Answer:
Step-by-step explanation:
The equation of a circle in standard form:
(h, k) - center
r - radius
We have the endpoints of the diameter: (-1, 6) and (5, -4).
Midpoint of diameter is a center of a circle.
The formula of a midpoint:
Substitute:
The center is in (2, 1).
The radius length is equal to the distance between the center of the circle and the endpoint of the diameter.
The formula of a distance between two points:
Substitute the coordinates of the points (2, 1) and (5, -4):
Finally we have:
Step-by-step explanation:
The particle is at rest when the derivative of x(t), which is its velocity, is zero, i.e.,
![\dfrac{d}{dt}[x(t)] = \dot{x}(t) = 0](https://tex.z-dn.net/?f=%5Cdfrac%7Bd%7D%7Bdt%7D%5Bx%28t%29%5D%20%3D%20%5Cdot%7Bx%7D%28t%29%20%3D%200)
Since 
its derivative is
Equating this to zero, we get
This is a familiar quadratic equation whose roots are
This means that the particle will be at rest at t = 3 and t= 4.
Step-by-step explanation:
so easy lol u didn't know so lame lol I'm just messing with ya
Answer: it will take them 2.22 hours working together.
Step-by-step explanation:
It takes Destiny y 4 hours to file all the daily paperwork. This means that unit rate of Destiny would be
1/4 per hour.
It takes Susan 5 hours to file the same paperwork. This means that unit rate of Susan would be
1/5 per hour.
If they work together, they would work at their own individual rates. This means that their individual rates are additive.
Let t represent the time it will take them if they worked together. Since their combined rate is additive Therefore,
1/4 + 1/5 = 1/t
9/20 = 1/t
t = 20/9 = 2.22 hours
The variable I=f(w) represents the number of individuals (in thousands) infected w weeks after the epidemic begins.
The value of I=f(2) represents the number of individuals in thousandas infected 2 weeks after the beginning of the epidemic.
From the graph, where I=8, we can conclude that there are 8,000 infected people after 2 weeks of the beginning of the epidemic.
Answer:
f(2) = 8
Means 8,000 people are infected after 2 weeks of the beginning of the epidemic.
