Find the distance between R (3, 4) and T (7, 2).

Answers

Answer 1

Answer:

[tex]\sqrt{20}[/tex] or 4.47

Step-by-step explanation:

To find the distance between two points on a plane, you can use the distance formula: [tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]

Plug your values in to get the distance between the two points.

[tex]d=\sqrt{(y^{2}-y^{1})^2 + (x^{2}-x^{1})^2 }[/tex]

[tex]d=\sqrt{(2-4)^2 + (7-3)^2 }[/tex]

[tex]d=\sqrt{(-2)^2 + (4)^2 }[/tex]

[tex]d=\sqrt{4 + 16 }[/tex]

[tex]d=\sqrt{20}[/tex] or 4.47


Related Questions

Help I was absent when she taught this

Answers

Answer:

b

Step-by-step explanation:

-3x + y = 10

solve the equation for Y

Answers

Answer:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

-3*x+y-(10)=0

Pull out like factors :

-3x + y - 10 = -1 • (3x - y + 10)

All you need to do is add 3x to both sides. Then, on the left, you are just left with y.

y = 3x+ 10

Solve for h in the mathematical formula A=1/2(a+b)h

Answers

Step-by-step explanation:

Since we arent given enough information to SOLVE for h, I will get as close as I can by rearranging the equation for h

Convert the fraction to a decimal for simplicity

A = 0.5(a + b)h

Divide both sides of the equals by 0.5

A/0.5 = (a + b)h

We can convert A/0.5 into its reciprocal

2 A = (a + b)h

Divide both sides of the equation by the bracketed (a + b)

(2 A)  /  (a + b) = h

Rewritten

h =  [tex]\frac{2A}{(a + b)}[/tex]

A line passes through the point (6,-4) and has a slope of - 4/3.
Write an equation in point-slope form for this line.

Answers

Answer:

Step-by-step explanation:

In point-slope form,

y - y1 = m(x - x1)

m = -4/3

x1 = 6

y1 = -3

y + 3 = (-4/3)(x - 6)

Evaluate the expression ab2 + 2ab + a2 for a = 6 and b = 3.

a) 128
b) 126
c) 130
c) 124

Answers

Answer:

I believe there is an error with the problem

Step-by-step explanation:

3*6*2 + 2*6*3 + 6*2 = 36+36+12 = 84

The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126 so option (b) will be correct.

What is an expression?

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression

ab² + 2ab + a²

Now,

a = 6 and b= 3

So,

⇒  6(3)² + 2(6)(3) + 6²

⇒  36 + 54 + 36

126

Hence "The answer of the expression ab² + 2ab + a² for a = 6 and b = 3 will be 126".

To learn more about expression,

https://brainly.com/question/14083225

#SPJ5

Evalute: -|-x+2| for x = -3

Answers

-|3+2|

the answer is -5

Explain the three different ways of writing a ratio and provide an example

Answers

Answer: The most common way to write a ratio is as a fraction, 3/6. We could also write it using the word "to," as "3 to 6."

Step-by-step explanation:

you can write ratios as 3/6 , 3 to 6, or 3:6

I'll give brainliest please help
graphing

both of them please​

Answers

Step-by-step explanation:

It's easier to graph when both equations are in its slope-intercept form, y = mx + b.

System 1: -3x -15y = 15-2x -10y = 10

-2x -10y = 10

-2x + 2x - 10y = 2x + 10

-10y = 2x + 10

-10y/-10 = (2x + 10)/-10

y = -1/5x -1  [slope: -1/5, y-intercept (0, -1)]

-3x -15y = 15

-3x + 3x - 15y = 15

-15y = 3x + 15

-15y/-15 = (3x + 15)/-15

y = -1/5x - 1  [slope: -1/5,  y-intercept (0, -1)]

To graph this system, plot the y-intercept, (0, -1) on the graph, then use the slope, m = -1/5 (down 1 unit, run 5 units to the right). Repeat the process until you have enough points to connect and create a line.  

Because the given systems of linear equations are equivalent, their lines coincide on top of each other. This means that they have infinitely many points of intersection. Hence, they have infinite solutions.

System 2:  8x + 6y = 244x + 3y = 9

8x + 6y = 24

6y = -8x + 24

6y/6 = (-8x + 24)/6

y = -4/3x + 4 [slope: -4/3, y-intercept (0, 4)]

4x + 3y = 9

3y = -4x + 9

3y/3 = (-4x + 9)/3

y = -4/3x + 3 [slope: -4/3, y-intercept (0, 3)]

Use the same techniques as described in the first part. Plot the y-intercepts on the graph, then use the slope of each equation to plot other points.

These lines are parallel, which implies that they will never intersect each other. Hence, there's no solution to this system.  

Attached are the screenshots of the graphed systems of linear equations.

The number of hours Darla baby - sat her sister each week for the last 12 weeks is shown below

Answers

Answer: the box and whisker plot looks like this, the pink line starts between 8 and 10, the box starts between 10 and 12, the middle is between 14 and 16, the right side of the box is between 18 and 20, and lastly the pink line on the right ends at 22.

Step-by-step explanation: I did the test

Clayton wants to be a musician. After school one afternoon, he spends half his time practicing his drums and 3/4 of the remaining time on homework and dinner. He spends the remaining 3/4hour talking with and texting his friends. How long did he practice the drums?

Answers

Answer:

x - x/2 - (x/2)(3/4) - 3/4 = 0

x = 6

so, he spent 3 hours on the drums.

Help me please express the simplest radical form

Answers

Answer:

The answer is 8√2

Hope this helps

If you can answer this right i'll mark you brainiest

Answers

Answer:Think of the equation as an equation for a line

y=mx+b

where in this case

C= 5 /9  (F−32)

or

C= 5 /9 F - 5/9 x 32

You can see the slope of the graph is  5 /9

, which means that for an increase of 1 degree Fahrenheit, the increase is  

5 /9  of 1 degree Celsius.

C= 5 /9 (F)

C= 5/9(1)

C=5/9

Therefore, statement I is true. This is the equivalent to saying that an increase of 1 degree Celsius is equal to an increase of  

9/5 degrees Fahrenheit.

C= 5/ 9 (F)

1= 5 /9 (F)

(F)= 9 /5

Since  

9/5 = 1.8, statement II is true.

The only answer that has both statement I and statement II as true is D, but if you have time and want to be absolutely thorough, you can also check to see if statement III (an increase of 5/9 degree Fahrenheit is equal to a temperature increase of 1 degree Celsius) is true:

C= 5 /9 (F)

C= 5 /9 x 5/9

C=25/81

(which is≠1)

An increase of  5/9

degree Fahrenheit leads to an increase of  

25/81.

, not 1 degree, Celsius, and so Statement III is not true.

The final answer is D.

(6-9d4)-(3d4+4) polynomials

Answers

Answer:

2(1 - 6d⁴)

General Formulas and Concepts:

Pre-Algebra

Distributive Property

Algebra I

Terms/CoefficientsFactoring

Step-by-step explanation:

Step 1: Define

Identify

(6 - 9d⁴) - (3d⁴ + 4)

Step 2: Simplify

(Parenthesis) Distribute negative:                                                                   6 - 9d⁴ - 3d⁴ - 4Combine like terms:                                                                                         2 - 12d⁴Factor:                                                                                                               2(1 - 6d⁴)

Fishing Hook G is let down 2 times its present depth. Where is Fishing Hook G?

Answers

Answer:

[tex]2g[/tex]

Step-by-step explanation:

In other words, this problem is asking where Fishing Hook G is after it's 2 times deeper.  Let g = its previous depth. We do 2 * g = 2g.

help me figure this out.

Answers

Omg no lol a la ciudad del estado y ha sido el país en que el estado no cause u otro de la ciudad en el estado del estado y a las que no se encuentra a un país en la ciudad del país en la ciudad en la que ha sido la ciudad de los

Answer:

30; -5 is 5 units away from 0 and V is 25 units away from 0, and 5 + 25 = 30.

Step-by-step explanation:

To find the distance between point T, which has a value of -5, and V, which has a value of 25, we should find the absolute value of each number and then add those numbers together.

So, the absolute value of -5 is 5 and the absolute value of 25 is 25. 25 + 5 = 30, and this is the length of TV.

If you have any further questions or need clarification on anything, let me know!

Last​ winter, the ratio of days with snow to days with no snow was 1.12. Write this ratio as a fraction in simplest form? PLS HELP

Answers

9514 1404 393

Answer:

  28/25

Step-by-step explanation:

To make the number into a fraction, multiply and divide by 100:

  1.12 × 100/100 = 112/100

Recognize that numerator and denominator have a factor of 4 in common:

  112/100 = 28×4/(25×4) = 28/25

) What is 35% of 10?
0.35(10)

Answers

Answer:

3.5

Step-by-step explanation:

35% of 10 is the same thing as 0.35(10)

0.35 x 10 = 3 + (0.05 x 10) = 3 + 0.5 = 3.5

-Chetan K

Please help me with this problem.

Answers

Answer:

yes

no

yes

no

Step-by-step explanation:

You can tell it's negation when the word "not" is used.

Use the 1st derivative test to find the intervals where the function is increasing or decreasing. Please show your work so I can get a better understanding on how you achieved the solution. Thank you.

Answers

As the name of the test suggests, you have to compute the derivative:

[tex]f(x) = \dfrac1{2x+3} \implies f'(x) = -\dfrac2{(2x+3)^2}[/tex]

Find where, if at all, the derivative vanishes or is undefined - these are the critical points of f(x).

In this case, the derivative is never 0 since the numerator is constant and the denominator is non-negative. You also see that f '(x) is negative over its entire domain.

The denominator goes to 0 when 2x + 3 = 0, or x = -3/2.

Now split up the domain of f(x) into intervals with endpoints at the critical points. Here, we consider the two intervals, (-∞, -3/2) and (-3/2, ∞).

Take any point from either interval and check the sign of f '(x) at that point. Any points will do, but you should strive to pick one that makes calculations simple.

• From (-∞, -3/2), take x = -2; then f ' (-2) = -2 < 0. Since f '(x) is negative over this interval, f(x) is decreasing over it.

• From (-3/2, ∞), take x = 0; then f ' (0) = -2/9 < 0. Again, this means f(x) is decreasing over this interval.

So, the first derivative test tells us that f(x) = 1/(2x + 3) is decreasing over the intervals (-∞, -3/2) and (-3/2, ∞); in other words, over its entire domain.

For the second function, we have

[tex]f(x) = \dfrac{x+1}{x+3} \implies f'(x) = \dfrac{(x+3)-(x+1)}{(x+3)^2} = \dfrac2{(x+3)^2}[/tex]

Again, there's only one critical point, this time at x = -3 where the derivative is undefined.

• From the interval (-∞, -3), take x = -4; then f ' (-4) = 2 > 0, so f(x) is increasing.

• From the interval (-3, ∞), take x = 0; then f ' (0) = 2/9 > 0, so f(x) is increasing.

solve pls brainliest

Answers

Here it should be this

a) 300

b) 1732

Which graph and equation shows a proportional relationship between and y? NEED HELP ASAP!!!

Answers

Answer:

y = 0.45x

Step-by-step explanation:

proportional relationships must pass through the point 0,0

both the x and y intercepts must equal 0

y= 0.45x or B because the line goes through the origin

Jacob went bowling over the weekend. On Saturday, he bowled at Bowlero, where he
rented shoes for $3.25 and paid $3.75 for each game. On Sunday, he bowled at the
Cowtown Bowling Center, where he rented shoes for $2.50 and paid $4.00 per game.
If he spent the same amount each day, how many games did he bowl? (Let the
number of games played = 2.)

Answers

Answer:

3 games played every Day

Step-by-step explanation:

So for Cowtown Bowling Center the cost of shoes is $2.50, and $4.00 per game

Then the Bowler is $3.25 for shoes and 3.75 per game

So to get the answer your gonna wanna set up the equation like

Saterday =$3.25+$3.75(x), then for

Sunday = $2.50+$4.00(x)

The X is how many games so if you plug in the same amount of game in both

Example

Saterday=$3.25+$3.75(2)=$10.75

Sunday = $2.50+$4.00(2)=$10.50

So if you do 3 then the totals will come out to be the same

Answer

Saterday=$3.25+$3.75(3)=$14.50

Sunday = $2.50+$4.00(3)=$14.50

Whats the answer? ( BRANLIEST )

Answers

Answer:

14/2 i think

Step-by-step explanation:

11/12-1/6q+5/6q-1/311/12-1/3+(-1/6+5/6)q11-4/12+4/6q7/12+23q

What is the equation of a line parallel to y= -1/2x+6 that passes through (-4, 1)?

Answers

Parallel lines have the same slope. Therefore, the other line must also have a slope of -1/2.

Given the value of slope (m) = -1/2, and the other point, (-4, 1), we can substitute its values into the slope-intercept form, y = mx + b to solve for the y-intercept of the other line.


y = mx + b
1 = -1/2(-4) + b
1 = 2 + b

Subtract 2 from both sides to solve for b:
1 -2 = 2 - 2 + b

-1 = b

Therefore, the y-intercept of the other line is b = -1.

The equation of the line parallel to y = -1/2x + 6 is:

y = -1/2x - 1

Attached is a screenshot of the graph of both lines to show that y = -1/2x - 1 is parallel to y = -1/2x + 6.


Please mark my answers as the Brainliest if you find this helpful :).

Find the equation of the line through the points (−2,5) and (4,9).

Enter your answer in standard form Ax+By=C, where A is a positive integer, and B and C are integers.

Answers

9514 1404 393

Answer:

  2x -3y = -19

Step-by-step explanation:

Taking the differences between the given points, we have ...

  (Δx, Δy) = (4, 9) -(-2, 5) = (6, 4)

The equation of the line can be written ...

  Δy·x -Δx·y = Δy·(x1) -Δx·(y1) . . . . . for point (x1, y1) on the line

  4x -6y = 4(-2) -6(5) = -38

Dividing by 2 gives the standard form equation ...

  2x -3y = -19

_____

Additional comment

The original equation 4x-6y=-38 satisfies the requirements of this problem. However, "standard form" requires the numbers in the equation be mutually prime (in addition to the problem requirements). That is, they must have no common factors. Hence, we must remove the common factor of 2 in order to have true "standard form."

 Please help
Explain the significant of the arithmetic
modulo in solving problems then support your answer with examples.

Answers

Answer:

A familiar use of modular arithmetic is in the 12-hour clock, in which the day is divided into two 12-hour periods. If the time is 7:00 now, then 8 hours later it will be 3:00. Simple addition would result in 7 + 8 = 15, but clocks "wrap around" every 12 hours.

Step-by-step explanation:

hope It's can help

Please help Please help Please help Please help Please help Please help

Answers

Answer:

the answer is b

Step-by-step explanation:

A gallon of apple juice is
$7. A pack of eight 4.23
oz box apple juice is
$2.39. Which is a better
deal?

Answers

$2.39 i believe i haven’t done math like this in years but yeah if my multiplication is correct it’s that

A store owner had nine employees and bought nine hundred fifty-one uniforms for them. If he wanted to give each employee the same number of uniforms, how many more should he buy so he doesn’t have any extra?​

Answers

Answer:

105

Step-by-step explanation:

Divide 951 by 9

Patricia visited a friend who lives 120 miles away. On her way there she averaged 60 mph. On the way back, she only averaged 40 mph. What was the total amount of time she spent driving?

Answers

Answer:

5 hours

Step-by-step explanation:

120/60= 2

120/40= 3

3+2=5

Other Questions
AAAAAAAAAAAAAAAAAAAAAAA wdjewkhfewhjfuhegkufygqe ANSWER Consider the following method, which is intended to return true if at least one of the three strings s1, s2, or s3 contains the substring "art".; Otherwise, the method should return false.public static boolean containsArt(String s1, String s2, String s3){String all = s1 + s2 + s3;return (all.indexOf("art") != -1);}Which of the following method calls demonstrates that the method does not work as intended?Select one:a. containsArt ("rattrap", "similar", "today")b. containsArt ("start", "article", "Bart")c. containsArt ("harm", "chortle", "crowbar")d. containsArt ("matriculate", "carat", "arbitrary")e. containsArt ("darkroom", "cartoon", "articulate")a. containsArt ("rattrap", "similar", "today")This is because the "art" is found as a combination of "similar" and "today". That is not as intended based upo where are the youngest rocks in a structural basin found? Could someone maybe help? who is currently the counselor of Germany Is 4.006 greater than 1.305? You are the food specialist and you are working on the newsletter's next edition. Read the reply to Scott's enquiry. Then write your own by responding to one of the other texts from 3 or from your friends'. i need help pls7a/9bc 21a/12b Which of the following atoms will have themost similar properties to the atom shownbelow? Write the augmented matrix for the following system of equations.- 3x + 2y = 75 2x = 7y I WILL GIVE BRAILIESTMatch the activity with the skill-related component...There will be 1 left over-power, speed, agility, coordination, balance, reaction time-running, dancing, walking, swimming, longboarding, skating, biking A 1.11 kg ball sits at rest on a table 1.72 m above the ground. What is the potential energy of the ball? What is the density of the football in g/cm PLEASE ANSWER QUICKLY AND CORRECTLY I APPRECIATE IT SO MUCH !!! :)))Is (-1,4) a solution to the graph of y= 3x + 7?EXPLAIN WHY OR WHY NOT What is the slope of the line plotted below?O A. -1O B. 2oC. 2.O D. 1 1. They told me that you were the best architect in this city. how can a cross between two closely related organisms result in genetic problems? Jane's salary is increased by 2% to 23358.How much was her salary before the rise? 4. To become a citizen of the United States, you must A. have lived in the United States for at least six months. B. file a request form in a federal court. C. be at least 21 years old. D. pass an English and government test. what are the only two states without a state song?