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Nady [450]
2 years ago
9

a rectangle has an area that is represented by 9x²-4. the length of the rectangle is 3x-2. what is the width?

Mathematics
1 answer:
PSYCHO15rus [73]2 years ago
6 0

Step-by-step explanation:

the area is

length × width

(3x - 2) × width = 9x² - 4

to find width we could do a real polynomial division or simply recognize the fact that

(a + b)(a - b) = a² - b²

and we see that in our area calculation we are missing the (a + b) factor.

so, width = (3x + 2)

but if you want the division :

9x² - 4 : 3x - 2 = 3x + 2

- 9x² - 6x

-----------------

0 6x - 4

- 6x - 4

----------------------

0 0

again, width = (3x + 2)

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5/6+2/9= in simplest form I NEED this plz help
tensa zangetsu [6.8K]

Answer: 1  1/18

Step-by-step explanation: 5/6 + 2/9 I know this might seem like common, but <em>the </em><em>Numerator is the top number of a fraction</em><em> and the </em><em>Denominator is the bottom a fraction.</em> When the numerator and the denominator are the same such as 5/5 the fraction equals one (I know its real fancy). When you're multiplying a fraction that equals on by another fraction its really just multiplying by a fancy looking 1 that's disguised as a fraction such as  5/5. If you simplify it it goes to the fraction it was as long it was simplified to the max  (5/5 x 1/2 = 5/10= 1/2)

  • First, you need to find a like denominator,  which is 18
  • Then, you got to multiply each fraction to make them have common denominators ...multiply 5/6 by 3/3  ( 3/3 is just  a fancy way of saying one) 5/6 x 3/3 = 15/18....multiply  2/9 by 2/2 (which is just another fancy way of saying one ) 2/9 x 2/2=4/18
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