For this case we have that by definition, the area of a circle is given by:

Where:
r: It is the radius of the circle
According to the data of the statement we have that the circle has a radius of 
Substituting in the formula we have:

So, the area of the circle is
feet squared
Answer:
Option D
Answer:Your left hand side evaluates to:
m+(−1)mn+(−1)m+(−1)mnp
and your right hand side evaluates to:
m+(−1)mn+(−1)m+np
After eliminating the common terms:
m+(−1)mn from both sides, we are left with showing:
(−1)m+(−1)mnp=(−1)m+np
If p=0, both sides are clearly equal, so assume p≠0, and we can (by cancellation) simply prove:
(−1)(−1)mn=(−1)n.
It should be clear that if m is even, we have equality (both sides are (−1)n), so we are down to the case where m is odd. In this case:
(−1)(−1)mn=(−1)−n=1(−1)n
Multiplying both sides by (−1)n then yields:
1=(−1)2n=[(−1)n]2 which is always true, no matter what n is
Answer:
4 points additional
Step-by-step explanation:
12 = <em>p</em><em> </em>+ 8
-8 - 8
__________
4 = <em>p</em>
I am joyous to assist you anytime.
Answer:
Option (4)
Step-by-step explanation:
From the graph attached,
A, B and C are the points based at the heights and valleys of the given curve.
y-coordinates of these points always decide, whether the point is a local maxima or local minima.
y-coordinate of A → -4
y-coordinate of B → 0
y-coordinate of C → -4
Ends of the curve are moving towards infinity, so the absolute maximum is not defined.
Local minimum → -4
Local maximum → 0
Therefore, point representing local maximum is B(0, 0).
Points representing local minimum are A(-2, -4) and C(2, -4).
Option (4) will be the correct option.
Answer:
Your answer is D. center of rotation!
Step-by-step explanation:
A rotation is a transformation in a plane that turns every point of a figure through a specified angle and direction about a fixed point. The fixed point is called the center of rotation . The amount of rotation is called the angle of rotation and it is measured in degrees.