Answer:
E) -3, 5
Step-by-step explanation:
x – 15 / x = 2
x^2 - 15 = 2x
x^2 - 2x - 15 = 0
(x - 5)(x + 3) = 0
x - 5 = 0; x = 5
x + 3 = 0; x = -3
Solutions: -3, 5
The prism with the pentagonal base's volume is 585 cm³.
Step-by-step explanation:
Step 1:
The prism has a pentagonal base.
The volume of a prism with a pentagonal base, 
In the formula to determine the prism's volume, in the question, it is given that
is equal to 45 cm².
Step 2:
So if we substitute
in
we get,

The value of h for the given prism is 13 cm, so
cm³.
The prism's volume is 585 cm³.
Answer: 2,125,764
Step-by-step explanation:
You can use the equation y=ar^n-1 to find the 13th term where a is the starting term, r is the common ratio, and n is the nth term
The next number is 12/4=3 times greater than the first. So if this sequence is a geometric one, then the next term must be 12*3=36. This is true, and the next term must be 36*3=108, which is also true. Therefore this sequence is a geometric one and its common ratio is 3. Therefore the equation is:
y=4*3^(n-1)
Substitute 13 for n:
y=4*3^(13-1)
y=4*3^12
y=2125764
Therefore, the 13th term of this geometric sequence is 2,125,764
Answer:
0
Step-by-step explanation:
63 * 0 is 0. 0 * (-7) is also 0.
Anything multiplied by 0 is 0, no matter how big the number is, or how many numbers there are.
Hope this helps :)