Answer:
Only natural numbers (i.e., non-negative integers) can be the exponents of variables in a polynomial.
Step-by-step explanation:
The exponent of variables in a polynomial should be natural numbers (
,
,
,
,
.)
is equal to
. In this expression,
is the variable. Its exponent is
, which isn't a natural number.
- On the other hand,
is equivalent to
. The exponent of variable
is
, which is indeed a natural number.
isn't a polynomial because the exponent of variable
isn't a natural number. On the other hand,
is indeed a polynomial over the set of real numbers.
Let the three numbers be x, y, and z.
If the sum of the three numbers is 3, then x+y+z=3
If subtracting the second number from the sum of the first and third numbers gives 9, then x+z-y=9
If subtracting the third number from the sum of the first and second numbers gives -5, then x+y-z=-5
This forms the system of equations:
[1] x+y+z=3
[2] x-y+z=9
[3] x+y-z=-5
First, to find y, let's take do [1]-[2]:
x+y+z=3
-x+y-z=-9
2y=-6
y=-3
Then, to find z, let's do [1]-[3]:
x+y+z=3
-x+-y+z=5
2z=8
z=4
Now that you have y and z, plug them into [1] to find x:
x+y+z=3
x-3+4=3
x=2
So the three numbers are 2,-3, and 4.
Answer:
x = 4.47
Step-by-step explanation:
Formula for hypotenuse:





I wanna say it’s d because of the way it’s set up, i hope this helps if not i’m really really sorry
Answer:
h = 4cm
Step-by-step explanation:
Diameter = 18cm
Radius = Diameter/2 = 18/2 = 9cm
V = 1/3*pi*r^2*h
We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.
So,
108 pi = 1/3*pi*9^2*h
108 pi = (81pi*h)/3
multiply 3 from both side
108pi*3 = (81pi*h)/3 *3
324pi = 81pi*h
Now divide the 81pi from both side
324pi/81pi = (81pi*h)/81pi
4 = h
So the height is 4cm