Complete the point slope equation of the line through (1,3) and (5,1)

Answers

Answer 1

Answer:

Step-by-step explanation:

(1-3)/(5-1)= -2/4= -1/2

y - 3 = -1/2(x - 1)

y - 3 = (-1/2)x + 1/2

y - 6/2 = (-1/2)x + 1/2

y = (-1/2)x + 7/2


Related Questions

Solve the system using elimination and describe your steps.

3x + y = 9
5x + 4y = 22
-------------------

Answers

Answer:

x = 2,  y=3

Step-by-step explanation:

3x + y = 9

5x + 4y = 22

Multiply the first equation by -4

-4(3x + y) = 9*-4

-12x -4y = -36

Add this to the second equation to eliminate y

-12x -4y = -36

5x + 4y = 22

---------------------------

-7x    = -14

Divide each side by -7

-7x/-7 = -14/-7

x = 2

Now find y

3x+y = 9

3(2) +y = 9

6+y = 9

Subtract 6 from each side

-6+6 +y = 9-6

y = 3

Answer:

x = 2, y = 3

Step-by-step explanation:

3x + y = 9 (1)

5x + 4y = 22 (2)

Multiply equation (1) by -4 and add to equation (2)

-12x - 4y = -36

5x + 4y = 22

-7x = -14

x = 2

Using any equation, solve for y

5(2) + 4y = 22

4y = 12

y = 3

Solve by completing the square:
x2 + 3x – 9 = 0

Answers

Answer:

Step-by-step explanation:

x = 9/5

The solution of the equation [tex]x^2 + 3x - 9 = 0[/tex] by completing the square would be [tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex].

Used the concept of a quadratic equation that states,

An algebraic equation with the second degree of the variable is called a Quadratic equation.

Given that the equation is,

[tex]x^2 + 3x - 9 = 0[/tex]

Now completing the square as

[tex]x^2 + 3x - 9 = 0[/tex]

Add and subtract by 9/4,

[tex]x^2 + 3x + \dfrac{9}{4} - \dfrac{9}{4} - 9 = 0[/tex]

[tex]x^2 + 3x + ( \dfrac{3}{2})^2 - \dfrac{9}{4} - 9 = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{9}{4}+ 9) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 - ( \dfrac{45}{4}) = 0[/tex]

[tex](x + \dfrac{3}{2} )^2 = ( \dfrac{45}{4})[/tex]

Taking square root on both sides,

[tex](x + \dfrac{3}{2} ) = \pm ( \dfrac{\sqrt{45}}{2})[/tex]

Therefore, the solution of an equation is,

[tex]x = \pm ( \dfrac{\sqrt{45}}{2} - \dfrac{3}{2} )[/tex]

To learn more about the quadratic equation visit:

brainly.com/question/1214333

#SPJ6

Use the Distributive Property to write an expression equivalent to 4​(p-12​).

Answers

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

I hope this helps!

Answer:

4p - 48

Step-by-step explanation:

(4 × p) + (4 × 12)

Solve this brain teaser, please!!!

Answers

Answer:

0 in the end they all burn out

Step-by-step explanation:

Answer: 10

Step-by-step explanation:

Write a quadratic function with a vertex at (-9,13).

Answers

Answer:

y = x² + 18x + 94

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Here (h, k) = (- 9, 13) and letting a = 1, then

y = (x + 9)² + 13 ← expand (x + 9)² using FOIL

   = x² + 18x + 81 + 13

   = x² + 18x + 94

y = (x+9)^2+ 13

Hope that helps.

The volume of the giant beach ball is approximately 267.95 feet^3 . Find the diameter of the ball. Use 3.14 for pie.

Answers

Answer:

8 feet

Step-by-step explanation:

Hello, I can help you with this.

the volume of a sphere is given by.

[tex]Volume= \frac{4}{3} \ \pi\ radius^{3}\\\\[/tex]

Step one

isolate radius

[tex]\frac{3}{4}* volume= \pi\ radius^{3}\\\\\\\ \frac{3}{4 \pi }* volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}[/tex]

According to the question the volume is 267.95 cubic feet , and pi= 3.14

put this values into the equation

let

volume =267.95

pi=3.14

[tex]volume=radius^{3}\\radius=\sqrt[3]{\frac{3}{4 \pi }* volume}\\radius=\sqrt[3]{\frac{3}{(4 *3.14) }*267.95}\\radius=\sqrt[3]{64}\\\\radius=4[/tex]

so the radius of the beach ball is 4 feet, but we need its diameter

Diameter=2* radius

radius=4 feet

Diameter= 4 feet*2

Diameter=8 feet

what a big ball¡¡

I hope it helps, have a great day.

Question 5 (1 point)

Answers

Answer:

B. [tex]\frac{d + 13}{d + 4}[/tex]

Hope this Helps :)

What is the value of x? Leave answer in simplest radical form.
8
60°

Answers

Answer:

Your answer is A . 8

Step-by-step explanation:

hope it helps !

During the 1920's there was an overproduction of consumer goods. What happened to the price of goods when demand did not increase?

Prices Increased
Prices decreased
Prices Skyrocketed
Prices stayed the same

Answers

Answer:

Prices decreased

Step-by-step explanation:

What happened to the price of goods when demand did not increase is prices decreased.

A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle

Answers

Answer:

The answer is A I JUST DID it

The cross section of the figure is Pentagon.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

A plane intersects a pentagonal pyramid horizontally as shown.

Now, By the given figure,

The plane slices through the pentagonal pyramid horizontally and forms a pentagon shaped cross-section.

Hence, It represent the Pentagon.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

What is the value of b? -8/5b = 8

Answers

Answer:

-0.2 or -2/10

Step-by-step explanation:

hope this helps

What type of function is represented?

Answers

Answer:

b

Step-by-step explanation:

ITS B NOT C ITS B ITS B ITS B.

A cube has a volume of 8 cubic feet. What is the length of the cube?

Answers

Answer:

The side length is 2 ft

Step-by-step explanation:

A cube has a volume of

V = s^3

8 = s^3

Take the cube root of each side

8 ^ 1/3  = s^3 ^1/3

2 = s

What if the value of x?

Answers

Answer:

x = 5

Step-by-step explanation:

This is a right triangle with hypotenuse x

We can use the Pythagorean theorem

a^2+b^2 = c^2

3^2+4^2 = x^2

9+16= x^2

25=x^2

Take the square root of each side

sqrt(25) = sqrt(x^2)

5 = x

Help me please help me helpm

Answers

Answer:

[tex]g(x) = {(x + 9)}^{2} [/tex]

1. which is greater value 0.4 3/4 0.15

2. which is least value 2 and 2/3, 2.45, 2 and 2/5

3.which is the greater value 3.95, 3 and 5/6, 3 and 4/5
ANSWER THEM ALLL

Answers

1.) 3/4, 2.) 2 and 2/3, 3.) 3.95

what is the distance between the points (-4,0) and (-7, -14) ?​

Answers

Answer:

Step-by-step explanation:

(-4,0) ; (-7, -14)

[tex]d=\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}\\\\ =\sqrt{(-7-[-4])^{2}+(-14-0)^{2}}\\\\ =\sqrt{(-7+4)^{2}+(-14)^{2}}\\\\=\sqrt{(-3)^{2}+(-14)^{2}}\\\\=\sqrt{9+196} \\\\=\sqrt{205} \\\\=14.3178[/tex]

help me with this please I don't exactly get it

Answers

Answer:

P = 40.56 in (ANS)

Step-by-step explanation:

radius = 8/2 = 4 in

semi-circle perimeter = pi * R = 3.14 * 4 = 12.56 in

figure perimeter = 12.56 + 10 + 8 + 10 = 40.56 in (ANS)

True or false.
If the dilated image is larger than the pre-image, then the scale factor of the dilation is less than 1.

Answers

Answer:

False

Step-by-step explanation:

In order for the dilated image to become larger, it has to have a scale factor that is more than one not less than one.

False, Because If the scale factor is greater than 1, the image is larger than the preimage.

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We know that;

If the scale factor is between 0 and 1, the image is smaller than the preimage. Dilations with a scale factor between 0 and 1 are called reductions.

And, If the scale factor is greater than 1, the image is larger than the preimage. Dilations with a scale factor greater than 1 are called enlargements.

Thus, The given statement is false.

Learn more about the mathematical expression visit:

brainly.com/question/1859113

#SPJ2

How many servings of
cups are in 33 cups of ice cream?

Answers

Answer:

I am 99% sure its 33 servings

Step-by-step explanation:

because the question says that "how many servings of cups are in 33 cups".

(hopefully im right) and HOPEFULLY THIS HELPS. : )

The graph of Y = COS X+ż is the graph of the y = cos(x) shifted in which direction?
T
2 units to the left
2
units to the right
units up
2 units down

Answers

Answer:

2 units up

Step-by-step explanation:

You're just taking the  entire graph of cos(x) and then adding 2 so it moves everything up.  If you added 2 to x BEFORE taking the cosine

(like y = cos (x+2) ), then you would shift it left 2.  Adding and subtracting from the x moves everything left or right.  Adding or subtracting at the end just moves it up and down.

The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

What is Translation?

A transformation that occurs when a figure is moved from one location to another location without changing its size or shape is called translation.

Given that;

To find the graph of y = cos x + 2 is the graph of the y = cos(x) shifted in which direction.

Here, The function is,

⇒ y = cos x

Now, After translate 2 units up, we get;

⇒ y = cos x + 2

Thus, The graph of y = cos x + 2 is the graph of the y = cos(x) shifted in ''2 units up.''

Learn more about the transformation visit:

https://brainly.com/question/30097107

#SPJ7

I need help nothing is working for the answer p÷3> 2

Answers

Answer:

p > 6

Step-by-step explanation:

Given

[tex]\frac{p}{3}[/tex] > 2 ( in fractional form )

Multiply both sides by 3 to clear the fraction

p > 6

Answer:

honestly idk

Step-by-step explanation:

it may be p (1/3)

hope this is right:000

If each quadrilateral below is a rectangle find the missing measure in #5

Answers

Answer:

What do you mean by #5?

Step-by-step explanation:

I WILL GIVE YOU BRAINLIEST, AND 30 POINTS SO PLEASE HELP ME, IT'S URGENT!

Answers

I think it’s the last one
I correct answer is the second one B

What is the value of this expression when c= -4 and d = 10?
1/4(c3+d2)

Answers

The value of the expression using BODMAS rule is 9.

What is simplification?

To simplify the arithmetic expression involving more operators, we need to  use BODMAS rule. The full form of BODMAS is Brackets (Parts of a calculation inside the bracket always come first), Precedence of brackets are : [{(bar)}], Orders (powers and square roots), Division, Multiplication, Addition, Subtraction.

For the given situation,

The values are c = -4, d = 10

The expression is 1/4(c^3+d^2)

Substitute the above values,

⇒ [tex]\frac{1}{4}(c^{3}+d^{2} )[/tex]

⇒ [tex]\frac{1}{4} (-4^{3} +10^{2} )[/tex]

⇒ [tex]\frac{1}{4}(-64+100)[/tex]

⇒ [tex]\frac{1}{4}(36)[/tex]

⇒ [tex]9[/tex]

Hence we can conclude that the value of the expression using BODMAS rule is 9.

Learn more about simplification here

https://brainly.com/question/23827397

#SPJ2

Answer: 9

Step-by-step explanation:no clue how I got it but the test marked it correct

PLEASE ANSWERRRRR! EASY!!!!!!!!!!!!!


People use water to​ cook, clean, and drink every day. An estimate of 17.2​% of the water used each day is for drinking. If a family uses 68.8 gallons of water a day for drinking​, how many gallons do they use every​ day?

Answers

What even is the 4 I guess

1. Jayden spent $46.20 on 12 gallons of gasoline. What was the price per gallon?

2. Jayla buys 1.2 pounds of bananas. The bananas cost $1.29 per pound. To the nearest cent, how much does Jayla pay for the bananas?

3.Billy ate 1/4 of a pizza, and Wi ate 1/3 of the same pizza. How much of the Pizza did they eat in all?
plz show the work

Answers

Answer: 1. $3.85

2. $1.55

3. 7/12

Step-by-step explanation:

1. Since you are finding out price PER gallon, you would divide $46.20 by 12 because Jayden bought 12 gallons.

2. Since they give you the price per gallon and the amount bought in this problem, you will multiply 1.2 and $1.29. Think of this as if you were buying 5 apples and each cost $1, you would do 5 x 1 to find the total cost. The same concept applies here.

3. To add 1/4 and 1/3 you would find a common denominator. The common denominator would be 12.  1/4 = 3/12 and 1/3 = 4/12. Now you can add them together, 3/12 + 4/12 = 7/12

49 increased by twice a number m

Answers

Answer:

The third one I think

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

First -> twice m is -> 2m

Then

49 increased so -> 49+2m

A factory sells backpacks for $40 each. The cost to make 1 backpack is $10.00. In addition to the costs of making backpacks, the factory has operating expenses of $12,000 per week. The factory’s goal is to make a profit of at least $9800 each week. Which inequality represents the number of backpacks ,x, that need to be sold each week for the factory to meet this goal?

Answers

Answer:

x (40-10) -12000≥980

The factory must sell 433 backpacks to meet its weekly goal.

Hi, to answer this question we have to write an inequality.

So, since the backpacks (x) are sold by $40 and the cost of making one is $10, the revenue per bag is equal to 40x and the cost is 10x.

12,000 of operating expenses are also expenses.

So, for the profit:

Profit = revenue- cost

P = 40x-10x-12,000

P = x (40-10)-12000

The factory goal is to make a profit of at least $980 each week, so, the profit must be greater or equal than 980.

x (40-10) -12000≥980

Solving for x

30x-12000≥980

30x≥980+12000

30x ≥12980

x≥12980/30

x≥432.6

x≥433 (rounded, because if the sell 432 they will not meet the goal)

The factory must sell 433 backpacks to meet its weekly goal.

Step-by-step explanation:

What are the odds against selecting a red marble

Answers

Answer: it’s the first one.

Step-by-step explanation:

Other Questions
Help please will give brainly! Claras friend Brian decides to find his median as well. Find the median and type it in the answer box. What does the median show us? The motion of an object can be described by itsOA. speed.OB. position.OC. directionOD. all of these Ms. Sanders put $5,200 in a savings account that pays 4.2% simple interest. Each year she withdraws the interest and treats herself to a visit to a spa. How much can she spend each year? A measure, often involving suspension of diplomatic or economic relations taken by a nation or group of nations against another nation to pressure it to change its behavior add or subtract (7x^2-x-2)-(-6x^3+3) Match each word with the correct definitionHolocausta part of a city where Jews wererequired to liveGenocidediscrimination and hatred toward JewishpeopleInhumanecruel without mercyanti-Semitismthe mass murder of Jews by GermanNazis during World War IIGhettothe mass murder of a group of peoplebased on their race, beliefs, or culture What did Nelson Mandela accomplish?Choose all answers that are correct. He was the first black president of South Africa. He led the group Spear of the Nation. He was awarded the Nobel Peace Prize. He served more terms than any other South African president. Lee el prrafo y escoge la opcin que contesta la pregunta. Read the paragraph and choose the option that answers the question.Si te gusta explorar calles y estructuras antiguas, entonces te encantara este lugar! Aprenders sobre la historia de los espaoles y otros grupos indgenas durante el tour del fuerte. Explorars los bosques nacionales y las cavernas exticas. Y no te olvides de comer un flan que es uno de los postres ms populares y sabrosos del pas!What country is the narrator describing in the reading? Dominican Republic Costa Rica Puerto Rico Argentina Which phrase describes the equator? Select three options. If you cant tell what the paragraph is, I will write in the comments of this question MAJOR HELP PLZZ!!!!!Which BEST explains why the US government has a system of checks and balances?A)It gives Americans the promise of ten basic rights and freedoms.B)It keeps any one branch of government from becoming too powerful.C)It makes the government think about how and where it spends money.D)It allows the people of the United States to watch over the government. A political partys presidential candidate is elected by ______? help please!! 10 points help plz question is in the photo In how many ways can you cut out and rearrange the letters of theword MATH? Show your samples or ways. Help me find the MAD volume please How many sundaes are there? A skier reaches the end of a 0.9 km track in 1.5 hours, at what speed does it travel?(Please help,I need the answer as soon as possible) There were 23 students running in a race. How many different arrangements of first, second, and third place are possible? For 15 points What 10 good ideas would you give to improve a zoo. Explain each with a sentence. How are oxygen and carbon connected through the atmosphere, geosphere, and hydrosphere. Give an explanation of how a plant might use all three spheres True or False: "What is the height of the tallest person in my class" is a statistical question