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Nat2105 [25]
3 years ago
13

[7.07] Choose the correct product of (6x + 2)2.

Mathematics
2 answers:
FromTheMoon [43]3 years ago
5 0

Answer:

36x^2 + 24x + 4

Explanation:

The perfect square has the following general formula:

(a + b)^2 = a^2 + 2ab + b^2

Now, we will expand the given perfect square based on the above general formula:

(6x + 2)^2 = (6x)^2 + 2(6x*2) + (2)^2

                = 36x^2 + 24x + 4

Have a nice day

Elodia [21]3 years ago
4 0
Answer:
36x^2 + 24x + 4

Explanation:
The perfect square has the following general formula:
(a + b)^2 = a^2 + 2ab + b^2

Now, we will expand the given perfect square based on the above general formula:
(6x + 2)^2 = (6x)^2 + 2(6x*2) + (2)^2
                 = 36x^2 + 24x + 4

Hope this helps :)
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andreyandreev [35.5K]

Answer:

The given system of equations has solutions below:

1) The solution is (2,3)

2) The solution is (\frac{-8}{7}, \frac{5}{7})

3) The solution is infinitely many solutions

4) No solution

Step-by-step explanation:

Given system of equation are

-x+2y=4\hfill (1)

-4x+y=-5\hfill (2)

To solve equation by using elimination method

Multiply eqn (2) into 2

-8x+2y=-10\hfill (3)

Now subtracting (1) and (3)

-x+2y=4

-8x+2y=-10

_________________

7x=14

x=\frac{14}{7}

x=2

Substitute x=2 in equation (1)

-2+2y=4

2y=4+2

y=\frac{6}{2}

y=3

Therefore the solution is (2,3)

2) Given equation is

-2x+y=3\hfill (1)

4y-4=x

Rewritting as below

x-4y=-4\hfill (2)

To solve equation by using elimination method

multiply (2) into 2

2x-8y=-8\hfill (3)

Adding (1) and (3)

-2x+y=3

2x-8y=-8

________

-7y=-5

y=\frac{5}{7}

substitute y=\frac{5}{7} in (1)

-2x+\frac{5}{7}=3

-2x=3-\frac{5}{7}

-2x=\frac{21-5}{7}

x=-\frac{8}{7}

Therefore the solution is (\frac{-8}{7},\frac{5}{7})

3) Given equation is 6x+2y=10\hfill (1)

3x+y=5\hfill (2)

equation (1) can be written as

2(3x+y)=10

3x+y=\frac{10}{2}

3x+y=5

Therefore equations (1) and (2) are same therefore it has infinitely many solutions

4) Given equation is -x-2y=14\hfill (1)

-2x-4y=12\hfill (2)

multiply equation (1) into 2

-2x-4y=28\hfill (3)

To solve equation by using elimination method

subtracting (2) and (3)

-2x-4y=28

-2x-4y=12

_______

28\neq -12

therefore it has no solution

4 0
2 years ago
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Answer:

1. c

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Step-by-step explanation:

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2. if the slope of two lines are equal then both the lines are parallel. if the product of the slopes of two lines equal to one then lines will be perpendicular.

3. diagonals bisect or not can be checked by using midpoint formula.

4. equilateral triangle if the distance of each side is equal so, distance formula can be used.

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Factor: 9t^2-16u^2 ?
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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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