# Algebra: Equation of Circle, Expansion and Difference Quotient

1. The circle which has its center at the center of the hyperbola 4x2 +16x - 9y2 + 18y = 29 and whose diameter is the line segment between the vertices, what is the equation.

2. The coefficient of x7y9 in the expansion of (x-2) is?

3. Let f(x) = 2x + 1 , g(x) = x2 - 1 , and h(x) = square root (x + 1). Find the expansion for (f g h)(x).

4. Where f(x)= (2x+1)/ (4x+2), find and simplify the difference quotient [f( Â½ +h) -f( Â½ )] / h?

https://brainmass.com/math/basic-algebra/algebra-equation-circle-expansion-difference-quotient-6537

#### Solution Preview

Please see the attachment.

There might be some typing mistakes in your attachment and I corrected them.

1. First, we simplify the hyperbola . We can use the way of completing the squares. So we have

Thus the center of ...

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