Question 1:
By definition, euler's formula is given by:
C + V = A + 2
Where,
C: number of faces
V: number of vertices
A: number of edges
Substituting values we have:
21 + V = 49 + 2
Clearing V we have:
V = 49 + 2-21
V = 30
Answer:
the missing number is:
A. 30
Question 2:
The volume of the cube is:
V1 = L1 ^ 3 = 512
The volume of the new cube is:
V2 = L2 ^ 3 = 3375
V2 = (kL1) ^ 3 = 3375
V2 = k ^ 3 (L1) ^ 3 = 3375
V2 = k ^ 3V1 = 3375
Therefore, the scale factor will be:
k ^ 3 = V1 / V2
k ^ 3 = 512/3375
k = (512/3375) ^ (1/3)
k = 8/15
Answer:
the scale factor of a cube with a volume of 512m ^ 3 to a cube with a volume of 3,375 m * 3 is:
A. 8:15
Transforming equation systems into matrix form is fairly simple:
each column represents a variable, and each line represents an equation.
So in the first column, the NUMBERS MULTIPLYING by the X variables are put, in the second one the ones multiplying by Y, etc. The constants go after the vertical line, the last column
so we have:

So in a matrix, it will be the one on the picture
F(5) = 21
look on the table and find where x=5 on the top row, the number that is with it is 21
f(x) = 7
x=6
look on the table and find where f(x)=7 on the bottom row, the number with it is 6
I like chocolate as well as you