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

What is Calculus ???

Answers

Answer:

Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations.

Answer:

The fundamental idea of calculus is to study change by studying "instantaneous " change, by which we mean changes over tiny intervals of time. And what good is that? It turns out that such changes tend to be lots simpler than changes over finite intervals of time.

Step-by-step explanation:

Jillian and Camilla need 5 feet of ribbon to make a craft. Jillian has 2 4/5 feet of ribbon. Camilla has 2 3/5 feet of ribbon. How much ribbon do they have altogether? Select all that apply. *

Answers

Answer:

5 2/5 ft

Step-by-step explanation:

2 4/5 + 2 3/5 = 4 7/5 = 4 + 5/5 + 2/5 = 4 + 1 + 2/5 = 5 2/5

Answer:

5 2/5 feet of ribbon

Step-by-step explanation:

   2 4/5

+  2 3/5

    5 2/5

plz mark brainliest

(−4/3)⋅(−1/3)⋅1.2 answer plz

Answers

Answer:

= .533

Step-by-step explanation:

(−4/3)•(−1/3)= .44

.44•1.2=.533

Need help fast i have a test tomorrow and i need to get ready
Question there asking:examine (a), (b), and (c) and select the best answer.
(a) 1 / 5 of 30 (b) 1 / 4 of 20 (c) 1 / 3 of 15

Answers

Answer:

  a) 6

  b) 5

  c) 5

Step-by-step explanation:

In this context, "of" means "times."

a) 1/5 of 30 = 1/5×30 = 30/5 = 6

b) 1/4 of 20 = 1/4×20 = 20/4 = 5

c) 1/3 of 15 = 1/3×15 = 15/3 = 5

Help would be greatly appreciated!!
Multiply as indicated. Write the product in standard form.
(1+3i)(-3-i)
Thanks to whoever helps in advance!!

Answers

Answer:

-10i

Step-by-step explanation:

-3-i-9i+3

remove the Opposites

collect like terms

-i-9i

=-10i

write 13/19 as a decimal rounded to the nearest hundred

Answers

13/19 as a decimal rounded to nearest hundred is 0.68

If line L is parallel to line M, solve for x and y​

Answers

Answer:

x = 18, y = 5

Step-by-step explanation:

Because lines L and M are parallel, the corresponding angles 7x - 23 and 49 + 3x are equal.  Thus, 7x - 23 = 49 + 3x, or -72 = 2x.  Thus,

                                  4x = 72 and x = 18.

Check:  Is 7x - 23  =  49 + 3x true when x = 18?

                 7(18) - 23 =  49 + 3(18)?

                       103    =     103?  yes

Also:  If we concentrate on the triangle in the middle of the picture:

49 + (180 - 7x + 23) + (11y - 1) = 180 (sum of the interior angles of a triangle)

Then:  49 + 180 + 23 - 7x + 11y - 1 = 180.  But x = 18, so we have:

125 + 11y = 180, or 11y = 55, and so y = 5

11/12 x 24 + 16/3 - 9/4 =

Answers

Answer:

301/12

Step-by-step explanation:

29 students made the honor roll on their first quarter report card this quarter there were 40 students who achieved at the server determine the percent of change and whether it is an increase or decrease

Answers

29 times that 40 yuh lemme know if it’s wrong

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x - 5)?
-
o
-5
-4
-3
-1
0
1
2
3
4
5
f
.
-5
-4
-3
-2.
-1
o
3
o
1
2
4
5
+
+
-4
-5
-3
-2
-1
+
1
o
+
2.
+
3
+
4
5
Ол
O
3
-5
-4
-3
-2
-1
o
1
2.
3
4
5

Answers

Answer:

3 8-4× less than 6 ×-5 and then you solve the equation

The first three terms in a pattern are shown in the
image below. How many circles would be in the
5th term?

A. 10
B. 15
C. 18
D.20

Answers

Answer: 15

Step-by-step explanation: you basically add n per sequence.

0+1 = 1

1+2 = 3

3+3 = 6

6+4 = 10

10+5 = 15

Hope this helps

the answer is b which is 15

Help u guys plssss number 8

Answers

Answer:

27

Step-by-step explanation:

Note : -

That square like symbol at the intersection of two lines is 90°.

( 4x - 18 )° and 90° are corresponding angles.

Corresponding angles are equal since lines

a & b are parallel.

4x - 18 = 90

4x = 90 + 18

4x = 108

x = 108 / 4

x = 27

PLS HELP ME 20 points total

Answers

Answer:

b and f

Step-by-step explanation:

maths

Answer:

A) The point (1, 0.60) means that one pound of potatoes cost $0.60.

F) The point (40, 24) means that 40 pounds of potatoes cost $24.00.

Step-by-step explanation:

The given graph shows the linear relationship between the total cost and the number of pounds of potatoes.

In order to determine the total cost of potatoes per pound, use the following points on the graph:

Let (x₁, y₁) = (20, 12)

(x₂, y₂) = (25, 15)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 12) / (25, 20)

m = 3/5

Therefore, the slope of the line is 3/5 or 0.60. This means that the total cost increases by $0.60 for every pound of potatoes.

Option A: Since we determined that the slope represents the change in total cost increases by $0.60 for every pound of potatoes. Multiplying the number of pounds by the cost per pound, $0.60, will give you the total cost of the potatoes. Thus, 1 pound of potatoes × $0.60 per pound = $0.60.

This matches the points described in Option A, thereby making it as one of the valid answers.

Option B) is incorrect because the total cost of 12 pounds of potatoes is $7.20. The given option states that $7.20 is the cost per pound of potatoes, which is false. The cost per pound of potatoes is $0.60.

Option C) Similar to Option B, 12 pounds of potatoes doesn't cost $20 per pound.

Option D) The descriptions of the coordinates, (25, 15) were mixed up: it should have been "25 pounds of potatoes cost $15." Hence, Option D is incorrect.

Option E) Similar to Option D, the descriptions of the coordinates, (30, 18) were mixed up: it should have been "30 pounds of potatoes cost $18." Hence, Option D is incorrect.

Option F) The point, (40, 24) appropriately represents the total cost of $24 for the 40 pounds of potatoes. Therefore, Option F is correct.

How much do you need to subtract from 53 over 6 to make 8

Answers

48 over 6 is equal to 8 so subtract 5 from 53

Answer:

Step-by-step explanation:

Think about how this question is written out mathematically.

5/36−x=8

You’re looking for x.

When rewritten, we can move x to the right side for a positive x, then we can move 8 over to the left side for -8.

53/6−8=x

In simple fraction form 8=8/1

But here's where we've got a problem. The denominators aren’t alike… 6≠16≠1

In this case, multiplying 8/1 by 6/6 is the easiest way to get a common denominator for both, 6.

Multiply both the numerator (8) and denominator (1) by 6. So, now we have 48/6

Now that we have common denominators, we can subtract.

53/6 - 48/6

= 5/6

To check:

53/6 - 5/6 = 48/6

48/6 = 8

Paul and Kelly are throwing darts at the hexagonal dartboard shown below. Paul told Kelly that if they throw darts at the board 100 times, of them should hit a 5.
If the prediction holds true, approximately how many times would their darts hit a 5?

Answers

Shown & Given:

The dartboard holds 5 in the maximum space.

Known:

Out of 100, it is know that they will hit 5 more than 50 times.

Possible Answers:

55, 66, or 77.

The most likely one is:

66

d
=

(
x
2

x
1
)
2
+
(
y
2

y
1
)
2
Evaluate
d
if
(
x
1
,
y
1
)
=
(
2
,

4
)
and
(
x
2
,
y
2
)
=
(
4
,
3
)
.
Leave your answer in surd form.

Answers

[tex](x_1, y_1) = (2,-4) ,~~~(x_2 , y_2) = (4,3)\\\\d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}\\\\=\sqrt{(4 - 2)^2 + (3+4)^2}}\\\\=\sqrt{2^2 + 7^2} = \sqrt{4+49} = \sqrt{53}[/tex]

A shipping container is In the shape of a right rectangular prism with a Length Of 11.5 feet a width of 10.5 feet and a height of 13 feet The container is compeletly filled with contents that weigh on average 0.29 pound per cubic foot. What is the weigh of the contents in the container to the nearest pound?

Answers

Answer:

0.30

Step-by-step explanation:

I'm not hundred percent sure but I believe it's 0.30

Answer:

V=455

Step-by-step explanation:

V= (L)(w)(H)

v= (11.5)(10.5)(13)

v=1569.75ft^3

v= (1569.75ft^3)(.29/ft^3)=445

The show gave a 10% discount for students. The full ticket price is $30. How much was the students price?

Answers

Answer:

$27

Step-by-step explanation:

You can get the equation 30 - 30 * 1/10 = x, and x is what we are looking for. Simplifying gives 30 - 3, so x is 27. So, the answer is $27.

Answer:

$3

Step-by-step explanation: 10%= 0.10 divide that by 30, 30 ÷ 0.10 = 3

Find the missing side K
K
53
45

Answers

Answer:

k=28

Step-by-step explanation:

please help me 8x-3+4x+3​

Answers

Answer:

12x

Step-by-step explanation:

please help me 8x-3+4x+3​

8x - 3 + 4x + 3​ =

8x + 4x  - 3 + 3 =

12x

Answer:

12x

Step-by-step explanation:

1. To simplify this expression, we must group like terms.

[tex](8x + 4x) + (-3 + 3)[/tex] [tex]12x + (-3+3)[/tex] [tex]12x[/tex]

Therefore, the answer is 12x.

Find the common difference of the arithmetic sequence 13, 21, 29, .

Answers

Answer: 8

Step-by-step explanation:

Simplify the expression.
18+(-4)-2/7 j-6/7j+5=
(Simplify your answer.

Answers

Answer:

(18-4+5)+(2/7 j-6/7 j)=

19 +(-4/7 j)=

BRAINLIEST
Can you help me finish these

Answers

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

Plzzz help meeee plzzzzzz

Answers

Answer:

  a) $560

  b) 80%

  c) $1134

Step-by-step explanation:

a)

The profit is the difference between selling price and cost price:

  profit = $1260 -700 = $560

__

b)

As a fraction of the cost price, the profit is ...

  $560/$700 × 100% = 80% . . . . of the cost price

__

c)

A 10% discount from the selling price makes it ...

  $1260 × (1 -10%) = 0.90×$1260 = $1134

A student will pay $1134 for a calculator.

Can someone help me pls!? Question 5 (Essay Worth 5 points) Determine the answer to (-5) + 4 and explain the steps using a number line​

Answers

Answer:

-5+4= -1

Step-by-step explanation:

On a number line, look at -5, then add 4 to that, aka moving it up 4 places. -1 would be where it ends up.

5.
Use the quadratic function to predict f(x) if x equals 2.

f(x) = −3x^2 + 180x − 285

A. f(2) = 111

B. f(2) = 63

C. f(2) = 87

D. f(2) = 125

Answers

Answer:

B. f(2) = 63

Step-by-step explanation:

f (x) = -3x2 + 180x - 285

For this case, the first thing to do is replace the value of x = 2 in the given function to know the result.

We have to replace:

f (2) = -3 * (2) ^ 2 + 180 * (2) - 285

f (2) = 63

Answer:  

the value of pa for x = 2 is:

f (2) = 63

A 12 foot fence on the property line casts a 25 foot shadow on the shortest day of the year, and the north side of the house is set back 60 feet from the property line.

Answers

Using similar triangles formed by the fence, and the house, the top of which the property line passes, the height of the house can be determined.

The height of the house is 28.8 feet.

Reasons:

The given parameters are;

Height of the fence = 12 foot

Length of the shadow cast by the fence = 25 foot

Distance of the house from the property line = 60 feet

The maximum allowable height for the house.

Solution:

Using similar triangles, we have;

[tex]\displaystyle \frac{Height \ of \, fence}{Length \ of \ fence \ shadow} = \mathbf{\frac{Height \ of \, house}{Distance \ of \ house\ from \ property \ line}}[/tex]

Which gives;

[tex]\displaystyle \frac{12}{25} = \mathbf{\frac{Height \ of \, house}{60}}[/tex]

[tex]\displaystyle Height \ of \ house = \frac{12}{25} \times 60 = 28.8[/tex]

The height of the house = 28.8 feet

Learn more here:

https://brainly.com/question/10269775

Please find attached the drawing of the question created with MS Visio, obtained from a similar question online.

Ricardo camina 2 km
en 2 hora. ¿Cuántos
minutos tardará si
DESCANSO
A 2KM
camina 12 km?

Answers

The time it will take ricardo to walk 12km is 12 hours

If Ricardo walks 2 km  in 2 hours, the speed of Ricardo is expressed as:

Speed = Distance/Time

Speed = 2km/2hr

Distance = 1km/hr

To find the time it will take to walk 12km, we will use the same formula:

Time = Distance/Speed

Time = 12km/1km/hr

Time = 12hours

Hence the time it will take ricardo to walk 12km is 12 hours

Learn more on speed here: https://brainly.com/question/13262646

Pleaseeee Helpppp

Point M is located at 1.2 x 10-6. Plot Point M on the number line below

Answers

Plot point M is then ADDRESS in the next hour of tutorials

Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?
A. 8
B. 9
C. 10
D. 11

Answers

Answer:

C. 10 weeks

Step-by-step explanation:

Joshua wants to buy a flat-screen TV that costs $625. He saves $62.50 each week to buy the TV. In how many weeks will he have enough money to make his purchase?

A. 8

B. 9

C. 10

D. 11

cost of television divided by weekly savings = number of weeks

625 : 62.50 = 10 weeks

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