What is the equation of the line that passes through the points (4, 15) and (0, 3)?

Answers

Answer 1

Answer:

Y=3x+3

Step-by-step explanation:

Gradient = :[tex]\frac{y2-y1}{x2-x1}[/tex] = :[tex]\frac{3-15}{0-4}[/tex] = :[tex]\frac{-12}{-4}[/tex] = 3

Y= mx + c

y = 3x + c

Insert x and y values for first point(4,15)

15 = 3 (4) + c

15 = 12 + c

3 = c

Y=3x +3

Answer 2

Answer:

The equation of the line is y=3x+3

Step-by-step explanation:

y=mx+b is the y intercept form of the equation of this line.

m=slope, and we find the slope by the equation m=y2-y1/x2-x1. Plugging our number into that formula, we get m=3 - 15/ 0 - 4, or -12/-4, which simplifies to 3.

Now we can add our slope into the formula.

y=3x+b

Next, we solve for the y intercept, or b. You can use whatever point to get the answer, but I will use 4 ,15).

y=mx+b is the equation, or substituting the numbers, gets you 15=3×4+b. now solve for b: b=15-(3)(4). b=3.

now, with slope and y intercept plugged in, the final equation is. y=3x+3


Related Questions

pls help me and solve it

Answers

Answer:

The first question

cos 30 = 50/x

√3/2 = 50/x

x√3 = 100

x = 100√3/3

x = 57.7350 ≈ 57.74

The second question

sin 45 = x/55

√2/2 = x/55

55√2 = 2x

x = 55√2/2

x = 38.8908 ≈ 38.90

The third question

cos 40 = x/34

x = 34 × 0.7660

x = 26.044

HELP ASAP


Briefly describe the relationship between the construction of a robotic arm and the stability of the robot.

Answers

Answer:

If the same tech in the robotic arm is used throughout the body then depending on whether the arm tech is good the stability of the body will be good or bad.

Can someone please help me ASAP NO LINKS!!!

Answers

Answer:

-7 3/4 (or it can be written as -31/4, an improper fraction)

Step-by-step explanation:

[tex]\left(\frac{1}{2}\right)^2-6\left(2-\frac{2}{3}\right)[/tex] [tex]\frac{1}{4} - 6(2-\frac{2}{3})[/tex] [tex]\frac{1}{4}-6(1\frac{1}{3})[/tex] [tex]\frac{1}{4} - 6 * \frac{4}{3}[/tex] [tex]\frac{1}{4} - \frac{24}{3}[/tex] [tex]\frac{1}{4} - 8[/tex] [tex]\frac{-31}{4}[/tex] [tex]-7\frac{3}{4}[/tex]

Therefore, the answer is -7 3/4 as a mixed number and -31/4 as an improper fraction (they're the same thing).

Name the vertex and sides of the angle

Answers

Answer:

#1Angle- ∠GFEVertex - GSides - FG and FE#2Angle - ∠KLMVertex - LSides - LK and LM#3Angle - ∠WXYVertex - XSides - XW and XY

#1

Vertex=F

Side=GF,FE

#2

Vertex=LSide=KL,LM,KM

#3

Vertex=XSide=XW,XY

a ladder is leaning against a house. if the top ladder is 12 feet above the ground and 3 feet away from the house, what is the angle of inclination?

Answers

Answer:

60 deegrees

Step-by-step explain

Yesterday, Jennifer walked several laps around a track. She made Graph 1 to describe the relationship between time and distance. Today, Jennifer alternated walking one lap and running one lap. She made Graph 2 to describe the relationship between time and distance. Select True or False for each statement.

Answers

Answer:

Hey! Your answer to this question is False False, True True, False False!

Step-by-step explanation:

I just did it and got it right :D

simplify 5 to the power of three over 5 to the power of seven

Answers

Answer:

1/625, or 0.0016 is the answer.

(50 POINTS^^ JUST NEED HELP ^^)
Which statement correctly describes the relationship between the graph of f(x)=x and the graph of g(x)=f(x)+5 ?

A)The graph of g(x) is the graph of​​​ f(x) translated 5 units up.
B) The graph of g(x) is the graph of f(x) translated 5 units right.
C) The graph of g(x) is the graph of​​ f(x)​ vertically compressed by a factor of 5.
D) The graph of g(x) is the graph of​ f(x)​ vertically stretched by a factor of 5.

2. The graph of function ​g(x)​ is a vertical stretch of the graph of function f(x)=x ​​by a factor of 6.
Which equation describes function ​g(x)​?

A) g(x)=6f(x)
​​B) g(x)=f(x)−6
C) ​g(x)=16f(x)
D) ​​g(x)=f(x)+6

Answers

1: A; the graph of g(x) is the graph of f(x) translated 5 units up

2: A; g(x)=6f(x)

Hope this helps :)

Your normal work week is 30 hours. You make $10 an hour.Last week you worked 31 hours. What is your total paycheck.

Answers

Answer:

$310

Step-by-step explanation:

-32a/15 + 6 simplified

Answers

Answer:

might be wrong but

3

2

+

9

0

1

5

Answer:

-32a/15 +6

Step-by-step explanation:

it does not change when you simplified

michael and his brother allen played basketball basketball each basket was worth 5 points michale scored 35 points allen scored 20 points what is the total number of baskets made during this game

Answers

11 baskets. 35+20=55. 55/5= 11

Question 12: There are only red, black and green pens in a box.
There are three times as many red pens as green pens.
There are four as many black pens than red pens.
Work out the probability of a black pen being selected

working pls !! :D​

Answers

Answer:

3/4

Step-by-step explanation:

Let the number of black pen be b, the green pen be g and the red pen be r.

Probability of a black pen being selected = 12g/16g = 3/4

x/2 - 3 + 4x^2 + x - 4

Answers

Answer:

=4x^2 +  3/2 x − 7

Step-by-step explanation:

Let's simplify step-by-step.

x /2  −3 + 4x^2 + x − 4  

=  1 /2 x + −3 + 4x^2 + x + −4

Combine Like Terms:

=  1 /2 x + −3 + 4x^2 +x + −4

= (4x^2) + (  1 /2 x + x) + ( −3+−4 )

= 4x^2 + 3 /2 x + −7

solve for y
6x - 3y = 15
hint: subtract 6x, divide by -3, simplify

Answers

Answer:

2.5

Step-by-step explanation:

6x-3y=15 because you have to times through 6x and 3y

What are four decimals that are in between 0.45 and 0.46?

Answers

Answer:

[0.45(many 0's)1] through [0.459] repeating 9

Step-by-step explanation:

All these numbers fall in between 0.45 and 0.46. So if you were to draw out a number line you can find all the answers in between, example being: 0.456, 0.45897, etc.

The decimal numbers are given as 0.451, 0.452, 0.453, and 0.454 respectively.

What is a Decimal number?

A decimal number is the representation of a number in whole and a part. The whole is represented by an integer while the part is equivalent to a number divided by the order of 10.

The given decimal numbers are 0.45 and 0.46.

In order to write the numbers between them, write the given decimals up to 3 places as follows,

The numbers are 0.450 and 0.460.

The four decimals between them are as follows,

0.451, 0.452, 0.453, and 0.454.

Hence, the four decimals that lies between 0.45 and 0.46 are given as 0.451, 0.452, 0.453, and 0.454 respectively.

To know more about decimal number click on,

brainly.com/question/4708407

#SPJ2

Simplify the expression shown.
3x + 2-3x + 7 +5x
What is the coefficient in the simplified expression?
O 5
O 9
ОЗх
O 5x

Answers

i believe it would 5x as the coefficient in the simplified version.
D, its the most simplifed answer related to your question

What is the answer for 3 4/8 + 1 1/4 + 4/6 in simplest form?

Answers

Answer:

5 5/12

Step-by-step explanation:

hoffe das hilft

I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont know try your best :D

Answers

Answer:

a line graph

Step-by-step explanation:

they can make u easily see the rise and fall throught the years and it is easy to see ur data. historgrams are grouped into number ranges and bar graph are used to compare different categories.

The cost for a business to produce "x" television commercials in 1 year is $225x + $17,000. How many commercials can the company produce in 1 year at a cost of $35,000

Answers

We are required to find how many commercials the company can produce in year at a cost of $35,000

The company can produce 80 commercials in year at a cost of $35,000

Given:

C(x) = $225x + $17,000

If C(x) = $35,000

Then,

C(x) = $225x + $17,000

35,000 = 225x + 17,000

subtract 17,000 from both sides

35,000 - 17,000 = 225x

18000 = 225x

divide both sides by 225

x = 18,000 / 225

x = 80

Therefore, the company can produce 80 commercials in year at a cost of $35,000

Read more:

https://brainly.com/question/3215028

Instead of having a cake, Paul wants to make ice cream sundaes at his next birthday party. He thinks each person will eat 2 cups of ice cream, and there will be 24 people at his party. How many 1-gallon tubs of ice cream should he buy?

Answers

Answer:

8

Step-by-step explanation:

24÷2=16×1=16÷2=8

am not sure I think the answer is also 16 so look at other people answer

Paul should buy 3 gallons

How to calculate unit price of something?

Unit means 'single entity', the fundamental constructing block. Usually, it is 1 in mathematics and science.

Thus, unit price of something is price of 1 thing.

Thus, suppose we're taking about price of mangoes, then unit price will denote the price of 1 mango.

There are 16 cups in a gallon, and if each person will eat 2 cups, and there are 24 people, multiply 24 by 2 to get the number of cups.

24 x 2 = 48.

Then, divide that by 16 (the number of cups in a gallon) to how many gallons.

48 ÷ 16 = 3

Therefore, he needs 3 gallons.

Learn more about unit price here:

https://brainly.com/question/945712

#SPJ2

A rock band made a concert tour of 13
cities. They traveled an average of
1,970 miles per week for 6 weeks. .
How far did they travel altogether?

Answers

Answer:

11820

Step-by-step explanation:

https://msquaredmathschool.files.wordpress.com/2017/04/block2key.pdf

The population of insects in an experiment has
been increasing by 9% each week. If there were 16
insects at the beginning of the experiment, predict
how many insects there will be after 8 weeks.

Answers

Answer:

[tex]16 (1 +0.09)^{8}\\[/tex]

Future Amount = 38 (rounded)

Step-by-step explanation:

hope this helps.

-5-3(6x-8)= -5x + 19

Answers

Answer:
x=0
Explication:
Just trust me

For brainily please help :/

Answers

Answer:

Yes. ( I think)

Step-by-step explanation:

I hope it helps though

Answer:

Yes (scalene triangle)

Step-by-step explanation:

please mark me as the brainliest answer

please help me with some of these

find the value of each trigonometric ratio. Express in fractions in lowest terms​

Answers

Answer:

Step-by-step explanation:

[tex]1) Sin \ C = \dfrac{opposite side of C}{Hypotenuse}=\dfrac{21}{29}\\\\2)Sin \ C = \dfrac{30}{50}=\dfrac{3}{5}\\\\3) Cos \ C = \dfrac{adjacent \ side \ of \ C}{hypotenuse}=\dfrac{36}{39}=\dfrac{12}{13}\\\\4) Cos \ C =\dfrac{8}{17}[/tex]

6x - 9 = 2x +7 what is x

Answers

Answer:

x = 4

Step-by-step explanation:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    6*x-9-(2*x+7)=0

Pull out like factors :

  4x - 16  =   4 • (x - 4)

Solve :    4   =  0

Add  4  to both sides of the equation :

                     x = 4

Answer:

Isolate the variable by dividing each side by factors that don't contain the variable.

Step-by-step explanation:

and your answer is  x=4

can somebody answer this? thankyu​

Answers

Answer:

1. 3, 12, 48, 192, 768               Ratio: x4

2. 8, 16, 32, 64, 128                Ratio: x2

3. 120, 60, 30, 15, 7.5             Ratio: ÷2

4. 5, 10, 20, 40, 80, 160          Ratio: x2

5.  1.3?, 4, 12, 36, 108, 324      Ratio: x3

Hope this helps!

I'm not sure about the first one on question 5 though.

pls help
A newspaper reports the following changes in the temperature of a city over 4 days:


1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius


Write an expression to show the average daily change in the temperature of the city.


Write the steps to solve the expression. Round your answer to the nearest hundredth.A newspaper reports the following changes in the temperature of a city over 4 days:


1.34 degrees Celsius, negative 5 over 7 degrees Celsius, −0.75 degrees Celsius, 4 over 9 degrees Celsius


Write an expression to show the average daily change in the temperature of the city.


Write the steps to solve the expression. Round your answer to the nearest hundredth.

Answers

2x - 19

Step-by-step explanation:

Perimeter = sum of sides

First let's simplify each side

We can simplify each side by using distributive property. Distributive property is where you multiply the number on the outside of the parenthesis by the numbers on the inside of the parenthesis.

2(x + 5)

Distribute by multiplying x and 5 by 2

2 * x = 2x and 2 * 5 = 10

2x + 10

1/2(4x + 8)

Distribute by multiplying 4x and 8 by 1/2

1/2 * 4x = 2x and 1/2 * 8 = 4

2x + 4

-3(2x + 11)

Distribute by multiplying 2x and 11 by -3

-3 * 2x = -6x

-3 * -33

-6x - 33

Finally add all the simplified expressions ( remember that they represent the side lengths of the triangle )

2x + 10 + 2x + 4 - 6x - 33

Combine like terms

2x + 2x - 6x = -2x

10 + 4 - 33 = -19

Perimeter: -2x - 19

Peter says, "If you subtract 17 from my number and multiply the difference by - 2, the result is - 26."
What is Peter's number?
Peter's number is

Answers

Answer:

4 is the number

Step-by-step explanation:

(17-x)(-2)=-26

-34+2x=-26

2x=-26+34

2x=8

x=8/2

=4

112°
4)
53°
2f+ 1°
f
=

Can someone link a video or tell me how to do this?

Answers

This is easy:
2f+1 + 53 =112
Minus 54 from both sides
2f = 58
Divide 2 from both sides
F=29
Just remember the exterior angle is the sum of the 2 interior angles.

Answer:

f = 29

Step-by-step explanation:

First look at the angle inside the triangle that has no marker.  You can determine this angle using the angle on the opposite side (112).

A straight line will equal 180.  So this angle would equal 180 - 112 or 68.

Now you know two of the triangles angles....  53 and 68.

A triangle's inside angles always add up to 180 degrees.

53 + 68 = 121

The angle that is 2f + 1 must equal 180 - 121 which is 59 degrees.

2f + 1 = 59

2f = 58

f = 29

The three angles inside the triangle are 53, 68 and 59

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