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Natalka [10]
3 years ago
6

Find the two numbers whose sum is 29 and whose difference is 15.

Mathematics
1 answer:
yulyashka [42]3 years ago
7 0

Answer:

a = 22

b = 7

Step-by-step explanation:

Let the two numbers be represented as a and b.

a + b = 29

a - b = 15

Using elimination method

Add both equations

2a = 44

Divide both sides by 2 to get a

2a/2 = 44/2

a = 22

Now substitute a = 22 in any of the equations to get b .

Using the first equation, we have

a + b = 29

22 + b = 29

Subtract 22 from both sides of the equation

22 - 22 + b = 29 - 22

b = 7

Therefore the two numbers are 22 and 7

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stich3 [128]
160/4=40 so each side is 40. Divide the perimeter by how many sides you have.
6 0
3 years ago
The length of a rectangle is 6 units and its width is 4 units. What is the approximate length of the diagonal of the rectangle?
ss7ja [257]
The correct answer is:  [D]:  " 7.2 units" .
_______________________________________________________
Explanation:
________________________________________________________
Use the Pythagorean theorem:

a² + b² = c² ;

in which:  "6 units" and "4 units" equal the lengths of the right angle (formed by the rectangle);  and "c" is the length of the diagonal of the rectangle, or the "hypotenuse", of the right triangle formed by the rectangle;  We wish to solve for "c" ;
_______________________________________________

6² + 4² = c² ;  Solve for "c" ;

↔ c² = 6² + 4² ; 

         = (6*6) + (4*4) ;
 
         = 36 + 16 ;

        =  52 ;

    c² = 52 ;

Take the "positive square root" of each side of the equation; to isolate "c" on one side of the equation; and to solve for "c" ; 

  √(c²)  =  √52 ; 

    c = √52 ;  

At this point, we know the 7² = 49 ;  8² = 64 ;  so, the answer is somewhere between "7" and "8" ; yet closer to "7" ;  so among the answer choices given; 

The correct answer is:  [D]:  " 7.2 units" .
_________________________________________
However, let use a calculator:

c = √52 = 7.2111025509279786 ; which rounds to "7.2" ;
   which corresponds to:  
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Answer choice:  [C]:  " 7.2 units" .
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5 0
3 years ago
$87.00 divided by 5 can u divide pls
Illusion [34]
$87.00/5 is $17.4 dollars
6 0
3 years ago
Solve the system using the substituion method<br> -4x+y=8<br> x-3y=9
lions [1.4K]
Hi there!

x - 3y = 9
x = 9 + 3y
 
-4x + y = 8
-4(9+3y) + y = 8
-36 - 12y + y = 8
-36 - 11y = 8
-11y = 44
-y = 4
y = -4

x - 3y = 9
x - 3(-4) = 9
x + 12 = 9
x = 21

So, your answers are y = -4 and x = 21.

Hope this helps!
3 0
3 years ago
Arithmetic Series Algebra 2
gtnhenbr [62]

The 6 terms of the series are

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You could make use of the formula for the sum of the terms, or you could work out the sum from the given expression. It is easier just to list the terms and and them up.

4 0
3 years ago
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