What is the equation of the line that passes through the point (2,-2) and has a slope of -1/2?

Answers

Answer 1

Answer:

y = - [tex]\frac{1}{2}[/tex] x - 1

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 )

Here m = - [tex]\frac{1}{2}[/tex] , then

y = - [tex]\frac{1}{2}[/tex] x + c ← is the partial equation

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

- 2 = - 1 + c ⇒ c = - 2 + 1 = - 1

y = - [tex]\frac{1}{2}[/tex] x - 1 ← equation of line

Answer 2

Answer:

y=-1/2x-1

Step-by-step explanation:

y-y1=m(x-x1)

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

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

y=-1/2x+2/2-2

y=-1/2x+1-2

y=-1/2x-1


Related Questions

Classify the polynomial and determine its degree.



The polynomial –2x2 – x + 2 is a
with a degree of
.

Answers

Answer:

Trinomial, 2

Step-by-step explanation:

Answer:

Trinomial, 2

Step-by-step explanation:

if U= π(r+h), find r when U =16/1/2 and h = 2/3/4

π = 3/1/7​

Answers

Answer:

r = 2.5

Step-by-step explanation:

U= π(r+h)

Where,

U = 16 1/2

h = 2 3/4

π = 3 1/7​

U= π(r+h)

16 1/2 = 3 1/7(r + 2 3/4)

33/2 = 22/7(r + 11/4)

33/2 = 22/7r + (22/7 * 11/4)

33/2 = 22/7r + 242/28

33/2 - 242/28 = 22/7r

(462-242) / 28 = 22/7r

220/28 = 22/7r

r = 220/28 ÷ 22/7

= 220/28 × 7/22

= (220 * 7) / (28 * 22)

= 1540/616

= 2.5

r = 2.5

help please I'm doing some math homework ​

Answers

Answer:

Slope is 5/2

Step-by-step explanation:

[tex]{ \boxed{ \bf{slope = \frac{y _{2} - y _{1} }{x _{2} - x _{1}} }}}[/tex]

Substitute the terms:

[tex]{ \tt{slope = \frac{7 - ( - 3)}{4 - 0} }} \\ = \frac{5}{2} [/tex]

Yeah I don’t know this

Answers

Answer:

very easy how fo you know this question oppps

For the triangle shown, what are the values of x and y?
60°
30°
6
Select the correct answer.
O x = 2V3, y = 473
O x= 3V3, y = 6/3
O x = 6/3, y = 12
O x = 6V3, y = 1273

Answers

Answer:

x = 6/√3 = 2√3

y = 2×2√3 = 4√3

So, 1st option is correct

Which number best represents the slope of the graphed line?

A. -5
B. -1/5
C. 1/5
D. 5

Answers

Answer:

A. -5

Step-by-step explanation:

First of all this is a line that shows a negative slope.

Secondly, the formula for slope is rise/ run.

5 is your rise and 1 is your run, therefore: -5/1

And this can be reduced to :  -5

Why is Triangle MAE congruent to Triangle TON

Answers

The most significant difference between the static and current electricity is that in static electricity the charges are at rest and they are accumulating on the surface of the insulator. Whereas in current electricity the electrons are moving inside the conductor.

Hope this helps I don't even know if your looking for this.

sentence
After several days of drilling, a water well is 80
meters deep. The well is being drilled at a rate of
20 meters per day.
How many more days will it take to reach a total
depth of 180 meters?

Answers

Answer:

it will take 5days to reach a total of 180meters

Step-by-step explanation:

80m+20+20+20+20+20

=180meters

=5days

TAKE YOUR TIME!!!! 75 POINTS!!!

Explain how data is transmitted over the internet. Make reference to the terms TCP/IP and why this system is needed.

Use this scaffold to help you write your response:

1. Identify and define the different components that is required to transmit data on the internet (e.g. TCP/IP/Computer)

2. Describe what each of these do

3. Explain how they work together to transmit data

4. Explain why each one is important in the system

5. Can you support your explanation with an example?

Answers

Answer:

TCP/IP stands for Transmission Control Protocol/Internet Protocol and is a set of protocols used to interconnect/connect network devices on the internet. think of it as a set of rules that kind of tell how the network works/ or should work, and what boundaries there are.

TCP/IP specifies how data is exchanged, via the internet. It basically provides communications that identify how/what packets the data should be distributed in, as well as, addressed, transmitted, and received at the destination.

TCP/IP requires a central management so it is capable of making networks reliable, and the added ability of recovering info/data automatically from any failure on any device on the network chain.

TCP also defines how applications can create access and channels of communication across a certain or any network. Like I mentioned before, it  manages how a message (a message can be any type of data that is being sent from one user to another, or and pieces of data that are being transmitted to and through various areas) is assembled into smaller packets before they travel across the internet and reassemble in the right order once reached at the destination address.

IP defines how to address and route each packet to make sure it reaches, said, destination. Each gateway computer on the network checks the IP address to determine where to forward the message.

bonus :

ASCII:

it is the American Standard Code for Information Interchange and is pronounced as (ask-ee).

This is a special code all machines use to receive and deliver data.

This standardized code will allow computers to translate data in the form of special characters.

Because ASCII is a standardized code for all computers, it's easier for them to share information this way without losing data in the translation.

*think about an iPhone sending a message to an Android. two different softwares, so how can messages be sent in the correct order and without any data being lost?

Please help me anyone

Answers

Replace x with -11 and solve:

Y = (-11)^2 + 11

(-11)^2 = 121

Y = 121 + 11

Y = 132

Answer: 132

Answer:

132

Step-by-step explanation:

y = x^2 +11

Let x = -11

y = (-11)^2 +11

  = 121+11

  = 132

This one is really confusing me

Answers

Answer:

D) 9

Step-by-step explanation:

8 + 9 + 10 + 7 =39

48 - 39 = 9

Answer:

Last option: 9

Step-by-step explanation:

48-8-9-5-10-7=9

Venita is factoring the expression 32 a b minus 8 b. She determines the GCF and writes the factored expression as 8 b (4 a minus 0). Which best describes Venita’s error?

Answers

Answer:

8b(4a-1)

Step-by-step explanation:

32ab-8b

8b(4a-1)

Answer:

Did ur question get answered ??

Step-by-step explanation:

solve this equation please​

Answers

Step-by-step explanation:

Number 1

[tex] log_{10}( {x}^{2} - 3x + 12 ) = 1 \\ log_{10}( {x}^{2} - 3x + 12 ) = log_{10}(10) \\ cancelling \: both \: logs \: we \: have \\ {x}^{2} - 3x + 12 = 10 \\ {x}^{2} - 3x + 12 - 10 = 0 \\ {x}^{2} - 3x + 2 = 0 \\ [/tex]

[tex]solve \: \: by \: factorisation \: method \\ {x}^{2} - 2x - x + 2 \\ {x}(x - 2) \: - 1(x - 2) \\ (x - 2)(x - 1) \\ therefore \: x = 2 \: or \: x = 1[/tex]

Number 2

question 3&4 help me please

Answers

Answer:

3. (1-7/9)÷2 = 2/9÷2 = 1/9

reciprocal of 1/9 is 9

4. x+2/x=3

if you solve it, you get x = 1 and x = 2, so last option, 1 and 2, is the answer

Answered by GAUTHMATH

Help me solve this pls

Answers

Answer:

BC=40.16479

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adj / hyp

cos 17 = BC / 42

42 cos 17 = BC

BC=40.16479

Nêu mệnh đề phủ định của mệnh đề sau và xét tính đúng sai của mệnh đề phủ định: ∀x∈R:x^{2} ≠ 1

Answers

Answer:

true

Step-by-step explanation:

[tex]existential \: element \: of \: real \: number \: \binom{o}{o} x {}^{2} = 1[/tex]

Which expression is equivalent to 10k + 17 - 7j - 18 - 11k? A. -8jk - 1 B. -7j - k - 1 C. -7j+k+1 D. -8j - k

Answers

Answer:

B

Step-by-step explanation:

10k + 17 - 7j - 18 - 11k

-k - 7j - 1

The Ramirez family and the Stewart family each used their sprinklers last summer. The water output rate for the Ramirez family's sprinkler was 40 L per hour.
The water output rate for the Stewart family's sprinkler was 15 L per hour. The families used their sprinklers for a combined total of 55 hours, resulting in a total
water output of 1575 L. How long was each sprinkler used?

Answers

Answer:

15.5

Step-by-step explanation:

Yes

Giải pt: 1 + 2sinxcosx = sinx + 2cosx

Answers

Answer:

even i dont know can help

Please help: 6m - m = 5/6(6m - 10)

Will mark brainliest!!

Answers

Answer:

No solution.

Step-by-step explanation:

[tex]6m-m=\frac{5}{6}(6m-10)\\5m=5m-\frac{25}{3}\\0\neq -\frac{25}{3}[/tex]

Therefore, there is no solution.

Analyzing the
Predict which statements are true about the intervals of
the continuous function. Check all that apply.
х
f(x)
01
-3
-15
-2
0
f(x) > 0 over the interval (- 3).
f(x) < 0 over the interval [0, 2].
f(x) < 0 over the interval (-1, 1).
f(x) > 0 over the interval (-2, 0).
f(x) > 0 over the interval [2, o).
-1
3
0
0
1
-3
2
0
3
15

Answers

Answer:

1 NO

2 YES

3 NO

4 YES

5 ÝE

Step-by-step explanation:

The true statements about the continuous function are:

f(x) ≤ 0 over the interval [0, 2].

f(x) > 0 over the interval (–2, 0).

f(x) ≥ 0 over the interval [2, )

What are the correct intervals of the continuous function?

Functions in Math's are used to show relationships between variables.

Next, let us test the given options;

(A) f(x) > 0 over the interval (-∞, 3).

Using the table of f(x), the values in (-∞, 3) are values less than 3; i.e. -3 to 2.

If f(2) = 0, then f(x) > 0 is not true

(B) f(x) ≤ 0 over the interval [0, 2].

The values in [0, 2] are values from 0 to 2; i.e. 0, 1 and 2.

If f(0) = 0, f(1) = -3 and f(2) = 0

Then, f(x) ≤ 0

(c) f(x) < 0 over the interval (−1, 1).

Using the table of f(x), the values in (-1, 1) are values between -1 and 1; i.e. 0

If f(0) = 0, then f(x) < 0 is not true

(d) f(x) > 0 over the interval (–2, 0).

Using the table of f(x), the values in (-2, 0) are values between -2 and 0; i.e. -1

If f(-1) = 3, then f(x) > 0 is true

(e) f(x) ≥ 0 over the interval [2, ∞)

Using the table of f(x), the values in [2, ) are values from 2; i.e. 2 and 3

If f(2) = 0 and f(3) = 15, then f(x) ≥ 0  is true

Finally, the true statements are:

f(x) ≤ 0 over the interval [0, 2].

f(x) > 0 over the interval (–2, 0).

f(x) ≥ 0 over the interval [2, ∞]

Read more about intervals of continuous functions at; https://brainly.com/question/11803482

Quadrilateral ABCD has vertices at A(0,0), B(0,2), C(6,2), and D(6,0). Find the vertices of the quadrilateral after a dilation with scale factor 3/2.

Answers

Answer:

A=0

B=0,3

C=9,3

D=9,0

Step-by-step explanation:

Multiplies all the vertices bay scale factor 3/2

In the parallelogram below,
z = [ ? ]°
124°
2z+16°

Helpp!

Answers

2z+16+124=180

2z=180-16-124

2z=40

z=40/2

Z=20°

I hope I helped you ^_^


The Right Answer Only You will get Reported if its wrong!!!!!

instruction find the measure of the indicated angle to the nearest degree​

Answers

Answer:

46

Step-by-step explanation:

I found the angle by taking the opposite side of the angle, 38, and dividing it by the hypotenuse, 53.

Then I used the inverse sine function on 38/53 to get the angle 45.81, which I rounded to 46.

The F ratio increases as _________. Group of answer choices the variability between means increases relative to the variability within groups the variability within groups remains the same the total variability decreases the total variability increases the variability between means decreases relative to the variability within groups

Answers

Answer:

The F-Ratio increases as, the variability between means increases relative to the variability within groups

Step-by-step explanation:

The F-Ratio is given as follows;

[tex]F-Ratio = \dfrac{MS_{between}}{MS_{within}}[/tex]

Where;

[tex]MS_{between}[/tex] = The variance between groups

[tex]MS_{within}[/tex] = The variance within groups

Therefore, as the F-Ratio increases, the variability between groups (means) increases relation to the variability within groups

if 7/12 has the same value as a fraction x/60.say what number is x?​

Answers

Answer: x = 35

Explanation:

To obtain a fraction of the same value, you must multiply or divide by the same number both on the denominator and numerator.
If 60/12 = 5, then that means the fraction 7/12 mustve been multiplied by 5. And since the number must be multiplied or divided by the same number,

7 x 5/12 x 5 = 35/60

Hope this helps, brainliest would be appreciated :)

Y and x have a proportional relationship, and y=4 when x=12

Answers

Answer:

multiply 4 by 12 okay bro

Answer:

y = [tex]\frac{1}{3}[/tex] x

Step-by-step explanation:

Given that y and x are proportional then the equation relating them is

y = kx ← k is the constant of proportion

To find k use the condition y = 4 when x = 12 , then

4 = 12k ( divide both sides by 12 )

k = [tex]\frac{4}{12}[/tex] = [tex]\frac{1}{3}[/tex]

y = [tex]\frac{1}{3}[/tex] x ← equation of proportion

Someone help me on this, thats my illustration for it its a lil long

Answers

The uppercase letters are the angles, while the lowercase letters are the sides. We have side 'a' opposite angle A, side b opposite angle B, side c opposite angle C.

We have this given info:

A = 25a = 13.2b = 25.5

Let's use the law of sines to find angle B

sin(B)/b = sin(A)/a

sin(B)/25.5 = sin(25)/13.2

sin(B) = 25.5*sin(25)/13.2

sin(B) = 0.81642164

B = arcsin(0.81642164) or B = 180 - arcsin(0.81642164)

B = 54.72817392 or B = 180 - 54.72817392

B = 54.72817392 or B = 125.27182608

When rounded to the nearest whole degree, we get B = 55 or B = 125.

However, I'll use the slightly more accurate values of B for the next two sections.

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

Let's consider the case that B = 54.72817392

This would have to mean

A+B+C = 180

C = 180-A-B

C = 180-25-54.72817392

C = 100.27182608  which rounds to C = 100

Through the law of sines we can say

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(100.2718 2608)*13.2/sin(25)

c = 30.73327084 which rounds to c = 30.7

One solution is

A = 25, B = 55, C = 100

a = 13.2, b = 25.5, c = 30.7

As you can probably guess, the phrasing "solve the triangle" means find all sides and angle measures.

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

Now we'll consider the case that B = 125.27182608

We follow the same steps as the previous section

A+B+C = 180

C = 180-A-B

C = 180-25-125.27182608

C = 29.72817392 which rounds to C = 30

and

c/sin(C) = a/sin(A)

c = sin(C)*a/sin(A)

c = sin(29.72817392)*13.2/sin(25)

c = 15.48842618 which rounds to c = 15.5

The other solution is

A = 25, B = 125, C = 30

a = 13.2, b = 25.5, c = 15.5

Check out the diagrams below.

how many square metres of floor are there in a room of 6 metres

ig something like that

Answers

Answer:

36² metres

Step-by-step explanation:

I'm assuming you mean 6 metre wide/long floor. Area is L*W so 6*6

Determine if \sqrt{36} 36 is rational or irrational and give a reason for your answer.

Answers

Answer:

Step-by-step explanation:

It's rational. The square root of 36 is either 6 or -6. Both are rational because both are integers.

Other Questions
Solve forx.(2x - 1) (5x+3) = 0 Bill Johnson, sales manager, and Diane Buswell, controller, at Current Designs are beginning to analyze the cost considerations for one of the composite models of the kayak division. They have provided the following production and operational costs necessary to produce one composite kayak.Kevlar $250 per kayakResin and supplies $100 per kayakFinishing kit (seat, rudder, ropes, etc.) $170 per kayakLabor $420 per kayakSelling and administrative expensesvariable $400 per kayakSelling and administrative expensesfixed $119,700 per yearManufacturing overheadfixed $240,000 per yearBill and Diane have asked you to provide a cost-volume-profit analysis, to help them finalize the budget projections for the upcoming year. Bill has informed you that the selling price of the composite kayak will be $2,000.(a) Calculate variable costs per unit. Variable cost per unit $Bill Johnson, sales manager, and Diane Buswell, co (b) Determine the contribution margin per unit. Contribution margin per unit $Bill Johnson, sales manager, and Diane Buswell, co (c) Using the contribution margin per unit, determine the break-even point in units for this product line. Break-even point Bill Johnson, sales manager, and Diane Buswell, co units(d) Assume that Current Designs plans to earn $270,600 on this product line. Using the contribution margin per unit, calculate the number of units that need to be sold to achieve this goal.Number of units Bill Johnson, sales manager, and Diane Buswell, co units(e) Based on the most recent sales forecast, Current Designs plans to sell 1,000 units of this model. Using your results from part (c), calculate the margin of safety and the margin of safety ratio. (Round margin of safety ratio to 1 decimal place, e.g. 25.5%.)Margin of safety $Bill Johnson, sales manager, and Diane Buswell, co Margin of safety ratio Bill Johnson, sales manager, and Diane Buswell, co%By accessing this Question Assistance, you will learn while you earn points based on the Point Potential Policy set by your instructor.(a) Calculate variable costs per unit.Variable cost per unit $Bill Johnson, sales manager, and Diane Buswell, co(b) Determine the contribution margin per unit.Contribution margin per unit $Bill Johnson, sales manager, and Diane Buswell, co(c) Using the contribution margin per unit, determine the break-even point in units for this product line.Break-even point Bill Johnson, sales manager, and Diane Buswell, co units(d) Assume that Current Designs plans to earn $270,600 on this product line. Using the contribution margin per unit, calculate the number of units that need to be sold to achieve this goal. Number of units Bill Johnson, sales manager, and Diane Buswell, co units(e) Based on the most recent sales forecast, Current Designs plans to sell 1,000 units of this model. Using your results from part (c), calculate the margin of safety and the margin of safety ratio. (Round margin of safety ratio to 1 decimal place, e.g. 25.5%.)Margin of safety $Bill Johnson, sales manager, and Diane Buswell, coMargin of safety ratio Bill Johnson, sales manager, and Diane Buswell, co% 3x (7x + 2) > 5x + 4 What fraction must be subtracted from the sum of 1/4 and 1/6 to have an average of 1/12 of all the two fractions A024) Earthquake Prediction - North Anatolian Fault, Turkey. Assuming you are a geologist/geophysicist consulting with the Turkish government, where would you predict would be the likeliest area to next experience a major earthquake in association with this fault system Which of the following is not a way to prevent drug misuse and abuse?A. Discuss all side effects with your doctor when you are taking opioidsB. Never take more opioids than you are prescribedC. Save all extra medications for future use once treatment is doneD. Store prescription opioids in a safe place, away from others The total cost, C, for running an advertisement in a local newspaper, The Free Press, is made up of an initial cost of $12 plus a charge of $5 per day. A rival newspaper, The Banner, is currently running a special on advertisements at $8 per day with no initial cost.a) Write an equation representing the cost in The Free Press.b) Write an equation representing the cost in The Banner.c) For each newspaper, create a table of values.d) Use Rapid Tables (will need to select 2 lines from the drop down - see example in relation to the Jason's Trip graph below) to graph each cost on the same set of coordinate axis. Your two lines will represent The Free Press and The Banner. You are also able to create the graph on other technology or a piece of paper. e) Which newspaper would you use for an ad that ran 1 day?f) Which newspaper would you use for an ad that ran 12 days? 7) 5(r + 2) = 8 + 57 The Paris Peace Accords in brought an end to theWar.* vietnam* lebanon civil * iran- iraq ILL BRAINLIST RIGHT NOW IF CORRECT Which statement best describes a representative democracy?A. Citizens dont vote, and decisions are made in the government without their input.B. Citizens elect officials who express voters interests in the government. C. Citizens dont have the power to vote because the government is already established. D. Citizens vote on all actions, and the government follows majority decisions. Find the midpoint of the line segment defined by the points: (5, 4) and (2, 1) (2.5, 1.5) (3.5, 2.5) (1.5, 2.5) (3.5, 1.5) Which of the following would represent the As-Is movie rental business process in 2010?Multiple ChoiceCustomer enters store, customer chooses movie, and customer pays for rental.Customer researches movie rental database online, customer chooses movie, customer picks up movie at movie store.Customer researches movie rental database online, customer chooses movie, and supplier ships movie to customer.All of these are correct. MC Qu. 87 Riemer, Inc. has four... Riemer, Inc. has four departments. Information about these departments is listed below. Maintenance is a service department. If allocated maintenance cost is based on floor space occupied by each of the other departments, compute the amount of maintenance cost allocated to the Cutting Department. (Do not round your intermediate computations.) Maintenance Cutting Assembly Packaging Direct costs$18,000 $24,000 $64,000 $39,000 Sq. ft. of space 750 1,250 2,250 2,500 No. of employees 7 3 7 7 An apple, potato, and onion all taste the same if you eat them with your nose plugged What is the volume of a cylinder, in cubic feet, with a height of 3 feet and a base diameter of 18 feet? Round to the nearest tenths place. if a,b,c,d,e are in continued proportion then a/c is equal to what ? Select 2 strategies that we can use to subtract 563-192 A. Add 100 + 90 + 2 B. Evaluate (563 - 200) + 8 C. Subtract 571 - 200 Alex is at the hardware store comparing different types of piping for a repair in his home kitchen.He can choose between copper piping or plastic piping. He knows that copper piping is stronger but more expensive. He also knows that plastic piping will work for the job that he is doing, and it is less expensiveBased on the information presented in this scenario, what can you determine about the copper piping? What two types of structures do compositions have? how far away is a train if you see the steam from is nozzle 4.5 secondsbefore you hear its sound?(take speed of sound as 331 m/sec)