Lesson 14.1 distance in the coordinate plane answer key

Answers

Answer 1

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

What is the Distance Formula?

The distance formula, [tex]d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2}[/tex], is used to find the distance between two points on a coordinate plane.

For example, given the following points on a coordinate plane:

A(2, 3) - (x1, y1)B(5, 6) - (x2, y2)

Using the distance formula, we would calculate the distance as:

AB =√[(5−2)² + (6−3)²]

AB = √[(3)² + (3)²]

AB = √18

AB = 4.2

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Related Questions

What is the difference between vertex and axis of symmetry

Answers

The vertex is the highest point if the parabola opens downward and the lowest point if the parabola opens upward. The axis of symmetry is the line that cuts the parabola into 2 matching halves and the vertex lies on the axis of symmetry.

hope it helps...!!!

what reaction does glucose-6-phosphatase catalyze?

Answers

Answer:

In glycolysis a separate enzyme (Hexokinase) adds a phosphate onto Glucose and is ATP dependent. The reaction catalyzed by Glucose-6-Phosphatase is a hydrolysis which in water is extremely difficult to reverse- because water is in very high concentration.

Explanation:

A computer’s memory is composed of 8k words of 32 bits each. how many total bytes in memory?

Answers

The number of total bytes in memory is 32,000 bytes.

How many total bytes in memory?

We know that the memory is composed of 8k (or 8,000) words of 32 bits each.

To get the total memory, we just need to take the product between the number of words and the memory that each has.

This will give:

8,000*(32 bits) = 256,000 bits.

But we want this in bytes so we need to change the units, remember that:

1 bit = 0.125 byte.

Then we have:

256,000 bits = 256,000*( 0.125 byte) = 32,000 bytes.

The memory has 32,000 bytes in total.

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If the current through the 5.0-ohm resistor is 1.0 ampere, the current through the 15.0-ohm resistor is

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The current through the 15 ohms resistor of the given circuit with a calculated voltage of 5 V is; 0.33 A

What is the current through the resistor?

We are given;

Current through the 5 ohm resistor; i = 1 A

Formula for Voltage is;

V = iR

V = 1 * 5

V = 5V

Now, since the 5 ohms resistor and the 15 ohms resistor are in the same circuit, it means that they will have the same voltage. Thus;

Current through the 15 ohms resistor is;

I = V/R

I = 5/15

I = 0.33 A

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Decide if the following sentence is grammatically correct or incorrect. tú diríamos la historia. correct incorrect

Answers

Answer:

Incorrect

Explanation:

Answer:

incorrect

Explanation:

edge 2021

Write 7 × 1 + 4 × 1/10 + 6 × 1/1000 in standard form

Answers

Answer:

7 x 1 = 7 So 7 would go in the ones place

4 x 1/10 = 0.4

4 x 1/1000 = .006

Bring these all together: 7.406

Introduction to linear algebra 5th edition answers

Answers

Answer:

Ive already seen several questions incomplete like this.

Explanation:

Whats your question?

What do you need help on?

I took algebra a while ago so I may be able to help you.

Select the correct location on the number line. plot the on the number line.

Answers

Answer:

ladysmith

Explanation:

because is a area i live in

What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 + startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction

Answers

The solution of the equation x² = 8 - 5x is startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction

How to solve quadratic equation?

x² = 8 - 5x

x² + 5x - 8 = 0

Using quadratic formula

x = -b ± √b² - 4ac / 2a

= -5 ± √5² - 4(1)(-8) / 2(1)

= -5 ± √25 -(-32) / 2

= -5 ± √25 + 32 / 2

= -5 ± √57 / 2

= -5 + √57 /2 or -5 -√57/2

Therefore, the correct answer is; startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction

-5 - √57 / 2, -5 + √57 / 2

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Answer:

B)

Image to help is below here, sorry if its bad quality but good luck <3

In the 1960s, american men had to register for the draft if they were between the ages of 18 and 25. 19 and 27. 20 and 29. 21 and 31.

Answers

18 and 25. explanation: 18 is the legal age and they were desperate for soldiers so the minimum age was as low as it could be. hope this helps!

In the event of a national emergency, the draft might yet be reinstated by a congressional act. The organization in charge of maintaining a draft and registering men is known as the Selective Service System.

What selective service had to register for the draft?

The compulsory enlistment of people in the armed forces is known as a draft. Since 1973, the entire American military has been comprised of volunteers.

Selective Service registration is necessary for almost all males between the ages of 18 and 25 who are citizens of the United States or who have legal status there.

Citizens must register within 30 days of becoming 18 years old. Within 30 days after their arrival in the United States, immigrants must register.

Therefore,  18 is the legal age, and they were desperate for soldiers, so the minimum age was as low as it could be.

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Which detail from black boy best helps to develop the central idea that richard learns face his fears to help feed his family?

Answers

Answer:

"I hit again and again, dropping the money and the grocery list. The boys scattered, yelling, nursing their heads, staring at me in utter disbelief. They had never seen such frenzy."

Explanation:

just took test

Answer: "I hit again and again, dropping the money and the grocery list. The boys scattered, yelling, nursing their heads, staring at me in utter disbelief. They had never seen such frenzy."

Explanation:

just took test

Find a parametric equation of the line m through p and q

Answers

The parametric equation of the line illustrates the independent variables x, y and z

The parametric equation of the line and direction is x = 5 + t; y = -1; z = 3 -2t

How to determine the parametric equation?

The question is incomplete, as the points and the lines are not given.

So, I will make use of the following assumed parameters:

The line passes through:  (5, -1, 3)The direction is ~v = <1, 0, -2>

The parametric equation of the line is represented as:

r<x,y,z> = Line + t<direction>

This gives

r<x,y,z> = (5, -1, 3) + t<1, 0, -2>

Express the equation in terms of x, y and z

x = 5 + t * 1

y = -1 + 0 * t

z = 3 -2 * t

Solve the equations

x = 5 + t

y = -1

z = 3 -2t

Hence, the parametric equation of the assumed line and direction is x = 5 + t; y = -1; z = 3 -2t

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Describe the importance of the clay sculpture when creating bronze sculptures. (site 1)

Answers

The clay sculpture is the first step in the process of making a bronze sculpture.

What period is covered in the category of early childhood

Answers

Answer:

Early childhood covers the period from birth to nine years of age. 

Explanation:

that is the answer. good luck

Assume a six-month cd purchased for $5000 pays simple interest at an annual rate of 9.5%. how much interest does it earn?

Answers

Answer:

$3,157.89

Explanation:

Divide 5000 by 9.5%, times 6.

Hope this helps <3

Two objects are placed in thermal contact and are allowed to come to equilibrium in isolation. the heat capacity of object a is three times the heat capacity of object b and the initial temperature of object a (ta) is twice the initial temperature of object b (tb).

Answers

here is the answer below

the infection that puts women at risk for cervical cancer is

Answers

Answer:

human papillomavirus (HPV)

Explanation:

Envision geometry 9-1 additional practice polygons in the coordinate plane

Answers

An Envision geometry 9-1 additional practice is known to be a textbook that covers topics in geometry such as polygons, shapes, etc.

What is the enVision Geometry about?

This is known to be a textbook that is made up of  Solutions and and answers to geometry questions.

The use of enVision Geometry includes is one that provides students with exercises,  process step by step of solving geometry cases.

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What phrase is repeated in this passage? what idea is emphasized through repetition?

Answers

Answer:

Q: What phrase is repeated in this passage?
A: Go Back

Q: What idea is emphasized through repetition?
A:
Returning home with renewed hope

Explanation:

Got it right on edge!

What phrase is repeated in this passage A: Go Back. What idea is emphasized through repetition? Returning home with renewed hope.

What is Repetition?

Repetition is the straightforward repetition of a word within a condensed number of words (including in a poem), without specific word placement to ensure emphasis.

It is a multilingual written or spoken device that is often employed in Hindi and Mandarin in addition to English. As a result, it is rarely referred to as a figure of speech.

Its forms, many of which are described below, have various resonances to listing (forms of enumeration, such as "First, Second, Third, and Last..."), and, as a matter of trite logic, frequently have effects that are comparable to each other.

Therefore, What phrase is repeated in this passage A: Go Back. What idea is emphasized through repetition? Returning home with renewed hope.

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Which phrase best describes the rock’s texture? jagged grains coarse grains rounded grains non-banded grains

Answers

Answer: non-banded grains

Explanation:

just took the test

Non-banded grains, a phrase, best describes the rock’s texture. Thus, option (d) is correct.

What is rock?

The rock, according to geology, is a part of the solid surface. The rock is the collection of these cemented mineral grains. The rocks are small and bigger. The small rocks are also known as pebbles. The type of natural resource is rock. The rocks are used for making the building.

According to the best described of the rock’s texture are the non-banded grains. There are the metamorphic rocks are the texture of the foliated are the lack of the platy minerals. There was the commonly resulted in the regional metamorphism. There are the so many examples are greenstone, marble, anthracite, and the hornfel etc.

Therefore, option (d) is correct.

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When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the

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If data are categorized as, for example, places of residence, the measure of central tendency to use is the median

What is the median?

This is known to be the middle number in a group of sorted numbers, that are said to be ascending or descending.

From the above statement, the data of distributions that extreme values, the median is a best measure of central tendency as it will give the right accuracy we need.

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Course 3 chapter 5 triangles and the pythagorean theorem

Answers

The pythagorean theorem is used to calculate the lengths of a right triangle

The hypotenuse of the triangle is 6.5 cm

How to determine the hypotenuse of the triangle?

From the complete question, we have the following side lengths

Opposite = 5.7 cmAdjacent = 3.2 cm

The hypotenuse of the triangle is then calculated as:

Hypotenuse^2 = Opposite^2 + Adjacent^2

This gives

Hypotenuse^2 = 3.2^2 + 5.7^2

Evaluate the sum

Hypotenuse^2 = 42.73

Take the square root of both sides

Hypotenuse = 6.5

Hence, the hypotenuse of the triangle is 6.5 cm

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What did passage of the immigration act of 1965 accomplish?the law lowered the number of asians allowed to immigrate to the us.the law allowed no more immigration from european nations.the law supported victims of political persecution.the law made an effort to establish a quota system.

Answers

First dude is correct is the correct option regarding the immigration act.

What is Immigration act?

The Immigration and Nationality Act of 1965 underwent a broad national overhaul. It boosted overall immigration so that for the fiscal years 1992–1994 and going beyond, 675,000 immigrants could enter the country annually.

It offered family-based immigration visas, established five unique employment-based visas that were divided up according to occupations, and instituted a diversity.

It is a visa program that established a lottery to admit immigrants from "low admittance" countries  or nations whose citizens were underrepresented in the United States.

Therefore, First dude is correct is the correct option regarding the immigration act.

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Answer: C. The law supported victims of political persecution.

Explanation:

which of the following is a clinical sign of bulimia nervosa?

Answers

Answer:

tu mamá

Explanation:

la mama de la mama de la mama de la mama de la mama de la mama de la mama de la mama de la mama

Can you conclude that a = b if a and b are two sets with the same power set?

Answers

The sets A and sets B contains items called elements

It is true that the set A is equal to set B

How to determine the true statement?

The sets are given as:

Set A and set B

Since the sets have the same power set, then we have:

P(A) = P(B)

The above means that:

For every element X in A, then the element is also in B

And

For every element Y not in A, then the element is also not in B

So, we can conclude that:

All subsets of the set A are subsets of the set B and vice versa

Hence, the set A is equal to set B

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what are the three basic steps in the nsc collision prevention formula

Answers

Answer:

Read the road ahead. Reduce your speed. Drive to the Right. Ride off the road if necessary.

Explanation:

I had this on a test and i got it right hope it works

The three basic steps in the NSC collision prevention formula are that Collisions or injuries may be avoided via way of means of following protection regulations and following protection mechanisms.

What are the 3 primary steps of the DDC collision?

The 3 primary steps of the DDC collision prevention formulation are to Recognize, Understand, and Act correctly.

Recognize the risks such that, the driving force need to be alert approximately the surroundings and test the mirrors each five to ten seconds Understand the protection such that the driving force need to appear out for any risks, hazardous driving, and different viable risks at the road. The driving force needs to be capable of recognizing the outcomes of risks.

Always use signals, manipulate the speed, and keep enough distance from the cars to keep away from a collision.

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In exercises 3–6, find an explicit description of nul a by listing vectors that span the null space.

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The explicit description of null A by listing vectors that span the null space.

[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]

What is the Matrix Vector?

We are given the matrix vector;

[1  3 5 0]

[0 1 4 -2]

Now, let's find the general Ax = 0 solution for the free variables. Thus;

[A, 0] =  

[1 3 5  0]

[0 1 4 -2]

Thus;

R₁ → R₁ - 3R₂

⇒ [1 0 -7  6 0]

   [0 1 4  -2 0]

The general solution is:

x₁ = 7x₃ - 6x₄

x₂ = -4x₃ + 2x₄

x₃ and x₄ are free variables

x = [tex]\left[\begin{array}{ccc}x_{1} &&&x_{2} \\x_{3} \\x_{4} \end{array}\right][/tex] = [tex]x_{3} \left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] + x_{4} \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]

Thus, Null A is;

[tex]\left[\begin{array}{ccc}{7} &&&{-4} \\{1} \\{0} \end{array}\right] \left[\begin{array}{ccc}{-6} &&&{2} \\{0} \\{1} \end{array}\right][/tex]

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The diagram shows a food web in an ecosystem. Which of these changes is most likely to occur in the ecosystem if all the insects and worms were affected by a disease and died?​

Answers

Answer:

Not sure.

Explanation:

Do you have the actual diagram to visualize?

What happens to standard deviation when mean decreases

Answers

Answer:

Data are getting more concentrated around the mean

Explanation:

Fundamentals of algebra practice book grade 7 pdf answer key

Answers

An example of Fundamentals of algebra practice book grade 7 question is A game-worn jersey sells for $100 more than a new jersey. Write an equation for this scenario.

What is the Fundamentals of algebra practice book about?

The Fundamentals of Algebra is a book that is made for Grade 7. It is a practice book that is made up of exercise and answers that help the student to have a better knowledge of algebra.

The equation for the above scenario is:

g = game - worn jersey

The Equation therefore will be: g=100+n

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Kari and two of her friends are entering their senior year of high school. The tables below show the estimated expenses at three tied of schools they are considering. Complete the blanks in each table and use the information to help you answer questions 1-3 When direct labor is used as the overhead allocation base, the variable overhead efficiency variance ______. Multiple choice question. cannot be calculated will always be unfavorable will be favorable when the direct labor efficiency variance is favorable explains how efficient overhead resources were used A government creates an army.Which purpose of government is it fulfilling?A. protecting the peopleB. resolving conflictsC. making lawsD. providing public services What is the smallest lava fragments produced by an explosive eruption called? ????!!!!??!!?!!?!!?!!?!!!!?!!!! Two cars collide at an intersection. One car has a mass of 1300 kg and ismoving 12 m/s to the north, while the other has a mass of 1400 kg and ismoving 11 m/s to the south. What is their combined momentum?O A. 31,000 kg m/s southO B. 200 kg m/s northO C. 31,000 kg m/s northO D. 200 kg m/s south 2x - 2/3 = 5 13-Help please Which is not a famous art centre in South Africa. a. Polly Street b. Rorkes Drift C. Community Arts Centre d. Long Street dot Previous page The multiplier effect occurs when an initial increase (or decrease) in autonomous expenditure produces a greater increase (or decrease) in real GDP than the initial change.In which type of discretionary fiscal policy does the multiplier play a role?a. government spending changes onlyb. both government spending changes and tax changesc. neither government spending changes nor tax changesd. tax changes onlyAssume a marginal propensity to consume (MPC) of 0.5.Which discretionary fiscal policy would have a more pronounced impact on the economy?a. A 800 billion dollar increase in government spending, or a 800 billion dollar tax cut, would both have an equal impact on the economy.b. A 800 billion dollar tax cut would have a more pronounced impact on the economy.c. A 800 billion dollar increase in government spending would have a more pronounced impact on the economy. Whoever gets it right can have brainliest, but answer ASAP! What's a quote that shows Jack wanted total power within the group in "Lord of the Flies"100 points please help Does the graph represent a function? Why or why not? Which xxx completes the code to read every integer from file "data. txt"? fileinputstream inputstream = null; scanner infs = null; int total = 0; inputstream = new fileinputstream("data. txt"); infs = new scanner(filebytestream); while(xxx){ total = total + infs. nextint(); } system. out. println("total: " + total); group of answer choices inputstream. hasnextint( ) total != 0 infs. hasnextint( ) infs. eof( ) == false May anyone help me pls At a track meet, Jacob and Daniel compete in the 220 m hurdles. Daniel finishes in of a minute. Jacobfinishes with of a minute remaining. Who ran the race in the faster time?12 how would the feeding activities of a monkey be effected if it had a large heavy body Viewed from a distance, how would a flashing red light appear as it fell into a black hole?. S Why do you believe the sponsors of the Johnson-Reed Act chose1890 as the census year and not 1920, the year for which thegovernment had the most recent census data?4. How would you argue, using these statistics, that eugenics andeugenicists influenced the Johnson-Reed Act?5. How could you modify the Johnson-Reed Act to avoid favoring onespecific nationality over another? In other words, what other criteria -besides nationality-could you use to determine immigration visaeligibility?SAVECLEAR ALL List the sample space in the given experiment how many outcomes are possible brainly Select all the correct triangles.Which triangles in the coordinate plane are congruent to triangle A because they can be mapped onto it by a sequence of rigid transformations?