What is the equation of a line that contains the point (2.1) and is parallel to
the line: y = 3x - 4?
A. y--x-
B. y--x-4
C. y= 3x-4
D. y= 3x - 5

Answers

Answer 1

Answer:

D

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 3x - 4 ← is in slope- intercept form

with slope m = 3

Parallel lines have equal slopes , so

y = 3x + c ← is the partial equation

To find c substitute (2, 1) into the partial equation

1 = 6 + c ⇒ c = 1 - 6 = - 5

y = 3x - 5 ← equation of parallel line → D

Answer 2
D

Answer: the answer is (D)

Related Questions


Solve using suitable property and name the property applied. 3/5 x 35/24 + 15/6 x 3/5

Answers

your answer would be 19/8 !!


Peter wants to measure the height of a tree. He walks exactly 100 feet from the base of the tree and looks up. The angle of elevation to the top of the tree is 23 degrees. About how toll is the tree
feet tall
The tree is about _____ feet tall

Answers

Step-by-step explanation:

everything can be found in the picture

Connor gathered data about the height of customers entering a store and the time that it took them to gather their items and enter the checkout line.

Connor's data:​

Answers

Based on the data provided by Connor, the correlation coefficient of the relationship is -0.84.

What is the correlation coefficient?

Correlation is used to determine the type of relationship that exists between two variables.

A negative correlation is when the two variables move in opposite directions. If one variable increases, the other variable decreases. A negative correlation has a negative sign in front of it.

The correlation coeffcieenct can be determined using a financial calculator.

To learn more about negative correlation, please check: https://brainly.com/question/27246345

#SPJ2

Christian has six grades from test and IXL. They are all weighted equally. If Christian's grades are 100,96,96,88,70, and 100, what is thhe current average grade? (Round to the nearest whole number)

Answers

Answer:

100+96+96+88+70+100=550

550 divided by 6 is 91 1/3

92 is his current grade

Does this graph represent a function? Why or why not?

Answers

Answer:

B yes

Step-by-step explanation:

As long as a verticle line intercepts the graph at no more than one point it is a function

Answer:

B. Yes, because it passes the vertical line test

Step-by-step explanation:

no x values are repeated

Hello there, could you please help me? Thank you

Answers

Answer:

24

Step-by-step explanation:

Segment AC is 1/2 of segment AB so 12+12=24

Hope this helps

AB should be 24

explanation; the bisector cuts it in the middle and the problem gave us half of that (12),

A second bag of 40 marbles contains 11 red marbles, 9 blue marbles and 20 green marbles.
All the marbles from the two bags are mixed together.
Write down the ratio of marbles red: blue :green.
Give your answer in its simplest form.

Answers

Answer:

Where is the first bag? We cant solve the question without knowing the marbles in the first bag

Answer:

There are

red: blue: green

11: 9: 20

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

(−9, −2)
(−17, −2)
(−2, −17)
(−2, −9)

Answers

Answer:

D) [tex](-2,-9)[/tex]

Step-by-step explanation:

Vertex Form of a Vertical Parabola:

[tex]y=a(x-h)^2+k[/tex]

Vertex -> [tex](h,k)[/tex]

Axis of Symmetry -> [tex]x=h[/tex]

Vertical Scale Factor -> [tex]a[/tex]

To turn [tex]f(x)=x^2+4x-5[/tex] into vertex form, we need to complete the square on the right sideTherefore, if [tex]f(x)=0[/tex], then [tex]0+9=x^2+4x-5+9[/tex] completes the square on the right side This becomes [tex]9=(x+2)^2[/tex]This means that our function in vertex form is [tex]f(x)=(x+2)^2-9[/tex]

Therefore, the vertex of the graph is [tex](h,k)=(-2,-9)[/tex].

The coordinates of the vertex of the graph is (-2, -9).

What are Quadratic Functions?

Quadratic functions are polynomial functions consisting of variables and exponents and the degree of the variable is 2.

The general form of a quadratic function is f(x) = ax² + b x + c.

Given is a quadratic function,

x² + 4x - 5

Given that axis of symmetry of the function is x = -2.

So the x coordinate of the vertex = -2.

y coordinates = f(-2) = 4 - 8 - 5 = -9

Hence the vertex is (-2, -9).

Learn more about Vertex form here :

https://brainly.com/question/13921516

#SPJ5

PLEASE HELP! Joe was holding a kite with his hand 5' off the ground. The kite string is 125' long and has an angle of elevation of 56 degrees. How high off the ground is the kite?

Answers

Answer: 108.629 inches off the ground. (Round to any decimal place!)

Hi there! This is very similar to a question that I had yesterday, so I will do my best to try to answer it! I’m only in middle school, so this may not be correct :)

Step-by-step explanation:

First set up a diagram. The length of the string is the hypotenuse, and the angle of elevation is as pictured below. Use SOH CAH TOA to find the correct ratio, and then solve for “x”. Once you solve for “x” (height) add the 5 inches to the total, and your answer will be there! :)

A city has 20 radio stations including 5 college stations. What is the probablility that a randomly chosen radio station in this city is a college radio station

Answers

Answer:

1/4

Step-by-step explanation:

Probability calculates the likelihood of an event occurring. The likelihood of the event occurring lies between 0 and 1. It is zero if the event does not occur and 1 if the event occurs.

For example, the probability that it would rain on Friday is between o and 1. If it rains, a value of one is attached to the event. If it doesn't a value of zero is attached to the event.

the probability that a randomly chosen radio station in this city is a college radio station = number of college stations / total number of city radio stations

= 5/20

To transform to the simplest form. divide both the numerator and the denominator by 5

= 1/4

Solve for y.

-24 = -8y

Simply your answer as much as possible.

Answers

Answer:

Y=3

Step-by-step explanation:

-8 times 3 equals -24

Answer:

y = -3

Step-by-step explanation:

-24 = 8y

Divide both side by 8

-24/8 = 8y/8

-24/8 = y

divide -24 by 8 to get -3

-3 = y

rewrite ..( optional )

y = -3

help me solve this with step-by-step please.​

Answers

Answer:

x=1

y=-2

Step-by-step explanation:

In Picture

Please give brainliest, thanks!

Determine the interest paid on an investment of $2700 for 3years at a rate of 7.5% per annum compound interest ​

Answers

Step-by-step explanation:

hope you have understood.

Pls help quicky! I will also give a brainliest!!!!!

Answers

the answer should be 7.12. because you do 10.52-3.4, giving your answer

Answer:

A) 7.12

Step-by-step explanation:

Simply, subtract 10.52 by 3.4 to get your answer or plug in each answer until you get 10.52

Hope this helps, good luck! :)

MAX POINTS AND BRAINLIEST
Use the table below to write an equation in slope intercept form. How did you find the slope and the y intercept of the equation?​

Answers

Answer:

y = 8x+9

Step-by-step explanation:

First find the slope

m = (y2-y1)/(x2-x1)

  = ( 57-17)/(6-1)

   = 40/5

  = 8

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

y = 8x+b

Substitute a point into the equation

33 = 8*3 +b

33 = 24+b

Subtract 24 from each side

33-24 = 24+b-b

9 = b

y = 8x+9

#equation

(1,7)(3,33)

Slope

m=33-17/3-1m=16/2m=8.

Now

y-y_1=m(x-x_1)y-17=8(x-1)y-17=8x-8y=8x+9

On comparing to slope intercept form

y intercept is 9

When laid flat, a round parachute has a radius of 6 meters. What is the parachute's diameter?

Answers

Answer:

12 meters

Step-by-step explanation:

The diameter is twice the radius

d = 2r

d = 2(6)

d = 12 meters

Answer:

the diameter is 12

Step-by-step explanation:

radius is half of the diameter

A cell phone company dropped the price by 7%. Which expression shows the new price of the phones(p)? A 0.07p B p-1.07 C p-0.07 D p-0.07p E 0.93p

Answers

Answer:

option D

Step-by-step explanation:

Let the price be p

7% of price = 0.07p

Price after decrease = p - 0.07p

If Elena sells 15 adult tickets, does she sell at least 100 total tickets ? Justify your work
DUE AT 9:50 JUST GIVE ME AT LEAST 2 PARAGRAPHS PLS

Answers

Answer: baby 5

Step-by-step explanation:

I dont know 5+5 = baby 5

Complete the steps to solve the -19x - 11=-144

Answers

The correct answer is:X=7

Step-by-step explanation:

-19x - 11 = -144

collect like terms,

-19x = -144 + 11

-19x = -133

Divide both sides by the coefficient of x

-19x/-19 = -133/-19

-19 cross with -19 leaving x, negative cross with negative leaving 133/19

133÷19

Therefore, x = 7

Find the indicated side of the right triangle, please help!

Answers

Answer:

x = [tex]7\sqrt{3}[/tex]

Step-by-step explanation:

By applying tangent rule in the given triangle,

tan(60°) = [tex]\frac{\text{Opposite side}}{\text{Adjacent side}}[/tex]

[tex]\sqrt{3}=\frac{x}{7}[/tex]

x = [tex]7\sqrt{3}[/tex]

Therefore, answer will be,

x = [tex]7\sqrt{3}[/tex]

Evaluate yx^y - xy^x for x = 1/2 and y=4.

A: -3/4
B: -1/2
C: 1/4
D: 3/4

Answers

Answer:

b

Step-by-step explanation:

What is the solution to the linear equation?

2.8y + 6 + 0.2y = 5y – 14

Answers

Answer:

2y +3x

Step-by-step explanation:

sjsjdjdsndnjssje

The table shows the relationship “Mason rode 15 miles per hour on his bicycle.”

Hours (h)
Miles (m)
1
15
2
30
3
45
4
60
5
75

Which statements are correct? Check all that apply.
The variable m is the independent variable.
The number of miles increases as time increases.
The number of hours causes a change in the number of miles ridden.
The variable h is the independent variable.
The variable h is the dependent variable.
The farther Mason rides, the less time it takes.
The variable m is the dependent variable.

Answers

Answer:

Step-by-step explanation:

I'm assuming that the variable m is miles. You have to make that clear. It makes any answerer on here a little cranky when we have to guess.

A: Wrong. The first statement is wrong. m is the dependent variable. Time is usually the independent variable as it is in this case.

B: True. That happens

C: True. Miles increases as time increases.

D: True. If h is hours then H is the independent Variable

E:  is wrong. H cannot be both, and it is not the dependent variable

F: False: The further he rides, the more time it takes.

G: True: m is the dependent variable.

Correct Statements.

B C D G

What is the greatest common factor of...

Answers

Answer:

3 a²b

Step-by-step explanation:

This is what I did:

3 a²b ( 5b² - 7a²)

when you try to expand this, it will give you back the original expansion so 3a²b is the greatest common factor

Help pleaseeeeeeeeeeeeeeeeeeeeee

Answers

4(-3) + 3(-5) + 7
-12+-15+7=-20

Answer:

The answer is -20.

Step-by-step explanation:

To evaluate the expression, plug x= -3 and y= -5 into the expression. By plugging in the information given from the problem, the expression will look like 4(-3) + 3(-5) + 7.

Next, solve the expression, and the answer will be -20.  

For 4 weeks, William volunteered as a helper for swimming classes. The first week, he volunteered for 8 hours. He volunteered for 12 hours in the second week, and another 12 hours in the third week. The fourth week, he volunteered for 9 hours. For how many hours did he volunteer per week, on average?

Answers

10.25 hours on average

8+12+12+9=41

41/4= 10.25

Helppp pleaseee & thank you!!!

Answers

Answer:

A

Step-by-step explanation:

Let r(x)=x^2.If r(x)=4,find x
A.2
B.-2
C.4
D.Both 2 and -2 are correct
E.None of these choices are correct

Answers

the answer should be D

How much should be added to 58.4 to makes 400?​

Answers

Answer:

341.6

Step-by-step explanation:

400-58.4=341.6

how do you find slope of (2,1) and (-6,-4)​

Answers

-5/-8

Step-by-step explanation:

I think the question is asking about the gradient so to find the gradient, you need to minus the first y coordinate form the second y coordinate

-4 - 1 = -5

then the first X from the second X

-6 - 2 = -8

Other Questions
Which phase of meiosis is this cell undergoing?" Following Archduke Franz Ferdinands assassination, Austro-Hungarian leaders: Solve the following for y: 4x + 2y = 2 (5 points)y = 2x + 1y = 2x + 1y = 2x 1y = 2x 1 please help!! i will help you back!! does anyone know which graph represents the equation 2 and 2/3 3/4 Compared to bonds with longer maturity, bonds with shorter maturity respond _______ dramatically to changes in interest rates. There are 27 chocolates in a box, all identically shaped. Theyre 10 are filled with nuts, eat with Carmel, and nine are solid chocolate. You randomly select one piece, eat it, and then select a second piece find the probability of selecting two solid chocolate in a row A glass of milk tips over and the milk spills out into a thin puddle. Why does the milk flow out of the glass instead of staying in its place inside the glass? If using the method of completing the square to solve the quadratic equationx^2 + 8x 4 = 0, which number would have to be added to "complete the square"? write a letter to your friend tell him/her how you gained admission in to the university Please help me describe Fred has been experiencing recurring episodes of heartburn, especially when he bends over to lace his shoes or when he lies down in bed. His physician believes Fred may have a hiatal hernia. To confirm this diagnosis, she has scheduled Fred for a barium swallow. In this test, a barium-containing fluid that blocks x-rays is swallowed so that the stomach appears as a bright mass in a radiograph. If Fred has a hiatal hernia, what should the radiologist see on the radiograph? Can you explain what caused the symptoms that brought Fred in to see his physician? 11. f(x) = x + 3, g(x) = -x + 2. Find (f + g)(x) Hi can yall help me please asap PLEASE DONT JUST GIVE ME THE ANSWERS WORKING TOO PLEASEhope you are having a great day thank you:) Help answer pleaseeeeeee This is the type of succession thatoccurs when all of the usable soilhas been destroyed in anecosystem. A seccession B primary C Secondary 8.2 Double object pronouns:Rewrite these sentences using double object pronouns.Follow this model: estas comprandole los libros -> Se los estas comprando1: Me estas pidiendo ese libro.2: Les sirve el cafe a ustedes.3: Van a traerte la mantequilla.4: Ellos nos tienen que mostrar las fotos. plzz help everything is due tonight! 29 pointssss Write the equation of a line, in Point slope form that passes through (5,6) and has a slope of -3 All of the following statements about the Reign of Terror are true, except:a.it ended with the execution of Robespierre.b.thousands of people were executed by guillotine.c.playwright and feminist Olympe de Gouges was among its victims.d. the Committee of Public Safety only targeted members of the First and Second Estates.