In the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
<h3>What is simple harmonic motion?</h3>
Simple Harmonic Motion is described as a motion in which the restoring force is proportionate to the body's displacement from its mean position.
We have:
Amplitude A = 6 cm
Time period = 8 seconds
T = 2π/w
8 = 2π/w
w = π/4
Its displacement d from rest is -6 cm, and initially, it moves in a positive direction.
d(0) = -6 cm at t = 0
The equation becomes:
Thus, in the equation model, the simple harmonic motion is d=6sin(πt/4)-6 if the object moves in simple harmonic motion with a period of 8 seconds and amplitude of 6 cm.
Learn more about the simple harmonic motion here:
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To solve this using the vertical line test, graph the points then see if any of them fall on the same vertical line (vertical lines run up and down), or in other words, see if any point is right above another. If there are any like this, then the graph is not a function. To graph the points from a t-chart, use one x-value, and the y-value right next to (or above it) as one point. For example, the first x-value is -3 and the first y-value is -4. Put these together as the first point: (-3, -4).
Basically, since both fractions have a like denominator, you just have to add across, but if the denominators were different, you'd have to to do more work. and it's the same without the denominators because all you're really doing is just crossing them out and adding across.
Answer:
The equation that represents circle C is 
.
Step-by-step explanation:
A circle is the set of all points in the plane which maintains a fixed finite distance <em>r</em> from a fixed point <em>O = (a, b)</em>. Here <em>O</em> is called the center, and <em>r</em> is called the radius of that circle.
The standard equation for a circle with center (a, b) and radius <em>r</em> is
We are told that the center of this circle is (-2, 10), so
We are also told that the circle contains the point (10, 5), so we will use that information to find the radius <em>r.</em>
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Therefore, the equation that represents circle C is
Step-by-step explanation:
of course the answer is linear
