10 PTS!!!! PLEASE HELP ALGEBRA 1 MATH
1 answer:
Parallel lines will always have the same SLOPE. In the case of this equation, the slope is 
since 
is the same as 
and the coefficient of is the slope. Because there is no 
, the graph of the equation will NEVER intercept the y-axis. Therefore, whatever answer option does not have is correct.
Answer: C.
Here's the graph to help you visualize:
Answer: C.
Here's the graph to help you visualize:
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Answer:
A) C1 = 0.00187 m = 0.187 cm, C2 = 0.0062 m = 0.62 cm
B) A sample of how the graph looks like is attached below ( periodic sine wave )
C) w = is when the amplitude of the forced response is maximum
Step-by-step explanation:
Given data :
mass = 5kg
length of spring = 10 cm = 0.1 m
f(t) = 10sin(t) N
viscous force = 2 N
speed of mass = 4 cm/s = 0.04 m/s
initial velocity = 3 cm/s = 0.03 m/s
Formulating initial value problem
y = viscous force / speed = 2 N / 0.04 m/s = 50 N sec/m
spring constant = mg/ Length of spring = (5 * 9.8) / 0.1 = 490 N/m
f(t) = 10sin(t/2) N
using the initial conditions of u(0) = 0 m and u"(0) = 0.03 m/s to express the equation of motion
the equation of motion = 5u" + 50u' + 490u = 10sin(t/2)
A) finding the solution of the initial value
attached below is the solution and
B) attached is a periodic sine wave replica of how the grapgh of the steady state solution looks like
C attached below
Step 1: Find the slope.
Step 2: Find the value of b.
Step 3: Get the y=mx+b
Step 2: Find the value of b.
Step 3: Get the y=mx+b