Why is an elephant big gray and wrinkled
2 answers:
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Let
A(4,0)
B(12,5)
C(20,10)
we know that
The x-intercept of the line is the value of x when the value of y is equal to zero
The y-intercept of the line is the value of y when the value of x is equal to zero
The point A(4,0) is the x-intercept of the line
<u>Find the slope AB</u>
m=(y2-y1)/(x2-x1)
mAB=(5-0)/(12-4)--------> mAB=5/8
<u>with the slope m and the point A(4,0) find the equation of the line</u>
y-y1=m*(x-x1)----------> y-0=(5/8)*(x-4)-------> y=(5/8)x-2.5-----> y=0.625x-2.5
<u>Find the y-intercept</u>
For x=0
y=0.625*0-2.5---------> y=-2.5
the y-intercept is the point (0,-2.5)
therefore
<u>the answer is</u>
the x-intercept is the point (4,0)
the y-intercept is the point (0,-2.5)
see the attached figure to better understand the problem
Answer:
a) n<1 and n>5
b) 0 < n < -4
c) n > 2 and n < -2
Step-by-step explanation:
The signal is given by x[n] = 0 for n < -1 and n > 3
The problem asks us to determine the values of n for which it's guaranteed to be zero.
a) x[n-2]
We know that n -2 must be less than -1 or greater than 3.
Therefore we're going to write down our inequalities and solve for n
Therefore for n<1 and n>5 x [n-2] will be zero
b) x [n+ 3]
Similarly, n + 3 must be less than -1 or greater than 3
Therefore for n< -4 and n>0, in other words, for 0 < n < -4 x[n-2] will be zero
c)x [-n + 1]
Similarly, -n+1 must be less than -1 or greater than 3
Therefore, for n > 2 and n < -2 x[-n+1] will be zero