A formal culture region differs from other regions in that it.. (A) has a focal point or node. (B) is one that people believe exists. (C) has a selected feature or internal uniformity. (D) does not contain gradations such as core, domain, and sphere. (E) applies only to linguistic and religion regions.

4. ¿Qué propone Mistral como símbolo alternativo para representar a Chile? A) El puma B) La vicuña C) El huemul D) El guanaco

\( a - 3 a ^ { 2 } - 6 a \sqrt { - 3 a ^ { 2 } + 6 a - 8 \quad a ^ { 3 } - 2 a ^ { 2 } + 3 a + 4 } \)

Which of the following points are on the line given by the equation \( y=\frac{1}{2} n \) ? Check all that apply. \( \square \) A. \( (3,15) \) \( \square \) B. \( (-2,-1) \) \( \square \) C. \( (3,6) \) \( \square \) D. \( (-2,1) \) \( \square \) E. \( (4,2) \) \( \square \) F. \( (2,1) \)

4. ABCD is a rectangle in which diagonal AC bisects \( \angle \mathrm{A} \) as well as \( \angle \mathrm{C} \). Show that: (i) ABCD is a square (ii) diagonal BD bisects \( \angle \mathrm{B} \) as well as \( \angle \mathrm{D} \).

5. The cubic equation \( 2 z^{3}+p z^{2}+q z+r=0 \) has roots \( \frac{\alpha}{k}, \alpha, k \alpha \). (i) Express \( p, q \) and \( r \) in terms of \( k \) and \( \alpha \).