what is the formula for finding the length of a line on the cartesian plane.​

Answers

Answer 1

Answer:

Step-by-step explanation:

distance =  square root [ [tex](x2-x1)^{2}[/tex] + [tex](y2-y1)^{2}[/tex] ]

where you have two points on the line

Point 1 = P1 = (x1,y1)

point 2 = P1 =(x2,y2)


Related Questions

Mr smith owns a bike store and typically marks up the bikes 20% over the price that the bikes cost him. The bikes cost him 69.95.
Need answer asap pls help will mark as brainliest!!

Answers

Answer: $83.94

Step-by-step explanation:

20% = 0.2

69.95 + 69.95(0.2) = 69.95(1 + 0.2) = 69.95(1.2) = 83.94

Which of the following values is closest to the standard deviation for the set
of data shown below?
23, 64, 73, 47, 22, 46, 34, 48, 67, 89, 83, 12, 23, 44, 16

Answers

It’s A thinks for the time

help me to solve this question please faster thankyouu​

Answers

Answer:

Step-by-step explanation:

u799

plisss help me in thiss

Answers

Answer:

x=80

Step-by-step explanation:

The angle of a line is 180*.

The equation would be (x+20)+x=180

Subtract 20 from both sides: 2x=160

Divide by 2: x=80

That's your answer!

I hope this helps!

Answer:

x=80

Step-by-step explanation:

I cant explain well but edge 2021 never lie's!

Can someone please help me with this?

Answers

Answer:

A - True

B - False

C - True

D - False

E - True

Step-by-step explanation:

a right triangle is 18 inches long and a hypotenuse that is 30 inches long. what is the perimeter, in inches, of this triangle?

Answers

Answer:

The perimeter is 72 inches

Step-by-step explanation:

using the pythagorean theorem we can solve for the missing leg by plugging in the values we know.

[tex]a^{2} + b^{2} = c^{2} \\18^{2} + b^{2} = 30^{2} \\324 + b^{2} = 900\\ b^{2} = 900-324\\b^{2} = \sqrt{576} \\b= 24[/tex]

now you just add the values, 30 + 24 + 18

Find the integral of x(4x² + 1) from 0 to 2. a. 18 c. 22 b. 16 d. 20

Answers

Answer:

a. 18

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Distributive Property

Algebra I

Terms/Coefficients

Calculus

Integrals

Definite Integrals

Integration Rule [Reverse Power Rule]:                                                                      [tex]\displaystyle \int {x^n} \, dx = \frac{x^{n + 1}}{n + 1} + C[/tex]

Integration Rule [Fundamental Theorem of Calculus 1]:                                        [tex]\displaystyle \int\limits^b_a {f(x)} \, dx = F(b) - F(a)[/tex]

Integration Property [Multiplied Constant]:                                                             [tex]\displaystyle \int {cf(x)} \, dx = c \int {f(x)} \, dx[/tex]

Integration Property [Addition/Subtraction]:                                                           [tex]\displaystyle \int {[f(x) \pm g(x)]} \, dx = \int {f(x)} \, dx \pm \int {g(x)} \, dx[/tex]

Step-by-step explanation:

Step 1: Define

Identify

[tex]\displaystyle \int\limits^2_0 {x(4x^2 + 1)} \, dx[/tex]

Step 2: Integrate

[Integrand] Distribute x [Distributive Property]:                                              [tex]\displaystyle \int\limits^2_0 {(4x^3 + x)} \, dx[/tex]Rewrite Integral [Integration Property - Addition/Subtraction]:                     [tex]\displaystyle \int\limits^2_0 {4x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex]Rewrite 1st Integral [Integration Property - Multiplied Constant]:                 [tex]\displaystyle 4\int\limits^2_0 {x^3} \, dx + \int\limits^2_0 {x} \, dx[/tex][Integrals] Reverse Power Rule:                                                                      [tex]\displaystyle 4(\frac{x^4}{4}) \bigg| \limits^2_0 + (\frac{x^2}{2}) \bigg| \limits^2_0[/tex]Evaluate [Integration Rule - Fundamental Theorem of Calculus 1]:              [tex]\displaystyle 4(4) + 2[/tex]Evaluate:                                                                                                           [tex]\displaystyle 18[/tex]

Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Integration

Book: College Calculus 10e

Which of the following numbers does not have
factors that include the smallest factor (other
than 1) of 119 ?
A. 28
B. 35
C. 40
D. 63

Answers

Answer:

C. 40

Step-by-step explanation:

The smallest factor of 119 (other than 1) is 7.

28/7 = 4,

35/7 = 5,

40/7 = 5 5/7

63/7 = 9

So it is 40

Aflati al 2013 lea termen al unei progresii aritmetice cu termenul al treilea egal cu 12 si diferenta a doi termeni consecutivi, 4.

Answers

Răspuns:

8052

Explicație pas cu pas:

Al treilea termen al unei progresii aritmetice:

T (n) = a + (n - 1) d

Unde ;

a = primul termen; d = diferență comună = 4; n = al treilea termen (numărul termenului)

Al treilea (3) termen:

T (3) = a + (3-1) 4

T (3) = 12

12 = a + 2 (4)

12 = a + 8

12 - 8 = a

4 = a

Prin urmare, primul termen = a

Al 2013-lea mandat;

T (2013) = a + (2013-1) d

T (2013) = 4 + (2012) 4

T (2013) = 4 + 8048

= 8052

How many triangles are there in the picture?
Clue, there are more than 30.

Answers

Answer:

36?

Step-by-step explanation:

Answer:

42 Triangles

Step-by-step explanation:

Count all the triangles one by one and determine the # of triangles.

Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

2/3.

Step-by-step explanation:

.

Answer:

Solution given:

the relationship between perpendicular and base is given by tan angle

Tan 60=opposite/Adjacent

[tex]\sqrt{3}[/tex]=x/3

x=[tex]3\sqrt{3}[/tex]

The value of x is [tex]3\sqrt{3}[/tex]

Simplify:
a.5³×5‐²×5⁴.
b.a⁴×a‐²×x³.
c.(x⁵)²×(y⁵)³
__________
(x³)³×(y²)²

Answers

Answer:

a. 125 * 0.04 * 625 = 5 * 625 = 3125

b. a^2 * x^3

c. x^10 * x^ y^15

Last one: x^9 * y^4

Step-by-step explanation:

Because yes.

what is the value of x?

Answers

Answer:

x°=70°{ vertically opposite angle are equal}

hope it helps.stay safe healthy and happy..

We know that,

Vertically opposite angles are equal,

So, x° = 70°

=> x = 70

Can someone help me with this question please. I've been struggling.

Write the equation of the line of reflection​

Answers

Answer:

y=-1

Step-by-step explanation:

Since we see an overlap, the line must cross through the original image.We can solve the equation of the line of reflection by realizing there is no slope because the reflection is parallel to the x-axis.

What is a counterexample to this claim?
All quadrilaterals are parallelograms.
OA a rectangle
OB.
a rhombus
ОС. .
a square
OD.
a trapezoid

Answers

I believe A Rhombus would be your answer

Answer:

The answer is D.

Step-by-step explanation:

The triangle below is isosceles. Find the length of side xx in simplest radical form with a rational denominator.

Answers

Answer:

Solution given:

Since the given triangle is isosceles and right angled triangle

perpendicular [p]=base[b]=x

hypotenuse [h]=6

we have

by using Pythagoras law

p²+b²=h²

x²+x²=6²

2x²=36

x²=36/2

x²=18

x=[tex]\sqrt{18}[/tex]

x=[tex]\bold{3\sqrt{2}}[/tex]

The length of side x in simplest radical form with a rational denominator is [tex]3\sqrt{2}[/tex]

Let the perpendicular base be x.

Given the following data:

Hypotenuse = 6 units.

To determine the length of side x in simplest radical form with a rational denominator, we would apply Pythagorean's Theorem:

What is the Pythagorean Theorem?

Mathematically, Pythagorean's Theorem is given by this formula:

[tex]c^2 = a^2 + b^2[/tex]

Substituting the given parameters into the formula, we have:

[tex]6^2 = x^2 + x^2\\\\36=2x^2\\\\18=x^2\\\\x=\sqrt{18} \\\\x=3\sqrt{2}[/tex]

Read more on Pythagorean Theorem here: https://brainly.com/question/16176867

18x-108
-----------
6x-54

simplify the expression




A.

B.

C.

D.

Answers

Answer:

3x-2

---------

x-1

Step-by-step explanation:

simplify 18x/6x = 3x/1x

simplify 108/54 = 2/1

f(x) = x5 – 9x3 Choose all of the zeroes of f(x)

Answers

Answer:

[tex]x^{3} (x^{2} -9)[/tex]

[tex]x^{3} (x+3)(x-3)[/tex]

zeros at : 0,3,-3

Step-by-step explanation:

what is 1/4 of the H.C.F of 24,16,48​

Answers

Answer:

2

Step-by-step explanation:

What is 1/4 of the H.C.F of 24,16,48​

Your answer

GIven data

24,16,48​

let us find the HCF of the above numbers

24=2*2*2*3

16= 2*2*2*2

48=2*2*2*2*3

Hence the HCF is 2*2*2= 8

Let us find 1/4 of the HCF

=1/4*8= 2

Hence the final answer is 2

1). What is the equation of the line that is perpendicular to y= -3x+1 that passes through the point (9,0)?

2). What is the equation of the line that is parallel to y= -3x+1 that passes through the point (9,0)?



Answers

Answer:

Step-by-step explanation:

1) Slope of the given line = -3

slope of the perpendicular line = 1/3

y - 0 = 1/3(x-9)

y = 1/3x - 3

2) slope of the parallel line = -3

y - 0 = -3(x-9)

y = -3x + 27

Answer:

1). y = 1/3x - 3       2).y = -3x + 27

Step-by-step explanation:

1). y = 1/3x + b

0 = 1/3(9) + b

0 = 3 + b

-3 = b

y = 1/3x - 3

2)/ y = -3x + b

0 = -3(9) + b

0 = -27 + b

27 = b

y = -3x + 27

The first step for deriving the quadratic formula from the quadratic equation, 0 = ax2 + bx + c, is shown.

Step 1: –c = ax2 + bx

Which best explains or justifies Step 1?

subtraction property of equality
completing the square
factoring out the constant
zero property of multiplication

Answers

Answer:

subtraction property of equality

Step-by-step explanation:

From the Standard form for quadratic equation, it is possible to see that step 1 represents the subtraction property of equality.

Quadratic function

The quadratic function can be represented by a quadratic equation in the Standard form: ax²+bx+c=0 where: a, b and c are your respective coefficients. In the quadratic function the coefficient "a" must be different than zero (a≠0), the coefficient c is a constant and the degree of the function must be equal to 2.

From the Standard form: ax²+bx+c=0, it is possible to see that step 1:

–c = ax² + b represents the subtraction property of equality.

Read more about a quadratic function here:

brainly.com/question/1497716

Hans withdrew 40 dollars from his checking account write a signed number to represent this change in his account

Answers

Answer:

-40

Step-by-step explanation:

I assume a signed number means a number with a positive or negative sign in front of it. If you withdraw cash from your checking account, your checking account amount decreases, so it would be like subtracting 40 dollars, or -40.

Hope this helps (●'◡'●)

pls help im begging u..

Answers

9 hours trust me I did it already

i need help with this!!!!

Answers

Answer:

Tomas

Step-by-step explanation:

Divide Distance by Time

[tex]\frac{distance}{time}[/tex] = speed

Answer:

Tomas is the fastest

Step-by-step explanation:

To find out who is the fastest, divide the distance by the time to get the unit rate. (The amount they drove each hour.)

Maren: 60 / 1 = 60

Safiya: 120 / 3 = 40

Tomas: 84 / 1.2 = 70

Cam: 75 / 1.5 = 50

Tomas has the largest unit rate therefore he is  the fastest.

help me right now pls ?!

Answers

Answer:

B) =−7j−k−1

Step-by-step explanation:

10k+17-7j-18-11k what we have

=(−7j)+(10k+−11k)+(17+−18) combine like terms

=−7j−k−1

Answer:

-7j-k-1

Step-by-step explanation:

for this problem you have to subtract the like terms while following the order of the equation (start with the terms on the left and move terms)

Step 1:

-7j has no like terms

= -7j

Step 2:

10k and -11k are like terms

10k-11k

= -1k

Step 3:

17 and -18 are like terms

17-18

= -1

Step 4:

put all simplified terms together

=-7j-k-1

If f(x) = [tex]\frac{1}{9}[/tex] x-2, what is [tex]F^{-1}[/tex](x)

Answers

Answer:

Solution given:

f(x) = [tex]\frac{1}{9}[/tex] x-2

let f(x)=y

y = [tex]\frac{1}{9}[/tex] x-2

interchanging role of x and y

x= [tex]\frac{1}{9}[/tex] y-2

x+2= [tex]\frac{1}{9}[/tex] y

y=9(x+2)

y=9x+18

So

F-¹(x)=9x+18

and

F-¹(-1)=9*-1+18=-9+18=9

Tony is 3 years older than Marie. This can be modeled with the following equation

Answers

Answer:

M = T - 3

Step-by-step explanation:

Given

T = M + 3 ( subtract 3 from both sides )

T - 3 = M , that is

M = T - 3

Answer:

[tex] \small \sf \: M = { \fbox { \green{T} } } - 3[/tex]

Step-by-step explanation:

T = M + 3

Swap the sides of of equations .

M + 3 = T

subtract 3 from both side

M + 3 - 3 = T - 3

M = T - 3

HELP! Use the elimination method to solve the system of equations.

A. (0,8)

B. (-4,0)

C. (-2,4)

D. (0,3)

Answers

Answer:

B, (-4,0)

Step-by-step explanation:

2(4x - 2y = -16)       8x - 4y = -32

   8x - 4y = -32

+  -3x + 4y = 12

  5x  = -20

x = -4

4(-4) - 2y = -16

-16 - 2y = -16

-2y = 0

y = 0

URGENT PLS ANSWER QUICKLY​

Answers

Answer:

5 is 14cm . 14 is 2pie r. 6 is 120

Answer:

Question 5 = 14

Question 6 = 120

I hope this helped!

The pie chart represents the results when 120 people in a shopping centre were asked which country they were born in. Uk:84 What fraction of people were born in the UK? Give your answer in its simplest form.

Answers

Answer:

22 people were born in the uk  (66 ÷ 360) × 120=22

Step-by-step explanation:

Using the pie chart, the fraction of people born in the UK, is: 7/30.

What is a Pie Chart?

A pie chart is a graphical representation used to describe the composition of a data using degrees or percentages.

84° is given as the number of people that were born in the UK.

That's about: 84/360 × 120 = 28 people.

28 out of 120 people would give us a fraction of: 28/120 = 7/30.

Learn more about pie chart on:

https://brainly.com/question/26851221

#SPJ2

Other Questions
Write a letter to your sister suggesting her how she can take online class properly Liquid octane will react with gaseous oxygen to produce gaseous carbon dioxide and gaseous water . Suppose 10.3 g of octane is mixed with 23. g of oxygen. Calculate the maximum mass of water that could be produced by the chemical reaction. Round your answer to significant digits. Which is a disadvantage of debt financingFluctuations in the currency exchange market can lead to ballooning interest payments.Paying for the interest on a loan makes it the most expensive form of financing available.Banks are usually unwilling to fund a business in its early stages of development.Securing a loan involves a lot of paperwork and an extremely lengthy approval process. Si la rapidez del sonido en el agua es de 1450 m/s. Cunto tiempo tardar en recorrer 500 m en el fondo del lago? question is on the image.can you do question a and b pleaseI'll you give the brainliest. WILL GIVE 50 POINTS PLS RESPOND FAST!!!!The table below shows the radius y, Im centimeters, created by grouping algae in x days: Time (x) 2 4 6 8 (Days)Radius(y) 4 7 10 14(cm)Part A: what is the most likely value of the correlation coefficient of the data in the table? Based on the correlation coefficient, describe the relationship between time and radius of the algae. [choose the value of the correlation coefficient from 1, 0.97, 0.5, 0.2.]Part B: what is the value of the slope of the graph of radius versus time between 6 and 8 days, and what does the slope represent?Part C: does the data in the table represent correlation or causation? Explain your answer. QUESTION 33Which of the following is a key component of No Child Left Behind? Find the nth term...-1,5,11,17 Read the excerpt from Act III of Hamlet.Ophelia:What means this, my lord?Hamlet:Marry, this is miching mallecho; it means mischief.Ophelia:Belike this show imports the argument of the play.Enter Prologue.Hamlet:We shall know by this fellow: the players cannot keep counsel; theyll tell all.Ophelia:Will he tell us what this show meant?Hamlet:Ay, or any show that youll show him; be not you ashamed to show, hell not shame to tell you what it means.Ophelia:You are naught, you are naught. Ill mark the play.What word from the excerpt suggests that Hamlet has hidden motives in showing the play?mischiefargumentcounselnaught All claims in science should be supported by What are the values of x for which the denominator is equal to zero for y=(x+3)/(x^2+4x) The solutions in the two arms of a U-tube are separated by a membrane that is permeable to water and glucose but not to sucrose. Side A is filled with a solution of 4M sucrose and 2M glucose. Side B is filled with 2M sucrose and 3M glucose. Initially, the solution in side A, with respect to side B is______________. Match each word with its definition.propitiation1. A useless, idle, or worthless thing.covenant2. To implore earnestly.3. A solemn agreement between two or more parties.beseech4. To cause to become favorably inclinedvanity5. The quality or condition of virtuous, right or just behavior.righteousness ANSWER CORRECTLY OR ILL REPORT YOU How can political instability make genocide more likely?by causing hardships and famine for the general populationby encouraging those who disagree to live together in a part of the cityby creating an unequal distribution of power between groupsby causing courts to punish members of certain groups Sixty-five percent of men consider themselves knowledgeable soccer fans. If 10 men are randomly selected, find the probability that exactly seven of them will consider themselves knowledgeable fans. Round to the nearest thousandth.0.7000.650.2520.021 what are the coordinates of the point that is 1/6 of the way from a(14 -1) to b(-4 23) boat carrying people more than its capacity is attributes of sinking why In comparing Mongol and Manchu rule in China, it can be accurately stated that the a. Mongols were better at adapting to the ways of the Chinese than the Manchus. b. Manchus were more successful than the Mongols. c. Manchus produced a system of government in China in which there was absolutely no distinction made for Manchurian identification. d. both succumbed to new invaders from the Asian steppes. e. Mongols were more successful than the Manchus. Some consumer electronic products such as plasma TVs, DVD players and digital cameras, are introduced at very high prices but over time, their prices start falling (beyond what could be attributed to falling costs as companies take advantage of economies of scale and cheaper technologies). Which of the following is the best explanation for this observation? A. More firms are likely to enter the consumer electronic market over time, forcing market prices down. B. Early adopters of these new products typically have a higher demand and higher income compared to those who are willing to wait. C. Early adopters are more quality conscious and are willing to pay higher prices for the initial production of these goods. D. After satisfying the demand for early adopters, firms lower price to attract the more price sensitive consumers. What is still allowed under the Patriot Act? Do you agree with these provisions? Explain.