Answer= x³+4x²+16x+64
Expand the following:(x + 4 i) (x - 4 i) (x + 4)
(x - 4 i) (x + 4) = (x) (x) + (x) (4) + (-4 i) (x) + (-4 i) (4) = x^2 + 4 x - 4 i x - 16 i = -16 i + (4 - 4 i) x + x^2:
-16 i + (-4 i + 4) x + x^2 (4 i + x)
| | | | x | + | 4 i
| | x^2 | + | (4 - 4 i) x | - | 16 i
| | | | (-16 i) x | + | 64
| | (4 - 4 i) x^2 | + | (16 + 16 i) x | + | 0
x^3 | + | (4 i) x^2 | + | 0 | + | 0
x^3 | + | 4 x^2 | + | 16 x | + | 64:
Answer: x^3 + 4 x^2 + 16 x + 64
F(x)=x^2
x=-1→f(-1)=(-1)^2→f(-1)=1
g(x)=1/(2x+3)
g(f(-1))=g(1)→x=1→g(1)=1/[2(1)+3]=1/(2+3)→g(f(-1))=1/5
Answer: Option C.) 1/5
Answer:
6
Step-by-step explanation:
im just gonna name these couples by numbers 1 , 2 and 3 and each couple will take up 2 seats together.
1 2 3
3 2 1
2 3 1
1 3 2
2 1 3
3 1 2
proportional because 1*5/3*5=5/15
Answer:
AC = 40
Step-by-step explanation:
A quadrilateral is a polygon shape with four sides and four angles. The interior angle of a quadrilateral sums up to 360°.
A parallelogram is a quadrilateral (has four sides and four angles) in which has two pair of opposite sides are parallel to each other. The diagonals of a parallelogram bisect each other.
Given parallelogram ABCD:
Diagonals AC and BD bisect each other at point E. Hence:
AC = AE + CE (line segment addition postulate)
Also:
AE = CE (diagonal BD bisects AC at point E).
Hence; x + 16 = 5x
5x - x = 16
4x = 16
x = 4
AE = x + 16 = 4 + 16 = 20; CE= 5x = 5(4) = 20
AC = AE + CE = 20+ 20 = 40
