsuneishi about living in the internment camp was the
_________

Moving to internment camps for many Asian American families meant
_________

The spirit of the internment camp compared to the German concentration camp at Dachau was different, but the camp was similar in
_________

Answers

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

Answers are numbered for each one

Answer:

1. Loss of freedom

2. Economic loss

3. Layout

Step-by-step explanation:

I just took the quiz

Express 30 as power with base 6​

Answers

Answer:

30 ÷ 6 =5 so

5 is to the power 6

Other Questions
The amplitude for the trigonometric functions tangent, cotangent, secant, and cosecant are not definedA.) TrueB.) False Sam got a job mowing lawns earning $20 for every lawn he mows, m Represents this situation by filing in the table below, creating a graph, and writing an expression. Then determine how much Sam will earn for mowing 22 lawns, justifying/showing how much you got your answer (a) Find the Total profit function P(q).(b) Find the first and second derivatives for P(q).(c) Find the optimum production quantity to maximize profit. help please! thank ylu 6= 2(y+2). Helppppppppppppppp Find an example of a large project that took more than a year to complete, preferably one near where you live. Describe some of the planning work completed for the project as part of project time and cost management. Summarize your findings How did the geography of the Nile River Valley influence life inancient Egypt? If someone cannot "pull his/her weight" he or she is expendable, agree or diagree and why? give an example Daniel is organizing his rock collection of 18 rocks into equal groups. How many possible ways can Daniel line up his rock collection? 2 possible ways3 possible ways5 possible ways6 possible way please help me find the value of x!! During which two months do both the Northern and Southern Hemispheres receive the same amount of energy from the Sun? Is Dalmatians literature? in the membranous skeleton ----sheath surrounds the central nervous system I perineural ii perineurium iii peritoneum iv perichondrium Write an equation of the line that passes through (-1,4) and is perpendicular to the line shown. Gab is able to serve 9 serving of penne pasta to 16 people. How many servings does he have to make for a party of 80 people A store at the mall was closing. Everything in the store was 75% off. If youwanted to buy a $200 jacket, how much did it actually cost you? An equation of a line through (11, 12) which is perpendicular to the line y=3x+1 has slope: ____Blank____and y -intercept at____Blank____ Select the correct answer. A wooden board that is 108 inches long is cut into two equal parts. What is the length of each part in feet? (feet : Inches = 1:12) OA 0.45 feet B. 4.5 feet O C. 9 feet OD. 54 feet How many tenths are there in 2.7? highlight the correct answer - polar or non polar1. A (polar / non-polar) bond is one where there are more shared electrons grouped around one atom than the other.2. A (polar / non-polar) bond is one where the electrons are evenly distributed between the two atoms sharing electrons.3. A molecule with symmetry is (polar / non-polar).4. A molecule that does not have symmetry is (polar / non-polar).5. A (polar / non-polar) molecule has its valence electrons evenly distributed around the molecule.6. A (polar / non-polar) molecule has one of its sides with more or fewer electrons than the other sides.