If the inequality symbol is ≤ or ≥ , then the region includes the parabola, so it should be graphed with a solid line. Otherwise, if the inequality symbol is < or > , the parabola should be drawn with a dotted line to indicate that the region does not include its boundary. Example: Graph the quadratic inequality.
Answer:
First one
Step-by-step explanation:
5sin(3pix)+8=4
5sin(3pix) = -4
sin(3pi x) = -0.8
Basic angle: sin^-1(0.8) = 0.927295218
3pi x = pi+0.927295218, 2pi-0.927295218
3pi x = 4.068887872, 5.355890089, 4.068887872 + 2pi, 5.355890089 + 2pi, 4.068887872 + 4pi, 5.355890089 + 4pi,
x = above values/3pi
x = 0.43217, 0.568, 1.0984, 1.235, 1.765, 1.9016
Answer:
Step-by-step explanation:
see the attached figure to better understand the problem
we know that
The points S,A and M are collinear because they lie on a straight line. Using addition of segments we get
The midpoint of a line segment divides the line segment into two congruent parts
If A is the midpoint of SM
then
therefore
The equations that satisfy the fact are
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.
Answer:
y = -5x + 21
Step-by-step explanation:
The perpendicular slope is opposite of the inverse. The inverse of 1/5 is 5/1, and the opposite of that is -5/1.
So m = -5.
Then use point-slope form:
y + 4 = -5 (x - 5)
If you wish, convert to slope-intercept form:
y + 4 = -5x + 25
y = -5x + 21