The answer is choice B. The coordinate point CAN share the same y point but, CANNOT share the same x point
- A stretched catapult has potential energy because it can perform work when released.
- A stone on the ground has no energy because it will never move on its own again.
- There needs to be friction between an object and the ground for it to roll (otherwise it will slide)
- You must overcome the weight, which is the force of gravity, in order to lift a stone.
- Joules are units used to quantify both energy and work.
What is energy?
- A moving object's kinetic energy, a potential energy cached by an object (for instance because of its location in a field),
- Its elastic energy contained inside a fixed material, chemical energy linked to chemical reactions, radiant energy undertaken by electromagnetic radiation.
- As well as internal energy embedded within a thermodynamic system are examples of common forms of energy.
- Energy is constantly being consumed and expended by all living things.
Energy analysis of given question is illustrated below:
A stretched catapult has potential energy because it can perform work when released.
A stone on the ground has no energy because it will never move on its own again.
There needs to be friction between an object and the ground for it to roll (otherwise it will slide)
You must overcome the weight, which is the force of gravity, in order to lift a stone.
Joules are units used to quantify both energy and work.
Learn more about energy here:
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Well, notice the graph, the center is clearly not at the origin.
well, the major axis is horizontal, notice the distance from the center to a vertex, is 4 units, and the major axis is 2a, namely 2(4).
the foci are the points at "c" distance from the center of the ellipse over the major axis, hmmmm what is "c" anyway?
![\bf \textit{ellipse, horizontal major axis} \\\\ \cfrac{(x- h)^2}{ a^2}+\cfrac{(y- k)^2}{ b^2}=1 \qquad \begin{cases} center\ ( h, k)\\ vertices\ ( h\pm a, k)\\ c=\textit{distance from}\\ \qquad \textit{center to foci}\\ \qquad \sqrt{ a ^2- b ^2}\\ \end{cases} \\\\ -------------------------------\\\\ \begin{cases} a=4\\ b=2 \end{cases}\implies c=\sqrt{4^2-2^2}\implies c=\sqrt{12}\implies c=\sqrt{4\cdot 3} \\\\\\ c=\sqrt{2^2\cdot 3}\implies c=2\sqrt{3}](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bellipse%2C%20horizontal%20major%20axis%7D%0A%5C%5C%5C%5C%0A%5Ccfrac%7B%28x-%20h%29%5E2%7D%7B%20a%5E2%7D%2B%5Ccfrac%7B%28y-%20k%29%5E2%7D%7B%20b%5E2%7D%3D1%0A%5Cqquad%20%0A%5Cbegin%7Bcases%7D%0Acenter%5C%20%28%20h%2C%20k%29%5C%5C%0Avertices%5C%20%28%20h%5Cpm%20a%2C%20%20k%29%5C%5C%0Ac%3D%5Ctextit%7Bdistance%20from%7D%5C%5C%0A%5Cqquad%20%5Ctextit%7Bcenter%20to%20foci%7D%5C%5C%0A%5Cqquad%20%5Csqrt%7B%20a%20%5E2-%20b%20%5E2%7D%5C%5C%0A%5Cend%7Bcases%7D%0A%5C%5C%5C%5C%0A-------------------------------%5C%5C%5C%5C%0A%5Cbegin%7Bcases%7D%0Aa%3D4%5C%5C%0Ab%3D2%0A%5Cend%7Bcases%7D%5Cimplies%20c%3D%5Csqrt%7B4%5E2-2%5E2%7D%5Cimplies%20c%3D%5Csqrt%7B12%7D%5Cimplies%20c%3D%5Csqrt%7B4%5Ccdot%203%7D%0A%5C%5C%5C%5C%5C%5C%0Ac%3D%5Csqrt%7B2%5E2%5Ccdot%203%7D%5Cimplies%20c%3D2%5Csqrt%7B3%7D)
the directrices are lines parallel with the minor axis, and away from the vertices, in this case they're be two vertical lines.
Answer: ![x=6](https://tex.z-dn.net/?f=x%3D6)
<u>Divide both sides by 6</u>
![6x/6=36/6\\x=6](https://tex.z-dn.net/?f=6x%2F6%3D36%2F6%5C%5Cx%3D6)
Answer:
The volume of the cone would be 2513.27 cubic feet.