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mote1985 [20]
3 years ago
8

Enter the correct answer in the box. Factor the expression x^2+ 4x - 12

Mathematics
1 answer:
kakasveta [241]3 years ago
7 0

Answer:

The answer to your question is:    (  x + 6  ) ( x - 2 )

Step-by-step explanation:

                           

             Factor             x² + 4x - 12 = 0

    Find two numbers that added gives +4 and if we multiply them get -12

We can find these numbers by decomposing -12 in its prime factors

           12    2

             6   2                         12 = 2 x 2 x 3

             3    3                  now combine the numbers to get -12 and + 4

             1                             2    and   2 x 3 = 6

                                        and 2 x 6 = 12

Then

                               (  x + 6  ) ( x - 2 )

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(BC) \sin(45)  = 8

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BC =  \frac{8}{ \sin(45) }

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Answer:

16

Step-by-step explanation:

First you want to plug in all the numbers where the letters are

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After this step you will have to distribute the 3 outside the parenthesis. Which you do by multiplying everything in side the parenthesis by the outside number which is three.

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3 years ago
The length of a rectangle is 3 1/6 cm longer than the width. The perimeter of the rectangle is 15 1/3 cm. What are the width and
timofeeve [1]

Answer:

Width = 2\frac{1}{4}cm

Length=5\frac{5}{12} cm

Step-by-step explanation:

Data from the question;

Perimeter of a rectangle is 15\frac{1}{3} cm

Length is 3\frac{1}{6} cm longer than the width

We are supposed to determine the length and the with of the rectangle;

Assuming, the width x cm

Then, the length is x+3\frac{1}{6} cm

We need to know that the perimeter of a rectangle is given by;

Perimeter = 2 ( length + width)

Therefore;

15\frac{1}{3}= 2 ( x + (x+3\frac{1}{6}))

15\frac{1}{3}=2(2x+3\frac{1}{6})

Thus;

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Therefore;

Width = 2\frac{1}{4}cm

Length = x + 3\frac{1}{6}

           =2\frac{1}{4}+3\frac{1}{6}

            =5\frac{5}{12} cm

Therefore; the length is 5\frac{5}{12} cm while the width is 2\frac{1}{4} cm

7 0
3 years ago
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