Answer:
A.-
D.
E.
Step-by-step explanation:
Like terms must have the same variable, in this case x, and the same exponent, in this case 2. Since the original term is 
, the like terms will be those that contain , regardless of whether their coefficient or sign is different.
Analyzing the options:
A.-
We have the same variable and the same exponent , so it is a like term.
B. 
You have the same variable x but not the same exponent. So it's not a like term of
C.
Same variable 
but as in the previous case, the exponent is different, it is a 3 and it should be a 2, so it is not a similar or like term.
D.
In this option we do have the , so it is a like term of
E.
It is also a like term because it contains the .
In summary the like terms are:
A.-
D.
E.
Let's say:
lengh=x
width=y
"The length of a rectangle is 4 inches greater than the width."
That means: x=y+4 (in inches).
the parameter is (by definition) 2*lenght+2*width.
so we have 2*x+2y=24.
we also know that x=y+4
Substituting:
2*(y+4)+2y=24.
2*y+8+2y=24
4*y+8=24//substitute 8 from both sides
4*y=16//dividing both sides by 4.
y=4
So the width is 4!
The lenght is y+4=8!
the dimensions are 4 by 8.
(check: 2*4+2*8=24, correct!)
Volume of a cylinder: V = π * r² * h,
Base surface area of a cylinder: A_b = 2 * π * r²,
Lateral surface area of a cylinder: A_l = 2 * π * r * h,
Total surface area of a cylinder: A = A_b + A_l,
Longest diagonal of a cylinder: d² = 4 * r² + h²,
Surface-area-to-volume ratio of a cylinder: SA:V = A / V = 2 * (r + h) / (r * h)
I hope this helps you
f(x)=x-12
X=f(x)+12
f^-1(x)=x+12
Answer:
We get 6 x10^7 with a 4dp of 9599
9599
/ \
29 331
Step-by-step explanation:
Rounded to 4dp
64151584.9599
