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3 years ago

Find the area of the figure. (Sides meet at right angles.)

Mathematics

1 answer:

Bess [88]3 years ago

5 0

Answer:

Step-by-step explanation:

A=(3*4)+(4*(4+3+4))=56

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PLs help with these 2 problems

gavmur [86]

The expressions are simplified to 2x and $\frac{2}{(x+ 1)(x - 1)}$

<h3>How to simply the expressions</h3>

Given the expression;

$\frac{8x^2 - 4x}{4x - 2}$

Let's factorize the numerator;

$\frac{2x( 4x - 2)}{4x - 2}$

Factor the common terms, we have;

2. $\frac{1}{x-1} - \frac{2}{x} + \frac{1}{x + 1}$

Find the Lowest common multiple

$\frac{x(x+ 1) - 2 (x+ 1)(x - 1) + x(x-1)}{x(x-1)(x+ 1)}$

expand the brackets

$\frac{x^2 + x -2(x^2 -x + x -1) + x^2 -x}{x(x-1)(x+ 1)}$

$\frac{x^2+x - 2x^2 -2 + 2x + 2 + x^2 - x}{x(x+1) (x -1)}$

collect like terms

$\frac{2x}{x(x+ 1) (x-1)}$

Divide common terms

$\frac{2}{(x+ 1)(x - 1)}$

Thus, the expressions are simplified to 2x and $\frac{2}{(x+ 1)(x - 1)}$

Learn more about algebraic expressions here:

brainly.com/question/4344214

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7 0

2 years ago

A steel company is making flat rectangular frames as a part of a new product they are launching Each frame will be cut out of a

Basile [38]

Answer:

The problem has no real solution, because the area of inside of the frame is bigger than the total area of the frame.

Step-by-step explanation:

Any way here is the mathematical explanation/solve to this statement.

As show in the graphic, there is a representation of the situation stated in the problem. So in order to calculate the area we have the next equation as a function of x.

Area:

$A=b*h= (6+2x)(11+2x)\\\\A=28=66+12x+22x+4x^2}\\\\Simplifing\\\\4x^2+34x+38=0\\\\$

Solving the equation to find the roots (values of x):

$x=\frac{-b+- \sqrt{b^2-4ac} }{2a}=\frac{-34+-\sqrt{546} }{8} \\\\solving\\\\x=-7.2\\\\x=-1.3\\$

So mathematically there is no real answer, since x is a width must be positive number. And practically the outer area must be bigger than the inner area, and the inner area is given by 6 times 11, or 66 $cm^2$ .