Write the equation of the line parallel to y=1/4 x+6 that passes through the point (-4, 3) in slope-intercept form.

Answers

Answer 1

Answer: y=1/4x + 4  

Step-by-step explanation:

Parallel lines have the same slopes but different y-intercepts so the new equation will obtain the same slope as the line y= 1/4x + 6  and the slope is 1/4 so we need to use the given coordinate to find the y-intercept to write the equation.

(-4,3)  the x coordinate is -4 and the y coordinate is 3

3 = 1/4(-4) + b  

3 = -1 + b

+1   +1

b= 4  

The y intercept is 4 so the equation will be y=1/4x + 4


Related Questions

3x4y + 2xy - 7x + 9
The answer

Answers

12xy+2yx–7x+9
(12xy+2xy)–7x+9
the answer is
14xy–7x+9

6 Friends all use two dollars off coupon to buy them selves movie tickets they spend a total of $42 what is the price of one movie ticket without the coupon

Answers

Answer:

The answer is $7

Step-by-step explanation:

The answer is $7 because $42 divided by 6 = 7.

Answer:

The price of one movie ticket without a coupon would be $9.

Step-by-step explanation:

one movie ticket: x

$42 = 6(x- 2)

$42 = 6x- $12

Move the 12 to the other side.

 42  = 6x  - 12

+ 12            +12

____________

 54  = 6x

Now divide 6 from both sides.

  [tex]\frac{54}{6}[/tex] = [tex]\frac{6x}{6}[/tex]

  9 = x

3x^2 - 4x = 2

I have to solve the equation using the quadratic formula then write the answer in simplest form

Despite my many efforts, it's still marked as wrong, and photomath didnt get it right, either.​

Answers

Answer:

Step-by-step explanation:

3x^2 - 4x - 2 = 0

4/6 + (sqrt(16 - 4(3)(-2)))/6

2/3 + (sqrt(16+24))/6

2/3 + (sqrt(40))/6

2/3 + 2(sqrt(10)/6

2/3 + (sqrt(10))/3

Answer:

[tex]x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3} [/tex]

Step-by-step explanation:

3x² - 4x - 2 = 0

Using the quadratic formula

That's

[tex]x = \frac{ - b\pm \sqrt{ {b}^{2} - 4ac } }{2a} [/tex]

From the question

a = 3 , b = - 4 , c = - 2

So we have

[tex] x = \frac{ - - 4\pm \sqrt{( { - 4})^{2} - 4(3)( - 2)} }{2(3)} \\ x = \frac{4\pm \sqrt{16 + 24} }{6} \\ x = \frac{4\pm \sqrt{40} }{6} \\ x = \frac{4\pm2 \sqrt{10} }{6} \\ x = \frac{4}{6} \pm \frac{ 2\sqrt{10} }{6} \\ x = \frac{2}{3} \pm \frac{ \sqrt{10} }{3} \\ x = \frac{2\pm \sqrt{10} }{3} [/tex]

We have the final answer as

[tex]x = \frac{2 + \sqrt{10} }{3} \: \: \: or \: \: \: x = \frac{2 - \sqrt{10} }{3} [/tex]

Hope this helps you

Which expression is equivalent to the given expression after using the distributive property?
9(x + 3) + 15x
9 · x + 9 · 3 + 15x
9(x + 3 + 15)x
9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x

Answers

Answer:

the answer is b 9 · x + 9 · 3 + 15x

The expression 9(x + 3) + 15x is equivalent to the given expression.

Given,

9(x + 3) + 15x = 9 · x + 9 · 3 + 15x

9(x + 3 + 15)x = 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x

We need to find which expression is equivalent to the given expression after using the distributive property.

What is distributive property?

We have the distributive property of multiplication over addition and subtraction.

Example:

- distributive property of multiplication over addition

= a x ( b + c )

= a x b + a x c

- distributive property of multiplication over addition and subtraction.

= a x ( b - c )

= a x b - a x c

Find the expression using the distributive property.

We have,

- 9(x + 3) + 15x

= 9 · x + 9 · 3 + 15x

This is equivalent to 9 · x + 9 · 3 + 15x

- 9(x + 3 + 15)x

= ( 9 · x + 9 · 3 + 9 · 15 ) x
= 9 . x . x + 9 . 3 . x + 9 . 15 . x

This is not equivalent to 9 · x + 9 · 3 + 9 · 15x 9 · x + 3 + 15x

Thus the expression 9(x + 3) + 15x is equivalent to the given expression.

Learn more about application of the distributive property here:

https://brainly.com/question/225641

#SPJ2

10 POINTTSSS answer fast The formula a = m − n represents the actual cost, a, of an item with original price m after a coupon for n dollars off is applied. Solve the formula for the amount of the coupon. Group of answer choices n=m−a n = a − m n = −m − a n=a+m

Answers

Answer:

n = m - a

Step-by-step explanation:

Given:

a = m − n

Where,

Actual cost of the item = a

Original price of the item = m

Amount of Coupon = n

Solve the formula for the amount of the coupon

Making n the subject

a = m − n

Subtract m from both sides

a - m = m - n - m

a - m = - n

Divide both sides by -1

(a - m) / -1 = -n / -1

- a + m = n

Can also be written as

n = m - a

11. Tom is making a triangular enclosure in his yard. He plans on using two old fence posts as vertices, and will place a new fence post for the third vertex. The old posts are located at (- 5, 4) and (2, 6) , where the coordinates are given in feet. If he has 25 feet total of wire fencing available to close off the area , how much wire fencing will he have left, after he connects the two posts he has already placed ?

Answers

Answer:

18 Feet of fencing

Step-by-step explanation:

hope this helps

Solve for w.

-24= -8w​

Answers

Answer: w = 3

-24 / -8 = 3

Solve for (-7)-9-((-4)-1)

Answers

Answer:

The answer is negative 11

Step-by-step explanation:

Answer:

-11

Step-by-step explanation:

(-7)-9-((-4)-1)

-16-(-4-1)=-11

-16-(-5)=-11

-16+5=-11

-11

Also you can use the app called Microsoft Math Solver, it helps alot. :)

How long does it take my mom to walk 5 meters if she is travelling at a speed of 1 km/h. (Hint: to change metres to kilometres divide the metres by 1000)​

Answers

Answer:

0.005 hours

Step-by-step explanation:

1km per hour = 1000m per hour

5 divide 1000

0.005 hours

Simplify to 0.3 minutes (x60) or seconds (x60 again) 18 seconds

Hope this helps

What is the value of x? x=int(13.25 + 4/2) *​

Answers

15.25 is the answer of the question

The value of x is x = int(13.25 + 4/2) is 15

Integers are negative or positive whole numbers. Given the expression for x,  x=int(13.25 + 4/2)

This means that we are to express  the result of x as an integer

Solving the expression 13.25 + 4/2

[tex]=13.25+\frac{4}{2} \\=13.25 + 2\\=15.25\\[/tex]

In order to convert this result into an integer, we will approximate it to the nearest whole number. Hence:

[tex]x=int(15.25)\\x \approx 15[/tex]

This shows that the value of x is x = int(13.25 + 4/2) is 15

Learn more here: https://brainly.com/question/22309443

3p + 7 = -4(4 - 6p) + 2

Answers

p=1

Step-by-step explanation:

[tex]3p + 7 = - 4(4 - 6p) + 2 \\ 3p + 7 = - 16 + 24p + 2 \\ 3p - 24p = - 16 + 2 - 7 \\ - 21p = - 21[/tex]

[tex] \frac{ - 21p}{ - 21} = \frac{ - 21}{ - 21} \\ p = 1[/tex]

Answer:

p = 1

Step-by-step explanation:

Given

3p + 7 = - 4(4 - 6p) + 2 ← distribute and simplify right side

3p + 7 = - 16 + 24p + 2

3p + 7 = 24p - 14 ( subtract 3p from both sides )

7 = 21p - 14 ( add 14 to both sides )

21 = 21p ( divide both sides by 21 )

1 = p , that is p = 1

Use the drop-down menus to complete each equation so the statement about its solution is true. No Solutions 8x – 2 – 5x + 7 = x + One Solution 8x – 2 – 5x + 7 = x + Infinitely Many Solutions 8x – 2 – 5x + 7 = x +

Answers

No solution is 3x + 4

One solution is 2x + 4

Infinitely many solution is 3x + 5

Step-by-step explanation:

What is the Answer to 3m+4n

Answers

Answer:

7mn

Step-by-step explanation:

3 + 4 is 7

m + n is mn

7mn

How many millions are in a trillion?

Answers

10000 millions or 999 billion is 1 trillion

x is greater than -9 and less than or equal to 4 use x only once in your inequality

Answers

Answer:

4≤x>-9

Step-by-step explanation:

Choose the inequality that represents the following graph.

Answers

Answer:

The inequality that represents the second graph is:  [tex]x\leq3[/tex]

Step-by-step explanation:

From the second number line, you can see that the circle is closed on positive 3 and the arrow is pointing left - the direction of negative numbers, so you know that the value of x must be less than or equal to 3. Thus, you can write the inequality: [tex]x\leq3[/tex] - X is less than or equal to 3

Hope this helps!

A group of 6 students was asked, " How many hours did you watch television last week?" Here are their responses 17 , 15 , 5 , 8 , 20 , 20 Find the mean number of hours for these students. If necessary, round your answer to the nearest tenth.

Answers

Answer:15 hours

Step-by-step explanation:

15+5=20

20+20=40

13+17=30

Add

90 hours

90÷6= 15

15 hours

Is the function in the graph non linear?

Answers

Yes - if it were linear it would have be a straight line.

Answer:

B (yes, bc it does not have a constant rate of change)

Step-by-step explanation:

Write each expression using exponents x·x·x·x·y·y

Answers

Answer:

x^4*y^2

Step-by-step explanation:

Whenever you multiply a number by itself, add one to its power. X is actually x^1, but we don't write that. Keep on adding 1 to the power for every x you multiply together and do the same thing for y. You will get x^4*y^2 as the answer.

Answer:

x^4y^2

Step-by-step explanation:

because you have 4 x so you put x^4 and you have 2 y so you do y^2 which the answer is x^4y^2

Help!! Short and sweet question any help is appreciated!

Answers

Ans: Option 2
(-infinity, -5]

Answer: 2nd option

Step-by-step explanation: Infinity and beyond

A cylinder has a volume of 120 cubic inches and a radius
of 6 inches. What is the height of the cylinder rounded to
the nearest inch?

Answers

Answer:

1 inch

Step-by-step explanation:

The path of a rotation is defined by a

Answers

Axis

Step-by-step explanation:

A rotation is a circular movement of an object around a center (or point) of rotation. A three-dimensional object can always be rotated about an infinite number of imaginary lines called rotation axes . If the axis passes through the body's center of mass, the body is said to rotate upon itself, or spin. A rotation around an external point, e.g. the planet Earth around the Sun, is called a revolution or orbital revolution, typically when it is produced by gravity. The axis is called a pole.

- 9y2 (2y2 + 3y - 9)

Answers

Answer:

=−18y4−27y3+81y2

Step-by-step explanation:

− y 2 − 8 y + 21

Hope this helped!!!

Find the value of c and YZ if Y is between X and Z.
XY = 5.5. YZ = 2c. XZ = 8.9
Ć
YZ
IN

Answers

Answer:

c=3•6 between xy andxz is7•2

what is the remainder when 31,671 divided by 68

Answers

Answer:

51

Step-by-step explanation:

Step 1:

31,671/68 = 465.75

Step 2:

31671 - 31620 = 51

Answer:

51

Hope This Helps :)

Answer:

51

Step-by-step explanation:

please help me. I need to Convert 4.57 hectograms to milligrams.

Answers

Answer:

457000

Step-by-step explanation:

You are multiplying hectograms by 100000  in order to convert it into milligrams

twice the sum of a number and 400. Translate the verbal expression into an algebraic expression plz

Answers

Answer:

(a+b) ^2=400

Step-by-step explanation:

Follow me for more answers If you like my way of solving

  The length of a rectangle is twice the width. The area of the rectangle is 96 square units. Notice that you can divide the rectangle into two squares with equal area. How can you estimate the side length of each​ square? Estimate the length and width of the rectangle.

Answers

Answer:

The estimate part is D or the square root of 48 and the rectangle is 13.8 units long and 6.9 units wide. Have Fun on Savvas Bro

Step-by-step explanation:

The required answer is,

Width of the rectangle = 6.325 units

Length of the rectangle = 12.65 units

Side length of the square the 6.325 units.

What is rectangle?

A plane figure with four straight sides and four right angles, especially one with unequal adjacent sides, in contrast to a square.

Now it is given that,

The length of a rectangle is twice the width. The area of the rectangle is 96 square units.

The area of the rectangle = Length × Width

Length = 2W

96 square units = 2W × W

96 = 2W²

W² = 96/2

W² = 48

W = √48

Width of the rectangle = 6.928203 units

Approximately = 6.928 units

Now,

Length = 2 × Width

            = 2 × 6.928

            = 13.86 units

• Now,we need to divide the rectangle into two squares with equal area, and estimate the side length of each​ square,

When we divide a rectangle into 2 squares,

The length is divided into two.

Hence, the length of the rectangle = 13.86 units

13.86 units ÷ 2 = 6.928 units.

Hence, the side length of the square the 6.928 units.

More about rectangle and square :

https://brainly.com/question/18559001

#SPJ2

Point M is on line segment LN. Given LN = 2x - 5, MN= x - 1, and LM = 3, determine the numerical length of LN.​

Answers

Answer: 9

Step-by-step explanation: 3 is one half of the line and x-1 is the other. 2x-5 is the whole line so 3+x-1=2x-5 is our equation. Solve for x and you get 7. Then replace x with 7 in 2x-5 and you will get an answer of 9.

The numerical length of LN is 7 units.

It is required to determine the numerical length of LN.​

What is midpoint ?

The midpoint is the middle point of a line segment. It is equidistant from both endpoints, and it is the centroid both of the segment and of the endpoints. It bisects the segment.

Given :

Point M is on line segment LN.

LM = 3

LN = 2x-5

MN = x-1

Use the Segment Addition Postulate:

L------------M--------------------------N

LM + MN = LN

3 + x-1 = 2x-5

2+5=2x-x

7=x

Hence, the numerical length of LN is 7 units.

Learn more about midpoint here:

https://brainly.com/question/17404643

#SPJ2

Consider the diagram shown below.
А
B
m
С
D
Which of the following statements best describes the construction in the diagram?
O AB || CD.
O ABCD
0 C is the midpoint of m.
OD is the midpoint of m.

Answers

Answer:

The correct option is;

[tex]\overline{AB} \cong \overline{CD}[/tex]

Step-by-step explanation:

From the diagram, we have that the segment [tex]\overline {AB}[/tex] is given as the measured distance between the points A and B while the measured segment [tex]\overline {CD}[/tex] is constructed on the line m, starting from a point C and using a compass whose width is adjusted to the length of the segment [tex]\overline {AB}[/tex] and with the metal tip of the compass placed at C, to draw an arc the crossed the line m at a point which is then marked and labelled as then point D

Therefore the length of the segment [tex]\overline {AB}[/tex] is equal to the length of the segment [tex]\overline {CD}[/tex] and the relation is expressed as [tex]\overline{AB} \cong \overline{CD}[/tex].

Other Questions
The image below is a model showing how chromosomes and DNA are structured within a cell.WXYZWhich letter represents a gene? What are examples of foreshadowing that occur in 'The Sniper'? Plz help me with this Dion is laying brick down to make a patio. He plans for the patio to be 8.75 feet by 14.8 feet. He orders enough brick for 135 square feet. Which statement about the amount of brick is correct? Dion estimated correctly by rounding up. He ordered enough brick. The exact area is 129.5 square feet. Dion estimated correctly by rounding down. He ordered enough brick. The exact area is 129.5 square feet. Dion did not estimate correctly by rounding up. He did not order enough brick. The exact area is 129.5 square feet. Dion did not estimate correctly by rounding down. He did not order enough brick. The exact area is 129.5 square feet. I need help ............ An important religious leader during the First Great Awakening was William Penn. Peter Zenger. Anne Hutchinson. Jonathan Edwards. How does the moons diameter compare with the distance between earth and the moon Read the paragraph.The author most likely uses the words sinister and panicto convey to the reader a deep sense ofThe sinister atmosphere immediately made me feel ill atease. I found myself shaking uncontrollably and wantingto leave the building immediately. Perhaps it was just mywild imagination, but I could not deny the panic I wasfeelingmystery.humor.O anxiety.creativity. Skip count by twos.30,_ _ _ _ _ _ _ _ _,50. Explain the significance of:_______. a) a very large value of K, b) a very small value of K, and c) a K value of about 1.0. What two ways you could improve your physical health? Your emotional health? Your social health? fatima bought an xbox game that is 38.00 plus 9% sales tax what is the sales tax on the xbox game that fatima purchased answer Technician A says that latent heat is hidden heat and cannot be measured on a thermometer. Technician B says that latent heat is hidden heat that is required for a change of state of matter. Who is correct? a. A only b. B only c. Both A and B d. Neither A nor B Fill this document for me correctly (90 POINTS) Evaluate f(8) =(8-5)2 for f(8)X=8 An open top box is to be made by a 24 in by 24 in. by 36 in. piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume? i need help ASAP this question is on a school assignment Nucleic Acids functions /short answer This peninsula has been divided as the result of Directions: Punctuate the following sentences with commas.1. Having been told of the test John wondered when he wouldstudy.2. Wading into the cool lake we found relief from the heat.3. In the heat of a summer afternoon our air conditioner stopped.4. After our game with Central High School our bus broke down.Punctuate the following sentences with commas.1. He drove through Illinois Indiana and Kentucky.2. He ran up the stairs through the door and down the hall.3. He ends each day telling himself that the day was miserablethat he shouldhave stayed in bed that tomorrow will be better.4. I ate breakfast read the paper and went to work