What is the equation of the line parallel to 3x + 5y = 11 that passes through the point (15, 4)?

Answers

Answer 1

Answer:

The answer is

[tex]y = - \frac{3}{5} x + 13[/tex]

Step-by-step explanation:

Equation of a line is y = mx + c

where

m is the slope

c is the y intercept

To find the equation of the parallel line we must first find the slope of the original line

The original line is 3x + 5y = 11

We must first write the equation in the general equation above

So we have

5y = - 3x + 11

Divide both sides by 5

[tex]y = - \frac{ 3}{5} x + \frac{11}{5} [/tex]

Comparing with the general equation above

Slope = - 3/5

Since the lines are parallel their slope are also the same

Slope of parallel line = - 3/5

So the equation of the line using point

(15, 4) and slope - 3/5 is

[tex]y - 4 = - \frac{3}{5} (x - 15) \\y - 4 = - \frac{3}{5} x + 9 \\ y = - \frac{3}{5} x + 9 + 4[/tex]

We have the final answer as

[tex]y = - \frac{3}{5} x + 13[/tex]

Hope this helps you

Answer 2

Answer:D

Step-by-step explanation:Edge


Related Questions

Find the population mean or sample mean as indicated.Sample: 19, 15, 6, 11, 24Required:Compute the sample mean for this data set.

Answers

Answer:

The sample mean is 15.

Step-by-step explanation:

We have given data 19, 15, 6, 11, 24.

We are required to find the sample mean. The sample mean can be determined by adding all the given value and then divide by the total numbers or how many numbers. Below is the calculation of the mean.

Sample mean = (19+ 15 +6 +11 +24) / 5

Sample mean = 75 / 5

Sample mean = 15

Therefore the sample mean of the given data is 15.




Plot the point then draw the shape
they create. What shape does it
create?
(2,5)
(7, 1)
(5,5-)
(-1,-5)
(-3,1)

Answers

I drew a graph and plotted the coordinates. a hexagon is the shape u will get

what is the 3rd square root of 1000

Answers

Answer:

10

Step-by-step explanation:

The third square root is the cube root. This means we are looking for the number that multiplies by itself 3 times to get to 1000, which is 10. (10x10x10=1000)

Hope this helped!

What is represented by the number below the abbreviation of the element in the periodic table? The atomic mass The atomic number The melting point The valence number​

Answers

Answer:

Atomic Mass

Step-by-step explanation:

Correct answer as per the test

The abbreviation of the element in the periodic table will be atomic number. Then the correct option is B.

What is a periodic table?

An arrangement of atoms by their atomic numbers, often in rows, such that atoms with comparable atomic structures (and thus comparable chemical characteristics) are shown in vertical slats.

The abbreviation of the element in the periodic table will be atomic number.

Then the correct option is B.

More about the periodic table link is given below.

https://brainly.com/question/11155928

#SPJ2

15 = x + 13
which property could be used to solve this equation

Answers

Steps to solve:

15 = x + 13

~Subtract 13 to both sides

2 = x

Best of Luck!

which fraction represents 56 shares evenly distributed among 12 people

Answers

Answer:

14/3

Step-by-step explanation:

When 56 shares are evenly distributed between 12 people, each person gets equal number of shares.

The number of shares gotten by each person is the ratio of the total number of shares to the total number of people. It is given by the formula:

number of shares gotten by each person = total number of shares / total number of people

number of shares gotten by each person = 56 shares / 12 people

number of shares gotten by each person = 14/3 shares

plz help quicky.......................................

Answers

Person in comments said - 1.A 2. A 3. C 4. A

Find the point (x1,x2) that lies on the line x1 +5x2 =7 and on the line x1 - 2x2 = -2.

Answers

Given :

Two equation [tex]x_1 +5x_2 =7[/tex] and [tex]x_1 - 2x_2 = -2[/tex] .

To Find :

The point of intersection of these lines .

Solution :

We will use elimination method :

From equation 1 :

[tex]x_1=7-5x_2[/tex]

Putting value of [tex]x_1[/tex] in equation 2 we get :

[tex](7-5x_2)-2x_2=-2\\\\7-7x_2=-2\\\\x_2=\dfrac{9}{7}[/tex]

Putting value of [tex]x_2[/tex] in equation 1 we get :

[tex]x_1+5\times \dfrac{9}{7}=7\\\\x_1=\dfrac{4}{7}[/tex]

Therefore , point of interaction is [tex](\dfrac{4}{7},\dfrac{9}{7})[/tex] .

Hence , this is the required solution .

The point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]

We will solve the given system of equations.

Subtract the second equation from the first one:

[tex]\left(x_{1}+5x_{2}\right)-\left(x_{1}-2x_{2}\right)=7-\left(-2\right)\\x_{1}+5x_{2}-x_{1}+2x_{2}=7+2\\7x_{2}=9\\x_{2}=\frac{9}{7}[/tex]

Then we plug [tex]x_{2}=\frac{9}{7}[/tex] in the given first equation.

[tex]x_{1}+5x_{2}=7\\x_{1}+5\left(\frac{9}{7}\right)=7\\x_{1}+\frac{45}{7}=7\\x_{1}=7-\frac{45}{7}\\x_{1}=\frac{4}{7}[/tex]

So the point is: [tex]\left(x_{1},x_{2}\right)=\left(\frac{4}{7},\frac{9}{7}\right)[/tex]

Learn more: https://brainly.com/question/16236436

A local brewery produces three premium lagers named Half Pint, XXX, and Dark Night. Of its premium lagers, they bottle 40% Half Pint, 40% XXX, and 20% Dark Night lagers. In a marketing test of a sample of consumers, 27 preferred the Half Pint lager, 29 preferred the XXX lager, and 24 preferred the Dark Night lager. Using a chi-square goodness-of-fit test, decide to retain or reject the null hypothesis that production of the premium lagers matches these consumer preferences using a 0.05 level of significance. State the value of the test statistic. (Round your answer to two decimal places.) $ \chi_{obt}^2 $

Answers

Answer:

reject the null hypothesis

Step-by-step explanation:

Total observation = 27+49+24 = 100

Expected Frequency :

Half Pint = 100 × 0.4 = 40

XXX = 100 × 0.4 = 40

Dark night = 100 × 0.2 = 20

The Chi-square goodness-of-fit test can be computed as follows:

             Observed              Expected                  [tex]X^2 = \dfrac{(O- E)^2}{E}[/tex]

            Frequency(O)         Frequency (E)

Half-       27                            40                                 4.225      

Pint

XXX       29                           40                                  3.025

Dark-       24                          20                                  0.8

night

Total      100                         100                                 8.05

The test statistics [tex]X^2[/tex] = 8.05

8.05

degree of freedom = n -1

degree of freedom =  3 - 1

degree of freedom =  2

The p-value can be computed by using the EXCEL FORMULA (=CHIDIST(8.05,2)

p-value = 0.01786

Since the p-value is less than the level of significance, we reject the null hypothesis

Also using the critical value approach from the EXCEL FUNCTION;

critical chi-square  (=CHIINV(0.05,2) = 5.99

[tex]X^2 > 5.99[/tex], therefore, we reject the null hypothesis

driving 85 miles in 5/6 of a hour how many miles per hour

Answers

Hey there! I'm happy to help!

To get 5/6 to 1, you multiply by 6/5. This means that to see your mph, you multiply 85 by 6/5!

85(6/5)=102

The speed is 102 mph.

Have a wonderful day! :D

Guess and win math cash 0 and 99999

Answers

Answer:

12345

Step-by-step explanation:

乁[ ◕ ᴥ ◕ ]ㄏฅ^•ﻌ•^ฅ▼・ᴥ・▼

0-99999

(IT COULd Be aNy?) This writing was a joke. BUT WHAT IS THE ANSWER!!!!!!!!

Which type of cell contains Cell Membrane?

Answers

Answer:

Eukaryotic cells contain cell membrane!

63x^12-35x^6 help pls

Answers

Answer:

7x^6×(9×^6-5)

Step-by-step explanation:

63x^12-35x^6

7x^6×(9×^6-5)

Answer:I dont know

Step-by-step explanation: Can you pls rate this good I am in 2 grade

a rectangle is 41 cm on one side and 12 cm on the other side.what is the perimeter?

Answers

Answer: 106cm

Explanation: (L+W)2
(41+12)2
82+24=106

Answer:

106

Step-by-step explanation:


a. Plot 13.58 on a number line on which the long
tick marks are whole numbers.
b. Plot 0.193 on a number line on which the long
tick marks are tenths.
c. Plot 26.9999 on a number line on which the
long tick marks are thousandths.

Answers

Answer:

Se attached for plots and here is position of the numbers:

a. Plot 13.58 on a number line on which the long

tick marks are whole numbers.

13 < 13.58 < 14

b. Plot 0.193 on a number line on which the long

tick marks are tenths.

0.1 < 0.193 < 0.2

c. Plot 26.9999 on a number line on which the

long tick marks are thousandths.

26.999 < 26.9999 < 27.000

A blueprint for a building includes a rectangular room that measures 3 inches long and 5.5 inches wide. The scale for the blueprint says that 1 inch on the blueprint is equivalent to 10 feet in the actual building. The actual dimensions of the building are 30 feet long by 55 feet wide. true or false

Answers

1 inch = 10 feet.

3 inches x 10 = 30 feet

5.5 inches x 10 = 55 feet

The actual room is 30 feet x 55 feet.

The answer is true.

Answer:

Round up to the Nernst number

Step-by-step explanation:

45 inches

this is rlly easy but im lazy and dont wana answer it, i mark brainliesttttt tyyy ❤️

Answers

Answer:

C and D is correct

Step-by-step explanation:

C: Debit is negative, and if you add 27 to -14, you get 13 which is Maria's account.

D: Its the same thing but opposite. 13 minus 27 is -14.

Hope it helps

Answer:

both c and d

Step-by-step explanatioin

nobody is answering my question so im saving up like 100 points so someone will actually do it so ye

PLEASE HELP ME I WILL MARK AS BRAINLIEST ANSWER

A map has a scale of
6 in=12 mi. If you measured the distance between two cities to
be 22 in. on the map, how many miles would it actually be?
If necessary, round your answer to the nearest tenth.

Answers

Answer:

The answer is 264

Step-by-step explanation:

We start with a ratio of inches to miles-        6:12

we see that it can be simplified to                  1:2

if we see that on the map it is 22in,             22:?

we got 1 to 22 by multiplying 1*22=22

do the same to the 12: 12*22=264

how do i estimate .48

Answers

To estimate, we can round to the nearest tenth.

How to round:

5 and above, round up.

4 and below, round down.

0.48 -> 0.5

Best of Luck!

3
Type the correct answer in each box. Use numerals instead of words.
Complete the table of inputs and outputs for the function.
f(x) = -5(x + 7)
-9
0
0
-60
Reset
Next

Answers

Answer:

(-9,10),(-7,0)(0,-35)(5,-60)

Step-by-step explanation:

David and Amrita had an equal number of marbles. After Amrita gave 50 marbles to David, he had 5 times as many marbles as her. Find the total number of marbles they had.

Answers

Answer:

Step-by-step explanation:

a = d before Anna gives away 50 marbles.

 

5 (a-50) = a +50 after Anna gives away 50 marbles.

 

5a - 250 = a + 50

 

4a = 300

 

a = 75

 

Anna has 75 marbles at the beginning and so did David.

 

Together they have 150 marbles.

:)

Answer:

150

Step-by-step explanation:

Originally, they had the same number, so they both had x marbles each.

David: x

Amrita: x

Amrita gives 50 marbles to David. Now they have:

David: x + 50

Amrita: x - 50

"he had 5 times as many marbles as her"

x + 50 = 5(x - 50)

x + 50 = 5x - 250

-4x = -300

x = 75

Each had 75 marbles to start with.

75 + 75 = 150

The total is 150.

Frank needs 3.6 meters of ribbon to wrap gifts for friends this year. If each spool contains 90 cm of ribbon,how many spools will Frank need to purchase?

Answers

Answer:a lot

Step-by-step explanation:

4+y when y = 18 would the answer be 22

Answers

Yes you are correct.

You replace y with 18 to get 4+y = 4+18 = 22.

Find the area and perimeter of a court with dimensions of 50ft by 84ft.

Answers

Answer:

Area: 4200

Perimeter: 268

Step-by-step explanation:

To find the area, multiply length and width (50 x 84)

To find perimeter, add up the lengths of all the sides (50+50+84+84)

Hope this helps!

Ahmed wrote two numbers the first number has a seven and it’s tenths place the second number has a seven with a value that is 1000 times greater than the value of the seven in the first in which place is a seven and the second number

Answers

Answer: I think the answer is thousands

Step-by-step explanation:

Answer:

100,000

Step-by-step explanation:

first # = 70, 2 digits

second # = 1,000 times greater than 70  1,000 = 4 digits

4 + 2 = 6, 100,000 = 6 digits

Help i dont understand Pls help :( Given g(x)=-4x-2g(x)=−4x−2, find g(-2)g(−2).

Answers

Answer:

[tex]g(-2)=6[/tex]

Step-by-step explanation:

Hi again!

So we have the equation:

[tex]g(x)=-4x-2[/tex]

To find g(-2), substitute -2 for x. Thus:

[tex]g(-2)=-4(-2)-2[/tex]

Multiply. -4 times -2 is positive 8:

[tex]g(-2)=8-2[/tex]

Subtract:

[tex]g(-2)=6[/tex]

And we're done!

A car drives with an average velocity of 20.1 m/s . After some time, it has traveled 34.2 km. How long has the car been traveling?

Answers

Answer:

time = distance / velocity

time = 34,200 meters / 20.1 meters per second

time = 1,701.4925373134 seconds

time = 28.36 minutes

 

Step-by-step explanation:

Solve for x: 3(x + 1) = −2(x − 1) − 4. (1 point)

Answers

Answer:

X=2.5 (btw im a rising 5th grader just saying) i hope i helped u

Step-by-step explanation:

3x+3=-2x+2-4      (get rid of the parenthesis)

+2x      +2x             (get rid of 2x)

5x+3=2-4

+4       +4                (get rid of 4)

5x+7=2

-7    -7                      (get rid of 7)

5x=2

5/2=2.5                   (solve)

Pretty sure the answer is X=-5

The temperature in a town is 24.8 during the day and -8.1 at night. Find the difference in the temperatures.

Answers

The difference is exactly 32.9 degrees

historians label an event as a turning point when it​

Answers

Answer:

F

Step-by-step explanation:

Answer:

Historians label an event as a turning point when it​ marks the beginning of a distant historical period

Step-by-step explanation:

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