9514 1404 393
Answer:
16. k^5/j^3
18. 81y^20
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)(a^c) = a^(b+c)
(a^b)/(a^c) = a^(b-c) . . . . where b may be 0
(a^b)^c = a^(bc)
(ab)^c = (a^c)(b^c)
___
We can simplify the given expressions as follows.
<h3>16.</h3>
__
<h3>18.</h3>
Answer:
4x^2+6x+2
Step-by-step explanation:
The hill describes a right triangle with the position of the cable (the base) = 80ft and makes an angle of 19° with the horizontal.
Let the height of the hill be x.
tan 19° = x/80
x = 80 tan 19° = 27.5462
The height of the hill and the pole = 27 + 27.5462 = 54.5462
The required length of the cable is given by sqrt(80^2 + 54.5462^2) = sqrt(6400 + 2975.2889) = sqrt(9375.2889) = 96.83 feet.
Answer:
Step-by-step explanation:
integer or rational. All rational numbers can be expressed as a fraction. After the division is performed, you get an integer. (-15)
I would answer it is a rational number.