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3 years ago

Translation of the length of a rectangle is 2 feet greater than twice its width. If the perimeter is 25 feet, fine the width

Mathematics

1 answer:

blsea [12.9K]3 years ago

8 0

Answer:

Step-by-step explanation:

Perimeter of a rectangle=(length+width)×2

Let W=x, L=2x+2

25=[(2x+2)+x]×2

25=[2x+2+x]×2

Solve for x

25/2=3x+2

25/2-2=3x

25-4/2=3x

21\2=3x=7/2=x

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The diagram represents 6x2 – 7x 2 with a factor of 2x – 1. A 2-column table with 2 rows. First column is labeled 2 x with entrie

a_sh-v [17]

Factors of a polynomial can divide it without leaving remainder. The other factor of $6x^2 - 7x + 2$ is given by Option D : $3x + 2$

<h3>How to factorize a polynomial?</h3>

Let the polynomial A(x) has one factor f(x).

Then, it means, we have:

$\dfrac{A(x)}{f(x)} = g(x)$

Thus, A(x) can be written as $A(x) = f(x) \times g(x)$

Thus, the other factor of that polynomial is

$g(x) = \dfrac{A(x)}{f(x)}$

For given case, the polynomial $A(x)$ is

$A(x) = 6x^2 - 7x + 2$

Its one factor f(x) is given $f(x) = 2x - 1$

Thus, its second factor is obtained as:

$g(x) = \dfrac{A(x)}{f(x)} = \dfrac{6x^2 - 7x + 2}{(2x - 1)} = \dfrac{6x^2 -4x -3x - 2}{2x - 1}\\\\g(x) = \dfrac{2x(3x + 2) - 1(3x + 2)}{2x - 1} = \dfrac{(2x - 1)(3x + 2)}{2x - 1}\\\\g(x) = (3x + 2)$

Thus, the second factor of the given polynomial is

Option D : $3x + 2$

Learn more about factors of polynomials here:

brainly.com/question/16078564

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