Answer:
b hope this helps and its quick enough
Answer: No, the given transformation T is NOT a linear transformation.
Step-by-step explanation: We are given to determine whether the following transformation T : R² --> R² is a linear transformation or not :
We know that
a transformation T from a vector space U to vector space V is a linear transformation if for ∈U and a, b ∈ R
So, for (x, y), (x', y') ∈ R², and a, b ∈ R, we have
and
Therefore, we get
Thus, the given transformation T is NOT a linear transformation.
Answer:
x = 2 , y = 11
Step-by-step explanation:
the diagonals of a parallelogram bisect each other , then
PT = TR , that is
y = 5x + 1 → (1)
QT = TS , that is
2y = 6x + 10 → (2)
substitute y = 5x + 1 into (2)
2(5x + 1) = 6x + 10
10x + 2 = 6x + 10 ( subtract 6x from both sides )
4x + 2 = 10 ( subtract 2 from both sides )
4x = 8 ( divide both sides by 4 )
x = 2
substitute x = 2 into either of the 2 equations for corresponding value of y
substituting into (1)
y = 5(2) + 1 = 10 + 1 = 11
Answer:
Answer: 216 cm2 (square centimetres , in your question you had to put cm3, cubic centimetres, it's IMPORTANT )
Step-by-step explanation:
A perfect cube by definition has 3 equal dimensions, as an immediate rule: volume and total surface are equal, only the unit of measure changes (cubic for the volume, square for surface).
But let's calculate it anyway:
Volume = Edge * Edge * Edge = length * width * depth = (remember: all edges are equal in this case)
so Edge =
in your example Edge = = 6cm
So the surface of one side is 6*6 = 36
There are 6 sides in total, so the total surface is 6*36 = 216
Note: I call them "edges" but in case of a cube most say just "length"
Answer:
D 5m-40
Step-by-step explanation:
Distribute the 5 to both parts inside parenthesis
5xm+ 5x-8