Slope Formula
That is the slope of the line with points (-7,2) and (- 4,0)?

Answers

Answer 1

Answer:

[tex]m=\dfrac{-2}{3}[/tex]

Step-by-step explanation:

The given points are :

(-7,2) and (-4,0)

We have,

x₁ = -7, y₁ = 2, x₂ = -4 and y₂ = 0

The formula for the slope of the line is given by :

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

Put all the values,

[tex]m=\dfrac{0-2}{(-4)-(-7)}\\\\m=\dfrac{-2}{3}[/tex]

So, the slope of the line is equal to [tex]-\dfrac{2}{3}[/tex].


Related Questions

Hi help me out thank youu love

Answers

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Write the equation of the line that passes through the points (8, -1) and (2,-5) in standard form, given that the point- slope form is y + 1 = (x – 8). ​

Answers

Answer:

B?

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

no idea what the guy on top is saying

While developing x-bar and R charts, the manager took 10 samples each of size 6. The average of sample means was 3.2. The average range value was 0.6. What will be the value of UCL for the R-chart?
a. 1.2
b. 1.4
c. 1.5
d. 1.7

Answers

Answer:

Option a. 1.2 is the correct answer

Step-by-step explanation:

Given the data in the question;

sample size n = 10

sub group = 6

The average of sample means x" = 3.2

Average range value R' = 0.6

the value of UCL for the R-chart = ?

To get the value of UCL for the R-chart, we say;

[tex]UCL_R[/tex] = D₄ × R'

from table of constants "Tabular values for x-bar and range charts

for size 6, the factor for control limits for range D₄ = 2.004

so we substitute  

[tex]UCL_R[/tex] = 2.004 × 0.6  

[tex]UCL_R[/tex] = 1.2024 ≈ 1.2  

Hence, Option a. 1.2 is the correct answer.

Please help me answer this ASAP!

Answers

Answer: z=25 x=114

Step-by-step explanation:

Find the Area of the figure below, composed of a parallelogram and one
semicircle. Rounded to the nearest tenths place

Thanks!

Answers

Answer:

300.5 = 300

Step-by-step explanation:

area= base x height (parallelogram)

area= [tex]\frac{\pi r^2}{2}[/tex] (semicircle)

parallelogram: 11 x 20 = 220

semicircle: [tex]\left[\begin{\frac{22(8^2)}{7}}\right] \frac{1}{2}[/tex]

=> [tex]\frac{1408}{14}\\[/tex]

=> 100.5

therefore 100.5 + 220 = 300.5-ans.

By what percent will the product of two numbers decrease if one of them is decreased by 20% and the other is decreased by 50%?

Answers

Answer:

(x - .20)(x - .50)

[tex]x^{2}[/tex] = (.20)(.50)

[tex]x^{2}[/tex] = 0.1

x = [tex]\sqrt{ .1[/tex]

x = .32

the product of two numbers decrease by 32%

Is 4_4 greater than 7_8

Answers

Answer:

Yes

Step-by-step explanation:

4/4 is the same thing as 4 divided by 4 which equals 1

7/8 is the same thing as 7 divided by 8 which equals 0.875

Since 1 > 0.875, 4/4 > 7/8

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′′(0) = 0

Answers

Answer:

y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

Step-by-step explanation:

To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0

Formula used -

L{δ(t − c)} = [tex]e^{-cs}[/tex]

L{f''(t) = s²F(s) - sf(0) - f'(0)

L{f'(t) = sF(s) - f(0)

Solution -

By Applying Laplace transform, we get

L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}

⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)}  − 4L{δ(t −5)}

⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]

Now,

Let

[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]

By Comparing, we get

A + B = 0 and 3A + 2B = 1

⇒A = -B

and

3(-B) + 2B = 1

⇒-B = 1

⇒B = -1

So,

A = 1

∴ we get

[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]

So,

Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]

⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]

By applying inverse Laplace , we get

y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]

⇒y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

It is the required solution.

9k - 18 = - 6 Can you help with this Plzzzz!!!

Answers

Answer:

Step-by-step explanation:

im assuming were solving for k so we wanna get it by itself

9k - 18 = -6

start by adding 18 to both sides

9k = 12

then divide both sides by 9

k = 12/9

hope this helps <3

Answer:

the answer is

k= 4/3

Step-by-step explanation:

9k-18=-6

9k=-6+18

9k=12

k= 12/9

simplify it which gives k=4/3 or in decimal form 1.333

What is the value of this expression?
-9= 3 x [6 x 3 – (1 + 4)]
A. -63
B. -59
O C. -51
D. -39

Answers

Answer:

I think it's -51

Step-by-step explanation:

I'm not entirely sure. But it is my best guess.

A line passes through the points (4, 9) and (-9, -5).
Find the slope of the line.

Answers

Answer:

14/13=1.08 (rounded up)

Step-by-step explanation: Change in Y/ Change in x

Name the special segment.

Answers

Answer:

Perpendicular bisector

Step-by-step explanation:

Have a great day!!

Solve for the angle denoted by the "?". Round to the nearest tenth.

Answers

Answer:   35.4

====================================================

Explanation:

Let x be the reference angle where the question mark is located.

Opposite this angle x is 27. The adjacent side is 38.

Use the tangent ratio to tie the two sides together

tan(angle) = opposite/adjacent

tan(x) = 27/38

x = arctan(27/38)

x = 35.3947958 .... which is approximate

x = 35.4

Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled [tex]\tan^{-1}[/tex] to help compute this.

Trey has three pairs of Vans, two pairs of Nikes, and four pairs of Adidas shoes in his shoe bin. One morning, the electricity went out and Trey pulls two shoes at random. Remember each pair of shoes counts as 2 shoes.

a) What is the probability that he pulls out two adidas shoes without replacement? Round your answer to the nearest tenth of a percent.

%

b) What is the probability that he pulls out a Vans, decides that's not what he wants, so he replaces it then pulls out two Nike shoes?

Round your answer to the nearest tenth of a percent.

%

Answers

Answer: A) 40%

               B)30%

Step-by-step explanation:

A) becase 4/9 as a percentage is 0.444444% and I rounded it to 0.4% then turned it into 40% cause its outta 100

MARK AS BRAINLEIST

Find one value of x for which h(x)=4 and find h(4)

Answers

Hp666799vvhnvrjnbbhhgvvvvvvvvvvvvgggvvvvvvvvvvvvv

Determine if events A and B are independent.
P(A) = 9/20 P(B) = 7/10 P(A and B) = 63/200
A) Dependent
B) Independent

Answers

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

In this question:

[tex]P(A \cap B) = \frac{63}{200}[/tex]

[tex]P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}[/tex]

Since [tex]P(A \cap B) = P(A) \times P(B)[/tex], these events are independent.

Find the value of x. Round the length to the nearest tenth of a unit.

Please help!

Answers

Answer:

take 40 degree as reference angle

using tan rule

tan 40 =p/b

0.83=900/x

0.83x=900

x=900/0.83

x=1084.33

x=1084.3(after rounding off to the nearest tenth)

Step-by-step explanation:

A taxi driver from a certain company charges $ 150 for stopping and loading passengers and then $ 30 for every kilometer traveled.
a) Determine the linear function that relates the fare and the kilometers
tours.
b) How much should a person who travels 20km pay?

Let x be the number of kilometers traveled by a person in the taxi.

Answers

Answer:

a) linear function =  150 + 30x represents 1km

    and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into

3(5+1x)

b)  y = 2/3x + 225

Can be factored from 2/3 (30x+75)  and simplified to  2/3(3x+15/2)

Step-by-step explanation:

if 150 stop and 30 for each mile

we show zero on each axis and show the y intercept at 150

The X axis should determine time or distance travelled

So if showing distance we show miles in 10,20,30,40,

and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240  for the data for the y axis/

Therefore 20k is 2/3 km and we can show 2/3 as our multiple.

2/3 of 225 is 150 to find we flip 3/2 x 150 = 225

y = 2/3 ( 30x + 225) and we have our equation for b

y = 2/3x + 225

Can you help me with this, please? Thanks in advance ​

Answers

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

m∠TRU = 180° - 82° = 98°

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

m∠TRU + m∠RTU = m∠RUV98° + m∠RTU = 155°m∠RTU = 155° - 98° = 57°

<TRU

180-<PQS180-8298°

Sum of 2 interiors =exterior

<RTU

155-9857°

Help with this question!Please

Answers

Step-by-step explanation:

The given angle is a 90° . Therefore the sum of both angles is 90° .

> 40 + x = 90

> x = 90 - 40

> x = 50

Solution 2 ;-

> 20 + x = 90

> x = 70

What is the area of the triangle?

Answers

Answer:

144.5

Step-by-step explanation:

Area of a triangle = one half of the base length times the height

The given base length is 17 cm and the given height is 17 cm

Hence, area = [tex]\frac{17*17}{2}[/tex]

17 * 17 = 289

289 / 2 = 144.5

Area = 144.5cm²

Answer: 144.5

Step-by-step explanation:

The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.

Hope This Helps!

What is the volume of a cylinder with a height of 16.5 in and a base with a diameter of 17.2 in, to the nearest tenth of a cubic inch?

Answers

V=S(base)*h=pi*r2
V=pi*r2*h
V=3,14*(half of diameter in square)8,75in square*16,5
V=3,14*8,75(in square)*16,5in
===3966,7
This is correct!!!Im pretty sure!!!☺️

Answer: 3833.8 in^3

Step-by-step explanation:

trust me bro i pinky promise

50 POINTS !!


PLEASE HELP !! ILL GIVE BRAINLIEST TO THE RIGHT ANSWERS.

Answers

Answer:

sqrt41

Step-by-step explanation:

a^2+b^2=c^2

25+16=41

sqrt41

Answer:

6.40312

Step-by-step explanation:

Justin bought 4 dozen
cupcakes for a party. How
many cupcakes did he buy?

Answers

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

34 is not solution because it is less than 35​

Answers

Answer:

True very true

Step-by-step explanation:

yes this is true ! good job

Factor 6x^2 + x − 2

Answers

Answer:

(2−1)(3+2)

Step-by-step explanation:

Rewrite in product form

2x(3x+2) - 1(3x+2)

(2x-1) (3x+2)

Why did the physiocrats oppose mercantilism?

The physiocrats wanted a nation to import more goods than it exported.
The physiocrats thought that nations should accumulate bronze, not gold and silver.
Mercantilism worked for the common good.
Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answers

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Which of these describes a unique polygon?

A quadrilateral with 3 sides lengths 5 inches long

A triangle with a side length of 6 inches, 7 inches, and 8 inches

A triangle with angles 30, 60, and 90

A triangle with side lengths 5 cm and 4 cm and a 70 angle

Answers

The last one is correct

Solve this equation for x. Round your answer to
the nearest hundredth.
6 = ln(x + 4)

Answers

Answer:

x ≈ 399.43

Step-by-step explanation:

Using the rule of logarithms

[tex]log_{b}[/tex] x = n ⇒ x = [tex]b^{n}[/tex]

Given

[tex]log_{e}[/tex] (x + 4) = 6 , then

x + 4 = [tex]e^{6}[/tex] ( subtract 4 from both sides )

x = [tex]e^{6}[/tex] - 4 ≈ 399.43 ( to the nearest hundredth )

Complete the table to find the MAD of the data set.

Answers

Answer:

15

Step-by-step explanation:

Other Questions
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