Answer:
The absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).
Step-by-step explanation:
Considering the absolute value equation

To find the x coordinate of the vertex, set the inside of the absolute value
equal to zero.
In this case,

Replace the variable x with 5 back into the equation and solve for y.



Therefore, the absolute value vertex is (5, 10). Please check that graph is also attached for the absolute equation with vertex (5, 10).
Keywords: absolute value function, vertex
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Answer:
The first occurence of t for which x = 0 is t = 0.5.
Step-by-step explanation:
The harmonic motion is described by the following equation.

What is the first occurrence of a value of t for which x = 0?
This is t when
. So




The inverse of the cosine is the arcosine. So we apply the arcosine function to both sides of the equality.





The first occurence of t for which x = 0 is t = 0.5.
Answer:
162
Step-by-step explanation:
6*7= 42. 42*2 = 84.
6*3=18. 18*2 = 36
7*3=21. 21*2 = 42.
84+36+42= 162
I think it's B because it's a right angle and it's 90 + 25 =125 hope this helps,