Answer:
*Note c could be written as a/b
Step-by-step explanation:
-sin(-t - 8 π) + cos(-t - 2 π) + tan(-t - 5 π)
The identities I'm about to apply:
Let's apply the difference identities to all three terms:
We are about to use that cos(even*pi) is 1 and sin(even*pi) is 0 so tan(odd*pi)=0:
Cleaning up the algebra:
Cleaning up more algebra:
Applying that sine and tangent is odd while cosine is even. That is,
sin(-x)=-sin(x) and tan(-x)=-tan(x) while cos(-x)=cos(x):
Making the substitution the problem wanted us to:
Just for fun you could have wrote c as a/b too since tangent=sine/cosine.
Answer:
Step-by-step explanation:
If we're asked to use any positive value. It means we could have a wide variety of answer. A positive value of k that makes the equation 20k to be less than 20, yet greater than zero has to be any decimal value or a fraction, if you so wish.
As an example, if k is 0.5. Then we have
20k = 20 * 0.5 = 10, which is less than 20 and greater than zero
Again, if k is 0.9. Then we have
20k = 20 * 0.9 = 18, which is less than 20 and greater than zero.
So, you use any decimal number greater than 0, yet less than 1
Given:
D=165 feet and the frequency of the motion is 1.6 revolutions per minute.
Solution:
The radius is half of the diameter.
The radius of the wheel is 82.5 feet.
As we know:
Substitute the value of T in the above formula.
If the center of the wheel is at the origin then for the rest position is .
This can be written as:
The actual height of the rider from the ground is:
The required equation is .
Answer:
Step-by-step explanation:
If RS is the diameter of the circle, then the midpoint of RS will be the center of the circle.
Equation of a circle:
(where (h, k) is the center and r is the radius)
Substituting found center (-2, 2) into the equation of a circle:
To find , simply substitute one of the points into the equation and solve:
Therefore, the equation of the circle is:
Answer
Which form most quickly reveals the y-intercept? Answer is B
What is the y-intercept? Answer is 24
Step-by-step explanation:
It is pretty simple. For the first question, you have standard form, factored form and vertex form. With factored form you have all the quadratic equation in the form ax²+bx+c making the y = g(x) simple to understand.
For the second one, we know that y-intercept is when the slope crosses the y-axis. So we know that our slope must have x equal to 0 and you substitute 0 to x...