Answer:

Step by step explanation:
![\text{Given that, two roots are}~ -4~ \text{and}~ 4i.\\\\\text{Let,}\\\\~~~~~~~x = 4i\\\\\implies x^2 = 16i^2~~~~~~~;[\text{Square on both sides}]\\\\\implies x^2 = -16~~~~~~~~;[i^2 = -1]\\\\\implies x^2 +16 = 0\\\\\text{So,}~ x^2 +16~ \text{ is a factor of the 3 degree polynomial}.\\ \\ \text{The polynomial is ,}\\\\ f(x) = (x+4)(x^2 +16)\\\\~~~~~~~=x^3 +16x +4x^2 +64\\\\~~~~~~~=x^3 +4x^2 +16x +64](https://tex.z-dn.net/?f=%5Ctext%7BGiven%20that%2C%20%20two%20roots%20are%7D~%20-4~%20%5Ctext%7Band%7D~%20%204i.%5C%5C%5C%5C%5Ctext%7BLet%2C%7D%5C%5C%5C%5C~~~~~~~x%20%3D%204i%5C%5C%5C%5C%5Cimplies%20%20x%5E2%20%3D%2016i%5E2~~~~~~~%3B%5B%5Ctext%7BSquare%20on%20both%20sides%7D%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%3D%20-16~~~~~~~~%3B%5Bi%5E2%20%3D%20-1%5D%5C%5C%5C%5C%5Cimplies%20x%5E2%20%2B16%20%3D%200%5C%5C%5C%5C%5Ctext%7BSo%2C%7D~%20x%5E2%20%2B16~%20%5Ctext%7B%20is%20a%20factor%20of%20the%203%20degree%20polynomial%7D.%5C%5C%20%5C%5C%20%5Ctext%7BThe%20polynomial%20is%20%2C%7D%5C%5C%5C%5C%20f%28x%29%20%3D%20%28x%2B4%29%28x%5E2%20%2B16%29%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B16x%20%2B4x%5E2%20%2B64%5C%5C%5C%5C~~~~~~~%3Dx%5E3%20%2B4x%5E2%20%2B16x%20%2B64)
Use phytagorean theorem to solve the problem
c² = a² + b²
with c as hypotenuse, a and b are the two sides which are perpendicular to each other.
Plug the numbers into the formula
c² = a² + b²
c² = (46.3)² + 39²
c² = 2,143.69 + 1,521
c² = 3,664.69
c = √3,664.69
c = 60.53668..
to the nearest hundredth
c = 60.54
The length of the hypotenuse is 60.54 m
Answer:
For this case we have this function given:

In order to find the domain we need to find the possible values of x that the function can assume.
And we know that for this case the logarithm for 0 or neagtive numbers is not possible to calculate it, so then we can say that the domain for this case is:

And we can write this in formal notation as:
![D = [ X \in R | X>0]](https://tex.z-dn.net/?f=%20D%20%3D%20%5B%20X%20%5Cin%20R%20%7C%20X%3E0%5D)
And the best answer for this case would be:
all real numbers greater than 0
Step-by-step explanation:
For this case we have this function given:

In order to find the domain we need to find the possible values of x that the function can assume.
And we know that for this case the logarithm for 0 or neagtive numbers is not possible to calculate it, so then we can say that the domain for this case is:

And we can write this in formal notation as:
![D = [ X \in R | X>0]](https://tex.z-dn.net/?f=%20D%20%3D%20%5B%20X%20%5Cin%20R%20%7C%20X%3E0%5D)
And the best answer for this case would be:
all real numbers greater than 0
The reciprocal for 73 is <span>0.01369863013</span>
Answer:
5(4-1)
Step-by-step explanation:
5(4-1)
20-5
5x4= 20
5x1= 5