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QveST [7]
3 years ago
7

What is the simplified form of this expression?

Mathematics
1 answer:
loris [4]3 years ago
8 0
\bf \cfrac{6x+12}{3x-6}\implies \cfrac{6(x+2)}{3(x-2)}\implies \cfrac{6}{3}\cdot \cfrac{(x+2)}{(x-2)}\implies \cfrac{2}{1}\cdot \cfrac{(x+2)}{(x-2)}\\\\\\ \cfrac{2(x+2)}{(x-2)}
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Choose a system of equations with the same solution as the following system:
Lina20 [59]

Answer:

Option A.

Step-by-step explanation:

We are given 6x+2y =-6 ......(1) and 3x-4y=-18 .....(2)

Solving equations (1) and (2) we get

12x+3x =-30, ⇒x= -2 and from equation (1), 2y= -6-6(-2) =6, ⇒ y=3

Therefore, the solution for the given set of equations is x= -2 and y=3

A) Solving the equations 8x+4y = -4 ....... (3)and 17x+2y =-28, we get  

8x -34x = -4 -(-56) =52, ⇒-26x =52, ⇒x=-2 and from equation )(3), we get -16+4y =-4, ⇒ y=3

Therefore, the solution x=-2 and y =3 match with the original solution.

B)Solving the equations 12x + 4y = 12 ....... (4)and 21x + 2y = −36, we get  

12x -42x = 12 -(-72) =84, ⇒-30x =84, ⇒x=-84/30.

Therefore, the solution x=-84/30 does not match with the original solution.

C) Solving the equations 6x + 8y = −36 ....... (4) and 15x + 6y = −60, we get 18x -60x = -108 -(-240) =132, ⇒-42x =132, ⇒x=-132/42

Therefore, the solution x=--3  do not match with the original solution.

D) Solving the equations 6x + y = 15 ....... (5) and 15x − y = −9, we get 6x +15x = 6, ⇒21x =6, ⇒x=2/7  

Therefore, the solution x=2/7  do not match with the original solution.

Therefore, option A) will have the same solution. (Answer)

4 0
2 years ago
How do I find x (area of rectangle & trapezium?
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Rectangle Formula: a = lw (Area = Length x Width) 

Trapezium: A= a+b/2h (Area = Area + Base / 2 x h) 

I hope this helps. :)
5 0
3 years ago
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8 0
3 years ago
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The radius of a circle can be approximated using the expression √(A/3). A circular kiddie swimming pool has an area about 28 squ
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Answer:

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12%+35<br><img src="https://tex.z-dn.net/?f=%20%5Csqrt%7B25%20%5Ctimes%2036%7D%20" id="TexFormula1" title=" \sqrt{25 \times 36}
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Well the question is written wrong but I think is 30
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2 years ago
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