12=2(q-7) Solve for q
2 answers:
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Answer:
- Set the larger number as x
"<em>A number, y, is equal to the difference of a larger number and 3.</em>"
<u>You can rearrange this equation to find the matching answer choice:</u>
"<em>The same number is one third of the sum of the larger number and 9.</em>"
<u>You can rearrange this equation to find the matching answer choice:</u>
Answer:
The set is linearly dependent for every value of h.
Step-by-step explanation:
Recall that a set of vector {a,b,c,d} is a linearly dependent set of vectors if any of the vectors can be written as a linear combination of the other ones.
We are given the following vectors.a=(-1,4,6), b=(5,2,-3), c=(3,-5,-4), d=(12,-20, h). At first, we will check if a,b,c are linearly independent. To do so, we will calculate the following determinant (the procedure of the calculation is omitted).
Since the determinant is not zero, this implies that the vectors a,b,c are all linearly independent. Since a,b,c are all vectors in which is a 3-dimensional space, and they are 3 linear independent vectors, then they are automatically a base of this space. Consider now the vector d. Since {a,b,c} is a base of
, then it generates any vector of this space(i.e any other vector of the space is a linear combination of {a,b,c}). In particular, d. So the set {a,b,c,d} is linearly independent for any value of h
C
a ratio of 5 : 5 simplifies to 1 : 1, which basically means we require the midpoint of the line segment
using the midpoint formula
M = [ (0 + 20 ),
(15 + 0)] = (10, 7.5 )