the perimeter of a regular pentagon with a side length of 3 m

Simplify \( (3-2 i)-(4+6 i) \)

What was a negative consequence of the Industrial Revolution? A. Stock market instability B. Overcrowding of cities C. Poor quality crops D. Lack of needed workers

(7) Em uma perquisa, \( 80 \% \) dar alunor preferen matematreare as \( 50 \% \) alunor, quantar preferem matematuca.

51 Pour tout nombre complexe \( z=x+\mathrm{i} y \), on associe le complexe \( Z=z^{2}-2 \mathrm{i} z+2 \). 1. Écrire \( Z \) sous forme algébrique en fonction de \( x \) et de \( y \). 2. Si \( z \) est réel, montrer que \( Z \) est réel. 3. La réciproque est-elle vraie? 4. Déterminer l'ensemble des nombres complexes \( z \) tel que \( Z \) soit réel.

Given that \( f(x)=6 x-6 \) and \( g(x)=-3 x^{2}-4 x-12 \), calculate (a) \( f(g(-1))=\square \) (b) \( g(f(-6))=\square \)