Select all the equations that represent the distance formula. Group of answer choices LaTeX: d=\sqrt{\left(x_1-x_2\right)^2+\left(y_1-y_2\right)^2} d = ( x 1 − x 2 ) 2 + ( y 1 − y 2 ) 2 LaTeX: d=\sqrt{\left(x_2+x_1\right)^2+\left(y_2+y_1\right)^2} d = ( x 2 + x 1 ) 2 + ( y 2 + y 1 ) 2 LaTeX: d=\sqrt{\left|x_2-x_1\right|^2+\left|y_2-y_1\right|^2} d = | x 2 − x 1 | 2 + | y 2 − y 1 | 2 LaTeX: d=\sqrt{\left(x_2-x_1\right)^2+\left(y_2-y_1\right)^2} d = ( x 2 − x 1 ) 2 + ( y 2 − y 1 ) 2 LaTeX: d=\sqrt{\left(x_2+x_1\right)-\left(y_2+y_1\right)}

Answers

Answer 1

Answer:

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Step-by-step explanation:

The distance between two points A(x₁,y₁) B(x₂,y₂) is given by the formula as follows :

[tex]D=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

It is used to find the distance between two points. It is an application of the Pythagorean theorem. Usually, the distance covered is equal to the product of speed and time. But when speed and time in not given but coordinates are given, then only we can use this formula.


Related Questions

1. Write an equivalent
expression for
3x + 12 +7x + x

Answers

Answer:

11x+12

Step-by-step explanation:

combine like terms

Answer : 11x + 12

(:

Find the volume of the cylinder. Use 3.14 as π.

Answers

Where is the question?

through (4,-3) parallel to y=-2x

Answers

Answer:

y = -2x + 5

Step-by-step explanation:

Parallel lines have the same slope, so the line's slope would be -2.

Because we have a coordinate point and the slope of the line, we can figure out the equation by using the point slope formula:

( y - y1 ) = m( x - x1 )

( y - ( - 3 ) ) = -2 ( x - 4 )

y + 3 = -2x + 8

y = -2x + 5

The equation of the line is y = -2x + 5

6. Write the equation of the line in slope-intercept form given the following:
Point (-4,-4) and Slope of
5/4

Answers

Answer:

[tex]y=\dfrac{5}{4}x+1[/tex]

Step-by-step explanation:

Slope intercept form a equation of a line is given by the following formula:

Slope intercept form:

[tex]y=mx+c[/tex]

Given that, a point is (-4,-4)

i.e.

[tex]x=-4,\\y=-4[/tex]

Slope, [tex]m =\frac{5}{4}[/tex]

Putting the given values in the Slope intercept form equation:

[tex]-4=-4\times \dfrac{5}{4}+c\\\Rightarrow -4=-5+c\\\Rightarrow c =1[/tex]

Putting the value of [tex]c[/tex] and [tex]m[/tex] in the slope intercept form:

[tex]y=\dfrac{5}{4}x+1[/tex]

Lea solves the equation below by first squaring both sides of the equation.
3+2y=√-y
What extraneous solution does Lea obtain?
y=

Answers

Answer: IF YOU ARE ON KHAN ACADEMY THE ANSWER IS NOT -1

THE CORRECT ANSWER ON KHAN IS -9/4

For equation 3 + 2y = √(-y) the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

What is quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable x , ax²+bx+c=0. with a ≠ 0 .

When Lea squares both sides of the equation 3 + 2y = √(-y), she gets:

(3 + 2y)² = (-y)

Expanding the left side, we get:

9 + 12y + 4y² = -y

Bringing all the terms to one side, we get a quadratic equation:

4y² + 13y + 9 = 0

We can solve this quadratic equation using the quadratic formula:

y = (-b ± √(b² - 4ac)) / 2a

Substituting the coefficients a = 4, b = 13, and c = 9, we get:

y = (-13 ± √(13² - 4(4)(9))) / 2(4)

y = (-13 ± √97) / 8

So the solutions are:

y = (-13 + √97) / 8 or y = (-13 - √97) / 8

Hence, the extraneous solution does Lea obtain is y = (-13 + √97) / 8 or y = (-13 - √97) / 8

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I need help with this, please!

Answers

Answer:g(x)=-x/2-6

Step-by-step explanation:plug it in

Is this relationship proportional?

Carrots (lb)
2 | 3 | 4
Number of carrots
23 | 33 | 43

Answers

yes it is because of the way that it is set up

Answer:

4

Step-by-step explanation:

Make x the subject of h = 4(x + 3y )+ 2

Answers

Answer:

x =h-12y-2/4

Step-by-step explanation:

h = 4x +12y +2

h-12y-2=4x

thus x = h - 12y - 2 / 4

f(x)=3x+12 and g(x)=4x-8 find h(x)=f(x)+g

Answers

Sorry yyyyyyyyyyyyyyyyyyyyy

A cookie factory puts 2/5 of a barrel of flour into each batch of cookies. How much flour will the factory use for 5 batches?

Answers

Answer:

they would use 2 barrels of flour. or 10/5

Step-by-step explanation:

Answer:

2 barrels

Step-by-step explanation:

Just multiply 2/5 by 5

Hope it helps ^,^

A pilot takes a taxi from the airport and the hotel. The taxi driver charges a $2.50 fee plus $2.65 per mile. Write an equation that can be used to find y, the total cost of the trip, if x represents the number of miles on the trip.

Answers

Answer:

2.50 + 2.65x = y

Step-by-step explanation:

The 2.50 fee won't change but the price per mile will, each mile will cost $2.65 more. And since we don't know how many miles the plot is taking, $2.65x. Then the total cost is y

Answer:

Step-by-step explanation: if the 2.50 is staying the same, then the answer is y=2.50x + 2.65

Una recta que pasa por los puntos A (2,1) y B (6,3) y otra recta pasa por A y por el punto (0,y) ¿Cuánto vale y, si ambas rectas son perpendiculares?

Answers

The translation of the question given is

A line that passes through the points A (2,1) and B (6,3) and another line passes through A and through the point (0, y). What is y worth, if both lines are perpendicular?

Answer:

y = 5

Step-by-step explanation:

Line 1 that passes through A (2,1) and B (6,3)  

Slope (m1) = 3-1/6-2 = 2/4 = 1/2

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

2y - 2 = x- 2

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

Line 2 passes through A (2,1) and (0,y)

slope (m2) =[tex]\frac{y-1}{-2}[/tex]

Line 1 and Line 2  are perpendicular

m1*m2 = -1

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

y-1 = 4

y = 5

slope = -2

Equation of Line 2

Y-1 = -2(x-2)

y -1 = -2x +4

2x +y = 5

Rewrite, using the distributive property. -3(20 + -29d) = [?] + [ ]d​

Answers

Answer:

-60+87d

     or

87d-60

Step-by-step explanation:

-3(20+-29d)=

-60+87d

What is -3 4/9 • 5 2/5

Answers

The answer is -18 3/5

See attachment for answer.

The answer is -93/5.

At which plant is the cost lowest for producing 5 radios?

Answers

Answer:

plant c is the answer to your question

Gcf of 80x^3 and 30yx^2

Answers

The answer is 30xy3 2 +1
Answer:
10x^2
That's what I got

WHOEVER ANSWERS FIRST GETS BRAINLEST!

The number p of pennies in Jorge's bank is one fourth the number of nichels, The wokal
number of coins in the bank is 25,
Which equation could be used to find m?
n= 25
06 A-' = 25
+ 2n = 25

Answers

Answer:

C

Step-by-step explanation:

Plz help me answer this question

Answers

Answer: 4/5 - 2

Step-by-step explanation:

Simply put it into a graphing calculator

The value of x + x(xx) when x = 2 is:

Answers

Answer:

10

Step-by-step explanation:

X+x(xx)

X+x(x^2)

X+x^3

2+2^3

10

Answer:

10.

Step-by-step explanation:

2 + 2 x (2x2)

= 2 + 2 x 4

= 2 + 8

= 10

Hope that helped, :)

The image below shows the download speed of three different companies. Use the information to answer the questions.

Complete questions 1-5 in order.

1) What is the download speed in MB per minute for AT&T?

2) What is the download speed in MB per minute for Bidmore?

3) What is the download speed in MB per minute for Comcast?

4) Who has the best download speed? Explain your choice.

5) All these equations show proportional relationships. Bid more's graph is shown, what would the other two graphs look like for AT&T and Comcast?
They will go through _________and be a __________line.

Answers

Answer:

1) The download speed for AT&T is 1,800

2) The download speed for Bidmore is 1,500

3) The download speed for Comcast is 1,680

4) AT&T has the best download speed out of the three.

5) They will go through the origin and be a proportional line.

Step-by-step explanation:

Please help me with this please

Answers

Answer: The second to last option I think

Step-by-step explanation:

Answer:i think its the The second

Step-by-step explanation:   so  look 2x6=12 and 4x2=8 so the snswers are on the right and the question is on the left holpfuly that helps

what is what3 2/3 - 3/5 as a fraction plz give awnser

Answers

Answer:

55/15-9/15=46/15 or 3 1/15

Step-by-step explanation:

Answer:

46/15  or  3 1/5

Step-by-step explanation:

Hope this helps and have a Great Day :)

(Select all that are correct) which statements describe key features of function g if g(x) = f(x + 2)

a. y-intercept at (0,4)
b. domain of {x|-♾️< x <♾️}
c. horizontal asymptote of y = 0
d. horizontal asymptote of y=2
e. y-intercept at (0,1)​

Answers

Answer:

Y-intercept (0,1) / Domain (-infinite,infinite) / horizontal asymptote y=0

The y-intercept is: (0,1)

The domain is [tex]\{x|-\infty < x < \infty\}[/tex]

The horizontal asymptote is [tex]y = 0[/tex]

The given parameters from the complete question are:

[tex]f(x) = 2^{x-2}[/tex]

[tex]g(x) = f(x + 2)[/tex]

First, we calculate the function of g(x)

[tex]g(x) = f(x + 2)[/tex]

Calculate f(x + 2)

[tex]f(x) = 2^{x-2}[/tex]

[tex]f(x + 2) = 2^{x+2-2}[/tex]

[tex]f(x + 2) = 2^x[/tex]

So:

[tex]g(x) = 2^x[/tex]

Start by calculating the y intercept:

This means, we calculate the g(x) when [tex]x=0[/tex]

[tex]g(x) = 2^x[/tex]

[tex]g(0) = 2^0[/tex]

[tex]g(0) =1[/tex]

The above computation means (a) is incorrect; but (e) is correct.

Next, calculate the domain of g(x)

[tex]g(x) = 2^x[/tex]

Some features in a function that limit the x values are: roots, fractions, etc.

[tex]g(x) = 2^x[/tex] does not have any restricting value of x.

This means the value of x ranges from negative infinity to positive infinity.

Hence, the domain is: [tex](-\infty,\infty)[/tex]

The above computation means (b) is correct

Next, calculate the horizontal asymptote.

To do this, we plot the graph of g(x) --> see attachment

Then we trace a horizontal line from the horizontal part of the curve of g(x) till it gets to the y-axis.

From the attached graph of g(x), the line touches the y-axis at [tex]y = 0[/tex]

So, the horizontal asymptote is: [tex]y = 0[/tex]

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The elevations, in feet, of three citites are marked on the number line shown below. The point 0 on the number line represents sea level. Which statement is true?

Answers

Answer:

cityQ

Step-by-step explanation:

City Q is located at the sea level

The statement that should be true is

City P is above sea level and City Q is below sea level.

What is the number line?

The word "number line" in mathematics refers to a straight line where a number should be positioned at similar intervals or segments along with its length.

Given:

The point 0 on the number line represents sea level.

As, It should be presented in a horizontal style and be infinitely in any direction.

As a result, option c should be the statement that is true. City Q is below sea level, but City P is above it.

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Nico y Manuel llevaron sus taps a la escuela para jugar a la hora de recreo. Nico coloco sus 7 taps en el piso y guardo los demás en una bolsa ¿cuantos taps podría tener Manuel en la bolsa

Answers

Answer:

7 o más

Step-by-step explanation:

lógicamente, si el juego necesitaba 7 taps para jugar y Nico tiene más de 7 taps, entonces Miguel también debería tener 7 o más taps en su bolsa.

Type your solution as an ordered pair.

Answers

Answer and Step-by-step explanation:

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Hi there! This is what the graph should look like: (Look at the picture attached)

We can see that the solution to the equation is (3, -2) because this is where the lines intersect.

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#teamtrees #WAP (Water And Plant)

Lyla is rounding some numbers to the nearest tenth. Select the number that will have an 8 in the tenths place after rounding.
A. 5.74
B. 6.08
C. 7.79
D. 8.86

Answers

Answer:

c

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

if u round 7.79 it will be 8 because 7 is greater than 5

The ratio of boys to girls in a class is 2:3. There are 30 students in the class. How many more girls than boys are there?

Answers

Answer:

there are 18 girls

Step-by-step explanation:

for every 2 boys there are 3 girls

so then you can say 2/5 of the class are boys and 3/5 are girls

and you have to calculate 3/5 of 30 so you have to divide 5 and then multiply by 3 so 30 divided by 5 is 6 the n multiply 6 by 3 and the answer is 18.

Hope this helps

What is the product?

(6) (negative 12)
–82
–72
72
82

Answers

Answer:

-72 is the answer.........

6 times -12 so it’s -72

A dolphin jumps 54 times in a 6 hour period. At this rate, how many jumps would be expected in a 2 hour period?

Answers

answer is 18
u gotta find out how many jumps per hour first so do 54/6= 9
then multiply by 2
9 x 2 = 18
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As you can see I NEED HELP! slope of (-4,13) and (6,-2) 4. What is the mass of N2H4 gas in a 350.0 mL container at 50.0 C, if the pressure of the gas is885.0 torr? choose the correct solution and graph z+96 what was the outcome of the alien and sedition acts An unknown number is not equal to 6.45 but rounds to 6.45 when rounded to the nearest hundredth. Which of the following could be the unknown number?6.4546.4436.4056.045 Select the correct answer.This lyric ode by the ancient Greek writer Pindar was dedicated to the winner of a contest. Which statement best sums up the speaker's feelings?Creatures for a day! What is a man?What is he not? A dream of a shadowIs our mortal being. But when there comes to menA gleam of splendour given of heaven,Then rests on them a light of gloryAnd blessed are their days.A. The speaker feels sadness that men are mortal.B. The speaker feels joy at the winner's glory.C. The speaker regrets that men lack honors.D. The speaker feels afraid of the future. It can be inferred from the chart shown thatA) German immigration rates are twice that if Italians.B) Chinese is decreasingly popular in the United States.C) immigration in the United States has slowed significantlyD) there is significant diversity in language usage in the United States. In a recent year, 0.57 of those registered to vote in the United States voted in an election. Write 0.57 as a percent. 9x - 4 = 5x - 4 + 4x The products of photosynthesis are the...a) Products of cellular respirationb) Reactants of cellular respirationc) Reactants of fermentationd) Products of glycolysis simplify:293(3 1) The sixth commandment states that describe the prime factorization of 180 (-2x) x 8xUrgent!! The prime factorizations of 16 and 24 are shown below. 1 Prime factorization of 16: 2, 2, 2, 2 Prime factorization of 24: 2, 2, 2, 3 Using the prime factorizations, what is the greatest common factor of 16 and 24? o 2o 2'2o 2'2'2o 2'2'2'2'3 PLEASE HELP 30 POINTS AND BRAINLIESTwhich if the following explains the rise of hybrid culture in the spanish empireForced conversion to Christianity Diversity of the residents Official policy of racial intermarriage Effects of epidemic disease give one seggestion to avoid cyber bullying For which inequality is x = 5 a solution ? factor 2x+2y by removing a common factor