write the equation of a line in slope interest form that passes through (16,0) and (17,12)

Answers

Answer 1

Answer:

y=12x - 192

Step-by-step explanation:

Hi there!

We are given the points (16,0) and (17, 12)

We want to write the equation of the line that contains these points in slope-intercept form

Slope-intercept form is given as y=mx+b, where m is the slope and b is the y intercept

First, we need to find the slope

The slope (m) can be found using the formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex], where [tex](x_1, y_1)[/tex] and [tex](x_2, y_2)[/tex] are points

We have 2 points, which is what we need to find the slope, but let's label their values to help avoid confusion and mistakes

[tex]x_1=16\\y_1=0\\x_2=17\\y_2=12[/tex]

Now let's plug these values into the formula to find the slope

m=[tex]\frac{y_2-y_1}{x_2-x_1}[/tex]

m=[tex]\frac{12-0}{17-16}[/tex]

Subtract

m=[tex]\frac{12}{1}[/tex]

Divide

m = 12

The slope of the line is 12.

Let's substitute that as m in y=mx+b.

Here is our equation so far:

y=12x + b

Now we need to find b

As the equation passes through the points (16,0) and (17, 12), we can use either one of them to solve for b.
Using (16,0) for example:

Substitute 16 as x and 0 as y.

0 = 12(16) + b

Multiply

0 = 192 + b

Subtract 192 from both sides

-192 = b

Substitute -192 as b in the equation

y = 12x - 192

Hope this helps!


Topic: finding the equation of the line

See more on this topic here: https://brainly.com/question/27568529


Related Questions

!!!!PLEASE HELP HAS TO BE DONE TODAY!!!!

What is the LCD of
45
015
03
05
8
15
-
ن
and 2/3/?

Answers

The answer would be B: 15.

QUICK HELP PLEASEEEE SOMEBODY PLEASE HELP

Answers

Answer:

Infinite answers is the correct answer

Step-by-step explanation:

Infinitely Many Solution Is the answer

Which expression shows 48 + 36 written as a product of two factors

Answers

Answer:

12(4+3)

Step-by-step explanation:

f(x) = 2x + 3 and g(x) = 24 – X.

Solve the equation f(x) = g(14).

Answers

Answer:

x = 3.5

Step-by-step explanation:

f(x) = 2x + 3

g(x) = 24 – x

-> g(14) = 24 - 14

-> g(14) = 10

f(x) = g(14) (Given)

-> 2x + 3 = 10

-> 2x = 10 - 3

-> 2x = 7

-> x = 7/2

-> x = 3.5

Describe the pattern

Answers

Answer:

negative linear

Step-by-step explanation:

as you see the correlation is going negative in a linear line.

A triangle has an angle that measures 44.3 and another that measures 52.4" What is the measure of the third angle​

Answers

83.3, because all the angles have to add up to 180
180-44.3-52.4= 83.3

The measure of the third angle, if the other angles measure 44.3 and 52.4, is 83. 3 degrees.

How to determine the angle?

To determine the angle, we need to know the following;

The sum of the interior angles of a triangle is 180 degreesAlternating angles are equalCorresponding angles are equalSupplementary angles sum up to 180 degreesComplementary angles sum up to 90 degrees

Then, from the information given, we have that;

A triangle has an angle that measures 44.3 and another that measures 52.4"

Then, we get; x + 52.4 + 44.3 = 180

collect the like terms'

x = 180 - 96.7

x = 83. 3 degrees

Learn about angles at: https://brainly.com/question/25716982

#SPJ2

Do these for me pls

Answers

Answer:

1) C or B

2) J

3) C

4) J

Step-by-step explanation:

1) I am not sure but I think you start with the x so that is -5 then y which is 7 so y= 5/7x - 5 or y= 7/5x - 5

2) The graph always starts at the origin (0.0) that where the line should be put
3) 39 in + 78 in = 117 in

4)

2/3.5 = 0.57

4/7 = 0.57

6/9 = 0.57

7/12 = 0.57

Using the recurrence relation s(1) = 2 and s(2)=3, s(k) =s(k-1)+2s(k-2)+6, find the fourth term

Answers

Recurrence functions are used to preedict the subsequent value in a sequence. The fourth term of the sequence based on the recurrence relation is 25

How to find the recurrence relation of a function?

Given the recurrence relations according to the question

s(1) = 2 and

s(2)=3

s(k) =s(k-1)+2s(k-2)+6

If s(1) = 2, hence;

s(3) =s(3-1)+2s(3-2)+6

s(3) = s2 + 2s1 + 6
s(3) = 3 + 2(2) + 6
s(3) = 13

Determine the fourth term:

s(4) =s(4-1)+2s(4-2)+6

s(4) = s3 + 2s2 + 6
s(4) = 13 + 2(3) + 6
s(4) = 25

Hence the fourth term of the sequence based on the recurrence relation is 25

Learn more on recurrence relation here: https://brainly.com/question/10636530

Find the area of the shaded region

Answers

Answer:

Area of square - area of circle

Step-by-step explanation:

What is the area, in square units, of a rectangle XWYZ, with vertices X(0, 0) W(0,7) Y (3,7) Z(3,0)? ​

Answers

Answer:

21

Step-by-step explanation:

A=LxW=7x3=21 The length was 7 and the width was 3.

You need a 55% alcohol solution. On hand, you have a 50 mL of a 25% alcohol mixture. You also have 60% alcohol mixture. How much of the 60% mixture will you need to add to obtain the desired solution?

Answers

Answer:

  300 mL

Step-by-step explanation:

There is a simple diagrammatic way to solve mixture problems, illustrated in the attachment. In the left column are the available solution percentages. In the center is the percentage of the desired mix. In the column to the right of that are the diagonal differences between the desired value and the constituent values. Those differences represent the proportions of the constituents on the same horizontal line.

__

Here, that means 30 parts of 60% solution are needed for 5 parts of 25% solution. Since we have 50 mL of 25% solution, we can multiply these ratio values by 10 mL to find the quantities needed. That has been done here in the right-most column.

300 mL of 60% solution are needed to obtain the desired mixture.

__

Additional comment

If you want to write an equation, you can let x represent the quantity of high-concentration solution needed. Then the amount of alcohol in the mix is ...

  0.60x +0.25(50) = 0.55(x +50)

  0.05x = 0.30(50) . . . . . . . subtract 0.55x+0.25(50)

  x = 300 . . . . . . . . . . . . mL of 60% solution needed

5 aplicaciones de notación científica en la vida cotidiana

Answers

Answer:

In scientific notation:

The first number in the mathematical equation is called the "coefficient." The coefficient must be greater than or equal to one and less than 10. For example to create the scientific notation for the number 256, the coefficient would be 2.56.

The second number in the equation is a power of 10, written as 10 with an exponent, like 102 which stands for 10 x 10.

Combining these two numbers would create this scientific notation equation for 256 - 2.56 x 102.

A negative exponent shows the decimal is moved that many places to the left and a positive exponent shows the decimal is moved that many places to the right.

Scientific Notation Examples

Here are examples of scientific notation:

1 = 100

10 = 1 x 10¹

100 = 1 x 10²

1000 = 1 x 10³

10000 = 1 x 104

100000 = 1 x 105

42,000,000 = 4.2 x 107

676,000,000,000 = 6.76 x 1011

0.1 = 1 x 10-1

0.01 = 1 x 10-2

0.001 = 1 x 10-3

0.0001 = 1 x 10-4

0.00001 = 1 x 10-5

0.00000078 = 7.8 x 10-7

0.000000000000000 = 3.56 x 10-13

Real Life Examples of Scientific Notation

Explore how scientific notation is used to express large numbers.

7 x 109 = Population of the world is around 7 billion written out as 7,000,000,000

1.08 x 109 = Approximate speed of light is 1080 million km per hour or 1,080,000,000 km per hour

2.4 x 105 = Distance from the Earth to the moon is 240 thousand miles or 240,000 miles

9.3 x 107 = Distance from the Earth to the sun is 93 million miles or 93,000,000 miles

3.99 x 1013 = Distance from the sun to the nearest star (Proxima Centauri) is 39,900,000,000,000 km

9.4605284 × 1015 = Distance light travels in a year is less than 9.5 trillion kilometers, or exactly 9,460,528,400,000,000 km

1.4 x 108 = Amount of water surface area on the Earth is 140 million square miles or 140,000,000 square miles

1.0 x 1014 = Approximate number of cells in the human body is 100 trillion or 100,000,000,000,000

1.332 x 10-3 = Density of oxygen is 1332 millionths g per cc or .001332 g per cc

2.4 x 10-3 = Diameter of a grain of sand is 24 ten-thousandths inch or .0024 inch

7.53 x 10-10 = Mass of a dust particle is 0.000000000753 kg

9.1093822 × 10-31 = Mass of an electron is 0.00000000000000000000000000000091093822 kg

4.0 x 10-7 = Length of the shortest wavelength of visible light (violet) is 0.0000004 meter

The ceiling of Stacy's living room is a square that is 22 ft long on each side. Stacy knows the diagonal of the ceiling from corner to corner must be longer than 22 ft, but she doesn't know how long it is.

Solve for the length of the diagonal of Stacy's ceiling in two ways:

(a) Using the Pythagorean Theorem.

(b) Using trigonometry.

Round each answer to the nearest whole number and make sure to show all your work. (Hint: the answers should be the same!)

Answers

Answer:

I don't understand trig very well but I do get pythagorean theorem, which I can help with. Your final answer will end up being 31.

Step-by-step explanation:

First off the formula for pythagorean theorem is a^2 + b^2 = c^2

We know that C stands for the hypotenuse so we want to know what C is.

A and B are both 22 so our equation turns into 22^2 + 22^2 = c^2

22 squared is 484 which leads to 484 + 484 = c^2

484 + 484 = 968

968 is our C^2 but we still need to find the square root

The square root of 968 is 31.11269837... and a whole lot of other numbers

You round that out to 31 and get the length of your diagonal

A golfer hits a ball from an elevated tee 75 feet high at an initial velocity of 115 ft/sec at angle of elevation of 57⁰ a. Write a parametric equation that describes the position of the ball at time t.

Answers

parametric equation

x=115tcos57

y=115tsin57-16t^2

Pls help me in this khan academy exercise

Answers

Answer:

x= 180° - (103°+33°)

x= 180° - 136°

x= 44°

NO LINKS!!

Determine if each statement is always, sometimes, or never true​

Answers

Answer:

sometimessometimesalways

Step-by-step explanation:

These questions can be answered by reference to the formulas for the volume of a cone, cylinder, and sphere.

__

Cone

  V = 1/3πr²h . . . volume depends on height as well as radius

Cones with the same radius will sometimes have the same volume. (When they have the same height.)

__

Cylinder

  V = πr²h . . . volume depends on height as well as radius

Cylinders with the same radius will sometimes have the same volume. (When they have the same height.)

__

Sphere

  V = 4/3πr³ . . . volume depends only on radius

Spheres with the same radius will always have the same volume.

SometimesSometimesAlways

Lets note the formulas first to make clear.

For cone

V=1/3πr²h

For cylinder

V=πr²h

For sphere

V=4/3πr³

We can see

for first two

the volume depends upon the height hence if they have same radius then their volume may or may not be same

For sphere

volume depends upon radius so if radius is same the volume is same

Skylar wanted to show the proportional relationship between the dollar value of the original investment, x, and its value after a 10% decrease, y. He creates the table of values shown. Does it model the relationship? Explain. Then, provide a correct equation for the relationship Skylar wants to model.

Answers

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

How to analyze a relationship between the two variables

Let be x and y the original investment and the value after applying the change, both in monetary units. A direct relationship is observed by following this model:

y = (1 + r/100) · x     (1)

Where r is change rate, in percentual units.

After checking the information of the table, it is to notice that the table fulfills the behavior of a direct relationship described by the linear equation y = 0.9 · x. #SPJ1

Remark

The table of the change in investment with respect to initial investment is missing and is now introduced below:

(x₁, y₁) = (75, 7.5), (x₂, y₂) = (100, 10), (x₃, y₃) = (200, 20), (x₄, y₄) = (300, 30), (x₅, y₅) = (400, 40)

To learn more on direct relationships, we kindly invite to check this: https://brainly.com/question/14293770 #SPJ1

ALEKS Knowlege Check:

Evaluate the expressions. ​

Answers

Answer:

1, -1

Step-by-step explanation:

(-2/3)⁰

Anything that is raised to the power of 0 automatically becomes the value 1. Knowing this, apply the exponent.

(-2/3)⁰ = 1

-(7)⁰

Now using what we know, apply the exponent to the 7.

-(7)⁰ = -1

Notice that the negative is NOT inside the parenthesis and therefore does NOT get affected by the power.

Find the distance between the points (7,14) and (18,5).

Answers

Answer:

Exact distance = [tex]\sqrt{202}[/tex]

Approximate distance = 14.2127

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

Work Shown:

[tex](x_1,y_1) = (7,14) \text{ and } (x_2, y_2) = (18,5)\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(7-18)^2 + (14-5)^2}\\\\d = \sqrt{(-11)^2 + (9)^2}\\\\d = \sqrt{121 + 81}\\\\d = \sqrt{202}\\\\d \approx 14.2127\\\\[/tex]

Note: I used the distance formula. Though you could plot the points, form a right triangle, and use the pythagorean theorem as an alternative route. The distance formula is effectively a modified version of the pythagorean theorem.

Select the correct answer.
Which statement is true about this equation?



A.
It represents neither a relation nor a function.
B.
It represents a function only.
C.
It represents both a relation and a function.
D.
It represents a relation only.

Answers

Answer:

Once the equation is given, the question can be answered, with no equation, no one can find the answer

Step-by-step explanation: I will edit my answer when the equation is given

Answer: a

Step-by-step explanation:

The radius of a circle is 7 m. Find its circumference in terms of \piπ

Answers

Answer:

I think its 43.98 or 44 I think its one of those

Step-by-step explanation:

C=2πr=2·π·7≈43.9823

=2π(7)=2⋅722⋅7=2⋅22=44 cm.

Nine of the numbers 1, 2, 3, 4, 5, 6, 7, 8, 9, 10 are to be put in two groups so that the sum of the numbers in each group is a multiple of four.

What is the largest number that could be left out?

Answers

Answer:

13,62,75,48,1092

Step-by-step explanation:

1+3=4, 6+2=8, 7+5=12, 4+8=12& 1+0+9+2=12.

Determine the equation for a circle in standard form with a radius of 18, and center (18,-18).

Answers

Answer:

(x-18)²+(y+18)²=18².

Step-by-step explanation:

1) the formula is: (x-x₀)²+(y-y₀)²=r², where (x₀;y₀) - coordinates of the centre, r - the length of the radius;

2) according to the formula above:

(x-18)²+(y+18)²=18².

You pick a card at random.
1 2 3 4
567
What is P(not even)?
Write your answer as a fraction or whole number.

Answers

Answer:

p7

Step-by-step explanation:

If it includes 4 then 0.8, if not then 0.6.

Two consecutive numbers have a sum of 107. What is the larger of the two numbers?

Answers

Answer:

54

Step-by-step explanation:

54 + 53 = 107

54

[tex] \: \: \: \: \: \: \: \: \: \: \: \bold{54 + 53 = 107}[/tex]

Note : To solve a problem like this, all we have to do is find a number that matches the result, in this case it is [tex]\bold{54}[/tex] and [tex]\bold{53}[/tex]

[tex]\therefore[/tex] it gives us a result of [tex]\bold{107.}[/tex]

13 yd
10 yd
8 yd
What is the area in square yards

Answers

Answer:520 yd

Step-by-step explanation:

multiply 13 x 10 x 8 then divide by 2


I think

Please help! i’m horrible at math and i don’t want to fail!!! 6-1: MathXL for School: Practice & Problem Solving
Due 04/27/
5.1.PS-13
Question Help
A bag contains 9 white marbles and 54 red marbles. If a representative sample contains 2 white
marbles, then how many red marbles would you expect it to contain? Explain.
Because the ratio of white marbles to red marbles is in the population, the expected number of
red marbles is times the number of white marbles in the representative sample. There should be
red marbles.

Answers

Answer:

12 red marbles

Step-by-step explanation:

9/4.5 to get 2 white marbles

54/4.5 to get 12 white marbles

Need Help ASAP! no links please

Answers

Answer:

c

Step-by-step explanation:

Each of the five spaces on the spinner are equal so the theoretical probability for one space (Q) is 1/5. For the experimental probability, they spun it 15 times and 4 times it landed on Q so 4/15 times.

What is the surface area of this triangular pyramid? 3 m 3 m 3 m 3 m 2.6 m​

Answers

[tex]\stackrel{\textit{3 standing triangles}}{3\left[\cfrac{1}{2}(\stackrel{b}{3})(\stackrel{h}{3}) \right]}~~ + ~~\stackrel{\textit{triangular base}}{\cfrac{1}{2}(3)(2.6)}\implies 13.5~~ + ~~3.9\implies 23.4~m^2[/tex]

A number is chosen at random from 1 to 50. Find the probability of selecting numbers with a last digit of 9.

Answers

Answer:

10%

Step-by-step explanation: There are 5 numbers between 5 and 50 that end in 9. 5 is 10 percent of 50. Pls give brainliest.

Other Questions
what is kind of property is denisty? Find the area and circumference of each shaded sector. Use 3.14 for . Round to thenearest tenth. Classify the following type of stoichiometry problem: How many cubic centimeters of oxygen are produced from decomposing 5.00 mL of steam? (Sec.9.3)(a) massmass problem(b) massvolume problem(c) volumevolume problem(d) molemole problem(e) none of the above If you randomly select a letter from the phrase "Brandon loves to eat at Red Robin," what is the probability that you select a consonant? (Your answer must be in the form of a reduced fraction.) a proposition can best be described as an opinion with ___?evidencelots of expert factspersuasive techniquesPLAN or call to action Mrs. Smith decides to buy 3 sweaters and a pair of jeans. She has $120 in her wallet. If the price of the jeans is $35, what is the highest possible price of a sweater, if each costs the same? Find the lateral surface area of the cylinder. Round your answer to the nearest tenth. this is important pls help Please helpWrite two sentences to explain how taxes support the economy WILL GIVE BRAINLIEST AND 20 POINTSHow is the Third Wave salute a key detail in the experiment and in the texts central ideas? The salute proved that the students shared the same attitude as the Nazis, because it resembled the Nazi salute. The salute demonstrated how people could be brainwashed, because students would salute each other even outside of class. The salute was evidence of how the Nazis were a group of people who were brainwashed, because the salute resembled the Nazis salute. The salute illustrated how students were able to recruit new members, because students would salute each other even outside of class Which sentence is punctuated correctly?a. As reported in Forbes, the happiest companies to work for are; Keller Williams Realty, Nike, and Total Quality Logistics.b. As reported in Forbes, the happiest companies to work for are: Keller Williams Realty, Nike, and Total Quality Logistics.c. As reported in Forbes, the happiest companies to work for are Keller Williams Realty, Nike, and Total Quality Logistics.(c) As reported in Forbes, the happiest companies to work for are Keller Williams Realty, Nike, and Total Quality Logistics. Food Express is running a special promotion in which customers can win a free gallon of milk with their food purchase if there is a star on their receipt. So far, 219 of the first 264 customers have not received a star on their receipt. So far, 147 of the 156 costumers have not received a star on their receipts. What is the experimental probability someone will win a free gallon of milk? A pistol is accidentally discharged vertically upward at a height of 3 feetabove the ground. If the bullet has an initial muzzle velocity of 200 feetper second the path of the bullet is modeled byh (t) = -16t + 200t + 3.A. How long does it take for the bullet to reach its maximum height.Round to nearest hundredth.B. What is the maximum height?C. How long will it take for it to hit the ground?D. When will the bullet be 403 feet above the ground? HELP I REALLY NEED HELPPPPP How does Atticus Finch employ generalization in his closing argument? PLEASE HELPEstimate the square root to the nearest (a) integer and (b) tenth. Identify the statements that describe the u. S. Railroad system in the 1850s. If you flipped a fair coin 18 times, about how many times would you expect heads to appear? please ansewr i need help Hajime, a new manager, has a new project idea. Before she begins building support for her idea, she begins by __________, which is explaining the idea to her boss to get his approval to seek wider support. Group of answer choices horse trading bootlegging clearing the investment making cheerleaders getting the blessing How do I pick a year to live like I was born in 1990 and I like art?