The rectangle shown has a perimeter of 82 cm and the given area. Its length is 8 more than its width. Write and solve a system of equations to find the dimensions of the rectangle.

What is the multiple zero and multiplicity of f(x) = (x ? 3)(x ? 3)(x + 5)? multiple zero is 3; multiplicity is 2 multiple zero is 5; multiplicity is 1 multiple zero is ? 5; multiplicity is 1 multiple zero is ? 3; multiplicity is 2

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

Is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis.