Answer:
x = 2
Step-by-step explanation:
Given a line parallel to a side of a triangle and intersecting the other 2 sides then it divides those sides proportionally, that is
= 
( cross- multiply )
6x = 4(x + 1)
6x = 4x + 4 ( subtract 4x from both sides )
2x = 4 ( divide both sides by 2 )
x = 2
Answer:
3x³ + x² - 2
Step-by-step explanation:
a) 3(x squared plus 3x cubed - 2)
x squared = x²
3x cubed = 3x³
3(x squared plus 3x cubed - 2)
= 3(x² + 3x³ - 2)
= 3x² + 9x³ - 6
Rearrange according to power
= 9x³ + 3x² - 6
When the expression is divided by 3, it is equivalent to
3x³ + x² - 2
Answer:
N = 17
Step-by-step explanation:
In a parallelogram the opposite angles are congruent, hence
4n - 2 = 2n + 32 ( subtract 2n from both sides )
2n - 2 = 32 ( add 2 to both sides )
2n = 34 ( divide both sides by 2 )
n = 17
Answer:
a₈ = - 10935
Step-by-step explanation:
the nth term of a geometric sequence is
= a₁ 
where a₁ is the first term and r the common ratio
here a₁ = 5 and r = 
= 
= - 3 , then
a₈ = 5 × 
= 5 × - 2187 = - 10935
the commutative property was used
