Answer:
5) x = -1
6) x = 2
Step-by-step explanation:
5) 5 + 2x + 6 = x + 10
2x + 11 = x + 10
2x + 1 = x
1 = -x
-1 = x
6) (9x + 7) + (-3x + 20) = 39
6x + 27 = 39
6x = 12
x = 2
Answer:
The equation that represents the new path is y=(1/3)x+4
Step-by-step explanation:
step 1
Find the slope of the give line
we have
y=-3x-6
so
the slope m is equal to
m=-3
step 2
Find the slope of the perpendicular line to the given line
Remember that
If two lines are perpendicular, then their slopes are opposite reciprocal of each other
so
we have
m=-3 -----> slope of the given line
therefore
The slope of the perpendicular line is equal to
m=1/3
step 3
With m=1/3 and the point (-3,3) find the equation of the line
y-y1=m(x-x1)
substitute
y-3=(1/3)(x+3)
y=(1/3)x+1+3
y=(1/3)x+4 -----> equation that represent the new path
If the diameter is 1/2 mile, that is 0.5 mile, then the radius is 0.25 -half of it!
the angular speed is theta/time, which means
w=theta/time
but another formula for it is Velocity*radians
w=velocity*radians
velocity is 180 mph and radians are (revolution/2

radius), that is:
w=180*(1/2

*0.25)
and if we calculate this, we have: w=114.59, which is the correct answer!
Answer:
<u>Option A:</u>

Explanation:
The revenue, R(x) is the product of the number of teams who entered the tournament, T(x), times the entry fee paid by each team, F(x); then you can write:
Thus you must multiply the two functions (polynomials):
Use distributive property:

Simplify:

Add like terms:

Answer:
144+27y
Step-by-step explanation:
3x3(4x4+3y)
9(16+3y)
144+27y