Answer:
20
Step-by-step explanation:
using pythagorean theorem to find the hypotenuse gives √20, so the measure of the side of the square is also √20, square that to give the area of square, which is 20
Answer: the first one
Step-by-step explanation: just trust me ;)
Answer:
If there are N students, the total cost will be:
C(N) = $500 + $5*N.
And we want the amount that each student pays to be equal or less than $15.
then:
C(N)/N ≤ $15.
Then the inequality that represents this situation is:
($500 + $5*N)/N ≤ $15.
Now, let's solve this:
($500 + $5*N) ≤ $15*N
$500 ≤ $15*N - $5*N
$500 ≤ $10*N
$500/$10 ≤ N
50 ≤ N
So the minimum number of students needed is 50.
Answer:

Step-by-step explanation:
Let be
, this expression is simplified by algebraic and trascendental means. As first step, the second order polynomial is simplified. Its roots are determined by the Quadratic Formula, that is to say:


The polynomial in factorized form is:

The function can be rewritten and simplified as follows:
![f(x,y) = \log_{4} [(x-5-\sqrt{25-6\cdot y})\cdot (x-5+\sqrt{25-6\cdot y})]](https://tex.z-dn.net/?f=f%28x%2Cy%29%20%3D%20%5Clog_%7B4%7D%20%5B%28x-5-%5Csqrt%7B25-6%5Ccdot%20y%7D%29%5Ccdot%20%28x-5%2B%5Csqrt%7B25-6%5Ccdot%20y%7D%29%5D)
