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balu736 [363]
3 years ago
12

Which expression is equivalent to 12•2•3

Mathematics
1 answer:
Ivahew [28]3 years ago
3 0

Answer:

4 x 3 x 2 x 3

Step-by-step explanation:

4 x 3 = 12

12 x 2 = 24

24 x 3 = 36

It doesn't matter what order it will come out to be 36 in every situation, since PEMDAS isn't needed.

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What number must you add to complete the square? x^2+26x=33
katrin2010 [14]

Answer:

Must add: 202

Step-by-step explanation:

The \ formula \ for \ perfect \ square => (a + b)^2  = a^2 + 2ab + b^2

a = x

2ab = 26x

2ab = 26a  [ substitute a instead of x]

b = \frac{26a}{2a}

b= 13

So,

  (x + 13)^2 = x^2 + 26x + 169

But given equation is :

       x^2 + 26x = 33\  =>  \ x^2 + 26x -33 = 0

We have find the difference between 169 and -33 to get the number that should be added to get the perfect square.

That is , 169 - (-33) = 202

Therefore ,

   x^2 + 26x -33 + 202 \ makes \ given \ equation  \ a \ perfect \ square

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The roots of the equation are 2+9i and 2-9i.
AnnZ [28]
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3 years ago
How many solutions are there to the system of equations? StartLayout enlarged left-brace 1st row 4 x minus 5 y = 5 2nd row negat
kkurt [141]

Answer:

Only one solution  x=\frac{5}{4},y=0

Step-by-step explanation:

4x-5y=5..............(1)\\0.08x+0.10y=0.10...........(2)

Multiply equation (2) by 50

4x-5y=5........(3)

Now from equation (1)+ equation(3)

8x=10\\x=\frac{10}{8}\\x=\frac{5}{4}

Put the value in equation (1)

5-5y=5\\5y=0\\y=0

hence only one solution exists\left(\frac{5}{4},0\right).

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Step-by-step explanation:

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