Answer:
To find the GCF of the two terms, continuous division must be done.
What can be used to divide both terms such that there is not a remainder?
Start small, let's take 2. It could be a GCF.
Move up higher, say 3. Yes, it can be a GCF.
To see if there might be a greater common factor, divide the constants by 3.
48/3 = 16
81/3 = 27
Upon inspection and contemplation, there is no more common factor between 16 and 27. So, 3 is the GCF.
Moving on, when it comes to variables. The variable with the least exponents is easily the GCF. For the variable m, the GCF is m2 and for n, the GCF is n.
Combining the three, we have the overall GCF = 3m2n
also the third one or c
Answer: b
Step-by-step explanation:
The answer is b because both sides of the table start with zero and both sides of the table have a continues pattern the y side(right). They are increasing by a set # of points(3).
I AM NOT POSITVE ABOUT THE ANSWER, BUT IF I HAD TO GUESS- B WOULD BE THE ANSWER! sorry if its wrong!
(1/2) / (1/4) = 1 / x......1/2 wall to 1/4 hr = 1 whole wall to x hrs
cross multiply
(1/2)(x) = (1/4)(1)
1/2x = 1/4
x = 1/4 * 2
x = 2/4 reduces to 1/2....so it will take 1/2 hr (or 30 minutes) to paint the whole wall.
Yes, the set of vectors
V = {(x, y, z) : x - 2y + 3z = 0}
is indeed a vector space.
Let u = (x, y, z) and v = (r, s, t) be any two vectors in V. Then
x - 2y + 3z = 0
and
r - 2s + 3t = 0
Their vector sum is
u + v = (x + r, y + s, z + t)
We need to show that u + v also belongs to V - in other words, V is closed under summation. This is a matter of showing that the coordinates of u + v satisfy the condition on all vectors of V:
(x + r) - 2 (y + s) + 3 (s + t) = (x - 2y + 3z) + (r - 2s + 3t) = 0 + 0 = 0
Then V is indeed closed under summation.
Scaling any vector v by a constant c gives
cv = (cx, cy, cz)
We also need to show that cv belongs to V - that V is closed under scalar multiplication. We have
cx - 2cy + 3cz = c (x - 2y + 3z) = 0c = 0
so V is need closed under scalar multiplication.
Answer:
The commutative property of multiplication states that the numbers of the operation can change their order, and this action will not alter the outcome.
Example 1:
Changing the order of the numbers in the operation:
Example 2:
Changing the order of the numbers in the operation:
