Find the equation of the line L.

Find The Equation Of The Line L.

Answers

Answer 1

Answer:

y = ([tex]-\frac{1}{2}[/tex])x + 4

Step-by-step explanation:

(x1,y1) = (0,4) ; (x2,y2) = (8,0)

The equation will look like y=mx+b

Slope m = [tex]\frac{rise}{run}[/tex] =  [tex]\frac{y2-y1}{x2-x1}[/tex] = [tex]\frac{0-4}{8-0}[/tex] = [tex]\frac{-4}{8}[/tex] = [tex]-\frac{1}{2}[/tex]

Next, substitute either x1y1 or x2y2 (it's gonna give the same answer anyways) and m to the equation y=mx+b to find b.

y=mx+b

0 = ([tex]-\frac{1}{2}[/tex])8 + b

0 = -4 +b

0+4 = -4 +4 +b

b=4

Then substitute b and m to the equation y=mx+b

y = mx + b

y = ([tex]-\frac{1}{2}[/tex])x + 4


Related Questions

Ivanna and her husband are each starting a saving plan. Ivanna will initially set aside $50 and then add $50.85 every week to the savings. The amount A (in dollars) saved this way is given by the function A=50 +50.85N, where N is the number of weeks she has been saving. Her husband will not set an initial amount aside but will add $65.95 to the savings every week. The amount B (In dollars) saved using this plan is given by the function B=65.95N. Let T be total amount (in dollars) saved using both plans combined. Write an equation relating T to N. Simplify your answer as much as possible.​

Answers

Answer:

N=0.019666a-0.983284 or

A = 50.85n + 50

Step-by-step explanation:

Let's solve for n.

a = 50 + 50.85n

Step 1: Flip the equation.

50.85n + 50 = a

Step 2: Add -50 to both sides.

50.85n+50+-50=a+-50

50.85n n = a - 50

Step 3: Divide both sides by 50.85.

50.85n

50.85

=

a-50

50.85

n=0.019666a-0.983284

Let's solve for a.

a = 50 + 50.85n

A population of values has a normal distribution with μ=5.5 and σ=94.4. You intend to draw a random sample of size n=101.
Find P10, which is the score separating the bottom 10% scores from the top 90% scores. P10 (for single values)
Find P10, which is the mean separating the bottom 10% means from the top 90% means.
P10 (for sample means)

Answers

Answer:

P10 = P₁₀ = -115.5

Step-by-step explanation:

Shown in the picture

-7(11) is -77 or 81 ​

Answers

Hi there!

-7(11) is equivilent to -7*11 which equals -77.

The answer is -77
This so because 7x11=77, bug the negative would make it -77

prove that: (sinθ/1+cosθ) + (1+cosθ/sinθ) = 2cosecθ
[tex] \: prove \: that: \frac{ sinθ}{1+cosθ}+ \frac{1+cosθ}{sinθ} = 2 \: cosec \: θ [/tex]

Answers

Consider LHS

(sinθ/1+cosθ) + (1+cosθ/sinθ) =

= [sinθ(sinθ)+(1+cosθ)+(1+cosθ)]/[(1+cosθ)(sinθ)]

= [sin²θ+(1+cosθ)²]/[(1+cosθ)sinθ]

= [sin²θ+1+cos²θ+2cosθ]/[(1+cosθ)sinθ]

[°.° (a+b)² = +2ab+]

Here, a = 1, b = cosθ

= [(sin²θ+cos²θ)+1+2cosθ]/[(1+cosθ)sinθ]

= [1+1+2cosθ]/[(1+cosθ)sinθ]

[°.° sin²θ+cos²θ = 1]

= [2+2cosθ]/[1+cosθ)sinθ]

= [2(1+cosθ)]/[(1+cosθ)sinθ]

= 2/(sinθ)

[°.° 2/sinθ = cosecθ]

= 2cosecθ = RHS.

Hence, Proved.

Read more:

Similar Questions

If cosθ =1/3 , then sinθ = _____.

https://brainly.com/question/5470328?referrer

Verify the identity. cotθ * sinθ * secθ = 1 Which of the following four statements establishes the identitiy? A. cotθ *sinθ *secθ = sinθ/cosθ * sinθ * 1/cosθ = ...

https://brainly.com/question/25682447?referrer

BrainlyCPT~

Brainly Team

After solving the next three terms in
5120, 1280, 320, 80, …
How could you find the explicit rule?

Answers

a (n)=a1 × r^(n-1)

a1=5120

a2=1280

a3=320

a4=80

-->a2/a1=1280/5120=0.25

-->a3/a2=320/1280=0.25

-->a4/a3=80/320=0.25

ration(r) =0.25

a(n)=a1 × r^(n-1)

a (5)=5120×0.25^(5-1)

a (5)=5120 × 0.25 ^(4)

a (5) = 5120 × 0.00390625

a (5) = 20

sir? sir? are u there? help me -_-

Answers

Answer:

a) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9C7 to get 36.

However, you can also use this formula: [tex]nCr=\frac{n!}{r!(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{7!(9-7)!} =\frac{9!}{7!*2!}=\frac{9*8}{2!}=36[/tex]

b) The easiest way is to use a calculator such as a Casio brand or Sharp brand and key in 9P7 to get 181440.

However, you can also use this formula: [tex]nPr=\frac{n!}{(n-r)!}[/tex] where n is the total number of items and r is how many you are selecting.

Plug in values:

[tex]\frac{9!}{(9-7)!} =\frac{9!}{2!}=9*8*7*6*5*4*3=181440[/tex]

To go to school in the morning. I first walk to the garden shed at 6 km/h to collect my bicycle. I then cycle to school at 15 km/h. The total journey normally takes 18.5 minutes, One day, I am lote and I run to the shed at 18 km/h and cycle at 27 km/h. The journey takes me 10 min 10 s. How far is it from my house to the garden shed?​

Answers

Answer:

1

Step-by-step explanation:

Answer:

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

Step-by-step explanation:

Set up a table (attached) that summarizes and organizes the data.  Let A be the distance from the hosue (I assume) to the shed, and B the distance from the shed to the school.  We know that distance = (speed)*(time).

The total time for a trip is the sum of the two segments, A and B, divided by the speed for each segment.

                                TRIPS    

                 1     2  

House/Shed A 6     18   km/hr

Shed/School B 15     27   km/hr

              18'30"    10'10"   min

                18.5     10.16   min    

              0.308   0.169   hr        [Convert the minutes into hours]

[The distance divided by the speed will give the time required for each segment, A and B].  

Trip 1:  1)  A/6 + B/15 =   0.308    

Trip 2: 2)  A/18 + B/27 = 0.169

Trip 1:  A/6 + B/15 = 0.308

            A + (6/15)B = 1.85    [Multiply each side by 6]

              A = 1.85 - (6/15)B     [Rearrange]

             A = 1.85 - (0.4)B       [This will be the defination of A we'll use in the second equation]

Trip2:     A/18 + B/27 = 0.169

    (1.85 - (0.4)B)/18 + B/27 = 0.169   [Use A= 1.85 - (0.4)B from above]

   27(1.85 - 0.4B)/18 + B = 27*(0.169)   [Multiply each side by 27]

   1.5*(1.85-0.4B) + B = 4.58

   2.78 - 0.6B + B = 4.58

    0.4B = 1.85

                                      B = 4.47 km

Now use  B = 4.47 km in either original equation to find A.

A/18 + B/27 = 0.169

A  + (18/27)B = 18*(0.169)   {Multiply both sides by 18]

A  + (0.67)B = 3.042

A  + (0.67)(4.47) = 3.042

A  + (2.98) = 3.042

                                    A = 0.062 km

Trip A from House to Shed is   0.062 km

Trip B from Shed to School is   4.47 km

How do you solve the following equation: n+2*0.5n+1

Answers

Answer:

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

Step-by-step explanation:

The order of operators is the next:

ParenthesisExponentsMultiplication and divisionAddition Subtraction

So the first step is multiply and later add up the rest terms ([tex]0.5 = \frac{1}{2}[/tex]).

[tex]n+\frac{2}{2}n + 1 = 0\\n + n + 1 = 0\\2n = -1\\n = -\frac{1}{2}[/tex]

answer: n = -1/2
multiply first, add n terms
(2n + 1 = 0)
2n = -1
n = -1/2

4/5% of 15 - show work.
I got 12 but my teacher said it was wrong? what's the right answer then?​

Answers

Answer:

it is 12 but you probably didnt show our work

Step-by-step explanation:

Here is an example you can use:I multiplied 15 by .80 because I know that 4/5 is 80 of 100.

Answer:

0.12

Step-by-step explanation:

This is probably where you got confused

4/5% = 0.8%

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

15 / 10 = 1.5

1.5 / 10 = 0.15

0.15 / 10 = 0.015

or

15 / 1000 = 0.015

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

0.015 x 5 = 0.075

0.015 x 3 = 0.045

0.075 + 0.045 = 0.12

More Detailed Version

4/5 of 1% = 0.8%

0.8% is in the thousandths digit

15 / 1000 = 0.015

0.015 x 5 = 0.075

0.015 x 3 = 0.045

0.075 + 0.045 = 0.12

Brainly?

PLEASE HELp !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

c

Step-by-step explanation:

you have to divide.....hope this helps!


Find the area of the sector

Answers

if r = 15

A≈706.86

Steps:

A = πr²=π·15²≈706.85835 ( round to the nearest tenth )

= 706.86

Circle Formula:

Diameter of a Circle D = 2 × r

Circumference of a Circle C = 2 × π × r

Area of a Circle A = π × r2

If Val walls 1/2 mile for every 3/4 mile she runs if she walked 2 miles how many miles did she run

Answers

Answer: She ran 3 miles

Explanation:
1/2 miles walked) • X = (2 Miles walked)

X= 4

4 • 3/4 miles ran = 12/4 miles ran = 3 miles ran.

Cuanto es 1/3 + 5/8 + 1/2

Answers

Answer:

35/24

Step-by-step explanation:

1/3 + 5/8 + 1/2

8/24 + 15/24 + 12/24

Hola!

Primero, debes asegurarte de que todas las funciones compartan el mismo denominador.

4(1/2)= 4/8

1/3 + 5/8 + 4/8

1/3 + 9/8

Ahora necesitamos encontrar un denominador común de 3 y 8.

El mínimo común múltiplo de 3 y 8 es 24.

8(1/3)= 8/24

3(9/8)= 27/24

8/24 + 27/24= 35/24

Entonces tu respuesta es 35/24!!

Lo siento si mi español no es bueno.

Find the slope of the line through each pair of points.
(-10,8), (5,-5)

Answers

Answer:

-0.86667

Step-by-step explanation:

m = -13 / 15 = -0.86667

ABCD is a quadrilateral. Select all the criteria that are sufficient to prove that ABCD is a parallelogram.

Line segment AB is congruent to line segment DC and Line segment is congruent to line segment BC.
Line segment AB is parallel to line segment DC
X is the midpoint of line segment AC and line segment BD

Answers

A parallelogram is a shape which has opposite sides to be equal and parallel. Therefore, the required properties that are sufficient for the prove are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Quadrilaterals are four sided shapes. Examples are square, rectangle, parallelogram, trapezium etc. These have different or distinguishing properties.

A parallelogram is a figure that has its opposite sides to be equal in length and which are also parallel. This properties can be used to answer the given question.

Thus, the appropriate criteria that are sufficient to prove that ABCD is a parallelogram are:

A. Line segment AB is congruent to line segment DC and Line segment AD is congruent to line segment BC.

B. Line segment AB is parallel to line segment DC.

Visit: https://brainly.com/question/3100335

A rope is stretched tight between the tops
of two flag poles. One pole is 16 m tall, the
other is 8 m tall and they stand on level
ground 6 m apart. Find the rope's length.
m

Answers

Answer:

10 m.

Step-by-step explanation:

We have a triangle with hypotenuse h m (the rope's length) and one leg 16 -  8  = 8 m and the other 6 m.

So h^2 = 8*2 + 6^2 = 100

h = 10 m.

Find an equation in standard form of the parabola passing through the points.

(2, −8), (3, −8), (6, 4)

Answers

192
Next time try to add more points bc i worked so hard to answer this

Pls helppp it’s due soon!
Will give brainliest if your answer is right

Answers

Answer:

19.4

Step-by-step explanation:

This problem can be simplified to finding the diagonal of a rectangle of sides 19 and 4. Using the Pythagorean theorem gives FH = √(19^2 + 4^2) = 19.4

Anybody know the answer and how did you get it

Answers

Answer:

so I'm guessing you're solving for x

because angle 2 is the vertical angle to angle 3 so this means that they are congruent

4x-26=3x+4

4x-3x=4+26

x=30

what are some different ways to write c=2.95g

Answers

You could write it as 0.00295kg, or 0.006503637 pounds. Depends on what your looking for.

The length of the bottom of the triangle is x. Another side is 2 more than three times the length of the bottom of the triangle the last side is 5 more than the bottom of the triangle write and simplify and expression for the perimeter of the triangle

Answers

Answer:

5×x×2× base× high u see me

x^2-4x+11
In the form a(x+h)^2+k​

Answers

Answer:   im very sorry

Step-by-step explanation:

What percent of 80 is 112? Please hurry!

Answers

Answer:

140

Step-by-step explanation:

Here you go. Hope it helps you

Triangle BDC is an isosceles triangle. Triangle ACE is a right-angled triangle.
Show that triangle ABC is an equilateral triangle.​

Answers

Because all sides will be equal to 60 degrees equilateral triangle are all congruent (and therefore they all measure 60° ) however also you can see the other triangles theta and degree and angle which all triangles always add up to 180 degree. So if you got one degree on a triangle 90 then the next one 60 then with out a shadow of doubt the last one will be 30 degrees

Find an equation of the circle that has center (-6,2) and passes through (1,-2).

Answers

Answer:

(x+6)^2+(y-2)^2=65

Step-by-step explanation:

Answer:

Should be (x+6)^2+(y-2)^2=65

the number after the carrot represents an exponent

hope it helps

Mary earns a weekly base salary of $180. She also receives $25 per item sold. This week
she receives a salary of $530. How many items did she sell?

Answers

Answer:

She sold 14 items

Step-by-step explanation:

530 - 180 = 350

350 / 25 = 14

A triangle has two sides of length 15 and 1. What is the largest possible whole-number length for the third side?

Answers

Answer:

15

Step-by-step explanation:

The conditions for triangle side lengths are:

A + B > C

A + C > B

B + C > A

The reverse is true too, of course:

A < B + C

B < A + C

C < A + B

Note that it's just 'greater than', not 'greater than or equal to' ( ≥ )

With those in mind, if 15 and 1 are A and B:

15 + 1 > C

15 + C > 1

1 + C > 15

And those can be simplified to these:

C < 16

C > -14 ( can be ignored because of the next one)

C > 14

And finally:

14 < C < 16

The largest whole number that fits those requirements is 15.

40 PTSS GUYS PLEASE DO THIS PROBLEM ILL GIVE BRAINLIST TOO!

Answers

Answer:

where are the problem?

Step-by-step explanation:

sorry no problem

Can you do it?I can’t understand

Answers

Answer:

489,162

Step-by-step explanation:

Hope it can help you lovelots

What is 5,000 x 1,000

Answers

5000 000
Five million

Answer:

The Answer is 5,000,000

Hope this helps!!

Other Questions
Pizza Palace sells cheese pepperoni, sausage and mushroom pizzas. Caleb noticed that for every 10 orders of cheese pizza, there were 7 orders of pepperoni pizza, 5 orders of sausage pizza and 8 orders of mushrooms pizza. If there were 35 pepperoni pizzas ordered, how many total pizzas were ordered? three synonyms for waning What is the purpose of the red-core yarns in the synthetic sling? Can Someone help me on this math question pleaseI will mark u brainless please How did congress react to lahore resolution _____ involves blaming one's failures on internal, personal factors and attributing one's successes to external, situational factors. Keenan worked at an ice cream shop. One day, he counted the first 8flavors requested. Here are the results:Ice Cream FlavorsCountFlavorpeach3ovanillachocolate1coffee4Supposing these trends continue, how many of the next 6 requests willbe for coffee? Veterans Day wrote responseMay we think of freedom not as the right to do as we please but as the opportunity to do what is right. - Peter MarshallRead the quote and in your own words, explain what it means to you. Write at least 6 sentences. A hexagon has different side lengths and angle measures. The top and bottom sides are equal, and the left and right sides are equal. The top 2 angles and bottom 2 angles are equal, and the left and right angles are equal.At which angle will the hexagon rotate so that it maps onto itself?6090120180 Write at least two (2) examples of reading materials that can be used for each reading style: scanning, skimming, speed reading, and intensive reading.!!Nonsense will be reported!!pls!! When Newton started studying gravity, the concept of gravity was already in place.A. TrueB. False PLEASE HELP DOUNG A TEST RN, ASAP, WILL MARK BRAINIEST Audio 01: https://cdnapisec.kaltura.com/html5/html5lib/v2.86.1/mwEmbedFrame.php/p/2061901/uiconf_id/36511471/entry_id/0_dnq51wnn?wid=_2061901&iframeembed=true&playerId=Kaltura_1&entry_id=0_dnq51wnn#Audio 02: https://cdnapisec.kaltura.com/html5/html5lib/v2.86.1/mwEmbedFrame.php/p/2061901/uiconf_id/36511471/entry_id/0_foknviwp?wid=_2061901&iframeembed=true&playerId=Kaltura_1&entry_id=0_foknviwp#Audio 03: https://cdnapisec.kaltura.com/html5/html5lib/v2.86.1/mwEmbedFrame.php/p/2061901/uiconf_id/36511471/entry_id/0_kwlc9z3y?wid=_2061901&iframeembed=true&playerId=Kaltura_1&entry_id=0_kwlc9z3y#Audio 04: https://cdnapisec.kaltura.com/html5/html5lib/v2.86.1/mwEmbedFrame.php/p/2061901/uiconf_id/36511471/entry_id/0_05gj3a5k?wid=_2061901&iframeembed=true&playerId=Kaltura_1&entry_id=0_05gj3a5k#Match the audio with the pronoun A) TB) EllaC) UstedD) Yo Write a system of equations to describe the situation below, solve using any method, and fill in the blanks.A pair of kids and a pair of adults decided to compete in a three-legged race. The kids got to start 15 yards ahead of the adults, since they had shorter legs. When they were told to start, the kids hobbled forward at a rate of 1 yard per second, and the adults hobbled after them at a rate of 4 yards per second. Soon they were side-by-side. How long did that take? How far did the adults go?It took seconds for the adults to go yards and catch up to the kids? According to king, the purpose of direct nonviolent action is to: What is the greatest common factor of 50, 15, and 10? Sarah is paid $20 an hour at her new job. She wishes to graph her total pay y, as a function of thenumber of hours, x. She wants to be sure her graph shows her pay for 10 and 20 hours of work. + 1 x 42-ax + bcan be written as a single fraction in the formX2 x + 2x - 4where a and b are integers.x+ 2 x -Work out the value of a and the value of b. The kitchen of a house is of size 15ft x 12ft. Find the cost of tiling the wall at all sides 5 ft from the base at the rate of Rs. 120/sq ft. rephrase this for me plz for 100 points(it can be 2-3 or more sentence plz help asap)(also plz put effort and plz dot answer if your not actually gonna answer it because this important)Pandas play a crucial role in China's bamboo forests by spreading seeds and helping the vegetation to grow. So by saving pandas, we will also be saving so much more. We will be helping to protect not only these unique forests but also the wealth of species that live in them.The pandas habitat is also important for the livelihoods of local communities, who use it for food, income, fuel for cooking and heating, and medicine. And for people across the country. We could learn all about space travel and the Solar System. sentence 3