Hi

The following set of four ordered pairs below defines the vertices, in counterclockwise order, of a quadrilateral (four-sided figure).
((-4, 1), (1, 2), (-1,6).(-6,5)}
Step 1 of 3: Find the slopes of the indicated sides of the quadrilateral. Simplify your answer.

Side connecting (-4,1) and (-6,5)
Side connecting (1, 2) and (-1,6)
G
7
a
Suba

Answers

Answer 1

The slope of the side connecting (-4,1) and (-6,5) = -2

The slope of the side connecting (1,2) and (-1,6) = -2

The slope of the segment joining two points (x₁, y₁) and (x₂, y₂) = \(\frac{y_2-y_1}{x_2-x_1}\)

We have to find the slope of the side joining the points (x₁, y₁) = (-4,1) and (x₂, y₂) = (-6,5)

Slope = \(\frac{y_2-y_1}{x_2-x_1}\)

          = \(\frac{5-1}{-6--4}\)

          = 4/ -2

          = -2

We have to find the slope of the side joining the points (x₁, y₁) = (1, 2) and (x₂, y₂) = (-1,6)

Slope =  \(\frac{y_2-y_1}{x_2-x_1}\)

          = \(\frac{6-2}{-1-1}\)

          = 4/-2

          = -2

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Related Questions

the square root of 50

Answers

Answer:

The square root of 50 is approximately 7.07.

Answer:

7.07106781187...

Step-by-step explanation:

its an irrational number

Find the volume of this sphere.
Round to the nearest tenth.
Formulas for Spheres
S.A. = 4nr²
V
16 ft
?] ft ³

Find the volume of this sphere.Round to the nearest tenth.Formulas for SpheresS.A. = 4nrV16 ft?] ft

Answers

Step-by-step explanation:

your teacher even wrote all the formulas there.

you have all numbers.

so, all that is left is to take the calculator and type things in.

so, what was your problem here ?

I cannot tell you much more than what is written in your question already.

the only thing : the radius (needed in the formula) is half of the diameter.

so,

V = 4/3 × pi × r³ = 4/3 × pi × (16/2)³ = 4/3 × pi × 8³ =

= 4/3 × pi × 512 = 2048/3 × pi = 2,144.660585... ft³ ≈

≈ 2,144.7 ft³

a student spends 18 out of 35 of his pocket money on transport and fruit what is the fraction left?​

Answers

To find the fraction of pocket money left after spending on transport and fruit, we need to subtract the amount spent from the total pocket money and express it as a fraction.

The student spends 18 out of 35 of his pocket money, which means he has (35 - 18) = 17 units of his pocket money left.

Therefore, the fraction of pocket money left can be written as 17/35.

17 units would be your answer

When would you use a negative number to describe a real world amount? Give an example

Answers

When owe the bank some money or some friends so it could be -1.7h+19.7=187

Solve for m. F=1/2 mr

Answers

Answer:

2F /r = m

Step-by-step explanation:

F=1/2 mr

Multiply each side by 2

2F = 2*1/2 mr

2F = mr

Divide each side by r

2F/r = mr/r

2F /r = m

Write the equation for a line with a y-intercept of 3 and an x-intercept of 5.

Answers

Answer:

it's 15

Step-by-step explanation:

just do ( 5× 2) = (10+5)=15

A company is looking to cover a floor in their office with wood. How many square yards of wood does the company need to cover the floor?

A company is looking to cover a floor in their office with wood. How many square yards of wood does the

Answers

Answer:

\(Area = 72\)

Step-by-step explanation:

From the attachment, we can see that the floor has a trapezium shape with the following dimensions.

\(Height = 6yd\)

The parallel sides (P1 and P2) are:

\(P_1 = 10 + 4 = 14\)

\(P_2 = 10\)

The square yard needed to cover the floor is the area of the trapezium surface and this is calculated as follows:

\(Area =\frac{1}{2} * (Sum\ of\ parallel\ sides) * Height\)

\(Area =\frac{1}{2} * (P_1 + P_2) * Height\)

\(Area = \frac{1}{2} * (10 + 14) * 6\)

\(Area = \frac{1}{2} * (24) * 6\)

\(Area = 12 * 6\)

\(Area = 72\)

Hence, 72 square yards is needed to cover the floor

Find r. R + 5.6 = 10.8

Answers

Answer:

r=5.2

Step-by-step explanation:

Answer:

5.2

Step-by-step explanation:

I used a calculator

Could I have a brainliest pls

Read the sentence from the text “where do you get all the journals and letters?” Was Stevens query.

The word query comes from the Latin word quaere, meaning “ask.” What does query mean in the sentence above?

Answers

Answer:

Question

Step-by-step explanation:

"where do you get all the journals and letters" is a question that was asked by Stevens

Answer: B

Step-by-step explanation:

If f(x) = 2x − 5, then what is the value of f(4x − 1)?

Answers

Step-by-step explanation:

well, you put the input term into the place of the original variable (as with any actual constant value) :

f(4x-1) = 2(4x-1) - 5 = 8x - 2 - 5 = 8x - 7

we could call this now g(x) (= f(4x - 1)).

Which of the following situations could be solved using the equation 7h+1=29

Answers

Answer:

7h+1=29 is equal to 7 x 4 + 1=29

Step-by-step explanation:

We know that 7 times 4 = 28. So the value of h is 4. And of course, you add the one.

7).
2. Hot Text: For each graph, choose the correct sentence to describe the graph.
The graph represents a proportional relationship.
The graph does not represent a proportional relationship.

7).2. Hot Text: For each graph, choose the correct sentence to describe the graph.The graph represents

Answers

a. The graph represents a proportional relationship.

b. The graph does not represent a proportional relationship.

c. The graph does not represent a proportional relationship.

d. The graph represents a proportional relationship.

What is a proportional relationship?

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable exists.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero presented as follows:

y = kx.

Hence graphs a and d represent proportional relationship, as they have intercepts at the origin.

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CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

CAN SOMEONE HELP ME WITH THIS??? I WILL MARK BRAINLIEST!!!

Answers

Answer:

no

Step-by-step explanation:

it has no number behind it so it is just 12 which is a integer

Answer:

Amelia is correct.

According to Google, an integer is a whole number, not a fraction. Therefore, she is correct.

The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express your answer as a whole number or fraction in simplest form. 39/2 13 13 39/2

The square on the right is a scaled copy of the square on the left. Identify the scale factor. Express

Answers

Similarity ratio is also called the scale factor and is defined by the ratio of the lengths of the sides in two similar polygons:

\(\begin{gathered} SF=\frac{lenght\text{ of right square}}{\text{lenght of left square}} \\ SF=\frac{\frac{39}{2}}{13} \\ SF=\frac{3}{2}\text{ or 1.5} \end{gathered}\)

The temperature of a substance in an experiment changes by −8.7°F from 10 a.m. to 1 p.m. At 5 p.m., the temperature is 33.5°F. It is 23 of what the temperature was at 1 p.m.

What was the temperature at 10 a.m. of the substance?

Enter your answer as a decimal in the box.

°F

Answers

Answer: 33.5

Step-by-step explanation:

the answer is: 58.95

i took the test

Value 2000 is decresed to 100. What is the percent decreased

Answers

Answer:

PD = 95%

Step-by-step explanation:

(2,000 - 100) / 2,000       times 100

( (original - new) ) / original     times 100

=  1,900 / 2,000    times 100

=  0.95 times 100

=  95% decrease

Step-by-step explanation:

95%. If you do 2,000 - 95% you get 1,900 which is 95% of the the sum. divide the value by the total value, and then multiplying the result by 100.

Type the correct answer in each box. Lmk!

Type the correct answer in each box. Lmk!

Answers

There were 0-5 Listeners when the song was released.

The approximate number of listeners who had heard the song after the hour 5 was 15- below 50

The number of listeners was about 29,458 after hour 5842.62/

How can I explain?

Alternative forms

Y= 4,637(1.26)ˣ

292131/50,5842,31/50,5.84262 =10³

5842.62

Including polynomial components, such as squared or cubed predictors, is the most popular technique to fit curves to data using linear regression. Typically, the model order is determined by the number of bends required in your line. Each exponent increment causes one additional bend in the curved fitting line.

Curve of Best Fit: a scatter plot curve that best approximates the trend. If the data looks to be quadratic, we use quadratic regression to get the equation for the best-fit curve. We do a cubic regression if it looks to be cubic.

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A farmer uses x lb of fertilizer per acre at a cost of 1.4 per pound, leading to a revenue of R = 700 – 400e -x/100 dollars per acre.
(a) How many pounds of fertilizer should be applied per acre to maximize profit? Write you answer in decimal form rounding to three decimal places
Number
pounds per acre.
(b) What is the maximum profit on a 200 acre farm?
$ Number

Answers

Answer:

The cost can be written as:

C(x) = $1.4*x

The revenue can be written as:

R(x) = $700 - $400*e^(-x/100)

And as you know, the profit is written as the difference between the revenue and the cost:

P(x) = R(x) - C(x)

P(x) =  $700 - $400*e^(-x/100) - $1.4*x

Now we want to maximize this, then we must look at the zeros in the derivate of P(x)

dP/dx = P'(x) = (-1/100)*$400*e^(-x/100) - $1.4

The maximum will be when P'(x) = 0.

we can solve:

0 = (-1/100)*$400*e^(-x/100) - $1.4

$1.4 = (-1/100)*$400*e^(-x/100)

(-100)*$1.4 = $400*e^(-x/100)

$140 = $400*e^(-x/100)

($140/$400) = e^(-x/100)

0.35 = e^(-x/100)

Now we can apply the Ln() in both sides and get:

ln(0.35) = ln(e^(-x/100) ) = -x/100

-ln(0.35)*100 = x = 104.98

You should apply 104.90 pounds of fertilizer.

b) The profit per acre, is:

P(x) = $700 - $400*e^(-x/100) - $1.4*x

Then if you have 200 acres, the profit will be:

200*P(x) = 200*($700 - $400*e^(-x/100) - $1.4*x)

and the maximum profit is whit x = 104.98 pounds, then:

200*P(104.98) = 200*($700 - $400*e^(-104.98/100) - $1.4*104.98) = $82,604.98

What Fraction is equivalent to 3/-5?

A. 5/-3.
B. -5/-3.
C -5/-3.
D. -3/-5

Answers

Answer:

No option is correct

Step-by-step explanation:

As they are written, none of them is equivalent to 3/-5

Hope this helps

Assume that random guesses are made for seven multiple choice questions on an SAT​ test, so that there are n=7 ​trials, each with probability of success​ (correct) given by p= 0.2. Find the indicated probability for the number of correct answers.
Find the probability that the number x of correct answers is fewer than 4.

Answers

Answer:

Step-by-step explanation:

Let x be a random variable representing the number of guesses made for the sat questions.

Since the probability of getting the correct answer to a question is fixed for any number of trials and the outcome is either getting it correctly or not, then it is a binomial distribution. The probability of success, p = 0.2

Probability of failure, q = 1 - p = 1 - 0.2 = 0.8

the probability that the number x of correct answers is fewer than 4 is expressed as

P(x < 4)

From the binomial distribution calculator,

P(x < 4) = 0.97

Uhh help?
its completing the square
theres 4 problems if you can help

1) v^2-15v-63=3
2)n^2-19n-50=-2
3)5x^2+9x+9=6
4)5a^2+20a-43= -10

Answers

hope you can read that okay
Uhh help?its completing the square theres 4 problems if you can help1) v^2-15v-63=32)n^2-19n-50=-23)5x^2+9x+9=64)5a^2+20a-43=

b. Passes through the point (2, -4) and is parallel to 3x + y = 5



c. Passes through the point (2, -4) and is perpendicular to 3x + y = 5

b. Passes through the point (2, -4) and is parallel to 3x + y = 5c. Passes through the point (2, -4)

Answers

keeping in mind that parallel lines have exactly the same slope, let's check for the slope of the equation above

\(3x+y=5\implies y=\stackrel{\stackrel{m}{\downarrow }}{-3}x+5\qquad \impliedby \qquad \begin{array}{|c|ll} \cline{1-1} slope-intercept~form\\ \cline{1-1} \\ y=\underset{y-intercept}{\stackrel{slope\qquad }{\stackrel{\downarrow }{m}x+\underset{\uparrow }{b}}} \\\\ \cline{1-1} \end{array}\)

so we're really looking for the equation of a line that has a slope oif -3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ - 3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{- 3}(x-\stackrel{x_1}{2}) \implies y +4 = - 3 ( x -2) \\\\\\ y+4=-3x+6\implies {\Large \begin{array}{llll} y=-3x+2 \end{array}}\)

now, keeping in mind that perpendicular lines have negative reciprocal slopes

\(\stackrel{~\hspace{5em}\textit{perpendicular lines have \underline{negative reciprocal} slopes}~\hspace{5em}} {\stackrel{slope}{ -3 \implies \cfrac{-3}{1}} ~\hfill \stackrel{reciprocal}{\cfrac{1}{-3}} ~\hfill \stackrel{negative~reciprocal}{-\cfrac{1}{-3} \implies \cfrac{1}{ 3 }}}\)

so for this one, we're looking for the equation of a line whose slope is 1/3 and it passes through (2 , -4)

\((\stackrel{x_1}{2}~,~\stackrel{y_1}{-4})\hspace{10em} \stackrel{slope}{m} ~=~ \cfrac{1}{3} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-4)}=\stackrel{m}{ \cfrac{1}{3}}(x-\stackrel{x_1}{2}) \implies y +4 = \cfrac{1}{3} ( x -2) \\\\\\ y+4=\cfrac{1}{3}x-\cfrac{2}{3}\implies y=\cfrac{1}{3}x-\cfrac{2}{3}-4\implies {\Large \begin{array}{llll} y=\cfrac{1}{3}x-\cfrac{14}{3} \end{array}}\)

The following five values are a sample: 11, 6, 10, 6, and 7. Required: a. Compute the sample variance. (Round your answer to 1 decimal place.) b. Determine the sample standard deviation.

Answers

The standard deviation of a sample is the square root of the variance

The variance is 5.5The standard deviation is 2.35

How to determine the variance

The sample is given as: 11, 6, 10, 6, and 7

Start by calculating the mean

\(\bar x = \frac{\sum x}{n}\)

So, we have:

\(\bar x = \frac{11+ 6+ 10+ 6+ 7}{5}\)

\(\bar x = 8\)

The variance is then calculated as:

\(\sigma^2 = \frac{\sum(x - \bar x)^2}{n -1}\)

This gives

\(\sigma^2 = \frac{(11 - 8)^2 + (6 - 8)^2 + (10 - 8)^2 + (6 - 8)^2+(7 - 8)^2}{5 -1}\)

\(\sigma^2 = 5.5\)

Hence, the variance is 5.5

How to calculate the standard deviation

In (a), we have:

\(\sigma^2 = 5.5\)

Take the square roots of both sides

\(\sqrt{\sigma^2} = \sqrt{5.5\)

\(\sigma = 2.35\)

Hence, the standard deviation is 2.35

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HELLO CAN ANYONE ANSWER THIS PLEASE I WILL MARK YOU THE BRAINLIEST !!!

HELLO CAN ANYONE ANSWER THIS PLEASE I WILL MARK YOU THE BRAINLIEST !!!

Answers

Answer:

145

Step-by-step explanation:

vertically opposite angles

Answer:

145°

Step-by-step explanation:

ANGLE DBE= ANGLE ABC

ANGLE DBE=145°

REASON= VERTICALLY OPPOSITE ANGLE

HOPE IT HELPS:)

Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship in the diagram.

(please also show an step by step process of getting EAF!) ​

Set up and solve an equation for the value of x. Use the value of x and a relevant angle relationship

Answers

Answer:

x = 27 , ∠ EAF = 27°

Step-by-step explanation:

∠ GAF = 90° , then

∠ GAC + ∠ CAF = ∠ GAF , that is

x + 63 = 90 ( subtract 63 from both sides )

x = 27

∠ DAE = 90°

since CD is a straight angle of 180° , then

∠ CAE = 90° , so

∠ CAF + ∠ EAF = ∠ CAE , that is

63° + ∠ EAF = 90° ( subtract 63° from both sides )

∠ EAF = 27°

Which table represents a nonlinear function? ASAP

Which table represents a nonlinear function? ASAP

Answers

Answer:

The second table, the table in the middle.

Step-by-step explanation:

Since the x-values of all the tables differ by 1, the difference between the y-values must be constant in order for the table to be linear. In second table, the different between the first and second y-value (from top to bottom) is 3, however the difference between the second and third and third and fourth values are 1.5, which is not constant. Therefore, the second table is nonlinear.

Find the measure of ACD




A - 36 degrees
B - 126 degrees
C - 162 degrees
D - 216 degrees

Find the measure of ACDA - 36 degreesB - 126 degreesC - 162 degreesD - 216 degrees

Answers

Answer:

C

Step-by-step explanation:

i assume its
C.

differentiate tan inverse of x÷a

Answers

Answer:

Expression Derivatives

y = tan-1(x / a) dy/dx = a / (a2 + x2)

y = cot-1(x / a) dy/dx = - a / (a2 + x2)

y = sec-1(x / a) dy/dx = a / (x (x2 - a2)1/2)

y = cosec-1(x / a) dy/dx = - a / (x (x2 - a2)1/2)

If a projectile is launched vertically upward from the ground with an initial velocity of 60 ft per​ sec, then neglecting air​ resistance, its height s​ (in feet) above the ground t seconds after projection is given by s=-16^2 +60t. Which equation should be used to determine the time at which the height of the projectile reaches 20 ​ft?

Answers

The equation that should be used to determine the time at which the height of the projectile reaches 20 ​ft is

t = {60 ± √(3600 - 1280)}/32

What is a projectile? What are algebraic expressions?A projectile is an object that is propelled by the application of an external force and then moves freely under the influence of gravity and air resistance.In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.Mathematical symbols can designate numbers (constants), variables, operations, functions, brackets, punctuation, and grouping to help determine order of operations and other aspects of logical syntax.

Given is that a projectile is launched vertically upward from the ground with an initial velocity of 60 ft per​ sec, then neglecting air​ resistance, its height s​ (in feet) above the ground t seconds after projection is given by S = - 16t² + 60t.

For the height of {S} = 20 ft, we can write the equation as -

S = - 16t² + 60t

- 16t² + 60t = 20

16t² - 60t + 20 = 0

t = {60 ± √(3600 - 1280)}/32

Therefore, the equation that should be used to determine the time at which the height of the projectile reaches 20 ​ft is

t = {60 ± √(3600 - 1280)}/32

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PLEASE ANSWER what are the slopes to these graphs ?

PLEASE ANSWER what are the slopes to these graphs ?

Answers

Answer:

13. 1/4x

14. -2/4x or -1/2x

15 1/3x or 2/6x

16. Zero

Step-by-step explanation:

13. goes up once and goes to the side 4 times

14. goes down twice and goes to the side 4 times

15. goes up one time and three to the side

16. zero slope, the line is horizontal

Answer:

13. 1/4

14. -1/2

15 1/3

16. Zero

Step-by-step explanation:

Other Questions
The Britons had a strange and terrible religion, called the Religion of the Druids. It seems to have been brought over, in veryearly times indeed, from the opposite country of France, anciently called Gaul, and to have mixed up the worship of the Serpent, and of the Sun and Moon, with the worship of some of the Heathen Gods and Goddesses. Most of its ceremonies were kept secret by the priests, the Druids, who pretended to be enchanters, and who carried magicians' wands, and wore, each of them, about his neck, what he told the ignorant people was a Serpent's egg in a golden case. But it is certain that the Druidical ceremonies included the sacrifice of human victims, the torture of some suspected criminals, and, on particular occasions, even the burning alive, in immense wicker cages, of a number of men and animals together. The Druid Priests had some kind of veneration for theOak, and for the mistletoe - the same plant that we hang up in houses at Christmas Time now - when its white berries grew uponthe Oak. They met together in dark woods, which they called Sacred Groves; and there they instructed in their mysterious arts, young men who came to them as pupils, and who sometimes stayed with them as long as twenty years.What is the author's purpose in including the idea of France in first-iwo sentences of paragraph 7?A)to make the narrative seem more broadly focusedB)to contrast England with a country that had no religionC)to parallel England with France in terms of their relative sizeD)to show how the island of England and its history was affected by thosewho arrived from other places Evelyn drives 318.5 miles in 6 1/2 hours. How far can she drive in 8 hours. PLEASE HELP 50 POINTX = ?Z= ?Given the figure below, find the values of x and z. 80 2 (14x + 72) X Z = Do nonmetal gases have a lot or a little kinetic energy?YesNoMaybe Define the term macromolecule 100+ pts if correct math proofs 2/13 = 0.153846 In the decimal above, 1 is the first digit in the repeating pattern. What is the 279th digit? Exercise 2 Write c next to each compound sentence. The statue is often called "Miss Liberty." Guided Practice Determine whether each event is impossible, un likely, or certain. Then, tell whether the probabity is 0 .close to to 1, or 1. randomly picking a green card from a standard deck of playing cards write as fraction or percent In economics, investment is the expenditure by businesses on new plant and equipment. true false Is amphetamines, barbiturates, cocaine, hallucinogens, inhalants, narcotics, steroids, and tranquilizers "non-drug" drugs? the prince men will forget if you killed their kin, they'll never forget if you've stolen their land or means of living What is the current ????2 through resistor ????2? Find an expression for ????2 in terms of ????????, ????????, ????1, ????2, and ????3. Take the positive direction to be downward. a double-slit experiment uses coherent light of wavelength 633 nm with a slit separation of 0.100 mm and a screen placed 2.0 m away. (a) how wide on the screen is the central bright fringe? (b) what is the distance on the screen between first-order and second-order bright fringes? (c) what is the angular separation (in radians) between the central maximum and the first-order maximum? There was a population of 160 bears in a National Park. After a year, the population increased by 15%.How many bears are there in the park now? how will you prepare 1l of 28 ppt instant ocean (stock = 1000 ppt)? show your calculations here. 2) Assume floating exchange rates, and that after the election, the new government follows a new policy and constructs roads, bridges, and five new airports. Explain and illustrate the impact of such policy on total output, interest rates, and exchange rates under the Mundell-Flemming model Help please!!Write a sentence that include the Hypothesis and Conclusion.Topic 1 is about Parallel lines.Topic 2 is about a health conscious person. What is the definition of specific heat? O A. The heat required to break the molecular bonds within a substance B. The total amount of energy contained within 1 mole of a substance C. The heat needed to raise the temperature of 1 g of a substance 1C D. The temperature change between the melting and boiling points of a substance N What is the definition of specific heat ? O A. The heat required to break the molecular bonds within a substance B. The total amount of energy contained within 1 mole of a substance C. The heat needed to raise the temperature of 1 g of a substance 1 C D. The temperature change between the melting and boiling points of a substance N Parts of the Present-Day Marine Ecosystem Know each cratonicsequence. Know when it happened, and major identifyingcharacteristics: o Absaroka Sequence What is a "cyclothem"?