Answer:
x²+1/x² = 51
Explanation:
Given x - 1/x = 7 ---(1)
We know the algebraic identity:
a²+b²-2ab = (a-b)²
Or
a²+b² = (a-b)²+2ab
Now,
x²+1/x²
= (x-1/x)²+2*x*(1/x)
= (x-1/x)²+2
:7²+2 [ from (1)] =
= 49+2
= 51
Therefore,
x²+1/x² = 51
A
this is a geometric sequence since there exists a common ratio r between the terms
r = 
= 
= 
= 3
B
to obtain the next term in the sequence multiply the previous term by 3
= 3 
← recursive rule
C
the n th term of a geometric sequence is
= 
where is the first term in the sequence
= 7 × 
← explicit rule
Answer:
C. 43.6
Step-by-step explanation:
you need to take the area of each shape
lets do the skinny triangles first on the top and bottom of this shape.
so to find the formula of triangle we need to do 0.5 * 1.26 * 5.3
because the formula of a triangle is half the base times height.
so we get 0.5 * 1.26 * 5.3 = 3.339
multiply it by two and we get 6.678
now lets find the area of the huge rectangle on the back/behind of the shape
3.3*5.3 = 17.49
now lets find the area of the two smaller rectangles
3.3 * 3.6 = 11.88
2.3 * 3.3 = 7.59
now lets add
6.678 + 17.49 + 11.88 + 7.59 = 43.638
round it to 43.6
