Write a linear equation given the point and slope. (-7, 13); slope = -2

Answers

Answer 1

Answer:

y = -2x + 1

Step-by-step explanation:

The linear equation is generally written in y = mx + b form. Since m (the value of the slope) is already given, only the value of b must be determined. To do this, plug in x, y, and m for their values in the equation to get:

13 = -2 (-7) + b

Then, simplify.

13 = 14 + b

b = -1

Once you find the b value, plug everything back in and get y = -2x + 1.


Related Questions

What is 5^8 plus 9375?

Answers

Answer:

400000

Step-by-step explanation:

5^8 = 390625

390625 + 9375 = 400000

Answer:

400,000

Step-by-step explanation:

We solve for 5^8 first,

this means that 5 is being multiplied by itself 8 times.

5 x 5 x 5 x 5 x 5 x 5 x 5 x 5 = 390,625

Now we add this to 9,375:

390,625 + 9,375 = 400,000

Solve each inequality and graph it's solution set on a number line.
1. 0<2x-10<20
2. x+7<7 OR 5+2x>8

Pls Help 40 Points ​

Answers

Hey there!

1) 0<2x−10<20

0+10<2x−10+10<20+10(Add 10 to all parts)

10<2x<30

10/2 <2x/2 < 30/2 (Divide all parts by 2)

5<x<15

Answer:

5<x<15

Graph in first image

2) x+7<7

Step 1: Subtract 7 from both sides.

x+7−7<7−7

x<0

OR

5+2x>8

Step 1: Simplify both sides of the inequality.

2x+5>8

Step 2: Subtract 5 from both sides.

2x+5−5>8−5

2x>3

Step 3: Divide both sides by 2.

2x/2 > 3/2

x > 3/2

what is 1/3-(-5/3)=

Answers

Answer:

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

Step-by-step explanation:

1/3 - (-5/3)

Subtracting a negative is the same as adding a positive.

1/3 + 5/3 = 6/3, or 2

-35 POINTS- A bag contains 30 cards numbered 1 to 30. You are going to select one card, replace the card, and then draw a second card. What is the probability you will draw a 4 and then a number less than 10? Simplify your answer.

Answers

Answer:

36

Step-by-step explanation:

you simplify 26 simplify it again and the simplify answer is 36

Answer:

1 / 100. is the answer. got it correct.

Step-by-step explanation:

Help plz and thank u

Answers

Answer:

4

Step-by-step explanation:

Slope = 4

(0,-1) and (1,3)

correct answer only!!!
Question/answer choices below as pictures

Answers

Answer:

Last graph: [tex]\langle-7,-9\rangle[/tex]

Step-by-step explanation:

Here, [tex]u=\langle-2,-7\rangle[/tex] and [tex]v=\langle5,2\rangle[/tex]. Thus, [tex]u-v=\langle(-2)-5,(-7)-2\rangle=\langle-7,-9\rangle[/tex], making the last graph the correct answer.

A square is cut into two identical rectangles. Find the perimeter of each rectangle if the perimeter of the square is 48 cm.

thankyou ~​

Answers

Solution:

perimeter of rectangle = 2 ( Length + Width )

a square has all sides of similar length. thus [ length = width ]

Find length/width:

2 (length + length) = 48

2(length) = 24

length = 12 cm

width = 12 cm

⇒ The dimensions of square: 12 x 12

If the square cut into half, the dimensions of either length or width will half.

Therefore, the perimeter of rectangle:

→ 2 (length + width)

→ 2 ( 12 + 6 )

→ 2 ( 18 )

→ 36 cm

1 + 2 x 4x+1
4x^2 + 5x+1 x x^2-4


Answers

Answer: 1 + 2 x 4x+1=10

Step-by-step explanation: 4x^2 + 5x+1 x x^2-4= also= 10

Find the area of an equilateral triangle with a side length of 16 centimeters. Round to the nearest tenth.

Answers

As we know that the area of an equilateral triangle with side a is given by ;

[tex]{\boxed{\bf{Area_{(equilateral)}=\dfrac{\sqrt{3}}{4}a^{2}}}}[/tex]

So , now using formula in our question, putting the value of the side, we can thus obtain

[tex]{:\implies \quad \sf Area=\dfrac{\sqrt{3}}{4}(16)^{2}}[/tex]

Putting value of √3 ≈ 1.73 and cancelling 4 we have ;

[tex]{:\implies \quad \sf Area\approx 1.73\times 64}[/tex]

[tex]{:\implies \quad \sf Area\approx 110.72\:\: cm^{2}}[/tex]

[tex]{:\implies \quad \sf Area\approx 110.7\:\: cm^{2}}[/tex]

This is the required answer

write an algebraic expression for each phrase
a number n divided by 4.

Answers

The answer is 2 just took the text

please help!!
Write a matrix representing the system of equations

Answers

Answer:

[tex](4, -1, 3)[/tex]

Step-by-step explanation:

We have the system of equations:

[tex]\left\{ \begin{array}{ll} x+2y+z =5 \\ 2x-y+2z=15\\3x+y-z=8 \end{array} \right.[/tex]

We can convert this to a matrix. In order to convert a triple system of equations to matrix, we can use the following format:

[tex]\begin{bmatrix}x_1& y_1& z_1&c_1\\x_2 & y_2 & z_2&c_2\\x_3&y_2&z_3&c_3 \end{bmatrix}[/tex]

Importantly, make sure the coefficients of each variable align vertically, and that each equation aligns horizontally.

In order to solve this matrix and the system, we will have to convert this to the reduced row-echelon form, namely:

[tex]\begin{bmatrix}1 & 0& 0&x\\0 & 1 & 0&y\\0&0&1&z \end{bmatrix}[/tex]

Where the (x, y, z) is our solution set.

Reducing:

With our system, we will have the following matrix:

[tex]\begin{bmatrix}1 & 2& 1&5\\2 & -1 & 2&15\\3&1&-1&8 \end{bmatrix}[/tex]

What we should begin by doing is too see how we can change each row to the reduced-form.

Notice that R₁ and R₂ are rather similar. In fact, we can cancel out the 1s in R₂. To do so, we can add R₂ to -2(R₁). This gives us:

[tex]\begin{bmatrix}1 & 2& 1&5\\2+(-2) & -1+(-4) & 2+(-2)&15+(-10) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\0 & -5 & 0&5 \\3&1&-1&8 \end{bmatrix}[/tex]

Now, we can multiply R₂ by -1/5. This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ -\frac{1}{5}(0) & -\frac{1}{5}(-5) & -\frac{1}{5}(0)& -\frac{1}{5}(5) \\3&1&-1&8 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3&1&-1&8 \end{bmatrix}[/tex]

From here, we can eliminate the 3 in R₃ by adding it to -3(R₁). This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\3+(-3)&1+(-6)&-1+(-3)&8+(-15) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&-5&-4&-7 \end{bmatrix}[/tex]

We can eliminate the -5 in R₃ by adding 5(R₂). This yields:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0+(0)&-5+(5)&-4+(0)&-7+(-5) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&-4&-12 \end{bmatrix}[/tex]

We can now reduce R₃ by multiply it by -1/4:

[tex]\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\ -\frac{1}{4}(0)&-\frac{1}{4}(0)&-\frac{1}{4}(-4)&-\frac{1}{4}(-12) \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 2& 1&5\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

Finally, we just have to reduce R₁. Let's eliminate the 2 first. We can do that by adding -2(R₂). So:

[tex]\begin{bmatrix}1+(0) & 2+(-2)& 1+(0)&5+(-(-2))\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 1&7\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

And finally, we can eliminate the second 1 by adding -(R₃):

[tex]\begin{bmatrix}1 +(0)& 0+(0)& 1+(-1)&7+(-3)\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}\\\Rightarrow\begin{bmatrix}1 & 0& 0&4\\ 0 & 1 & 0& -1 \\0&0&1&3 \end{bmatrix}[/tex]

Therefore, our solution set is [tex](4, -1, 3)[/tex]

And we're done!

Mrs. Bankhead is planning a party for her son's 10th birthday. The table represents the
quote she received form Party City.
Number of
Balloons
2
4
6
8
Total Cost of
Balloons
6
12
18
24
7
1 point
The slope is:
2
ООО
6

Answers

The formula for slope is (y2 - y1)/ (x2 - x1)

Let's use (2,6) and (4,12)

12 - 6 = 6

4 - 2 = 2

6/2 = 3

The slope is 3.

select the digit in the thousands place for 689,234​

Answers

Answer: the thousands place is where the nine is

Step-by-step explanation: Hope this helps!

Answer:

The remaining number in thousands units is 9

---

Thank you so much for participate in the community of Brainly.com

I hope help you :)

Kind regards, Antonio.

Which of the following is a solution of y - x < -3?

(6, 2)
(2, 6)
(2, -1)

Answers

Answer:

(6,2)

Step-by-step explanation:

Answer:

(2,6)

Step-by-step explanation:

x=2

y=6

x-y<-3

2-6<-3

-4<-3

-3 is greater than -4

Hope it helps u

Please mark it as the brainliest answer...

Choose the best graph that represents the following systems of linear inequality.

Answers

Answer:

C

Step-by-step explanation:

using the power of elemination,looking at the first equation,we singled out the top 2, now looking at the 2nd equation, we see the y intercept is 2 meaning it has to be graph c

Allie is single, has an adjusted gross income of $25,005 and one exemption of $12400. How much is his tax according to the table? Hint: find taxable income first. $1246 $1263 $1318 $1324

Answers

Allie's tax amount is the amount deducted from his taxable income

Allie's tax amount is $1427

How to determine the tax?

The given parameters are:

Adjusted gross income = $25,005

Exemption = $12400

Start by calculating the taxable income using

Taxable income = Adjusted gross income - Exemption

So, we have:

Taxable income = $25,005 - $12400

Evaluate the differences

Taxable income = $12605

The question is incomplete.

So, I will use the table of the single taxable income tax bracket and rates, 2016

Using the table, the tax amount on an income of $12605 is:

Tax = $927.50 + 15% * (Amount - $9275)

So, we have:

Tax = $927.50 + 15% * ($12605 - $9275)

Evaluate

Tax = $1427

Hence, Allie's tax amount is $1427

Read more about taxable income at:

https://brainly.com/question/25783927

Answer:

The real answer is $1318

Step-by-step explanation:

I hope this helps

. On Mary’s MP3 player for everly 3 pop songs Maria had she also had 4 country songs. If she has 15 pop songs on her MP3 player, how many country songs does she have? ________________

Answers

Answer:

20

Step-by-step explanation:

every three pop add 4 country you will get 4 8 12 16 20 making 20 your answer

Stephen, Paul & Bridget share some money in the ratio 3 : 4 : 2.
In total, Stephen and Bridget receive £50.
How much does Paul get?

Answers

Answer:

  £40.

Step-by-step explanation:

In terms of ratio units, Stephen and Bridget together get 3+2 = 5, while Paul receives 4. That is, Paul gets 4/5 of their combined total, or ...

  4/5 · £50 = £40

Paul gets £40.

Given parameters:

Ratio of their money = 3 : 4 : 2

Total amount received by Stephen and Bridget = 50

Unknown :

How much did Paul get = ?

Solution:

The amount Paul got is a fraction of the total.

  We need to find the total amount first;

  Amount Stephen and Bridget got  = [tex]\frac{ratio of stephen and bridget}{total ratio} x total amount[/tex]

let the total amount = y;

                   50  = [tex]\frac{3+2}{9}[/tex] x y

                    [tex]\frac{5y}{9}[/tex]  = 50

                      5y = 450  

                      y = 90

Now, the amount Paul got;

                         = [tex]\frac{4}{9} x 90[/tex]

                          = 40

The amount Paul got is £40

Calculate the distinct permutation of the word "Math"​

Answers

Letters are

MATH

No repetitions

n=4

Distinct permutation:-

n!4!4×3×2×124

7b+2 b = 2
3(2c-10)
1+2.1y-0.9y+4

Answers

Answer:

If you were to solve for, 7b+ 2b = 2 then;

7b+ 2b = 2

Combine like terms first:

(7b + 2b)

9b = 2

Then divide by 9 from both sides to solve for b:

/9    /9

b = 2/9 or 0.222..

If you were to solve for, 3(2c - 10) then;

3(2c - 10)

Use the distributive property, and multiply 3 to both 2c and 10:

3(2c) - 3(10)

6c - 30

If you were to solve for, 1 + 2.1y - 0.9y + 4 then;

1 + 2.1y - 0.9y + 4

Combine like terms:

(1 + 4) (2.1y - 0.9y)

5 + 1.2

plss say hi and follow my yt paycake&kelp!

Answers

Answer:

hi

Step-by-step explanation:

Answer:

ok

Step-by-step explanation:

Approximately how many sentences should your Summary contain?

Answers

Answer:

5-6 I think

Step-by-step explanation:

What is 15% off 1200

Answers

Answer:

1020

Step-by-step explanation:

pls rate brainliest!

Answer:

1020

Step-by-step explanation:

First we need to find out what 15 is so we can divide 1200 by 100 to get 12 so 1% = 12 so 15 x 12 = 180

1200-180=1020

PLEASE HELP!!!!!!!The product of 2v3 and 3v12 in simplified form is?

Answers

Answer:

install socratic it will give you all answer no kiding

(9x + 4) (2x2 – 17x - 9) = 0
-

Answers

Step-by-step explanation:

So leave (9x+4) and factor (2x2-17x-9) .

Factors into (2x+1)(x-9).

Now set (9x+4)=0 and find x. x= -4/9

set (2x+1)=0 x = -1/2

set x-9=0 so x=9. you have 3 solutions which are -4/9, -1/2, and 9.

You pick a card at random. 2 3 4
What is P(4 or factor of 90)?
Write your answer as a fraction or whole number.

Sacas una carta al azar. 2 3 4
¿Cuánto es P(4 o factor de 90)?
Escribe tu respuesta como una fracción o como un número entero.

Answers

Answer:

P (4 or factor of 90) = 1

Step-by-step explanation:

Given :-

Three cards numbered 2, 3, 4

To Find :-

P (4 or factor of 90)

Solving :-

4 is required and we know that 2 and 3 are both factors of 90.

Therefore, P (4 or factor of 90) = 1

Solution :-

P (4 or factor of 90) = 1

Answer:

1

Step-by-step explanation:

P(2) = 1/3

P(3) = 1/3

P(4) = 1/3

2 and 3 are factors of 90

⇒ P(factor of 90) = P(2) or P(3) = 1/3 + 1/3 = 2/3

Therefore,

P(4 or factor of 90) = P(4) or P(factor of 90) = 1/3 + 2/3 = 1

In a construction project, you are required to create a perimeter wall for a rectangular garden that measures 600 feet long and 100 feet wide. You need to leave space for two gates on each of the longer sides of the garden. Each gate is 50 feet long. What is the total length of the wall?

Answers

Answer:

1,300 feet

Step-by-step explanation:

600 - 50 = 550

550 + 550 + 100 + 100 = 1,300

3. What figures are formed when a diagonal is drawn in a quadrilateral

a. triangles

b. squares

c. parallelograms


4.which is TRUE about the sides of parallelogram?


a. 1 pair of sides are parallel and equal

b. 2 pairs of sides are parallel and equal

c. 4 sides are equal


5.if two diagonal are drawn in a rhombus or in a square, which of the following will be formed


a. 2 triangles of the same size


b. 2 pairs of triangles of the same size


c. 4 triangles of the same size



6. which of the following describes the sides of a square or of a rhombus

a. no sides are equal



b. two sides are equal



c. all sides are equal​

Answers

Answer:

3. What figures are formed when a diagonal is drawn in a quadrilateral

a. triangles

4. which is TRUE about the sides of a parallelogram?

b. 2 pairs of sides are parallel and equal

5. if two diagonal are drawn in a rhombus or in a square, which of the following will be formed

a. 2 triangles of the same size

6. which of the following describes the sides of a square or of a rhombus

c. all sides are equal​

Hope it helps!!!Brainliest pls!!!

will give brainlliest
The table below shows four problems using decimals. Problem Number Problem 1 One ounce of pretzels has 2.93 g of protein. How many grams of protein are in a 6-ounce package of pretzels? 2 Paul rides his bike at an average rate of 13.8 miles per hour. If he rode for 3.2 hours, how far did he ride? 3 Sonya made an 8-slice whole wheat pizza with cheese and veggies. If the whole pizza had 1567.9 calories, how many calories are in one slice? 4 One slice of multigrain bread has 12.4 carbs. Jules uses 6 slices to make sandwiches for his friends. How many carbs did he use? Which problem would be solved using division, and what is the solution to the problem? will give brainlliest

Answers

Answer:

its A

Step-by-step explanation:

Answer:

It is c

Step-by-step explanation:

Emmett deposited $90 in an account earning 5% interest compounded annually.
To the nearest cent, how much will he have in 2 years?
Use the formula B=p(1+r)t, where B is the balance (final amount), p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.

Answers

The value of the account after two years given the amount deposited and the rate of interest would be  $99.23.

What is compound interest?

Compound interest is when both the amount deposited and the interest already accrued increase in value when interest is paid.

What is the value of the account?

The formula that can be used to determine value of the account is:

B=p(1+r)^t

where:

B =  balancep =  principal r = the interest ratet = time

$90(1.05)^2 = $99.23

To learn more about compound interest, please check: https://brainly.com/question/26367706

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In many fictional stories, characters must overcome a difficult journey to accomplish a specific goal. Think about the main character in a novel you recently read (The Hobbit, A Wrinkle in Time, or The Old Man and the Sea). Consider the journey the main character participated in and how the character dealt with that journey. Next, think about whether the character learned more from participating in the journey or from achieving his or her goal. You will explain your thoughts about the main character in a group discussion.Now that you have considered the discussion topic, write a one paragraph summary of the journey the main character completes in the novel you selected. Make sure your summary includes the name of the novel and the main character you are discussing.I choose the Hobbit!! Emily belongs to anInternet music service that charges $5.99 per monthand $0.89 per song. Write and solve an equation tofind the total amount Emily spends if she downloads10 songs this month. What can amber do to make sure no one else can access her document? Find the distance between the lines with equations 7x - 5y + 4 = 0 and y = 7/5x - 10a.6.3b.6.28c.6.29d.6.31 Plz help witch of the following is equal to 4 and 1/2 divided by 2 and 2/3A.4 and 1/2 times 2 and 3/2B.9/2 times 8/3C.9/2 times 3/8D.41/2 times 3/22there is a screenshot if u need it Write a multiplication equation that represents the equation:how many 3/8s are in 5/4? How can a seedless vascular plant reproduce?They reproduce by using xylem vessels.They reproduce by producing flowers.They reproduce by using spores.They reproduce by carrying nutrients through phloem vessels. 1. What is the worlds smallest country? 2. What are the first three books of The Old Testament? 3. How many sides does a dodecahedron have? 4. What were the names of Henry VIIIs six wives? 5. Banksy is most associated with which city? 6. What nationality was Charlie Chaplin? 7. What are the names of the five oceans?8. What are Africas BIG FIVE animals? 9. Which chess piece cant move in a straight line? 10. Which planet is closest to the Sun? ANSWER ALL THESE FOR BRAINLIEST The length of a rectangle is 8 ft longer than twice the width. If the perimeter is 64 ft, find the length and width of the rectangle. do you think they were used creatively? the huge house haunted human with it's size what sentence is this Analyze Effects What did Christian missionaries bring to China PLEASEEEE HELPPPPPWhich of these is an example of a primary source?Select one:a.encyclopediab.magazine or journal articlec.original news footaged.website with links to original documents Which of the following is also known as the ecosphere as it is a sum of all the ecosystems? a. Atmosphere b. Hydrosphere c. Biosphere d. Cryosphere Fill in the blank with the correct word for a/an or some mutations!1. Mutations are changes in DNA which can sometimes change the DNAI2. Mutations can beor be caused by exposure to harmfulorAnything in the environment that can cause a mutation is called a3. Only mutations in(egg and sperm) can be passed onType of mutations4mutation is when a base isor substituted with another base.5. Amutation is a deletion or addition of one or more bases that changes how youthe message6. A deletion is when a base isand an addition is when a base is7. If you change the DNA or RNA code it can change theandMutations can be good, bad or have no effect.8. Good example: Bacteria that areto our drugs9. Bad example:anemia andcancerClick to add speaker notescmsSUS 1:04 hi i need help on this one problem im not completely understanding what to do or what the answer is!! Solve for m.5m+72=2m+52Drag and drop the answer into the box.A. -1B. -1/7C.6/7D.7 Anne can make 6 headbands from meters of cloth. Which expression shows the amount of cloth needed to make 1 headband? What is the solution to the expression? Pls answer the question attached.I WILL MARK U BRAINLIST