ANSWER
4 ft
EXPLANATION
The velocity equation of the oscillating spring is given by the function.
To find the displacement function, we need to to Integrate the velocity function.
At time t=0, there was no displacement.
This implies that,
The displacement function then becomes,
To find the displacement over the first π seconds, we put
into the equation for the displacement to get,
A NONA=9, nonagon has 9 sides, so it's perimeter is 7+7+7+7+7+7+7+7+7, or 63, and we know the apothem.
bearing in mind that the area of a regular polygon is
(1/2)ap a = apothem, p = perimeter
so in this case that'd be (1/2)(5)(63).
If the line segment is perpendicular to a line with the slope of -4, that means the line segment has a slope of 1/4.
First let's make an equation for the line segment using the slope of 1/4 and the point at (2,6) to find the final piece, the y-intercept
y = mx + b
6 = 1/4(2) + b
6 = 2/4 + b
24/4 = 2/4 + b
22/4 = b
y = 1/4 x + 22/4
6 = 1/4(2) + 22/4
6 = 2/4 + 22/4
6 = 24/4
6 = 6 <-- proves that this equation is correct
Now you may plug in the x to find y. ( 8 , y )
y = 1/4(8) + 22/4
y = 8/4 + 22/4
y = 30/4 = 15/2 = 7.5
