\( x-y=5 \) ve \( x \cdot y=2 \) olduguna göre, \( x^{2}+y^{2} \) toplamını bulunuz.

(C) 200 V \( \begin{array}{ll}\text { (D) } 240 \mathrm{~V} & \text { 1. } 272 \text {; two real solutions } \\ \text { 36. Match each equation on the left with its discriminant and description of its } \\ \text { A. } x^{2}-3 x+6=0 & \text { 2. }-136 \text {; two imaginary solutions } \\ \begin{array}{ll}\text { B. } 8 x^{2}-4 x-8=0 & \text { 3. }-15 \text {; two imaginary solutions } \\ \text { C. } 6 x^{2}-12 x+2=-4 & \text { 4. } 0 \text {; one real solution } \\ \text { D. } 7 x^{2}-2 x-5=-10 & \end{array}\end{array}> \)

Simplify the following: 1. \( 4 \times 4^{2 a} \times 4^{2} \times 4^{a} \) 2. \( \frac{3^{2}}{2^{-3}} \) 3. \( \left(3 p^{5}\right)^{2} \) 4. \( \frac{k^{2} k^{3 x-4}}{k^{x}} \) 5. \( \left(5^{z-1}\right)^{2}+5^{z} \) 6. \( \left(\frac{1}{4}\right)^{0} \) 7. \( \left(x^{2}\right)^{5} \) 8. \( \left(\frac{a}{b}\right)^{-2} \) 9. \( (m+n)^{-1} \) 10. \( 2\left(p^{t}\right)^{s} \)

\[ 6=8 x-2 \] Enter your answer as a simplified improper fraction, if necessary. Do not include " \( x \)

Find the slope of the following line: \[ y=-7 x-6 \]

Solve the following equation for \( x \) : \[ -4(x-5)+1=-1+3(x+6) \]