Answer:
Check.
Step-by-step explanation:
To prove it we need to know that for two matrices A and B we have that:
det(AB) = det(A)*det(B) and 
. Now:
.
Answer:
1018 cm
Step-by-step explanation:
A=piR^2
To find the radius from circumference, we divide by pi and then divide by two.
C=36pi
36pi/pi=36
36/2=18
R=18
if we plug 18 into
A=piR^2,
we get
18pi^2=A
18pi^2=1017.88
round this to get 1018
A=1018
Answer: 3 seconds
We are given the following function:
(1)
Where:
is the time the ball is in the air
the initial upward velocity
the initial height of the ball
is the final height of the ball. If no one catches it, this will be <u>zero</u>
So, equation (1) changes to:
(2)
Substituting the known values:
(3)
This is a quadratic equation in the form 
. In order to find we can use the quadratic formula for the roots:
(4)
Where 
, 
and 
Substituting this values in (4):
(5)
(6)
(7)
For 
:
(8)>>>> This result does not work for us because is negative
For 
:
(9)>>>This is the result
Therefore:
<h2> If no one catches the ball, it will be 3 s in the air</h2>
Answer:
The unit rate is 15 feet per second.
Answer:
C
Step-by-step explanation:
A and B are examples of direct variations because there is a nonzero constant k in each such that y=kx. A's k=1/12 while B's k=12.
D is not a direct or inverse variation because of the plus/minus constant.
C is an inverse variation because it has form y=k/x where k is nonzero. This k=12.
