C=1 because you are flipping it over the line so it cant be negative
The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:

Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet


Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:

Thus angular velocity is 16 radians per second
Answer:
{y≥1
,{y-x>0
Step-by-step explanation:
First of all you have to consider the shaded region. It is bound by two lines.
The first line is a solid line that cuts the y-axis at +1. it's equation is y = 1. since the shade region is on the upper side where y values increase, the unequivocally will be y≥1. notice that the sign ≥ is due to the solid line which indicates points on the solid line are part of the solution.
the second line is the broken line. it passes through the origin (0,0) and (1,1) any two points can be taken. the gradient is 1. m= (y1-y2)/(x1-x2) = (0-1)/(0-1)=(-1/-1)= 1. the equation of a straight line is
y=mx + c where m is gradient and c is the VA)ue of y as the line crosses the y axis ( y-intercept) which in this case is 0 at (0,0).so the equation will be y=1(x) + 0
y=x if we subtract x from both sides we have
y-x=0
since the shaded region is on the upper side as y-x increases the in equality will be
y-x>0 notice since the line is broken it shall be just > not≥ because points on a broken line are not included in the shaded region.
Answer:
$30.03
Step-by-step explanation:
To find what 9% of 33 is we need to divide 9% by 1
9% ÷ 1 = 2.97
33 - 2.97 = 30.03
Answer:
Quotient: x^(2)-6
Reminder: 7
Step-by-step explanation:
See the attached image.