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PSYCHO15rus [73]
3 years ago
12

I need help its not 4236

Mathematics
1 answer:
Oduvanchick [21]3 years ago
7 0

Answer: 4236

Step-by-step explanation: I used a calculator. If it's wrong, tell your teacher/instructor.

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What is the distance between the following coordinates? Show work.
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Answer:

\huge{ \boxed{ \bold{ \tt{2 \sqrt{26}}}  \:  \: \text{units} } }

<h3>♁ Question :</h3>
  • Find the distance between ( 5 , -6 ) and ( 3 ,4 ).

<h3>♁ Step by step explanation:</h3>

Let the points be A and B. Now,

  • Let, A ( 5 , -6 ) ⇢ ( x₁ , y₁ )
  • Let, B ( 3 , 4 ) ⇢ ( x₂ , y₂ )

Use the distance formula to determine the distance between A ( 5 , -6 ) and B ( 3 , 4 ).

\boxed{ \underline{ \sf{distance =  \sqrt{ {(x2 - x1)}^{2}  +  {(y2 - y1)}^{2} } }}}

Substitute the actual value of the points into the distance formula and then simplify.

\dashrightarrow{ \sf{ \sqrt{ {(3 - 5)}^{2} +  {(4 - ( - 6))}^{2}  } }}

Remember : The positive and negative integer are always subtracted but posses the sign of the bigger integer.

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(4 - ( - 6))}^{2} } }}

Remember : ( - ) × ( - ) = ( + )

\dashrightarrow{ \sf{ \sqrt{ {( - 2)}^{2} +  {(4 + 6)}^{2}  } }}

Add the numbers : 4 and 6

\longrightarrow{ \sf{ \sqrt{ {( - 2)}^{2}  +  {(10)}^{2} } }}

Evaluate the power

\longrightarrow{ \sf{ \sqrt{4 + 100}}}

Add the numbers : 4 and 100

\dashrightarrow{ \sf{ \sqrt{104}}}

\dashrightarrow{ \boxed{ \sf{2 \sqrt{26} }}} units

Therefore , The distance between ( 5 , -6 ) and ( 3 , 4 ) is \sf{2 \sqrt{26}} units .

And we're done!

Hope I helped!

Have a wonderful time ! シ

~TheAnimeGirl

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3 years ago
Five times the difference of a number and two is seven more than that number
prisoha [69]
Answer: The number is: 4 ¼ ; or, write as 4.25 .
<span>_____________________________________________
</span>Explanation:
_______________
We set up the problem as:
_____________________________

5(x − 2) = 7+ x  ;  Solve for "x" (our "unknown number"; which is the answer).
____________________________________________________
Using the "distributive property of multiplication" :
____________________________________________________
a*(b + c) = ab + ac ; AND:

a* (b − c) = ab − ac ; 
_____________________________________________________
Let us take the "left-hand side" of our equation and expand it:
_______________________________________
5(x − 2) = (5*x) − (5*2) = 5x − 10 ;
_________________________________________
and rewrite the equation; substitute our "expanded value" for the "left-hand side";
________________________________
→ 5(x − 2) = 7+ x ;  ↔ 5x − 10 = 7+ x ;
____________________________________
Now, subtract "x" from EACH SIDE of the equation; & add "10" to EACH SIDE of the equation;
________________________________________________
 → 5x − 10 − x + 10 = 7+ x − x + 10 ; 
 _______________________________________________
 → to get:  4x = 17 ;  
________________________________________________
  → Now, divide EACH side of the equation by "4"; to isolate "x" on one side of the equation; and to solve for "x" (our answer);
________________________________________
 → 4x / 4 = 17 / 4; 
__________________________
 → x = 17/4  = 17 ÷ 4 = 4 ¼ ; or, write as 4.25 .
_________________________________________
→ Answer: The number is: 4 ¼ ; or, write as 4.25 .
_____________________________________________
→Let us check our answer: 
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"Five times the difference of a number and 2"  ;
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 → 5* (x − 2) = 5 * (4.25 − 2) = 5 * (2.25) = 11.25 ;

→ Is "11.25" ,  SEVEN MORE THAN 4.25??
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  → 11.25  −  4.25 =?? 7 ???  Yes!
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