Point B lies between points A and C on Line segment A C . Let x represent the length of segment AB in inches. The length of line
1 answer:
You might be interested in
The equation to find the air pressure (P(h)) at a height above sea level (h) is given by
Where,
- P(h) is the new pressure at height h
is the air pressure at sea level, and
- h is the height (measured in meters).
We want to know the new pressure that is 65% of . So we should substitute
in P(h) (new pressure) to get the equation:
. Answer choice B is the correct one.
ANSWER: B
I suppose
The vectors that span form a basis for
if they are (1) linearly independent and (2) any vector in
can be expressed as a linear combination of those vectors (i.e. they span
).
- Independence:
Compute the Wronskian determinant:
The determinant is non-zero, so the vectors are linearly independent. For this reason, we also know the dimension of is 3.
- Span:
Write an arbitrary vector in as
. Then the given vectors span
if there is always a choice of scalars
such that
which is equivalent to the system
The coefficient matrix is non-singular, so it has an inverse. Multiplying both sides by that inverse gives
so the vectors do span .
The vectors comprising form a basis for it because they are linearly independent.