Answer:
14.39
Step-by-step explanation:
a^2 + b^2 = c^2
33^2 + b^2 = 36^2
1089 + b^2 = 1296
1089 - 1089 + b^2 = 1296 - 1089
b^2 = 207
b = 14.39
We have been given that a new kind of rocket takes off along an exponential trajectory, with height, in miles, represented by
, where x is the time, in seconds. We are asked to find the time when the height of the rocket id 8 miles.
To find the time, we will equate height function with 8 and solve for x as:

To solve for x, we will take natural log on both sides as:

We can rewrite 8 as
.

Using natural log property
, we will get:



Therefore, exact solution will be
.


Upon rounding to nearest thousandth, we will get:

Therefore, the height of the rocket will be 8 miles after approximately 1.89 seconds.
Lets say black is negativa and white is positive. A black square would mean -x^2, one white rod can get canceled out by a black on so +x is left, and two black unit blocks are left. Therefore its -x^2+x-2.