What is the equation of the line that is parallel to the line y = 3x - 4 and passe
through the point (4,-2)?
O A. --***
O
B. y = 3x - 14
C. y = 3x + 14
O D. y = 3x + 2

What Is The Equation Of The Line That Is Parallel To The Line Y = 3x - 4 And Passethrough The Point (4,-2)?O

Answers

Answer 1

Answer:

B. y= 3x -14

Step-by-step explanation:

To find the equation of a line that is parallel  to the line y = 3x - 4 and passe

through the point (4,-2), we will follow the steps below;

Equation of a line is y=mx + c

where m is the slope and c is the intercept

To find the slope of the new equation, we will compare y =mx + c and y=3x - 4

The slope of the equation y = 3x-4 is 3

line that are parallel have the same slope, so the slope of the new equation is also m = 3

To find the intercept, we will substitute x=4,  y = -2 and m =4 into the formula y =mx + c then solve for c

That is;

y = mx + c

-2 = 3(4) + c

-2 = 12 + c

subtract 12 from both-side of the equation

-2-12 = 12-12 + c

-14 = c

c= -14

we can now substitute m and c into the formula to form the new equation

y = mx + c

y = 3x -14


Related Questions

Use the Multiplication Law of Exponents to solve the expression below.
121/2.121/2 =

Answers

Answer:

12.

Step-by-step explanation:

12^1/2 * 12^1/2

= 12^(1/2 + 1/2)

= 12^1

= 12.

What is the midpoint of a line segment with endpoints at (6, -4) and (15,8)?

Answers

Answer:

Look at the attachment

find the slope of the line that passses thruogh 1,5 and 10,9

Answers

The answer is 4/9

please see the attached picture for full solution

Hope it helps

Good luck on your assignment

Expand the logarithm fully using the properties of logs. Express the final answer in terms of log x, and log y.
log x^3 y^4

Answers

Answer:

  log x³ y⁴   =  3 log ( x ) + 4 log( y)

Step-by-step explanation:

Given function log x³ y⁴

step(i):-

Applying logarithmic formula

                      log ( a b ) = log  (a) +log (b)

                      log x³ y⁴   = log ( x³ ) + log( y⁴)

step(ii):-

Applying logarithmic formula

                    log (x ⁿ) = n log x

                log x³ y⁴   = log ( x³ ) + log( y⁴)

                log x³ y⁴   =  3 log ( x ) + 4 log( y)

final answer:-

  log x³ y⁴   =  3 log ( x ) + 4 log( y)

Question 10 Multiple Choice Worth 1 points)
(01.03 LC)
Jamie has 105 pieces of candy leftover from Halloween. She would like to distribute them evenly to the 7 kids on her block. Write an equation to show how many pieces of candy each kid
will recele.

Answers

Answer:

105= 7x or 7x=105 x=15

Step-by-step explanation:

Hope this helps

Correct me if this is wrong

ABC and ACD are both right-angled triangles.
D
a)
Explain why the length of AC
is 13 cm.
5 cm
C
5 cm
b)
Calculate the length of AD.
Give your answer correct
to 1 decimal place.
B
A
12 cm

Answers

Answer:

In the picture attached, the question is shown.

a) Applying Pythagorean theorem to triangle ABC, and solving for AC:

CB² + BA² = AC²

5² + 12² = AC²

√169 = AC

13 cm = AC

b) Applying Pythagorean theorem to triangle ACD, and solving for AD:

CD² + AC² = AD²

5² + 13² = AD²

√194 = AD

13.9 cm = AD

Find the magnitude of the vector from the origin to (-7,5) and write the vector as the sum of unit vectors.

Answers

Answer: The answer is C

[tex]m=\sqrt{(-7)^2 +(-5)^2}=\sqrt{74}[/tex]

The vector (-7,-5) as a sum of unit vectors is -7i-5j

Answer:

C on E2020

Have a Great Day ;)

The surface area of a cube is 24 square inches.
What is the side length of the cube?

Answers

Answer:

2 inches

Step-by-step explanation:

A cube has 6 faces. Therefore, each face is 4 square inches. (24/6) The side length of the square (face of the cube) is the square root of the area. The square root of 4 is 2. There is your answer :)

plz help with this question

Answers

Answer:

3cm ,4cm,5cm,and 8 centimetres

Can someone help me with this, I will mark you as brainliest!

Answers

The second one is the answer because you have to start with 180 first meaning you rotate 180 and reflect which is rx .hope this helps

Use the coordinates of the labeled point to find the point-slope equation of the line

Answers

Answer:

A. y + 1 = -2(x-2)

Step-by-step explanation:

point-slope equation is : y - y1 = m (x -x1)

remember m= slope value

the given point is (2, -1) therefore we can substitute the values in:

y + 1 = m(x -2)

now to make sure our answer is complete we will solve for the slope:

looking back at the graph, the y-intercept value is 3, therefore we have a point of (0,3) and (2, -1)

with any two points you can determine a slope.

y2 - y1 / x2 - x1

therefore :

-1 -3 / 2 - 0

-4 / 2 = -2

therefore our m value is -2

this makes the completed point-slope equation:

y + 1 = -2 (x - 2) or A

The point-slope form of the equation of the line that passes through points 8,4 and 0,2 is y-4=1/4 (x-8) what is the slope intercept form of the equation for this line​

Answers

Answer:

Step-by-step explanation:

y - 4 = 1/4(x - 8)

y -4 = 1/4x - 2

y = 1/4x + 2

what is the value of x?

Answers

Answer:

x = 3 will be the answer.

Step-by-step explanation:

From right triangle ABC,

By applying Sine rule,

Sin45° = [tex]\frac{\text{Opposite side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BC}{AC}[/tex]

    [tex]\frac{1}{\sqrt{2}}[/tex]  = [tex]\frac{BC}{6\sqrt{2}}[/tex]

BC = 6 units

Now from right triangle BCD,

By applying Cosine rule,

Cos60° = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex] = [tex]\frac{BD}{BC}[/tex]

[tex]\frac{1}{2}=\frac{x}{6}[/tex]

x = [tex]\frac{6}{2}[/tex]

x = 3

Can someone help me with this ASAP please and thank you

Answers

Answer:

C

Step-by-step explanation:

Triangles will only be right triangles if a² + b² = c² where a and b are legs and c is hypotenuse. Numbers 1 and 2 pass this test so the answer is c.

Answer:

C. I and IV only

Step-by-step explanation:

Apply the Pythagorean theorem to all triangles, and see which ones make the equation true.

I.

8^2 + 15^2 = 64 + 225 = 289

17^2 = 289

289 = 289

Right Triangle

II.

4^2 + 5^2 = 16 + 25 = 41

6^2 = 36

41 is not equal to 36

Not a Right Triangle

III.

2^2 + 2^2 = 4 + 4 = 8

3^2 = 9

8 is not equal to 9

Not a Right Triangle

IV.

9^2 + 12^2 = 81 + 144 = 225

15^2 = 225

225 = 225

Right Triangle

Answer: C. I and IV only

Help!!!

An employee at a factory is paid $9.25 per hour plus an $8.00 bonus for every 20 transformers assembled. Last week an employee worked 36 hours and assembled 380 transformers. How much money did the factory employee actually earn per hour last week rounded to the nearest cent?

Answers

Answer: $13.47 per hour.

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

Total earnings = 9.25 (h) + 8 (t/20)

Where h is the number of hours and t is the number of transformers.

Since he worked for 36 hours and assembled 380 transformers:

Total earnings = 9.25 (36) + 8 (380/20)

Total earnings = 333+152 = $485

Finally, to find how much he earned per hours, we simply have to divide the result by the number of hours worked (36):

485/36 = $13.47 per hour.

could someone please help me figure this out...

Two lines are intersecting. What is the value of x?
(x + 40)°
(4x - 5)”​

Answers

Answer:  29

====================================================

Work Shown:

The two angles shown are a linear pair. They are adjacent and supplementary. Supplementary angles add to 180 degrees.

(4x-5)+(x+40) = 180

5x+35 = 180

5x = 180-35

5x = 145

x = 145/5

x = 29

--------

As a check, if x = 29, then

4x-5 = 4*29-5 = 116-5 = 111

x+40 = 29+40 = 69

The two angles are 69 and 111 degrees which add to 69+111 = 180, which helps confirm the answer.

Answer:

x = 29

Step-by-step explanation:

The two angles with measures are a linear pair.

Angles in a linear pair are supplementary, so their measures add to 180 deg.

4x - 5 + x + 40 = 180

Combine like terms on left side.

5x + 35 = 180

Subtract 35 from both sides.

5x = 145

Divide both sides by 5.

x = 29

HELP!!
Solve for x in the figure below!

Answers

Answer:

x= 9

Step-by-step explanation:

(3x + 4) and 50 are complementary angle

=> (3x + 4) + 50 = 90

-> 3x+4 = 40

-> 3x = 36

-> x= 9

Pleaseee helppp

Which of the following uses a variable to represent a person, place, or thing
that is unknown?

A. a C-sharp on the piano

B. apartment 12A

C. a B+ grade

D. Mr. X

Answers

Answer:

D. Mr. X

Step-by-step explanation:

Answer:

D.

Step-by-step explanation:

All of them could represent something or someone, but Mr. X is the closest because X is usually used as a variable.

I REALLY NEED HELP PLEASE!!

Answers

Answer:

To me the triangles in #6 appear to be the same shape as the first triangle in #7(EFG) with different lengths on the sides. But not much else is the same. I mean they are all triangles but the shape of the second triangle in #7(XYZ) isn't the same as either of the triangles in #6.

I hope that made sense to you!

Hope this helped! Have a great day! :)


The football club sold bags of candy and cookies to raise money for the spring show. Bags of candy cost $6.00
, and bags of cookies cost $4
, and sales equaled $40
in total. There were 3 more bags of cookies than candy sold.
Find the number of bags of candy and cookies sold by the football club.

Answers

Answer:

Candy=x=2.8 bags

Cookies=3+2.8=5.8 bags

Step-by-step explanation:

Price

Bag of candy=$6.00

Bag of cookies=$4

Total sales=$40

Quantity

Let cookies=y=3+x

Let candy=x

There are 3 more bag of cookies than candy sold

Total sales=price*quantity of x + price*quantity of y

40=$4*(3+x) + 6*x

40=12+4x+6x

40=12+10x

40-12=10x

28=10x

X=28/10

x=2.8 bags

The shadow cast by a television tower is 171 ft 10 in. A pole that is stuck in the ground nearby has 2 ft sticking above the ground and casts a shadow that is 6 ft 3 in. in length. Based on this information, how high is the television tower?

Answers

Answer:

the height is 54.99 ft or 659.84 in

Step-by-step explanation:

We know that the sides of similar triangles are proportional, so we can write:

2 ft / 6 ft 3 in = x / 171 ft 10 in

Now what we must do first and pass everything to the same unit of measurement:

Knowing that 1 foot equals 12 inches:

6 ft 3 in = 6 ft * 12 in / ft + 3 in = 72 + 3 = 75 in

171 ft 10 in = 171 ft * 12 in / ft + 10 in = 2052 + 10 = 2062 in

2 ft = 2 ft * 12 in / ft = 24 in

replacing:

24 in / 75 in = x / 2062 in

x = 24 * 2062/75

x = 659.84 in

Or they would also be 659.84 in * 1 ft / 12 in = 54.99 ft

That is, the height is 54.99 ft or 659.84 in

Which algebraic expression is a polynomial with a degree of 5?

Answers

I hope this’s correct!

(x³-4x²+7x-5)+(13x-15x²+x³)

Answers

Answer:

2x^3−19x^2+20x−5

Step-by-step explanation:

combine the x's and numbers, when fully simplified:

2x^3−19x^2+20x−5

Answer:

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Step-by-step explanation:

[tex]\sf\left(x^3-4x^2+7x-5\right)+\left(13x-15x^2+x^3\right)[/tex]

[tex]\sf x^3-4x^2+7x-5+13x-15x^2+x^3[/tex]

[tex]\sf x^3+x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-4x^2-15x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+7x+13x-5[/tex]

[tex]\sf 2x^3-19x^2+20x-5[/tex]

Is (1, 4) a solution to the equation y = 7x?

Answers

Answer:

No

Step-by-step explanation:

y=7x

4=7(1)

4=7

This is not a true statement.

does anyone know the answer to this?

Answers

Answer: 1/3

Step-by-step explanation:

The multiples of 4 and 6 that are in this 1-12 interval is 4, 6, 8, and 12

Thats a 4/12 chance which simplifies to 1/3

Answer:

1/3

Step-by-step explanation:

There are 3 numbers between 1 and 12 that are either multiples of 4 or 6 (4, 8, 6). 12 is a multiple of both, therefore we get 4 numbers out of 12. This is 4/12 = 1/3

27 30 33 36 identify d in this

Answers

Answer:

d = 3

Step-by-step explanation:

d represents the common difference between consecutive terms in the sequence, that is

d = 30 - 27 = 33 - 30 = 36 - 33 = 3

10 = 2 + a help meeeee

Answers

Answer:

8 = a help mee

btw variables cant have spaces

:)

Answer:

A=8

It is 8 because when you subtract 2 from 10, you get 8.

If you want to check your answer, 8 + 2 is 10

Step-by-step explanation:

Hope this helps (pls brainliest)

What is the domain of f(x)=√(x)?

Answers

Answer:

f(x)=√x f ( x ) = x is x≥0 x ≥ 0

Step-by-step explanation:

The domain of the function f(x)=√x f ( x ) = x is x≥0 x ≥ 0 . The range of a function is the set of results, solutions, or ' output ' values (y) to the equation for a given input.

a.
Use the domain and range of each of the following relations to determine which is a function.
{3, 7, - 7,9}
b. {(3,9), (7. - 4), (-7,7)}
• {(3,9), (7. - 4), (37)
d. {(3,9), (7. - 4), (7,6), (-7, 7)}
Please select the best answer from the choices provided

Answers

Answer:

Option B.

Step-by-step explanation:

A relation is called a function if there exist unique value of y for each value of x.

In option (a), [tex]\{3,7,-7,9\}[/tex] is set not a relation.

In option (b), [tex]\{(3,9),(7,-4),(-7,7)\}[/tex] is function because there exist unique value of y for each value of x.

In option (c), [tex]\{(3,9),(7,-4),(3,7)\}[/tex] is not function because there exist two value of y, which are 9 and 7, for x=3.

In option (d), [tex]\{(3,9),(7,-4),(7,6),(-7,7)\}[/tex] is not function because there exist two value of y, which are -4 and 6, for x=7.

Therefore, the correct option is B.

Answer: B.{(3,9), (7. - 4), (-7,7)}

Step-by-step explanation: got it right on edge

How do you simplify ( 5 x 10-4 ) ( 2.4 x 10-6 ) into a scientific notation?

Answers

Answer:

I do not know this is harddd

Other Questions
The year-end 2009 balance sheet for Tom's Copy, Inc. lists common stock ($1.00 par value) of $ 5,870 , capital surplus of $ 17,290 and retained earnings of $ 47,076 . On the 2010 year-end balance sheet, retained earnings are listed as $ 50,350 . The firm's net income in 2010 was $ 9,811 . No stock was issued or repurchased in 2010. What were dividends per share paid by the firm in 2010 Which expession is equivalent to -3(6c + 2) + 5c Examine the following gizmo problem and choose the best answer Please answer this correctly Please answer correctly !!!!! Will mark brainliest !!!!!!!!!!! In the movie, Tim says that chlorophyll traps photons. What are photons? Plz write poetry about having to let go of the guy you had feelings for because he couldnt make up his mind on whether he wanted to be in steady relationship yet kept talking to you and leading you on when he knew you wanted a real relationship. He wanted to be with you but he also changed his mind and said no and the cycle continues on until you have had enough and break it off then your best friend lying to you about basically your whole life Three different students determined the density of a metal object. Here are their results: 15.12 g/mL, 15.09 g/mL, and 15.12 g/mL. The actual density of the object was 14.41 g/mL. Calculate the percent error. Make sure to include units with your answer, units are %. What do you predict would happen if you placed the smaller ball on the bottom, and thelarge ball on top? Be sure to support your claim with evidence. Topic: ProbabilityOnly complete question 12. Paloma ran 33/4 miles around the school track. If each lap is 1/2 mile, how many laps did she run?Explain how to find the answer. A5.3 1012 kg satellite is 1,800 m from another satellite that has a mass of 3.5 x 108 kg. What is the gravitationalforce between the satellites?3.82 x 104N6.87 x 107 N5.72 x 1014 N0 1.03 x 1018 N From the conversation with attorney david cortman, when can you initiate talking about christianity? Can someone please please help me Explain how a historian might use each of the organizing principles of region, period, and theme to construct a historical narrative. A student is trying to dissolve 20 grams of sugar in a beaker containing 250 milliliters of water at room temperature. What can the student do to make the sugar dissolve faster in the water? Will mark brainliest!Please help! in the formula C=5/9(F-32),If C=35, then F=? Journalize the following transactions using the direct write-off method of accounting for uncollectible receivables: Feb. 20 Received $1,000 from Andrew Warren and wrote off the remainder owed of $4,000 as uncollectible. May 10 Reinstated the account of Andrew Warren and received $4,000 cash in full payment. If an amount box does not require an entry, leave it blank. Feb. 20 May 10 May 10 A triangular plate with base 3 m and height 5 m is submerged vertically in water so that the tip is even with the surface. Express the hydrostatic force against one side of the plate as an integral and evaluate it. (Round your answer to the nearest whole number. Use 9.8 m/s2 for the acceleration due to gravity. Recall that the weight density of water is 1000 kg/m3.)