Step-by-step explanation:
angles a,f,g form a triangle
sum of angles in ∆ = 33 + 112+ a = 180
145 + a = 180
a = 35°
Answer:
f(- 2) = 8
Step-by-step explanation:
Evaluating for x = - 2
f(- 2) = 2
- 4(- 2)³ - 11(- 2)² + 3(- 2) - 6
= (2 × 16) + (- 4 × - 8) + (- 11 × 4) - 6 - 6
= 32 + 32 - 44 - 6 - 6 = 8
Answer:
All the three statements presented are indeed valid and satisfy the De Morgan's theorem.
Step-by-step explanation:
The truth tables are presented in the attached images.
a) The statement (X + Y + Z)' = (X'Y'Z') has its proof in the first image attached.
b) The statement (XYZ)' = (X' + Y' + Z') has its proof in the second image attached.
c) The statement (X + YZ) = (X + Y)(X + Z) has its proof in the third image attached.