Not necessarily.
and
may be linearly dependent, so that their span forms a subspace of
that does not contain every vector in
.
For example, we could have
and
. Any vector
of the form
, where
, is impossible to obtain as a linear combination of these
and
, since
unless
and
.
The answer to number 23 is D, 49.
Answer:
He would walk 10 miles in 5 hours, and it would take him 2 hours to walk 4 miles.
Step-by-step explanation:
1/3 of 45 is 15.
So 45-15= 30.
1/5 of 30 is 6.
So 30-6=24.
There are 24 houses left to be sold.
Answer:
x = 21
Step-by-step explanation:
Givens:
Every triangle's interior angles add up to 180°
The triangle has a right angle.
The triangle is isosceles (two equal sides and two equal angles)
Let's make an equation with the information we have already.
2 × (2x + 3) + 90 = 180
4x + 6 + 90 = 180
4x + 96 = 180
4x = 84
x = 21
