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Minchanka [31]
3 years ago
15

If x ¤ y = (x + y)² - (x - y)² Then √5 ¤ √5 =

Mathematics
1 answer:
Hoochie [10]3 years ago
5 0
x\ \diamond\ y=(x+y)^2-(x-y)^2=x^2+2xy+y^2-(x^2-2xy+y^2)\\\\=x^2+2xy+y^2-x^2+2xy-y^2=4xy\\\\\sqrt5\ \diamond\ \sqrt5=4\cdot\sqrt5\cdot\sqrt5=4\cdot5=20
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Solve the following pair of simultaneous:<br><img src="https://tex.z-dn.net/?f=%205x%20%2B%202y%20%3D%20%20-%202%20%20%20%20%20%
Vladimir [108]

Answer:

x = -2 , y = 4

Step-by-step explanation:

given:

5x + 2y = -2                            <em>*4</em>

4x + 3y = 4                             <em>*5</em>

Solving simultaneously,

    20x + 8y = -8 ....eq 1

(-)  20x +15y = 20  ...eq 2

.............................................

-7y = -28

y = -28 / -7

y = 4

  • if y = 4

using equation 2,

20x +15(4) = 20

20x = -40

x = -2

8 0
2 years ago
Please help!!! I’ll mark you as brainliest!!!!
Daniel [21]

Answer: D $26

Step-by-step explanation:

50-(50x.3)= 35

35-6=29

29-3=26

5 0
2 years ago
Assessment items Which expression shows the result of applying the distributive property to 9(2+5m) ?
Aleksandr-060686 [28]
The distributive property....ur basically multiplying the number outside of the parenthesis by everything in the parenthesis....to get rid of the parenthesis.

9(2 + 5m) = (9 * 2) + (9 * 5m) = 18 + 45m <==
6 0
3 years ago
Which statement BEST explains the relationship between these two facts? NEED HELP QUICK!
gulaghasi [49]

Answer:

Chocolate is now a sweet treat that is very popular in the united states.

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Find the common fraction equivalent to 0.12
jonny [76]
The answer is:  " \frac{4}{33} "  .
______________________________
Given:  0.1212121212..... repeating ;  write that value as a fraction;
______________________________________________________
In other words; we are given:  "0.1212121212..... repeating infinitely" ;  

→ that is to say; "0.12 ...  ;  {the "12" decimal portion repeats infinitely} ; 
_______________________________________________________
→ We write this value, as a fraction, as:  "12/99" ;
__________________________________________
→Explanation:
__________________________________________ 


Note:  "0.99999999...... repeating infinitely;  =  "1" .
_________________________________________
→Since:

Let us say that we have: 

"x = 0.999999 ; repeating infinitely;  

In order words, let us say we have: "x = 0.9.... ;  the "9" decimal repeats infinitely; 
_____________________________________________________
   Then "10x" ;  (that is: "10" multlipled by "x";  or "10*x" or "10x" );  is equal to:

"10" * (0.999999.....)  = 9.99999999...... (the "9" decimal repeats infinitely);

in other words:  10x = 9.99999999....

Divide each side by "10" ;

to get "x = 0.9999999....." ; the decimal "9" repeats indefinitely...." ;

But if you have:  "10x = 10" ;  divide each side of the equation by "10" ; 
   you get: "x = 1" . 
____________________
Also,  if "x = 0.9999...(repeating infinitely); 

then:  10x = 9.99999.
_______________________________________________
           10x  =  9.999999999999999......
       −     x  =  0.999999999999999.......
    _____________________________________
            9x  =  9.00000000000000000000.....

 →  9x = 9 ; 

Divide each side of the equation; to get; 

 9x /9 = 9/ 9 ;  to get:  x = 1 ; and we have: x = 0.9999.... ;  so
  x= 0.99999.... = 1 ; 
__________________________________________________
So, if the numbers "12" is repeating, we divie "12" by "99" ; 
  that is; we divide "12" by "two 9's" ;  since "12" is a "TWO-digit number"; a "two-digit number" is being repeated infinitely.
________________________________________
            So;  0.12121212.....(the "12" is the decimal that repeats infinitely);            
                   
=  12/99 ;  which can be simplified;

Divide each side (both the numerator AND the denominator); by "3" ;
_________________________________________
  " 12/99 "  =  "(12÷3) / (99÷3) = 4/33 " .
_________________________________________
The answer is:  \frac{4}{33}  .
_________________________________________
8 0
3 years ago
Read 2 more answers
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