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
.
1 = 51
2= 61
3= 29
Step-by-step explanation:
1) 61+68= 129
180-129= 51
2) 61 is across it so they have the same number
3) 61 +90= 151
180-151= 29
Answer:
The correct answer is b.
Step-by-step explanation:
The wave equation is given generally as:
c(x, t) = Acos(kx - wt)
Where A = amplitude
k = wave number
w = angular frequency.
x = horizontal distance moves by the wave.
t = time
The options show to us that the wave depends only on t and not (x, t).
Hence, the wave equation becomes:
c(t) = Acos(wt)
Given that:
A = 5 V
f = 1 * 10⁶ Hz
Angular Frequency, w, is given as:
w = 2πf
w = 2 * π * 1 * 10⁶ Hz
w = 2π(1 * 10⁶)
The wave equation becomes:
c(t) = 5cos(2*π*1*10⁶)
The correct answer is b.
The range is all real numbers.
The function given simplifies to just f(x) = 4x.
This is just a straight line that is increasing from left to right. If we reflect the line over the x-axis, it is still a line that goes on forever in each direction.
Therefore, the range will be all real numbers.
Since the product of the slope is -1, hence the lines are perpendicular
<h3>Parallel and Perpendicular lines</h3>
Two lines are known to be parallel if they have the same slope while if two lines are perpendicular if the product of the slope is -1
Given the coordinates of line 1 passing through (0, 6) and (6, 4), the slope is given as;
Slope = 4-6/6-0
Slope = -2/6
Slope = -1/3
Similarly for the coordinate points (-1, -7) and (1, -1).
Slope = -1+7/1+1
Slope of line 2 = 6/2
Slope = 3
Take the product of the slopes
Slope = -1/3 * 3
slope = -1
Since the product of the slope is -1, hence the lines are perpendicular
Learn more on parallel and perpendicular lines here: brainly.com/question/25429151
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