The points lie on the line, I believe, since they're part of it.
Answer:
— 4√16(cos(4π3)+isin(4π3))=2(cos(−π6)+isin(−π6))=√3−i. Explanation: De Moivre's formula tells us that: (cosθ+isinθ)n=cosnθ+isinnθ.
Step-by-step explanation:
Answer:
AE = 18 units
Step-by-step explanation:
Δ AEB and Δ DEC are similar , then corresponding sides are in proportion, that is
=
, substitute values
=
( cross- multiply )
10(2x + 4) = 12(x + 8) ← distribute parenthesis on both sides
20x + 40 = 12x + 96 ( subtract 12x from both sides )
8x + 40 = 96 ( subtract 40 from both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Then
AE = 2x + 4 = 2(7) + 4 = 14 + 4 = 18 units
Answer:
Step-by-step explanation:
(1) P = 5G
(2) G + P = 30
Substituting (1) into (2) gives:
G + 5G = 30
6G = 30
G =5
So there are 5 green pencils.
Now using that in (1) gives us P = 5 x 5 = 25
So there are 5 green pencils and 25 purple pencils.