Answer:
because 4 quarters make a dollar
Step-by-step explanation:
Answer:
A: they are equal in length to the sides of the base
Step-by-step explanation:
Answer:
a) the common difference is 20
b) 
c) the common difference is -13
d) 
Step-by-step explanation:
a) what is the common difference of the sequence xn
Looking at the table, we get x_3=16, x_4=36 and x_5= 56
Deterring the common difference by subtracting x_4 from x_3 we get
36-16 =20
So, the common difference is 20
b) what is x_8? what is x_12
The formula used is: 
We know common difference d= 20, we need to find 
Using
we can find 

So, We have 
Now finding 

So, 
Now finding 

So, 
c) what is the common difference of the sequence 
Looking at the table, we get a_7=104, a_8=91 and a_9= 78
Deterring the common difference by subtracting a_7 from a_8 we get
91-104 =-13
So, the common difference is -13
d) what is a_12? what is a_15?
The formula used is: 
We know common difference d= -13, we need to find 
Using
we can find 

So, We have 
Now finding
, put n=12

So, 
Now finding
, put n=15

So, 
The answer for 378 x 9 = 3402
Answer:
Step-by-step explanation:
Given infinite system of linear equations is ax + by = 0
when (a,b) moves along unit circle in plane.
a) system having unique system (0, 0)
Since two of equation in thus system will be

and

It is clear that x = 0, y= 0 is the only solution
b) Linear independent solution in this system gives some set of solutions

and

Vector form is
![\left[\begin{array}{ccc}1&0\\0&1\end{array}\right] =I](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7D1%260%5C%5C0%261%5Cend%7Barray%7D%5Cright%5D%20%3DI)
c) for this equation if add 0x +0y = 0 to system , Nothing will change
Because [0,0] satisfies that equation
d) If one of the equation is ax + by = 0.00001
where 0.00001 is small positive number
so, the system will be inconsistent
Therefore, the system will have no solution.