Find the distance between the two points and simplest rational form (3,-4) (6,-7))

Answers

Answer 1

Answer:

[tex]D = 3\sqrt{2}[/tex]

Step-by-step explanation:

Given

[tex](x_1,y_1) = (3,-4)[/tex]

[tex](x_2,y_2) = (6,-7)[/tex]

Required

Determine the distance between the two points

Distance (D) is calculated as:

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

Substitute values for x's and y's

[tex]D = \sqrt{(6 - 3)^2 + (-7 - (-4))^2}[/tex]

[tex]D = \sqrt{(6 - 3)^2 + (-7 +4)^2}[/tex]

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

[tex]D = \sqrt{9+9}[/tex]

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

Express as 9 * 2

[tex]D = \sqrt{9*2}[/tex]

Split:

[tex]D = \sqrt{9}*\sqrt{2}[/tex]

[tex]D = 3*\sqrt{2}[/tex]

[tex]D = 3\sqrt{2}[/tex]


Related Questions

Solve this problem

........... ​

Answers

Answer:

40.5

Step-by-step explanation:

[tex]\frac{2^3*3^4*4}{2*32} \\\\Firstly\ we\ have\ to \ expand\ the\ terms\ as\ factors:\\\\=\frac{(2*2*2)*(3*3*3*3)*(2*2)}{(2)*(2*2*2*2*2)`}\\\\We\ cancel \ terms\ that \ are\ common\ to \ both \ numerator\ and\ denominator\ to\ get:\\\\=\frac{3*3*3*3}{2}\\\\ =\frac{81}{2} \\\\We\ simplify\ the\ terms\ to \ its\ lowest\ form:\\\\=40.5[/tex]

Therefore the answer to the problem = 40.5

-[tex]-8\9 + 1/5+ -8/15

Answers

Answer:

[tex]-\frac{11}{9}[/tex] , OR [tex]-1\frac{2}{9}[/tex], OR -1.2

Step-by-step explanation:

[tex]-\frac{8}{9}+\frac{1}{5}+(-\frac{8}{15})[/tex]      When there is a (+) in front of an expression in parentheses, the expression remains the same

[tex]-\frac{8}{9}+\frac{1}{5}-\frac{8}{15}[/tex]  Calculate the sum or difference

[tex]-\frac{11}{9}[/tex]

What is the constant of proportionality for the following situation?

A student reads 65 pages per hour.

Answers

Answer:

for every 1 hour he reads 65 pages

Step-by-step explanation:

make a graph

65,1

and you got up from there

rise over run

ok

What is the final price of a $50 pair of headphones with sales tax of 5%.

Answers

Answer:

$52.50

Step-by-step explanation:

$50+5%= $52.50

Hope this helps


Help!!! Worth 50 points!

Answers

Answer:

Step-by-step explanation:

Hey I can't read what's in the picture it's blurry

Answer:

According to the words used by the poet, they made the reader visualize a little village with a group of hardworking men. I know this because of the little details the poet used, like ‘washing their red hands’, or ‘easing their stiff limbs’, meaning that they are tired for an exhausting day of work. To sum it up, the poet gave the effect of a hard working, nostalgic effect.

Step-by-step explanation:

I need the simplified expression for this please ​

Answers

Answer:

16x+5

Step-by-step explanation:

Answer:

[tex]\huge\boxed{\sf 16x+5}[/tex]

Step-by-step explanation:

[tex]\sf 5(2x-1)+2(3x+5)\\\\Expanding \ Parenthesis\\\\= 10 x -5+6x+10\\\\Combining \ like \ terms\\\\= 10x+6x-5+10\\\\=16x + 5\\\\\rule[225]{225}{2}[/tex]

Hope this helped!

~AH1807

Read both, please.

4. Tickets to a play cost $4 in advance and $5 at the door. The theater club president wants to raise at least $400 from ticket sales. Write an inequality for the number of tickets the theater club needs to sell.

5. Using the information from problem 4, if the club sells 40 tickets in advance, what is the least number the club needs to sell at the door to reach the president's goal?

Answers

Answer:

8

Step-by-step explanation:

40 + 5 (at the door)=45

(president's goal) 400 divided by 45= approximately 8

Ugh Lets discuss that when someone posts a PlEaSe HeLp me I have been trying all nIgHt a million people go to that question but when I ask %) points and brainliest no one answers it.

Answers

Answer:

Huh?

Step-by-step explanation:

Answer:

I been trying to get someone to help answer 2 of my English questions and 1 spanish question for like 3 weeks and no one wants to help. But they want my help. Like what's up with that.

Who can help me out with this question

Answers

Answer:

i think it is d) neither

Step-by-step explanation:

......

Enter a formula using k to connect the two variables. t is proportional to x .

Answers

Answer:

x:y I think this answer is correct

Step-by-step explanation:

Given the following roots identify additional roots 10 and √3

Answers

Given:

Two roots of a function are 10 and [tex]\sqrt{3}[/tex].

To find:

The additional roots.

Solution:

According to irrational root theorem, if [tex]\sqrt{b}[/tex] is a root of a function, then [tex]-\sqrt{b}[/tex] is also a root of than function.

Two roots of a function are 10 and [tex]\sqrt{3}[/tex].

Using irrational root theorem, we can say that [tex]-\sqrt{3}[/tex] is also a root of that function.

Therefore, the additional root is [tex]-\sqrt{3}[/tex].

Solve.

−14y=16

64

4

​−4


​−64

Answers

Answer:

Step-by-step explanation:

-14y = 16

-14y = 16

________

-14       -14

0.03is 10 times as much as

Answers

Answer:

0.03 is 10 times as much as 0.003

Step-by-step explanation:

its the answer

In ASTU, mZS = (6x – 15)°, mZT = (2x − 2)°, and
mZU = (4x – 7)º. What is the value of x?

Answers

Answer:

x = 17

Step-by-step explanation:

all three expressions should be added together and set equal to 180 degrees

6x - 15 + 2x - 2 + 4x - 7 = 180

now combine like terms

12x - 24 = 180

add 24

12x = 204

x = 204/12

x = 17

simplfy the expression and combine like terms 4 (x - 2) + 2 (x + 1)

Answers

Answer:

6x-6

Step-by-step explanation:

First you use the order of operations and multiply 4(x)+4(-2)=4x-8 and then 2(x)+2(1)=2x+2. Then you add it all together, 4x+2x+2-8=6x-6.

(hope this helps!)

You’re taking an exam in math, and you spend 5 minutes for every 2 questions you answer on the test.(Plz answer! I’m failing and I need to get this correct!)

Answers

Given:

Time spend on every 2 questions = 5 minutes.

To find:

The missing values for the given table.

Solution:

Let x be the number of questions and y be the number of minutes.

We have,

Time spend on every 2 questions = 5 minutes

Time spend on 1 question = [tex]\dfrac{5}{2}=2.5[/tex] minutes

Time spend on x questions = [tex]2.5x[/tex] minutes

Now,

[tex]y=2.5x[/tex]

For x=0,

[tex]y=2.5(0)=0[/tex]

For x=1,

[tex]y=2.5(1)=2.5[/tex]

For x=2,

[tex]y=2.5(2)=5[/tex]

For x=3,

[tex]y=2.5(3)=7.5[/tex]

For x=4,

[tex]y=2.5(4)=10[/tex]

Therefore, the required table is

Questions        :           0                1                2               3                 4

Time (minutes) :           0             2.5              5              7.5              10

Janet needed 2.7 meters of thread to finish a pillow she was
making. If she has 4 times as much thread as she needs,
what is the length of the thread she has?

Answers

the answer is 10.8 meters of thread

i would like to know what kind of algebra that i was ?

Answers

Answer:

algebra  1

Step-by-step explanation:

Answer:

basic algebra

This chapter contains elementary algebra tutorials on the following topics:

1. Adding and Subtracting Algebraic Expressions, shows you how to do problems like: Simplify: −2[−3(x − 2y) + 4y].

2. Multiplication of algebra expressions, has examples like:

Expand (2x + 3)(x2 − x − 5).

3. Division of algebraic expressions, for example: (12a2b) ÷ (3ab2)

4. Solving Equations, like this one: 5 − (x + 2) = 5x.

5. Formulas and Literal Equations, which shows how to solve an equation for a particular variable.

6. Applied Verbal Problems shows why we are doing all this.

Step-by-step explanation:

HAHAHAHAHAHA LOL XD

Given that points A, B, and C are the midpoints of their respective sides, which of the following is true about the figure?
Question 2 options:

A)



B)

ΔBCZ ≅ ΔYAB

C)



D)

ΔZYX ≅ ΔABC

Answers

Answer:

zx ≅ ab

Step-by-step explanation:

took the test

Round 4213 to 3.sf, 2,sf and 1.sf​

Answers

Answer:

3sf-0.421, 2sf- 42, 1sf-0004

Answer:

4210 4200 4000

Step-by-step explanation:

your welcome :)

The equation y=39/4x describes the number of miles y that an airplane travels in x minutes. What is the constant speed of the airplane in miles per​ minute? How many miles does the airplane travel in ​hours?

Answers

Answer:

The plane goes 9.75 Miles/Minute

The plane goes 585 Miles/Hour

Dogs or cats which one is better???

Answers

Answer:

dogs

Step-by-step explanation:

they are more freindly

Answer:

dogs

Step-by-step explanation:

i just had to take a test and one of the questions was to write an essay about dogs or cats being better so i searched it up and it said  dogs

simplify 0.12×0.04÷ 0.0024 giving the answer in standard forrm​

Answers

Answer:

2

Step-by-step explanation:

(0.12)(0.04)

0.0024

=2

17÷338
what is the remainder

Answers

Answer:

Step-by-step explanation:

= 19 R 15

= 19 15/17

338 divided by 17 equals

19 with a remainder of 15

Solution:

   0 1 9

1 7 {3 3 8

 − {0    

   3 3  

 − 1 7  

   1 6 8

 − 1 5 3

     1 5

⊂_ヽ

 \\ _

    \( •_•) F

   < ⌒ヽ A

  /   へ\ B

  /  / \\ U

  レ ノ   ヽ_つ L

 / / O

 / /| U

 ( (ヽ S

 | |、\

 | 丿 \ ⌒)

 | |  ) /

`ノ )  Lノ

19 with a remainder of 15

what is the triangles congruence theorem could you use to prove the triangle ADE is congruent to Triangle CDE

A) side angle side triangle congruence
B) angle side angle triangle congruence
C) side side side triangle congruence
D) side side angle triangle congruences ​

Answers

Answer:

B) angle side angle triangle congruence

Step-by-step explanation:

In the diagram given, the two angles, <A and <E, and the included side, AE, are congruent to the corresponding two angles, <C and <E, and corresponding included side, CE.

Therefore, based on the ASA Congruence Theorem, we can conclude that both triangles are congruent to each other.

what is the volume of this rectangular prism 7/5cm 5cm 7/2cm? plz help asap ​

Answers

Answer:

24.5 cm³

Step-by-step explanation:

Volume of rectangular prism is:

V = lwhV = 7/5 × 5 × 7/2 = 49/2 =24.5 cm³

Answer:

The volume of this rectangular prism with dimensions 7/5cm, 5cm and 7/2cm.

Volume=length× breadth× height

V=7/5cm×5cm×7/2cm= 49/2cm³= 24.5cm³

24.5cm³ is the right answer.

find the value of p in the figure​

Answers

Answer:

Im pretty sure the answer is maybe 90 degrees

Simplify by combining Like Terms: 3x + 6 + 8x2 - 2x + 3x2

Answers

x + 6 + 16 + 6
answer: x + 28

4. If f(x) = 3x + 2, find f(4)?

Answers

Answer:

3(4)+2= 14

Step-by-step explanation:

Answer:14

Step-by-step explanation:

You plug in the value of x=4, into the function. Giving you f(4)=3(4)+2

What is the estimated probability that at least two of the puppies will be
female?
O A. 5/10 = 50%
O B . 8/10 = 80%
O C. 3/10 = 30%
O'D. 7/10 = 70%​

Answers

Given:

The results of the simulation.

Number of puppies = 4

To find:

The estimated probability that at least two of the puppies will be female.

Solution:

Let heads (H) = Female puppy.

Let tails (T) = Male puppy.

The results of the simulation are HHHH, TTTH, TTHH, HHTT, THTH, HTTH, HHHT, HHTT, HTHH, THTT.

Total outcomes = 10

The results having 2 or more H are HHHH, TTHH, HHTT, THTH, HTTH, HHHT, HHTT, HTHH.

Favorable outcomes = 8

Now,

[tex]\text{Probability}=\dfrac{\text{Favorable outcomes}}{\text{Total outcomes}}[/tex]

[tex]\text{Probability}=\dfrac{8}{10}[/tex]

Probability in % is

[tex]\text{Probability}\%=\dfrac{8}{10}\times 100[/tex]

[tex]\text{Probability}\%=80\%[/tex]

The estimated probability that at least two of the puppies will be female is [tex]\dfrac{8}{10}=80\%.[/tex]

Therefore, the correct option is B.

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