16 Iff \( \frac{x}{a+b-c}=\frac{y}{a-b \div c}=\frac{z}{b-a+c} \), prove that : \( \frac{x+y}{a}=\frac{y+z}{c} \)

Prove, by factoring, that \( A(x)=(x-2)(-x+1) \) Let \( F(x)=\frac{A(x)}{2} \)

factoring, that \( A(x)=(x-2)(-x+1) \)

The sum of the squares of two consecutive integers is 41 . The integers are :

d) \( \begin{aligned} & f(x)=\left\{\begin{array}{c}3 x+4,-1 \leq x<2 \\ 1+x, 2 \leq x \leq 5\end{array}\right. \\ & \operatorname{Dom}(f)=\{x:-1 \leq x<5\}=[-1,5)\end{aligned} \)

If \( p=\{2,3,5,7,11\} \) and \( Q=\{1,3,5,11\} \) Rationalise the denominator of \( \frac{5+\sqrt{3}}{5-\sqrt{3}} \)