Answer:
a) We get 
So, Is the result of A+B is a polynomial:Yes
b) We get 
So, Is the result of A-B is a polynomial:Yes
c) We get 
So, Is the result of A.B is a polynomial:Yes
Step-by-step explanation:
We are giving the polynomial equations:

We need to find
a) A+B

So, we get 
So, Is the result of A+B is a polynomial:Yes
b) A-B

So, we get 
So, Is the result of A-B is a polynomial:Yes
c) A . B

So, we get 
So, Is the result of A.B is a polynomial:Yes
Answer:
-k
Step-by-step explanation:
- It's like saying what is 7-6
- so the answer is -k or -1k
<span>2x+14y=-108
</span><span>63x+14y= 14 (multiply the second equation by 7 and subtract)
_____________
-61x=-122
x=-122/-61
x=2
2(2)+14y=-108
4+14y=-108
14y=-112
y=-112/14
y=-8
</span>
Answer:
1577.20 ft³
Step-by-step explanation:
Cube of length = 12 ft = a
Hole diameter which is cutout = 4 ft = d
Hole radius which is cutout = 4/2 =2 ft = r
Volume of the cube = a³
⇒Volume of the cube = a×a×a
⇒Volume of the cube = 12×12×12
⇒Volume of the cube = 1728 ft³
The hole cut out will be in the shape of a cylinder
Volume of cylinder = πr²h
⇒Volume of cylinder = π×2²×12
⇒Volume of cylinder = 150.79 ft³
Now volume of the solid figure with hole cut out is
Volume of the cube - Volume of cylinder
=1728 - 150.79
=1577.20 ft³
∴ Volume of solid figure not including hole cutout is 1577.20 ft³