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sukhopar [10]
4 years ago
15

Whats the anserr becuse i got this wrong on a home work sheet

Mathematics
1 answer:
Murrr4er [49]4 years ago
6 0
Well to demonstrate the answer, let's look at a basic example:

Sq root of 2^2 = ?
Well 2 ^2 = 2•2 = 4 and the square root of 4 is 2. So whenever you think of what the opposite of squaring or raising something to the value of 2, the reverse would be taking the square root of the number or expression.

So sq root of 14x • sq. root of 14x = (sq. root of 14x) ^2 which is simply 14x.

The solution is 14x.
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Simplify; 1/x^2+5x+6 + 1/x^2+3x+2<br><br> pls I need a step by step solution urgently
ikadub [295]

Answer:

The simplest form of  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}  is  \frac{2}{(x+1)(x+3)}

Step-by-step explanation:

To add two algebraic fractions do these steps

  1. Factorize each denominator
  2. Simplify each fraction to its lowest term
  3. Find the LCM of the two denominators
  4. Divide LCM by each denominator and multiply the numerators by its corresponding quotients
  5. Add the two fraction and simplify the last answer

To simplify \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}

Factorize each denominator

∵ The denominator of the first fraction is x² + 5x + 6

∵ x² = (x)(x)

∵ 6 = (2)(3)

∵ (2)(x) + (3)(x) = 5x ⇒ middle term

∴ x² + 5x + 6 = (x + 2)(x + 3)

∵ The denominator of the second fraction is x² + 3x + 2

∵ x² = (x)(x)

∵ 2 = (2)(1)

∵ (2)(x) + (1)(x) = 3x ⇒ middle term

∴ x² + 3x + 2 = (x + 2)(x + 1)

Find the LCM of the two denominators

∵ The denominators are (x + 2)(x + 3) and (x + 2)(x + 1)

- LCM is all the <u><em>different factors</em></u> multiplied together

∴ LCM of them is (x + 1)(x + 2)(x + 3)

- Divide LCM by each denominator

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 3) = (x + 1)

- Multiply the numerator of the first fraction by (x + 1)

∵ (x + 1)(x + 2)(x + 3) ÷ (x + 2)(x + 1) = (x + 3)

- Multiply the numerator of the second fraction by (x + 3)

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{x+1}{(x+1)(x+2)(x+3)}+\frac{x+3}{(x+1)(x+2)(x+3)}

- Add the numerators and write the answer as a single fraction

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{2x+4}{(x+1)(x+2)(x+3)}

- Factorize the numerator by taking 2 as a common factor

∵ 2x + 4 = 2(x + 2)

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{2(x+2)}{(x+1)(x+2)(x+3)}

- Simplify the fraction by dividing up and down by (x + 2)

∴  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2} = \frac{2}{(x+1)(x+3)}

The simplest form of  \frac{1}{x^{2}+5x+6}+\frac{1}{x^{2}+3x+2}  is  \frac{2}{(x+1)(x+3)}

5 0
3 years ago
A certain basket contains 10 apples, 7 of which are red and 3 of which are green. if 3 different apples are to be selected
SashulF [63]
The probability for getting a red apple is 70% and green apples is 30%.
So for getting three different apples is impossible since there are two types of apples. 
3 0
3 years ago
Kenny reads 5/8 page in 2/3 minute. <br><br> This is unit rates
Nat2105 [25]
Find unit rate of pages read per minute:

(5/8)/(2/3)

(5/8)*(3/2)

(5*3)/(8*2)

(15)/(16)

15/16

Kenny reads 15/16 pages every minute (unit rate)
5 0
4 years ago
A triangle has vertices at L(2, 2), M(4,4), and N(1,6). The
pav-90 [236]

Answer:

The rule for the transformation is (x, y) + (-X, -Y)

The coordinates of L'are (-2,-2).

The coordinates of N' are (-1,-6)

Step-by-step explanation:

90 degree rotation from (x,y) results in (-x, y) and 180 degree results in (-x,-y)

The coordinates will change accordingly

L(2,2) will become L'(-2,-2)

M(4,4) will become M'(-4,-4)

and

N(1,6) will become N'(-1,-6)

So the correct statements are:

The rule for the transformation is (x, y) + (-X, -Y)

The coordinates of L'are (-2,-2).

The coordinates of N' are (-1,-6) ..

8 0
4 years ago
Read 2 more answers
Please help me with this question
lara31 [8.8K]

Answer:

ghghjhjghjghghjghghj

Step-by-step explanation:

jghjghjghjghj

5 0
4 years ago
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