Answer:
a₁ = 6
Step-by-step explanation:
The sum to n terms of a geometric sequence is
= 
where a₁ is the first term and r the common ratio
Here 
= 1530 and r = 2, thus
= 1530 , that is
a₁ (256 - 1) = 1530
255a₁ = 1530 ( divide both sides by 255 )
a₁ = 6
Step-by-step explanation:
x⁴ − 5x³ + 11x² − 25x + 30
x⁴ − 5x³ + 6x² + 5x² − 25x + 30
x² (x² − 5x + 6) + 5 (x² − 5x + 6)
(x² + 5) (x² − 5x + 6)
(x² + 5) (x − 2) (x −3)
The zeros are 2, 3, and ±√5i.
The shaded region is a parallelogram.
The formula for the area of any parallelogram is
.
The base of the parallelogram is 2 meters long (given).
The height of the parallelogram is 9 meters (do not be fooled by the unnecessary information of 14 meters)
The height is 9 meters because the height has to be perpendicular to the base. Thus, the side length must be 9 meters.
Multiply them together.
The area of the parallelogram is 18 square meters.
