This sequence is not a geometric.
It is because, common ratio = 6/3 = 2
9/6 = 1.5
As the ratio's are not same, it is not a G.P
Hope this helps!
We know that x > 2 ( or : x ≠ +/- 2 )
We have to factorize the numerator and the denominator:
x² - x - 6 = x² - 3 x + 2 x - 6 = x ( x - 3 ) + 2 ( x - 3 ) = ( x - 3 ) ( x + 2 )
x ² - 4 = ( x - 2 ) ( x + 2 )
Answer:
27.2 inches
Step-by-step explanation:
Given :
Refer the attached figure
ΔABC AND ΔEDC are right angled triangle at B and D respectively
So we will use trigonometric ratios :

IN ΔABC perpendicular = AB=20 inches and hypotenuse = AC=34 inches


IN ΔEDC perpendicular = ED=16 inches and hypotenuse = EC=x inches


Since ∠ACB = ∠ECD
⇒
⇒
⇒
Thus distance X the ball traveled after it bounces off the wall to get to the ending position =27.2 inches
The combined volume is 320 cu. in.
The volume of the bottom of the box is given by the formula
V = lwh
In this situation, we have
V=8(8)(4) = 256 cu. in.
The volume of the top is given by the formula
V = 1/3lwh
For this situation, we have
V=1/3(8)(8)(3) = 64 cu. in.
Together, this makes
256+64 = 320 cu. in.
Its the 10th place because its the first number on the decimal side