Answer:
Step-by-step explanation:
In order to solve this we can start by drawing a sketch of the problem (see attached picture)
So fist, let's take the general form of a sinusoidal movement:
where:
A= amplitude
= angular frequency
x= time
= horizontal shift
b= vertical shift.
In this case, the amplitude will be the maximum distance between the center of the wheel and the highest or lowest point of the trajectory, in this case:
A= 13in - 0.5in =12.5 in
The angular frequency is how many radians the wheel will turn in a minute, so we get:
Generally, the sin function will start at the center of the circular movement. In this case, since it starts on the lowest point, we can say that the graph moves right by 
, so in this case:
and finally, the vertical shift is the distance between the center of the circular movement and the ground so in this case:
b=13in
so when putting it all together we get our equation to be:
It would be 147.6 because you multiply 9 time 16.4
Answer:
M=-1 B=(0.-4)
Step-by-step explanation:
Answer:
x-intercepts: (2,0), (4,0)
y-intercepts: (0,-8)
Explanation:
To find the x intercept(s), you must compute where y=0. So solve 0= -x^2 + 6x - 8. So, the x intercepts are: (2,0) and (4,0) since the solutions to the mentioned equation are x=2 and x=4. To find the y intercept(s) compute what is y when x=0. In this case, when x=0, y=-8. So the only y intercept is (0,-8).
we are given equation of line
Equation of perpendicular line:
Firstly , we will find slope of line
we can compare it with
y=mx+b
we get
we know that
slope of perpendicular line will be -1/m
so, slope is
It passes through point (-4,5)
so, we can use point slope form of line
we get
..........Answer
Equation of parallel line:
Firstly , we will find slope of line
we can compare it with
y=mx+b
we get
we know that
slope of parallel line always equal
so, slope is
It passes through point (-4,-5)
so, we can use point slope form of line
we get
............Answer
