Because when multiplying you add the number of variables, and there are 3 X's so it would be 6x with an exponent of 3
Answer:
Step-by-step explanation:
<u>Let the cost of a sheet be s and cost of a blanket be b</u>
<u>From the first equation we get:</u>
<u>Substitute in the second equation</u>
- s + 4*(41 - 2s) = 80
- s + 164 - 8s = 80
- 7s = 84
- s = 12
<u>Then</u>
For this case we must find the product of the following expression:

We combine using the product rule for radicals:
![\sqrt [n] {a} * \sqrt [n] {b} = \sqrt [n] {ab}](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%7D%20%2A%20%5Csqrt%20%5Bn%5D%20%7Bb%7D%20%3D%20%5Csqrt%20%5Bn%5D%20%7Bab%7D)
So, we have:

We rewrite the 216 as

By definition of properties of powers and roots we have:
![\sqrt [n] {a ^ n} = a ^ {\frac {n} {n}} = a](https://tex.z-dn.net/?f=%5Csqrt%20%5Bn%5D%20%7Ba%20%5E%20n%7D%20%3D%20a%20%5E%20%7B%5Cfrac%20%7Bn%7D%20%7Bn%7D%7D%20%3D%20a)
Then, the expression is:

Answer:
Option D
Answer:
See the proof below
Step-by-step explanation:
For this case we need to proof the following identity:

We need to begin with the definition of tangent:

So we can replace into our formula and we got:
(1)
We have the following identities useful for this case:


If we apply the identities into our equation (1) we got:
(2)
Now we can divide the numerator and denominato from expression (2) by
and we got this:

And simplifying we got:

And this identity is satisfied for all:

Basically, the equator is like the x-axis of the world and the prime meridian is like the y-axis. You locate places by distances from these lines.