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gayaneshka [121]
3 years ago
9

Simplify

title=" \frac{4}{x-6} + \frac{3}{x+5} " alt=" \frac{4}{x-6} + \frac{3}{x+5} " align="absmiddle" class="latex-formula">
Mathematics
2 answers:
Svetradugi [14.3K]3 years ago
7 0
Combine the fractions by finding a common denominator.<span><span><span><span>     7x</span>+2
</span><span><span>--------------
(<span>x+5</span>)</span><span>(<span>x<span>−6</span></span>)</span></span></span></span>
Angelina_Jolie [31]3 years ago
5 0
\frac{4}{x - 6} + \frac{3}{x + 5} = \frac{4(x + 5)}{(x - 6)(x + 5)} + \frac{3(x - 6)}{(x - 6)(x + 5)} = \frac{4x + 20}{(x - 6)(x + 5)} = \frac{3x - 18}{(x - 6)(x + 5)} = \frac{4x + 20 + 3x - 18}{(x - 6)(x + 5)} = \frac{4x + 3x + 20 - 18}{(x - 6)(x + 5)} = \frac{7x + 2}{(x - 6)(x + 5)}
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Step-by-step explanation:

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Whats 20 inches and 7 feet as a fraction in simpalist form
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7 0
3 years ago
A square piece of paper has an area of x2 square units. A
Dmitry_Shevchenko [17]

Answer:

Length of rectangular strip = 12

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Step-by-step explanation:

Area of square x^2

area of rectangle is given by length * width

Length of rectangular strip = x

width of rectangular strip = 2

area of rectangular strip =  length * width = 2*x = 2x

Area of square piece of paper when  rectangular strip is taken away from it

= Area of square - area of rectangular strip

= x^2 -2x

It is given that Area of square piece of paper when  rectangular strip is taken away from it is 120 square units.

Thus,

x^2 -2x = 120\\=> x^2 -2x -120 = 0\\=> x^2 -12x +10x-120\\=> x(x-12) +10(x-12)\\=> (x+10)(x-12) = 0\\\\

Thus,

either x+10 = 0 or x -12= 0

x = -10 or x = 12

but length cannot  be negative hence neglecting x = -10

hence value of x is 12.

Hence,

Length of rectangular strip = 12

area of rectangular strip =   2*12 = 24

Area of square =  x^2 = 12^2 = 144

5 0
3 years ago
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