Answer:
1) intersection of both lines is the solution: (-3, 1)
2) y = -1/6x + 1 will produce a perpendicular line and intersect at only one point (slopes of 6 and -1/6 are opposite and reciprocal, thereby producing perpendicular lines)
3) 'b' can be any value except 1
Step-by-step explanation:
Answer:

Step-by-step explanation:
Let consider the following algebraical substitution:


The integral is re-arranged to this form:

After doing some algebraical manipulation, the rational form of this integral is:

The solution of this integral is:

3x+21 or 3x+3(7)
You distribute the 3 to all numbers
Answer:
Billy’s angular velocity, is 1508.16 radians per second
Step-by-step explanation:
We have to find angular velocity in radians per second
we have given angular velocity w = 4 revolutions per minute
we have to convert revolutions into radians and minutes into seconds.
so, we use the following conversion:
1 rev = 2* pi radians (where pi = 22/7 or 3.142)
1 min = 60 sec
putting the values in our equation : w = 4 revolutions per minute
=> w= 4 * ( 2* 3.142) *60
=> w= 1508.16 radians per second
hence Billy’s angular velocity, is 1508.16 radians per second