What is the equation of the line parallel to 8x−16y=−14 and passing through (3,0)?
6x−12y=18
6x+12y=18
12x−6y=−18
12x+6y=18

Answers

Answer 1

Answer:

2y = x - 3

Step-by-step explanation:

Parallel lines can be defined as lines that do not intersect and as a result of this, parallel lines have the same slope but different intercepts.

Given the following data;

Points (x, y) = (3, 0)

Equation is 8x - 16y = -14

To find the equation of the line?

First of all, we would have to determine the slope of the line;

y = mx + c ......equation 1

8x - 16y = -14

Rearranging the equation, we have

16y = 8x + 14

Dividing through by 16, we have;

y = 8/16(x) + 14/16

y = 1/2(x) + 7/8

Therefore, the slope, m is 1/2

*To find the intercept*

Since the line is parallel we would use, m = 1/2

Substituting the values into equation 1, we have;

y = mx + c for x = 3 and y = 0

0 = 1/2(3) + c

c = -3/2

Re-writing the equation of line;

Slope, m = 1/2

Intercept, c = -3/2

y = 1/2(x) + (-3/2)

Multiplying all through by the lowest common denominator "2"

2y = x - 3


Related Questions

Lin knows that there are 4 quarts in a gallon. She wants to convert 6 quarts to a gallon, but cannot decide if she should multiply 6 by 4 or divide 6 by 4 to find her answer. What should she do? Explain or show your reasoning.

Answers

Given:

There are 4 quarts in a gallon.

She wants to convert 6 quarts to a gallon.

To find:

Whether she should multiply 6 by 4 or divide 6 by 4 to find her answer.

Solution:

We have,

[tex]4\text{ quarts}=1\text{ gallon}[/tex]

[tex]1\text{ quarts}=\dfrac{1}{4}\text{ gallon}[/tex]

[tex]6\text{ quarts}=\dfrac{6}{4}\text{ gallon}[/tex]

Here, 6 quarts is equal to [tex]\dfrac{6}{4}[/tex] gallon. It means we need to multiply 6 by 4 in [tex]4\text{ quarts}=1\text{ gallon}[/tex] to find the answer.

Here is a really fun assignment which my friend gave me:
Use the numbers below to get 6. You can use any operation, but you can't use ANY other numbers.
2,2,2 =
3,3,3 =
4,4,4 =
5,5,5 =
6,6,6 =
7,7,7 =
8,8,8 =
9,9,9 =

Answers

Answer:

2x2 = 4 + 2 = 6.

Step-by-step explanation:

Determine whether the graph could be the graph of a polynomial function. If it could be lost the real zeroes and states the least degree the polynomial can have.

Answers

Answer:

the graph is of a cubic function.

Step-by-step explanation:

f(x)= x^3. It should have at least one zero

The graph shows cubic polynomial.

What are Polynomial?

A polynomial is an equation that solely uses the operations of addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are also known as indeterminates.

Given:

In the graph the number of times the graph touches the x- axis it will have that many zeroes or solution for the polynomial.

The given graph touches the x-axis three times which shows the polynomial will have three solution and the degree of the polynomial is 3.

Hence, the graph shows cubic polynomial.

Learn more about cubic polynomial here:

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i really need help!!!! i need answer to c:

Answers

Answer:

76.3

Step-by-step explanation:

Answer:

C = 75°

Step-by-step explanation:

The interior angles of a triangle will always add up to 180°, so all we have to do is find the missing variable.  

To do this, we first add up the two angles we do know.

—> 65 + 40 = 105      

Now that we have the total of the other two angles, simply subtract 105 from 180.

—> 180 - 105 = 75

We now have our answer!

Selina has $50. She wants to buy some donuts which cost $2.80 each. How many donuts can she buy?

Answers

Answer:

50/2.80= 17

17 dounuts

Kailey correctly graphed the opposite of –3.3 on the number line.

A number line going from negative 5 to positive 5. Point A is between negative 4 and negative 3, point B is between negative 3 and negative 2, point C is at 3.3, and point D is at 3.9.

Which point could be the point Kailey graphed?

Answers

The opposite of -3.3 is 3.3, so she if she graphed correctly she graphed point C

The number line shows that Kailey could have graphed the point C (3.3).

Number Line

The number line is the graphic representation of real numbers whose center is represented by the number zero (0). The negative numbers are on the left side of the number line, on the other hand, the positive numbers are written on the right side. See the attached image.

Opposite Numbers

Opposite numbers are numbers that the distance to 0 is equal. The numbers are classified as the opposite when the sum between them is equal to zero (0).

STEP 1 -  Plot the number line

Plot the number line with the given limits: -5 to 5. See the attached image.

STEP 2 -  Plot the given points in the number line

Plot the points A, B,C an D in the number line drawn in step 1. See the attached image.

STEP 3 -  Analyse the plotted number line

Like the point graphed is the opposite of -3.3, Kailey could have plotted the point C which is at 3.3 since the sum between -3.3 and 3.3 is equal to zero (0).  

-3.3+3.3 =0

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graph y = 4x-9 please

Answers

Step-by-step explanation:

Just take two random points, always remember ,take x=0 and find his correspondent y

in this case y=4*0-9=-9

first point (0,-9)

second one:

take any x you want, I took 2 randomly, and y will be

y=4*2-9=8-9=-1

second point is (2,-1)

find these points on graph and connect them with a ruler ! And that is the line you are searching for!

We want to graph the line y = 4*x - 9.

The graph can be seen at the end of the answer.

To graph a given linear function, we need to find two points that belong to the function, and then connect them with a line.

To find the points we just evaluate the function in two different values of x, so let's do that.

For x = 0 we have:

y = 4*0 - 9 = -9

Then we have the point (0, -9)

For x = 1 we have:

y = 4*1 - 9 = 4 - 9 = -5

Then we have the point (1, -5)

Now we just can graph these two points on a coordinate axis, and connect them with a line.

The graph is shown below

If you want to learn more, you can read:

https://brainly.com/question/18196858

let f(x)= p+ 8/x-q. the line x=4 is a vertical asymptote to the graph of f. what is the value of q and p, if the y intercept is (0,4)?

Answers

Answer:

The value of q and p is 4 and -24  respectively.

Step-by-step explanation:

Being [tex]f(x)=\frac{p+8}{x-q}[/tex] , the line x=4 is a vertical asymptote to the graph of f(x).  The line r is an asymptote of a function if the graph of the function is infinitely close to the line r. That is, an asymptote is a line to which a function approaches indefinitely, without ever touching it.

Being a rational function that which can be expressed as the quotient of two polynomials, a vertical asymptote occurs when the denominator is 0, that is, where the function is not defined. In this case:

x - q= 0

Solving:

x= q

Being the line x=4 the vertical asymptote, then

4=q

Then the function f (x) is:

[tex]f(x)=y=\frac{p+8}{x-4}[/tex]

The y intercept is (0,4). This is, x= 0 and y=4. Replacing:

[tex]4=\frac{p+8}{0-4}[/tex]

Solving:

[tex]4=\frac{p+8}{-4}[/tex]

4*(-4)= p+8

-16= p+8

-16 - 8= p

-24= p

The value of q and p is 4 and -24  respectively.

f(n) = -n^3 – 4ng(n) =
-n +4Find: f(n) +g(n)

Answers

Answer:

-n^3 – 5n + 4

Step-by-step explanation:

f(n) = -n^3 – 4

g(n) =  -n +4

f(n)+ g(n) = (-n^3 – 4n)+(-n +4)

               = (-n^3 – 4n -n +4)

               = -n^3 – 5n +4

(92 - 12) – 4 = 2 (2 + for
4.0)
I

Answers

Answer:

Step-by-step explanation:

(92 - 12) – 4 = 2 (2 + for

4.0)

I

Which equation and solution represents each situation!
7. What number is 32% of 79?
A.n= 32.79: 2.528
B.32 = n. 79: 0.4
C.79=n.0.32: 246.9
D.n-0.32.79; 25.3

Answers

Answer:

If they're asking you to round, I'll choose D just because 25.28 is 25.3 rounded to the nearest tenth.

Step-by-step explanation:

79/x=100/32

(79/x)*x=(100/32)*x       - we multiply both sides of the equation by x

79=3.125*x       - we divide both sides of the equation by (3.125) to get x

79/3.125=x

25.28=x

x=25.28

Manny says that the diagram shows a centroid. Is he correct? Why or why not?

Answers

Answer:

WAT! What diagram???

Step-by-step explanation:

Answer: No, because the center pod is where the medians meet

I don't understand this​

Answers

Answer:

y=2/3x+3

Step-by-step explanation:

First, you would use the point slope formula : y₂-y₁/x₂-x₁

(5--3)/(3--9)

=8/12

=2/3

Then you would plug it back into the equation along with one of the points. Ex:

-3=2/3(-9)+b

-3=-6+b

3=b

So in conclusion, the formula would come out to y=2/3x+3

Hope this helps! :)

how many different 2-person conversations would happen at a party of 30 people

Answers

15 because simple division 30 divided by 2 is 15 only 15 can happen

9 = -d + 17

A.-2
B.8
C.10
D.-8

Answers

Subtract 17 from both sides

9= -d+17
9 - 17 = -d + 17 - 17

-8 = -d

Then divide.

-8/1 = -d-1

Cancel terms that are in both numerator and denominator

Answer:
8 = d
Pringles exposed for being nazi corporation? Here’s evidence for my claim

Just part A please as soonnn as possible I need help!!! Thanks!

Answers

Answer: -1 ≤ x ≤ 4.

Step-by-step explanation: To solve this problem, we first add 7 to the inequality: -4 ≤ 4x ≤ 16. Then we divide the entire equation by 4 to get -1 ≤ x ≤ 4.

answer plss. will mark the first correct answer as brainliest!!

n is an integer.
Write the values of n such that -15 < 3n<6

Answers

Answer:

(-1,-2, -3, -4)

Step-by-step explanation:

-15 < 3n <6

-15 < 3 (-1,-2, -3, -4) <6

3 • -1 = -3

3 • -2 = -6

3 • -3= - 9

3 • -4 = -12

so all these answer still make -15 the lowest value and 6 the highest value.

true or false, x =4 is a critical point to this inequality

x²-4 / x²+9x+20 is greater than/equal to 0

Answers

Answer:

true

Step-by-step explanation:

x²-4/x²+9x+20 >=0

cross multiplying the equation we have,

(x²-4/x²+9x+20)*x²+9x+20 >= 0*x²+9x+20

= x²-4>=0

x²>=4

taking the square root of both sides, we have:

√x²>= √4

x >=2

Help me witch these 4 questions and thanks

Answers

Answer:

1. f(n+1) = f(n) + 0.09

2. The correct answer is 403 = x. The student’s error is that she did not cancel out properly the constant by the inverse add ended to find the answer of the variable.

3. B

4. D 34 + 6(25.3)

Find the 54th term of the arithmetic sequence -7, -23, -39, ...

Answers

Answer:

-871

Step-by-step explanation:

Equation: -16x - 7

54th term: -16(54) - 7 = -864 - 7 = -871

Cameron has a bag of 50 gumdrops. There are 15 peach, 20 strawberry, 5 cherry, and 10 watermelon. Without looking, he picks a gumdrop, looks at it and puts it back, then chooses another without looking. What is the probability he will choose strawberry both times?

Answers

20/50 if they ask to simplify it is 2/5

All you have to do is take the amount and do probability like a fraction

HELP ME ANSWER THESE 2 QUESTIONS MY PARENTS ARE ABOUT TO PUNISH ME IF I DONT DO IT (SHOW WORK OR ANSWER WILL NOT COUNT)

Answers

Answer:

what are the questions hurry and tell me

What do you have to increase a number by to change it's place value

Answers

Answer:

Build more buildings

Step-by-step explanation:

Answer:

change by a tenth to hundredth to thousandth to the millionth

Step-by-step explanation:

Find the area of this trapezoid. Be sure to include the correct unit in your answer.

Answers

I’m not completely sure but I think that’s it’s 50cm^2

Will give brainiest
Surds
Step by step explanation please on this question
Make sure to use Surds

Answers

Answer:

3

Step-by-step explanation:

You need to multiple 3 by 3 because 3 has an exponent. That makes the 3 into a 9. the square root of 9 is 3 so the answer is 3

an object travels at 20 m/s for 20 seconds. how far has it traveled?

Answers

Answer:

400 meters

Step-by-step explanation:

So it goes 20 meters every second. So you would multiply that by 20 seconds to get 400 meters.

Simplify.
(8) = 81
DONE

Answers

Answer:

What are we supposed to simplify? 8/81?

Step-by-step explanation:

Reba needs to simplify the expression below.

6 and one-half + 3.5 times 2 minus 7 divided by 3

Which operation should she perform first?

Answers

Answer:

she should preform division

Step-by-step explanation:

Answer:

Actually, it's C multiplication Cutty you can't be giving Wrong answers.

Step-by-step explanation:

It's C Multiplication because Were using the PEMDAS technique and this stands for

P- Parenthesis

E- Exponents

M- Multiplication

D- Division

A- Addition

S- Subtraction

So if you see in the Pemdas technique It will be C Multiplication.

Graph this line using the slope and y-intercept:
y=9/10x+1

Answers

Answer:

Step-by-step explanation:

y=mx+b

m is slope

b is y-intercept

slope is 9/10

y-intercept is 1

any of these would be helpful to know the answer to

Answers

Answer:

Question 8: w=7200

Step-by-step explanation:

2400/2=1200 is c is 1 so 1200x6=7200

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