Answer:
Area of the base = 
Step-by-step explanation:
We know that volume of rectangular prism = (Area of base) x (Height)
or [Area of base] = [Volume]/[Height]
So basically we need to divide given area by given height to find the answer.
given height is (x+2) that means (x+2) must be factor of volume equation
or x=-2 must be root of volume equation so write down coefficients of volume equation then we divide by -2 as shown in attached picture.
Last digit on the right is always remainder.
Remaining coefficients {2, 5, -18} will give the area equation:
Hence final answer is:
Area of the base =
Graph 2 should be right because it moves up 1 because of the +1 that is in the parentheses.
A man enters a tall tower, needing to know its hieght. He notes that a long pendulum extends from the ceiling almost tothe floor and that its period is 15.5s. (a) How tall isthe tower? (b) If this pendulum is taken to the Moon,where the free-fall acceleration is 1.67m/s2, what isthe period there?T=15.5s(a) L=T2g/4π<span>2</span>
The answer is 3.0×10¹².
(5×10⁷)(6×10⁴)
(5×6)(10⁷×10⁴)
30×10⁷⁺⁴
30×10¹¹
Since the constant cannot be greater than 10, move the decimal point to the left.
30×10¹¹
3.0×10¹¹
The decimal was moved by one space, so the constant must be multiplied by 10 the one power. The 10 to the eleventh power still needs to be multiplied as well.
3.0×10¹⁺¹¹
3.0×10¹²
Since two exponents with the same base are being multiplied, it can be simplified by adding the exponents. Therefore, the final answer is 3.0×10¹².
