1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Eddi Din [679]
2 years ago
15

Find the distance between two points: (5,3),(8,5)​

Mathematics
1 answer:
kozerog [31]2 years ago
5 0

Answer:

\displaystyle\boxed{\rm \: Distance= \underline{\underline{\sqrt{13}}}}

<em>OR </em><em>in </em><em>Decimal</em>,

\boxed{\rm \: Distance=\underline{\underline{3.605}}}

Step-by-step explanation:

<u>Given:</u>

Two points, that is (5,3) & (8,5)

<u>To Find:</u>

The Distance of the two given points

<u>Solution:</u>

To Find the distance between two points, we will use the <u>distance</u> <u>formula</u>, i.e. :

\boxed{ \rm \: Distance =  \sqrt{(x_2 - x_1) {}^{2}  + (y_2 - y_1) {}^{2} } }

According to the Question,

\rightarrow \:  \rm \: x_2 = 8

\rightarrow \:  \rm \: x_1 = 5

\rightarrow \:  \rm \: y_2 = 5

\rightarrow \:  \rm \: y_1 = 3

Now Substitute the values on the formula of Distance and then Simplify:

\rm \: Distance= \sqrt{(8 - 5 )^{2}  + (5 - 3) {}^{2} }

<em>[Follow PEMDAS rule while simplifying]</em>

\rm \: Distance= \sqrt{3 {}^{2}  + 2 {}^{2} }

\rm \: Distance= \sqrt{(3 \times 3) + (2 \times 2)}

\rm \:  Distance= \sqrt{9 + 4}

\rm \: Distance= \sqrt{13}

\rm \: Distance= {3.605}

Hence, the distance between the two given points would be \sqrt{13} or 3.605.

\rule{225pt}{2pt}

I hope this helps!

Have a good day! :)

<em>[Desmos Graph solution is attached]</em>

You might be interested in
Help me plzzzzzzzzz!!!!!!!!!!!!!!!!!!
Anvisha [2.4K]

Answer: ( 12 , 9 )

Step-by-step explanation:

The formula for finding the coordinate of points when a line is externally divided in a given ratio is given by :

x = \frac{p x_{2}+q x_{1}}{p+q}

y = \frac{p y_{2}+q y_{1}}{p+q}

From the question

x_{1} = 2

x_{2} = ?

x = 4

y_{1} = -1

y_{2} = ?

y = 1

p = 1

q = 4

substituting the values into the formula ,we have

x = \frac{p x_{2}+q x_{1}}{p+q}

4 = \frac{1(x_{2})+4(2) }{1+4}

4 = \frac{x_{2}+8}{5}

x_{2} + 8 = 20

x_{2} = 12

Also

y = \frac{p y_{2}+q y_{1}}{p+q}

1 = \frac{y_{2}+4(-1)}{5}

y_{2} - 4 = 5

y_{2} = 9

Therefore , the end of the stencil is located at point ( 12 , 9 )

5 0
3 years ago
Help ............. ​
NARA [144]

What kinda of math is this so i can answer..

:)

5 0
3 years ago
A young girl standing on a cliff is throwing stones up into the air so that they land in the ocean below. The height h in meters
SVETLANKA909090 [29]

Answer:

the answer is A

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
X–2 1/2=6 3/4. X=?<br><br> x – 3.23 = 0.77. X=?
Over [174]

Answer:

x= 105/4

x=4

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Which linear equation has no solution?
olga_2 [115]

Answer:

Option A

Step-by-step explanation:

Given:

  • a. 3x-5= 3x + 5
  • b. 3x-5= 3x - 5
  • c. 3x - 5 = 2x+5
  • d. 3x-5 = 2x + 10

To find:

  • Which one of the linear equations have no solution.

Solution:

a)  3x-5= 3x + 5

Add 5 to both sides

3x-5= 3x + 5

3x - 5 + 5 = 3x + 5 + 5

Simplify

(Add the numbers)

3x - 5 + 5 = 3x + 5 + 5

3x = 3x + 5 + 5

(Add the numbers)

3x  = 3x + 5 + 5

3x = 3x + 10

Subtract 3x from both sides

3x = 3x + 10

3x - 3x = 3x + 10 - 3

Simplify

(Combine like terms)

3x -3x = 3x + 10 - 3

0 = 3x + 10 - 3

(Combine like terms)

0 = 3x + 10 - 3

0 = 10

The input is a contradiction: it has no solutions

b)  3x-5= 3x - 5

Since both sides equal, there are infinitely many solutions.

c)  3x - 5 = 2x+5

Add 5 to both sides

3x = 2x + 5 + 5

Simplify  2x + 5 + 5 to 2x + 10

3x = 2x + 10

Subtract 2x from both sides

3x - 2x = 10

Simplify 3x - 2x to x.

x = 10

d) 3x-5 = 2x + 10

Add 5 to both sides

3x = 2x + 10 + 5

Simplify 2x + 10 + 5 to 2x + 15

3x = 2x + 15

Subtract 2x from both sides

3x - 2x = 15

Simplify 3x -2x to x.

x = 15

--------------------------------------------

Answer:

As you can see all c and d both have solutions, eliminating them as options. Option B has infinite solutions leaving Option A which has no solutions.

Therefore, <u><em>Option A</em></u> is the linear equation that has no solution.

3 0
2 years ago
Read 2 more answers
Other questions:
  •                       
    13·1 answer
  • A rectangular room is four times as long as it is wide, and its perimeter is 70 meters. Find the width of the room. 
    5·2 answers
  • Which shows the decimals 34.8, 36.43, and 36.29 in order from greatest to least?
    12·1 answer
  • What is the volume of the rectangular prism shown ?
    11·1 answer
  • ?
    15·1 answer
  • Gavin doubles it and gets an answer of 20.6. What was the original number?
    14·1 answer
  • How do i respond to my brother....he sent this to me<br> T^T
    6·2 answers
  • C.
    10·2 answers
  • Please help quicklyyy!!!
    12·1 answer
  • On a farm there was a cow. And on the farm there were 2 sheep. There were also 3 chickens. What is the total mass of the 1 cow,
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!