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photoshop1234 [79]

4 years ago

10

Complete the factorization, x^2+5x+6=(x+ )(x+2)

2 answers:

Alborosie4 years ago

6 0

Answer:

$x^{2} +5x +6= (x+3)(x+2)$

Step-by-step explanation:

$x^{2} +5x+6\\=x^{2} +2x+3x+6\\=x(x+2)+3(x+2)\\=(x+2)(x+3)$

Masteriza [31]4 years ago

6 0

Answer:

Step-by-step explanation:

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The combined area of two squares is 45 square centimeter each side of one square is twice as long as the side of another square

Roman55 [17]

Let $x$ be the side length of the small square. Then, the side length of the big square is $2x$ .

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4 years ago

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Witch of the following equations could be used to solve the problem? x2+2=36 2x+2=36 2x=36 2x+1=36

Tomtit [17]

Answer:

There is no problem stated, but here is the x's for every equations provided:

Step-by-step explanation:

a.) x²+2=36

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3 years ago

For each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to

kiruha [24]

Answer:

D) 11/3

Step-by-step explanation:

Let x represent monthly salary.

We have been given that for each month of a given year except December, a worker earned the same monthly salary and donated one-tenth of that salary to charity.

Salary earned in 11 months would be $11x$ .

Money donated in 11 months would be $\frac{11x}{10}$ .

Further we are told that in December, the worker earned N times his usual monthly salary and donated one-fifth of his earnings to charity.

Salary for December would be $Nx$ .

Money donated in December would be $\frac{Nx}{5}$ .

The worker's charitable contributions totaled one-eighth of his earnings for the entire year that is $\frac{1}{8}\cdot (11x+Nx)$ .

$\frac{11x}{10}+\frac{Nx}{5}=\frac{1}{8}\cdot (11x+Nx)$

Dividing whole equation by x, we will get:

$\frac{11x}{10x}+\frac{Nx}{5x}=\frac{1}{8x}\cdot x(11+N)$

$\frac{11}{10}+\frac{N}{5}=\frac{1}{8}\cdot (11+N)$

$\frac{11}{10}+\frac{N}{5}=\frac{11}{8}+\frac{N}{8}$

Combine like terms:

$\frac{N}{5}-\frac{N}{8}=\frac{11}{8}-\frac{11}{10}$

$\frac{N}{5}*40-\frac{N}{8}*40=\frac{11}{8}*40-\frac{11}{10}*40$

$8N-5N=11*5-11*4$

$3N=55-44$

$3N=11$

$\frac{3N}{3}=\frac{11}{3}\\\\N=\frac{11}{3}$

Therefore, the value of N is 11/3 and option D is the correct choice.

4 0

3 years ago