Answer:
Option A and C have rotational symmetry.
Step-by-step explanation:
The graph of odd functions have rotational symmetry about its origin.
Here the first graph is a graph of f(x)=
which is an odd function bearing an exponent of 3.
A function is "odd" when we plug in any negative value in 
then it gives negative of .
And we also know that when a graph is mirroring about the y-axis then it is an even functions.
For even functions we have reflection symmetry rather than rotational symmetry.
The second graph is a graph of 
which is an even function as we can see that its graph is mirroring about the y-axis.
The third graph is a graph of an ellipse which is possessing rotational symmetry.
The order of symmetry of an ellipse is generally 2.
Order of symmetry:
The order of rotational symmetry of an object is how many times that object is rotated and fits on to itself during a full rotation of 360 degrees.
So graph A and C have rotational symmetry.
Answer:
3.4h-2.7d-16
Step-by-step explanation:
Before we even start, we can already simplify some things
For example, in this equation it says +(-7.7d)
We can simplify this to 6h-7.7d-16+5d-2.6h
Now we have to get all of the common variables together
So the d’s and h’s have to be combined together in this equation
This makes a new equation of 3.4h-2.7d-16
That is our answer!
Answer: The answer is $148.00
I hope this helps
Step-by-step explanation:
Differentiate
y = (r² – 9r) · eʳ
with respect to r.
As y is a product of two functions, then use the product rule:
dy d
—— = —— [ (r² – 9r) · eʳ ]
dr dr
dy d d
—— = —— (r² – 9r) · eʳ + (r² – 9r) · —— (eʳ)
dr dr dr
• The derivative of r² – 9r is 2r – 9;
• The derivative of eʳ is eʳ.
Therefore,
dy
—— = (2r – 9) · eʳ + (r² – 9r) · eʳ
dr
dy
—— = [ (2r – 9) + (r² – 9r) ] · eʳ
dr
dy
—— = (r² – 7r – 9) · eʳ <——— this is the answer.
dr
I hope this helps. =)
Answer:
The correct option is III: 4.5 cm.
Step-by-step explanation:
The area of a square is the following:
(1)
Where:
A: is the area
b: is the side of the square
We have that the area is 20 cm², hence by solving equation (1) for <em>b</em> we can find the side:
Therefore, the correct option is III: 4.5 cm.
I hope it helps you!
