Write the equation of the line parallel to 2x - 6y = 12 that passes through the point ( -1, 4).​

Answers

Answer 1

Answer:

y = 1/3x + 4 1/3

Step-by-step explanation:

2x - 6y = 12

First find the slope

Solve for y

Subtract 2x

2x - 6y -2x= 12-2x

-6y = -2x+12

Divide by -6

-6y/-6 =-2x/-6 +12/-6

y = 1/3 x -2

The slope is 1/3

Parallel lines have the same slope

Using the slope intercept form y = mx+b where m is the slope and b is the y intercept

y = 1/3x +b

And substituting in the point

4 = 1/3 (-1) +b

4 = -1/3 +b

Add 1/3 to each side

4 + 1/3 = b

y = 1/3x + 4 1/3


Related Questions

13.555 to 1 decimal place

Answers

Answer:

13.6

Step-by-step explanation:

Since it is asking for 1 decimal place, we assume that it is the tenths decimal place. Since the hundredths decimal place is ≥5, we round up to 6.

There is no such thing as ones in decimals, so I am assuming you mean tenths. If you were to round this to the tenths place, the answer would be 13.6.

13.555 → 13.6 (4 and below, leave it alone. 5 and up, round it up)\

Hope this helps!

Which set of ordered pairs is not a function?
OA) (4, -2), (-2, 2), (2, -2), (4, 2)
OB, (-4, 2), (-2, 2), (2, 2), (4, 2)
OC) (-4, 2), (-2,-2), (2, 2), (4,2)
OD) (-4,-2), (-2,-2), (2, 2), (4,2)

Answers

Answer: OA) (4, -2), (-2, 2), (2, -2), (4, 2)

Step-by-step explanation:

Please help! Which table represents a linear function? (will give brainliest)

Answers

Answer:

The fourth one

Step-by-step explanation:

Only the first one x and y interval 1, 2. The rest aren't linear.

Answer:

Step-by-step explanation:

it is the fourth one

Which statement is true about the slope of the graphed line?

Answers

Answer:

the slope is 2/5

Step-by-step explanation:

you always do rise over run

(I am not sure what your choices are but I hope this helps:))

-AC<3

Answer: Slope is positive just took this

Step-by-step explanation:

plzzzz help asap!!! marking brainiest!!!

Answers

Answer:

see below

Step-by-step explanation:

3 ^ ( 6/5)

The base a is 3

The power is 6 which is b

the root is 5 which is c

[tex]\sqrt[5]{3^6}[/tex]

If fx=-4x2-3 please evaluate for f(8), listing the steps you take in order with their result. Find the inverse function f-1(x)

Answers

Answer:

A. -259

B. inverse function is 1/2 √(-x-3)

Step-by-step explanation:

Here, we want to find f(8)

Simply substitute x = 8 in the equation.

The equation is

f(x) = -4x^2 -3

So f(8) = -4(8)^2-3

f(8) = -256-3

f(8) = -259

Inverse of f(x) = -4x^2 -3

Simply equate this to m

m = -4x^2-3

-4x^2 = m + 3

x^2 = (m + 3)/-4

x^2 = -m/4 -3/4

x = √(-m-3)/4

x = 1/2√(-m-3)

Put back the value of x for m

x = 1/2 √(-x-3)

In 30 minutes, a television station plays 8.5 minutes of commercials and airs a cooking show for m minutes. Write an equation that gives the length of the cooking show that was aired during this 30-minute period. please help!!

Answers

Answer:

30-8.5=m

Step-by-step explanation:

You have to figure out how many minutes the ads were not playing, which is also how long the cooking show was playing, and to do this you simply subtract.

What is the approximate diameter of a sphere with a volume of 34 cm

Answers

Answer:

The diameter is 4cm

Step-by-step explanation:

Volume of a sphere is

[tex]V = \frac{4}{3} \pi {r}^{3} [/tex]

Where r is the radius

diameter = radius × 2

To find the diameter we must first find the radius

Volume = 34cm³

That's

[tex]34 = \frac{4}{3} \pi {r}^{3} \\ \\ 34 \times 3 = 4\pi {r}^{3} \\ \\ 102 = 4\pi {r}^{3} \\ {r}^{3} = \frac{102}{4} \pi \\ \\ r = \sqrt[3]{ \frac{51}{2\pi}} \\ \\ r = 2.01 \\ \\ r = 2.0 cm[/tex]

Diameter = 2 × 2cm

= 4cm

Hope this helps you

Answer:

The answer is 4

Step-by-step explanation:

What is the quotient? 36 divided by 6 –30 –6 6 30

Answers

[tex]\text{In this question, we're trying to find the quotient}\\\\\text{The quotient is basically the result or answer when you divide a number}\\\\\text{To find the quotient, divide 36 by 6}\\\\36\div6=6\\\\\boxed{\text{Answer: 6}}[/tex]

Answer:

6

Step-by-step explanation:

6x6=36 so, 36÷6=6

Which of the following is an arithmetic sequence that could be modeled by an explicit formula expressed as a linear function? A. −1, −8, −27, −64, −125, … B. −5, −2, 3, 10, 19, … C. −5, −1, 3, 7, 11, … D. 1/2, 1/4, 1/8, 1/16, 1/32, …

Answers

Answer:

C

Step-by-step explanation:

Given

- 5, - 1, 3, 7, 11

There is a common difference d between consecutive terms, that is

11 - 7 = 7 - 3 = 3 - (- 1) = - 1 - (- 5) = 4

This indicates the sequence is arithmetic with explicit formula

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 5 and d = 4 , thus

[tex]a_{n}[/tex] = - 5 + 4(n - 1) = - 5 + 4n - 4 = 4n - 9

A horizontal translation is used to move quadrilateral onto quadrilateral Z ′. Use the drop-down menus to describe the horizontal translation used.

Answers

Answer:

10 to the left I believe

Step-by-step explanation:

help with the answer of this problem i do not understand how to do it

Answers

20 hahahahahahahahahahahahaha

Cathy received a gift of $2,000 to buy a new car when she graduates in a year. She decides to use this money to purchase stock in a new, alternative energy company. Is this a good investment decisions?

A.No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.


B.Yes, because alternative energy companies guarantee investors a minimum yearly profit.


C.Yes, because the FDIC insures this type of investment.


D.No, she should have invested in technology instead.

Answers

Answer:

a. No, because she will need money a year from now. Generally, stocks are long term investments. It is very unlikely that she will get a return on her investment in a year.

Step-by-step explanation:

Stocks are a riskier investment in comparison to bonds, and may pay higher interest rates, but still require the investment to "sit" for a long period of time. Like a 3 month (APY of about .50%), 6 month (APY of about .30%), 8 month (APY of about .10%), etc. bond, stocks will not grow considerably in a short amount of time.

What is the area of triangle ABC?
3 square units
7 square units
11 square units
C 15 square units

Answers

Answer: 7 square units

Step-by-step explanation:

<!> Brainliest is appreciated! <!>

Which statement and reason best complete the proof ?

Answers

Answer:

Option D

Step-by-step explanation:

Segment BD = Segment BD by reflexive property.

And that will also complete the congruence by AAS postulate.

what is: 1/1+a+b^-1 + 1/1+b+c^-1 + 1/1+c+a^-1 please write the steps and explain

Answers

Step-by-step explanation:

The expression:

[tex]\frac{1}{1+a} + b^{-1} + \frac{1}{1+b} + c^{-1} + \frac{1}{1+c} + a^{-1}[/tex]

It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.

The second case is more plausible, given there are no values given for a, b, and c.

The expression can be rewritten as:

[tex]a^{-1}+b^{-1}+c^{-1} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]

When a number has an index of -1, it is the same as taking the reciprocal of the number.

That is;

[tex]a^{-1} = \frac{1}{a}[/tex]

Therefore, the whole expression gives:

[tex]\frac{1}{a} + \frac{1}{b} + \frac{1}{c} + \frac{1}{1+a} + \frac{1}{1+b} + \frac{1}{1+c}[/tex]

Taking the common denominator in the first three expressions, we have

[tex]\frac{a+b+c}{abc} + \frac{1}{1+a} +\frac{1}{1+b} + \frac{1}{1+c} \\[/tex]

It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.

The expression:

It is possible that there are values for a, b, and c, but are omitted. If this is not the case, then the expression can be rewritten in another form. These are about all that can be done.

The second case is more plausible, given there are no values given for a, b, and c.

The expression can be rewritten as:

When a number has an index of -1, it is the same as taking the reciprocal of the number.

That is;

Therefore, the whole expression gives:

Taking the common denominator in the first three expressions, we have

It is also possible to take the common denominator of the whole whole expression, this will however, make the expression look more tedious, rather than simple.

2. CHEMISTRY How many liters of 15% acid and
33% acid should be mixed to make 40 liters of 21%
acid solution?
Concentration
of Solution
Amount of
Solution (L)
Amount
of Acid
15%
33%
у
21%
40

Answers

Answer:  

        26²/₃ liters of 15% acid and 13¹/₃ liters of 33% acid

Step-by-step explanation:

Concentration            Amount of             Amount

of Solution                   Solution (L)             of Acid

    15%                                x                         0.15x

    33%                               y                         0.33y

    21%                              40                      0.21•40      

       

x + y = 40    ⇒  x = 40 - y

0.15x + 0.33y = 0.21•40

0.15(40 - y) + 0.33y = 0.21•40

6 - 0.15y + 0.33y = 8.4

  0.18y = 2.4

        y = 13¹/₃

x = 40 -  13¹/₃ = 26²/₃

HELP! PLEASE I NEED HELP

Answers

Hello there! :)

Answer:

y = -4x.

Step-by-step explanation:

Begin by finding the slope of the line using the slope formula:

[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Plug in two points on the graph. We can use the points (-1, 4) and (0, 0):

[tex]m = \frac{0 - 4}{0 - (-1)}[/tex]

Simplify:

m = -4.

Therefore, the equation of this line in slope-intercept form (y = mx + b) is:

y = -4x.

Required
1. A man counted his animals, 80 heads and 260 legs (ducks and goats). how many goats are there?

30
60
80
50​

Answers

Answer:

50

Step-by-step explanation:

d-nr of ducks

g- nr of goats

2*d+4*g=260

d+g=80            /*(-2)

2d+4g=260

-2d-2g=-160

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

      2g=100

      g=100/2

     g=50

Answer:

50

Option D is the correct option

Solution,

Let no.of ducks be X

Let no.of goats be y.

Total heads= X+y=80 ➡️ equation (i)

Total legs= 2x+4y=260➡️ equation (ii)

X= 80-y

[tex]2(80 - y) + 4y = 260 \\ or \: 160 - 2y + 4y = 260 \\ or \: 160 + 2y = 260 \\ or \: 2y = 260 - 160 \\ or \: 2y = 100 \\ or \: y = \frac{100}{2} \\ y = 50[/tex]

Number of goats= 50

Hope this helps...

Good luck on your assignment...

Match the solution set given in inequality notation with the solution set given in interval notation.

Answers

Answer:

x≤7.8  ⇒(-∞;7.8]

x<7.8  ⇒ (-∞;7.8)

x>7.8  ⇒ (7.8; ∞)

x≥7.8  ⇒ [7.8; ∞)

Step-by-step explanation:

Hi, to answer this question we have to analyze each expression:

• x≤7.8

The solution is all the numbers less or equal to 7.8, since it can be equal to 7.8, it includes 7.8 , we have to use closed brackets

(-∞;7.8]

• x<7.8

All the numbers less than 7.8 , it excludes the endpoint , it's an open interval (parenthesis)

(-∞;7.8)

• x>7.8

All the numbers higher than 7.8, open interval (parenthesis)

(7.8; ∞)

• x≥7.8

All the numbers higher or equal to 7.8, closed interval (closed brackets for the endpoint)

[7.8; ∞)

Answer:

Step-by-step explanation:

Can you add and subtract integers and surds together?

For example:
1. 2-2√6= √6
2. 25+ 5√5 + 5√5 +5= 40√5

or are the above examples wrong?

Answers

Answer:

Both of these examples are wrong. You cannot add/subtract integers and square roots together, however, you could add square roots together if they have the same number under the square root. For example, 2 - 2√6 will stay as 2 - 2√6 because they aren't like terms. 25 + 5√5 + 5√5 + 5 = 30 + 10√5 because 25 + 5 = 30 and 5√5 + 5√5 = 10√5. We can add 5√5 and 5√5 together because they have the same number under the square root. If we were to compute √2 + √3, we would just leave it as is because they don't have the same number under the square root.

Which ordered pair is a solution of the equation? 2x+4y=6x-y OPTION A: Only (4,5) OPTION B: Only (5,4) OPTION C Both A and B OPTION D None

Answers

Answer:

option b

Step-by-step explanation:

replace x and y with the x and y of the ordered pair

option a: 2(4)+4(5)=6(4)-5

solve

8+20=24-5

28=19  not true

option b:2(5)+4(4)=6(5)-4

solve

10+16=30-4

26=26  true

given that $1 = £0.72
a) how much is $410 in £
b) what is the £ to $ exchange rate

Answers

Step-by-step explanation:

a) $410 × £0.72 = £295.20

Helppp!!!! please!!!

Answers

Answer:

A) 348 square m

Step-by-step explanation:

Surface area of the figure

[tex] = 2(15 \times 6 + 6 \times 4 + 15 \times 4) \\ = 2(90 + 24 + 60) \\ = 2 \times 174 \\ = 348 \: {m}^{2} \\ [/tex]

A herd of cattle started with a population of 10,000 and was 20,000 after 10 years. If the population was growing exponentially, what was the growth rate?

Answers

Answer:

The growth rate is 7.2%

Step-by-step explanation:

First thing we need to do here is to set up an exponential equation;

This can be written as follows;

F = I(1 + r)^t

where F is the future value = 20,000

I is the initial value = 10,000

r is the rate in percent which we want to calculate

t is time in years = 10 years

Substituting the values in the question into the exponential equation, we have;

20,000 = 10,000(1 + r)^10

divide both side by 10,000

2 = (1+r)^10

Find the 10th root of both sides

1+ r = 2^(1/10)

1 + r = 1.07177346254

r = 1.07177346254-1 = 0.07177346253

Let’s approximate r as 0.072

Now this to percentage?

That would be 72/1000 * 100% = 7.2%

Explain how rays AB and AC from both a line and and angle.

Answers

Answer:

plz give brainliest

Step-by-step explanation:

Points A, B, and C lie on a line.

Point A is between points B and C.

Starting at point A and going past point B, you have ray AB.

Starting at point A and going past point C, you have ray AC.

If you think of angle BAC, it is a straight angle of 180 degrees.

You have the two rays AB and AC forming a line and an angle.

help with these questions please

Answers

Answer:

The mode = 24

Probability = 0.14

Probability = 0.74

Step-by-step explanation:

Mode is 24 because it has the highest frequency.

The probability of winning a score of 25 = 7/50 = 0.14 = 14%

Probability of winning sore of 23+ = 37/50 = 74% = 0.74

Hope this helps.

Good luck

Answer:

a) mode: 24

b) 14%

c) 74%

Step-by-step explanation:

a) had the most winning games that received that score.

b) 7/50

c) 37/50 10+14+7+4+2=37 total past 23.

37 past 23 divided by total amount 50=0.74 or 74%

the picture is the question​

Answers

Answer:

-4 points

Step-by-step explanation:

Since each incorrect answer is worth the same amount of negative points, use the equation below.

3x = -12      DIvide both sides by 3

x = -4 points  

The diagonal of a rectangular room is 52 ft long. One wall measures 28 ft longer than the adjacent wall. Find the dimensions of the room.

Answers

Answer:

The dimensions of the rectangular room is 48 ft by 20 ft

Step-by-step explanation:

Drawing a Diagonal line in a rectangle forms two right angle triangles

The diagonal line will represent the hypotenuse

In a right angle triangle:

Hypotenuse^2= adjacent^2+opposite^3

One wall measures 28 ft longer than the adjacent wall.

Let the adjacent=x ft

Opposite=28+x ft

Hypotenuse=52 ft

Hypotenuse^2= adjacent^2+opposite^3

52^2 = x^2 + (28+x)^2

2704 =x^2 + 784 + 56x + x^2

2704=2x^2+784+56x

2x^2+56x+784-2704=0

2x^2+56x-1920=0

Solve the quadratic equation using the quadratic formula

x= -b +or- √b^2-4ac / 2a

a=2

b=56

c=-1920

x= -b +or- √b^2-4ac / 2a

= -56 +or- √56^2 - (4)(2)(-1920) / (2)(2)

= -56 +or- √3136 - (-15,360) / 4

= -56 +or- √3136+15,360) / 4

= -56 +or - √ 18496/ 4

= -56 +or- 136 / 4

x= -56 + 136 / 4

=- 56/4 + 136/4

= -14+34

=20

OR

x= -56 - 136/4

= -56/4 - 136/4

= -14 - 34

= -48

The value of x can't be negative, so will use the positive value of x which is 20

Recall,

Adjacent=x

=20 ft

Opposite=28+x ft

=28+20

=48 ft

The dimensions of the rectangular room is 48 ft by 20 ft

what is the slope of the line containing the points (-3,7) and (3,3)

Answers

Answer:

m = -2/3

Step-by-step explanation:

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Simply plug in our coordinates into the formula:

m = (3 - 7)/(3 + 3)

m = -4/6

m = -2/3

Answer:

-2/3

Step-by-step explanation:

In order to find the slope, we need to find the change in y over change in x

For y: 7-3=4

For x: -3-3=-6

4/-6

We can simplify it into 2/-3

Other Questions
In a typical situation, emissions from which category of activities comprise the largest amount of CO2 release into the atmosphere? Can someone help me solve this question? I'd appreciate it! Thank you. After Luca took his dogs on a walk,he gave them 6 dog treats.When Luca dad got home from work he gave the dogs t more treats.All together the dogs got 10 treats The magnitude of the electric potential depends on which factors?O A. Mass and amount of chargeO B. Mass and distanceO C. Distance and amount of chargeO D. Density and amount of charge Consider the complex character Tajima Shume in Tajima. How do Tajimas actions and interactions advance the plot and develop a theme in the story? In your response, describe a theme of the story and explain how the author uses characterization to develop the theme and advance the plot. Use evidence from the text to support your response. Your response should be at least three complete paragraphs. Plants are unique because they have _____, which absorb light energy from the Sun. Which distribution is positively skewed? Humans breathe in oxygen and release ____ gas. When all firms earn zero economic profits producing the output level where P=MR=MC and P=AC and there is no incentive to leave or join the market, the market is in __________. Which are examples of binomials? Check all that apply. What is the objective of creating development regions in Nepal? When was it created? 11. Which of the following is not a cause of cell necrosis?InfectionBlood clotInjuryPerfusion Simplify 18. Help!!! I am on a test on ingenuity. 23 29 32 92 On January 1, 2018,MechanicsCredit Union (MCU)issued 8 %,20-yearbonds payable with face value of $ 200 comma 000.These bonds pay interest on June 30 and December 31. The issue price of the bonds is 106.Journalize the following bond transactions:A. Issuance of the bonds on January 1, 2018. B. Payment of interest and amortization on June 30, 2018. C. Payment of interest and amortization on December 31, 2018. D. Retirement of the bond at maturity on December 31, 2037, assuming the last interest payment has already been recorded. Which statement best reflects Millays attitude toward the seasons Michael Can skateboard 100 feet in 5.4 seconds how fast can Michael skateboard in miles per hour? Study this image.The Continental crust and Lithosphere on the right are moving left toward the Continental crust and Lithosphere on the left that are moving right and pushing down below the Asthenosphere. A layer of Ancient oceanic crust is beneath the Lithosphere on the right.Which feature forms at this plate boundary?mountainsrift valleysvolcanoesisland chai ols help and hurry ASAP Find m4+ 1/m4 , if m 1/m =3. Please help... I will give brainliest to the correct answer Predict what will happen to a fish if its gills are torn after being caught in a net.