The line passing through which two points is parallel to the line x - 2y = 16?
A) -6,-1 and 2,-5
B) -4,-6 and 2,-9
C) -5,7 and 0,-3
D) -1, 5 and 3,13
E) -4,7 and -2,8

Answers

Answer 1

Answer:

E) -4,7 and -2,8

Step-by-step explanation:

parallel lines have same slope

x - 2y = 16

y = 1/2 x -8     slope: 1/2

E. slope = Δy / Δx = (8-7) / (-2 - -4) = 1/2

Answer 2

Using the slope, it is found that the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

----------------------

The equation of a line, in slope-intercept formula, is given by:

[tex]y = mx + b[/tex]

In which m is the slope.If two lines are parallel, they have the same slope.Given two points, the slope is given by change in y divided by change in x.

----------------------

The line given is:

[tex]x - 2y = 16[/tex]

In slope-intercept formula:

[tex]2y = x - 16[/tex]

[tex]y = \frac{x}{2} - 8[/tex]

----------------------

In this question, we want a line with an slope of 1/2.

At option E, the points are (-4,7) and (-2,8), thus, the slope is:

[tex]m = \frac{8 - 7}{-2 - (-4)} = \frac{1}{-2 + 4} = \frac{1}{2}[/tex]

Thus, the line passing through points (-4,7) and (-2,8), option E, is parallel to the given line.

A similar problem is given at https://brainly.com/question/22532445


Related Questions

help please!!!!!!!!​

Answers

the correct answer is d!!

[tex]\frac{1}{2}b+2\leq -6[/tex]

Answers

Answer:

1/2 b ≤-8

Step-by-step explanation:

please help! will mark brainliest

Answers

Answer:

I think b sorry if im wrong

Ratio 54:18 and 18:6 equivalent ?

Answers

Answer:

Yess

Step-by-step explanation:

54:18 = 54/18 = 3/1 = 3:1

18:6 = 18/6 = 3/1 = 3:1

54:18 = 18:6 = 3:1 = 3:1

Thus, Both 54:18 and 18:6 are equivalent

-TheUnknownScientist

can someone help me out please

Answers

Second and last one are correct

Someone, please answer this ASAP.... it's due today :(

At a fishery, the largest catches in August were of blackfin tuna, sailfish, blue marlin, and king mackerel. The fishery calculated the mean and standard deviation of the weights, in pounds, of each type of fish, as shown in the table. Which data set has the smallest spread?

Answers

Answer:

Blue marlin

Step-by-step explanation:

How would I graph y -1 =-5(x- 2)

Answers

Distribute the -5 then add 1 to both sides to get the y alone then you’ll have a function in y=Mx+b form to graph

A 5 pound tub of cottage cheese at n dollars per pound costs $10.25 .
Write an equation for the following word problem

Answers

Answer:

5n = $10.25

Step-by-step explanation:

We know that the tub is 5 pounds, and costs $10.25. We also know that n is in dollars per pound. Dollars per pound can be written as the product of dollars, divided by pounds, so we can plug that in being n = $10.25/5, next we want to make the equation contain an integer on both sides and not contain any fractions, so we multiply both sides by 5, resulting in 5n = $10.25


Three times Mary's age added to Beth's age is 34 years. Half of Mary's age minus Beth's age is 1 year. How old are Mary and Beth?

Answers

Answer:

It’s 15 and 17

Step-by-step explanation:

34-7x=2y

-13 -13

(15,17)

HELP
Please don’t answer if you don’t know it.

Answers

Answer:

d=5

Step-by-step explanation:

Answer: d= 5

Step-by-step explanation:

I did this test on edgunity if you need a step by step I can leave it in the comments below. Good luck

look at picture correct answer gets brainlist

Answers

Answer:

option C is correct

4 degree polynomial with 4 terms

What is 2 13/18 - z = 1 19/36

Answers

Answer z= 43/36

Step-by-step explanation:

We have given,

2 13/18 - z = 1 19/36

Since 2 13/18 = 49/18  and 1 19/36 = 55/36

So we can write,

2 13/18 - z = 1 19/36

or 49/18 - z = 55/36

or 49/18 - 55/36 = z

or (98 -55)/36 = z

or 43/36 = z

Hence we got z = 43/36

Solve the system by substitution.
x + 6y = -2
-x= 3y - 10

Answers

Answer:

x = 22, y = -4

Step-by-step explanation:

x + 6y = -2 --- Equation 1

-x = 3y - 10 --- Equation 2

Equation 2 ×(-1): x = -3y + 10 --- Equation 3

Substitute x = -3y + 10 into Equation 1:

x + 6y = -2

-3y + 10 + 6y = -2

3y + 10 = -2

3y = -2-10

    = -12

y = -12 ÷ 3

y = -4

Substitute y = -4 into Equation 3:

x = -3y + 10

x = -3(-4) + 10

  = 12 + 10

x = 22

Which of the following equations has the same solutions as the equation 3x + 2y = -12? Check all that apply.

Answers

Answer:

[tex]B.\ -3x - 2y = 12[/tex]

[tex]C.\ 15x + 10y = -60[/tex]

[tex]E.\ 6x + 4y = -24[/tex]

[tex]F.\ 1.5x + y =-6[/tex]

Step-by-step explanation:

Given

[tex]3x + 2y = -12[/tex]

Required

Determine equations with same solution as [tex]3x + 2y = -12[/tex]

For a solution to have the same solution as [tex]3x + 2y = -12[/tex], the equation must be expressed as [tex]3x + 2y = -12[/tex]

[tex]A.\ 3x - 2y = 12[/tex]

This can not be expressed as [tex]3x + 2y = -12[/tex]

[tex]B.\ -3x - 2y = 12[/tex]

Multiply through by -1

[tex]-1(-3x - 2y) = 12 * -1[/tex]

[tex]3x + 2y = -12[/tex]

This has the same solution as the given equation

[tex]C.\ 15x + 10y = -60[/tex]

Divide through by 5

[tex]\frac{15x}{5} + \frac{10y}{5} = \frac{-60}{5}[/tex]

[tex]3x + 2y = -12[/tex]

This has the same solution as the given equation

[tex]D.\ 6x + 2y = -12[/tex]

Divide through by 2

[tex]\frac{6x}{2} + \frac{2y}{2} = \frac{-12}{2}[/tex]

[tex]3x + y = -6[/tex]

This can not be expressed as [tex]3x + 2y = -12[/tex]

[tex]E.\ 6x + 4y = -24[/tex]

Divide through by 2

[tex]\frac{6x}{2} + \frac{4y}{2} = \frac{-24}{2}[/tex]

[tex]3x + 2y = -12[/tex]

This has the same solution as the given equation

[tex]F.\ 1.5x + y =-6[/tex]

Multiply through by 2

[tex]2*1.5x + 2*y =-6*2[/tex]

[tex]3x + 2y =-12[/tex]

This has the same solution as the given equation

[tex]G.\ x + \frac{2}{3}y = -12[/tex]

Multiply through by 3

[tex]3 * x + 3*\frac{2}{3}y = -12*3[/tex]

[tex]3x + 2y = -36[/tex]

This can not be expressed as [tex]3x + 2y = -12[/tex]

The equations with the same solution as [tex]3x + 2y = -12[/tex] are the ones that we were able to expressed as [tex]3x + 2y = -12[/tex].

And the equations are:

[tex]B.\ -3x - 2y = 12[/tex]

[tex]C.\ 15x + 10y = -60[/tex]

[tex]E.\ 6x + 4y = -24[/tex]

[tex]F.\ 1.5x + y =-6[/tex]

The ratio of the number of girls to the number of boys was 3 to 7. If 2,520 students were present, how many were girls and how many were boys

Answers

Answer: 756: 1764

756 girls and 1,764 boys

Step-by-step explanation:

Girls to boys- 3:7

Total Students: 2,520

Using the information given, you will create an equation.

3x + 7x = 2,520

10x = 2,520

X = 252

Now you plug-in 252 for x in your ratio

X is the the number of people

3(252) : 7(252)

756: 1764

Now when you add these numbers, you get 2,520 which is the total number of students in all. This proves your answer to be correct.

Hope this helps!

The number of girls were in the class is 756 and the number of boys were in the class is 1764.

What is the ratio?

The ratio is defined as the comparison of two quantities of the same units that indicates how much of one quantity is present in the other quantity.

Given that, the ratio of the number of girls to the number of boys was 3 to 7.

2,520 students were present

Now, 3+7 =10

Number of girls =3/10 ×2,520

= 756

So, the number of boys =2520-756

= 1764

Therefore, the number of girls were in the class is 756 and the number of boys were in the class is 1764.

To learn more about the ratio visit:

brainly.com/question/13419413.

#SPJ5

The average score of all high school students in math and science is 150 with a standard deviation of 25. A random sample of 125 students in a district shows an average score of 158. At 95%, is the difference significant? Follow the five-step one-sample test and write your conclusion.

Answers

Answer:

The difference is significative we reject H₀

Step-by-step explanation:

Normal Distribution

Population mean            X₁    =  150

Population standard deviation       σ  =  25

Sample size        n   =  125

Sample mean     X₂   =  158

1.-CI =  95 %   significance level    α  =  5%    α = 0,05

From z-table α = 0,05    z(c)  =   1,64    ( the test is one-tail test to the right)

2.-Hypothesis Test

Null Hypothesis                                    H₀        X₂  =  X₁

Alternative Hypothesis                        Hₐ        X₂  >  X₁

3.-To compute z(s)

z(s)  =  ( X₂  -  X₁ ) / σ/√n

z(s)  =    8 * 11,14 /25

z(s)  =  89,12/25

z(s)  = 3,56

4.- Comparing  z(s)  and z(c)

z(s)  > z(c)

Then z(s) is in the rejection region we reject H₀

2y + ( 4x+ 7) + (2x+19)|

Answers

Answer:

[tex]2y + (4x + 7) + (2x + 19) \\ = 2y + (4x + 2x) + (19 + 7) \\ = 2y + 6x + 26 \\ = 2(y + 3x + 13)[/tex]

Find the Mean, Median, Mode and Range of each series. Mean: 126 ÷ 9 = 14 1) 6 , 12 , 8 , 4 , 16 , 16 , 6 , 16 , 9 93 ÷ 9 2) 13 , 4 , 9 , 13 , 1 40 ÷ 5 3) 5 , 12 , 14 , 20 , 5 4) 20 , 18 , 12 , 2 , 13 , 1 66 ÷ 6 5) 14 , 8 , 20 , 12 , 17 , 14 , 5 Median: 5 , 7 , 8 , 10 , 15 , 17 , 21 , 21 , 22

Answers

Answer:

129-14 is 115 than minus 6 than add 12

Step-by-step explanation:

the linear equation y = 400 + 50x represents the total cost, y , per hour, x , for a lawyer at a law firm. The lawyer charges a flat retainer fee and then charge per hour of work done. true or false The y-intercept of the line is 50.
True – The , y, -intercept of the line is 50.

The y-intercept represents the flat retainer fee.
True – The, y, -intercept represents the flat retainer fee.
False – The, y, -intercept represents the flat retainer fee.
The slope of the line is 400.
True – The slope of the line is 400.
False – The slope of the line is 400.
The slope represents the cost of work per hour.
True – The slope represents the cost of work per hour.
False – The slope represents the cost of work per hour.

Answers

Answer:

453

Step-by-step explanation:

because we multiply the value with the equation

Fine the equation of the line that is perpendicular to the given line and passes through the given point. Enter the right side of the equation as a single fraction. y=7x-1/4;(5,5)
The equation is y=
Please help it’s urgent! :)

Answers

Answer:

[tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]

Step-by-step explanation:

Change the given equation to slope-intercept to get [tex]y=\frac{7}{4}x-\frac{1}{4}[/tex]. When you multiply the slopes of perpendicular lines, you get -1. -1 divided by [tex]\frac{7}{4}[/tex] is [tex]-\frac{4}{7}[/tex]. The slope of the new line is then [tex]-\frac{4}{7}[/tex]. The perpendicular line passes through (5, 5) so you can have the equation[tex]5=-\frac{4}{7} (5)+b[/tex]. Simplifying gets [tex]b = \frac{55}{7}[/tex] . So now the final equation for the perpendicular line is [tex]y=-\frac{4}{7} x+\frac{55}{7}[/tex]

what percentage of his monthly budget does tyrone spend on car expenses

Answers

Divide the utility expense by the monthly budget. Multiply the result by 100.

Answer:

the answer is 13%

Step-by-step explanation:

OK THIS IS SUPER EASY FOR YOU BUT NOT ME HELP!!!!!

Answers

the last option!! the multiplication

Answer:

D

Step-by-step explanation:

What is the probability that a point chosen at random will be in the shaded region?
O 17%
O 83%
O 36%
O 6%

Answers

I will say 36 but I also will say wait on someone else to answer

The function B gives the depth of the water, in inches, t minutes after Tyler began to fill the bathtub. What does B(9)=11 mean?

Answers

Answer:

B(9) = 11 means the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches

Step-by-step explanation:

Whereby the function is expressed as B(t) = d,

Where;

d = The depth of the water

Therefore, when we have B(9) = 11, by comparing with the general form of the function, B(t) = d, we have;

t = 9 = The time in minutes after Tyler began to fill the bathtub = 9 minutes

d = The depth of the water = 11 inches

Which gives the meaning of the equation, B(9) = 11 as the depth of the water in the bathtub, 9 minutes after Tyler began to fill the bathtub is 11 inches.

Please help. I really don't seem to understand this question. ​

Answers

Answer:

m3=15(8)+22=142

m1=19(8)-10=142

Both are equal so the answer is Yes they are parallel

Find the slope of the line that passes through the points (2, -5) and (3, -6)

Answers

Answer:

slope is -1

Step-by-step explanation:

slope is

m= (y2-y1) / (x2-x1) = -5+6 /2-3 = 1/-1 = -1

Katie bought 4 sweaters that each cost the same amount and 1 skirt that cost $20. the items she bought cost a total of 160$. write an equation to determine each cost of each sweater.

Answers

Answer:

160-20=140. 140/4=$35.

bhurasi got 85%marks in s.l.c. examination if the total marks was 800,how many marks did she obtain​

Answers

Answer:

680

Step-by-step explanation:

total percent=85%

total marks=800

obtain marks = total percent % 100 mutiply by total marks

Which of the following situations are equal to 2? Select all that apply.

A) 75% of 3
B) 20% of 5
C) 10% of 20
D) 50% of 4
E) 25% of 8

If you answer this you will get 100 points and marked Brainlest.
Please don't put any random anwser.

Answers

Answer:

C, D, and E

Step-by-step explanation:

Hope this helps.

Happy New Year!!

Please help me solve this...

Answers

Equation is 2x+29=21

X=-4
Other Questions
Whats the decimal expansion for fraction 7/9? Please solve for xy+x=89y=11x=??? HELP ME QUICKLY FOR BRAINLIEST Write a real-word problem that can be modeled by 4*(-7). Write a positive or negative integer that represents the situation.You earn 7 points in a game. When we dissolve a substance in water, a -------- is formed imprtance of physical education in children life Which of the following is not a strategy for reducing environmental risk? a. safely disposing of waste b. setting fines for pollution c. remediating waste generation d. remediating contamination What is one example of something that Jem and Scout have been looking at through innocent eyes and how have others been viewing that same thing through ignorant eyes? Explain HELP IM TIMEDWhat is the multiplicative rate of change of the function? One-third Two-thirds 2 9 Which unit rate is the lowest price per ounce? (5 points)Choice A: 21 ounces of raisins for $3.59Choice B: 36 ounces of raisins for $4.79Choice AChoice BThe unit rates are equal.The unit rates cannot be determined.aObOd Molar mass for C 3 H 6 (O H)2 In his paper, Mario rephrases his description of food deserts. Read his description below. Food deserts are places that lack access to healthy, fresh food. He wants to use another word for "access in his description. How can Mario complete his task without leaving the Word application? Use a browser to find a synonym of the word. Use the Tell me bar to find a synonym of the word. Use the Thesaurus feature to find a synonym of the word. Use the Smart Lookup feature to find a synonym for the word. G Complete with the correct form of the indicated adjectives.27-28. Unos cursos son____y otros cursos son_____(dificil, fcil)29-30. Unas clases son_______y otras clases son______(pequeo, grande)31-32. El curso de matemticas es_______y el curso de historia es________(aburrido, interesante) Why was the concern over global cooling replaced with a concern over global warming?a.The science community needed a cause to frighten the general population.b.Steady surface temperature increases were noted between the 1970s and 90s.c.Air pollution only became a concern in the 1980s.d.Scientists observed severe ocean acidification.Please select the best answer from the choices providedABCD Giving 15 point please help Find the greatest common factor (GCF) of 16 and 56.Use the GCF to factor 16+56.GCF = 16 + 56 = _ x (_+_) PLEASE HELP and explain! ill give brainliest if you do 9. Tell whether the table is a linear equation and explain why Which is a solution to the system of inequalities? y > - 2x + 5 ; 3x - 4y - 24 Steam Workshop Downloader