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Amanda [17]
3 years ago
5

20. Factor the expression. ^2 + 7 + 12

Mathematics
2 answers:
Vadim26 [7]3 years ago
8 0

Answer:

Step-by-step explanation:

x² + 7x + 12 = x² + 4x + 3x + 3*4

                   = x*(x + 4) +  3*(x + 4)

                   =(x + 4) (x+3)

neonofarm [45]3 years ago
7 0

Answer: x^2 + 19

Step-by-step explanation: Cancel out x^2 and add 7 and 12 together. 7 + 12 = 19. Next plug in x^2. So, its now x^2 + 19.

Hope this help!

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siniylev [52]

The answer is 2n - 1 = 12

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3 years ago
Read 2 more answers
Solve equation: 15=2y - 5(quickly please)
andrew11 [14]


15+5=2y-5+5

=20 = 2y

20/2 = 2y/2

10 = y

5 0
2 years ago
Determine the next step for solving the quadratic equation by completing the square
GaryK [48]

Answer:

  • The two solutions are:           x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}

  • The next and every step are below.

Explanation:

1. -3=-2x^2+2x    : Given (addition property / add - 3 to both sides)

2. -3 = - 2(x^2-x)    : Given (commom factor - 2)

3. -3-1/2=-2(x^2-x+1/4)

    To obtain the perfect square it was added the square of half of the coefficient of x: (1/2)² = 1/4, inside the parenthesis.

Since, the terms inside the parentthesis are multiplied by - 2, you have to add - 2 (1/4) = - 1/2 to the left side of the equation.

4. Now, you have that the trinomial x² - x + 1/4 is a square perfect trinomial which is factored as (x - 1/2)² and get the expression:

-7/2=-2(x-1/2)^2

5. Divide both sides by - 2 to get the next expression:

-7/4=(x-1/2)^2

6. The last step is to extract squere root from both sides of the equality:

(x-1/2)=+/-\sqrt{\frac{7}{4}}\\ \\ x-1/2=+/-\frac{\sqrt{7} }{2}\\ \\ x=\frac{1}{2}+/-\frac{\sqrt{7} }{2}

8 0
2 years ago
Find the dimensions of the rectangle
hoa [83]
(a) The sum of length and width is half the perimeter, so the breadth in terms of length (x) in cm will be
.. breadth = 34 -x


(b) Then the expression for the area (in cm^2) is
.. area = length*breadth
.. 253 = (x)(34 -x)
.. x^2 -34x +253 = 0 . . . . . subtract the right side, eliminate parentheses
.. (x -11)(x -23) = 0 . . . . . . . factor
.. x = 11 or 23

The dimensions of the rectangle are 11 cm by 23 cm.
7 0
3 years ago
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