Answer:
Step-by-step explanation:
we can write -9 instead of x and y=1 instead of 1
so we write solution again
-9a+1b=-31
-9a-1b=-41
-18a=-72
a=4
we should write 4 instead of a
-9(4)+1b=-31
-36+b=-31
b=5
a=4
The multiples of 14 are 1,2,7,14
the multiples of 22 are 1,2,11,22
Therefore 2 is the GCF
The equation x=2t-1 represent the x-coordinate. To get the value of x, substitute t with -1.
That is: x = 2(-1) - 1
= -2-1
= -3
Likewise, the equation y=t∧-3 represent the y-coordinate. Substituting t with -1,
y = (-1)∧-3
= -1
The point that correspond to t=-1 is (-3,-1).
Answer: Option a) 3
Step-by-step explanation:
The formula for calculating combinations is as follows

Where "n" is the amount of items in a set and you can choose "r" from them
3C1 reads as: The combination of 1 in 3. You have a set of 3 elements and choose 1 of them.

So :

Answer:
Formula of the volume for a cube= s^3 (side, length, width, or edge is acceptable for s)
Formula of the volume for a rectangular prism= lwh (length*width*height)
<u><em>= 50 cubic in. more</em></u>
Step-by-step explanation:
cube: 6^3
6x6x6
36x6
216
rectangular prism: 10x4x4
10x16
160
cube - rectangular prism= Difference between cube and rectangular prism
216 - 160 = 50
<em>*REMEMBER that when dealing with volume the units are cubic (whatever), in this case, its cubic inches(in^3).</em>