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2 years ago

X^2-16/x^2-3x-4 simply

Mathematics

2 answers:

kolbaska11 [484]2 years ago

7 0

Answer:

x+4/x+1

Step-by-step explanation:

hope this can help you :)

Makovka662 [10]2 years ago

4 0

Answer:

$\frac{x+4}{x+1}$

Step-by-step explanation:

Given

$\frac{x^2-16}{x^2-3x-4}$ ← factor numerator/ denominator

= $\frac{(x-4)(x+4)}{(x-4)(x+1)}$ ← cancel the factor (x - 4) on numerator/ denominator

= $\frac{x+4}{x+1}$

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The length of a rectangle is 5 ft less than three times the width, and the area of the rectangle is 50 ft². Find the dimensions

Mariulka [41]

Answer

Length = 10 ft

Width = 5 ft

Explanation

Area of the rectangle given = 50 ft²

Let the width of the rectangle be x

So this means the length of the rectangle will be 3x - 5

What to find:

The dimensions of the rectangle.

Step-by-step solution:

Area of a rectangle = length x width

i.e A = L x W

Put A = 50, L = 3x - 5, W = x into the formula.

$\begin{gathered} 50=(3x-5)x \\ 50=3x^2-5x \\ 3x^2-5x-50=0 \end{gathered}$

The quadratic equation can now be solve using factorization method:

$\begin{gathered} 3x^2-5x-50=0 \\ 3x^2-15x+10x-50=0 \\ 3x(x-5)+10(x-5)=0 \\ (3x+10)(x-5)=0 \\ 3x+10=0\text{ }or\text{ }x-5=0 \\ 3x=-10\text{ }or\text{ }x=5 \\ x=-\frac{10}{3}\text{ }or\text{ }x=5 \end{gathered}$

Since the dimension can not be negative, hence the value of x will be = 5.

Therefore, the dimensions of the rectangle will be:

$\begin{gathered} Length=3x-5=3(5)-5=15-5=10\text{ }ft \\ \\ Width=x=5\text{ }ft \end{gathered}$

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6 months ago

A shoe box in the shape of a rectangular prism has a length of 12 inches, a width of 6 1/2 inches, and a height of 4 1/2 inches.

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Answer AND Step-by-step explanation:

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hichkok12 [17]

Answer:

Step-by-step explanation:

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