P is just a variable in this equation
Find the solutions to the system; y=x^2-3x-1 and y=8x-1
Answer:
Change in area=24
-48
Step-by-step explanation:
Let s will be the side of square and r will be the radius of circle.
Then two given conditions are
1)dr/dt=2 m/s
2)ds/dt=1 m/s
Area enclosed=(Area of square)-(Area of circle)
Area of square=
Area of circle=
Area enclosed=
dA/dt=2
r(dr/dt)-2s(ds/dt)
At s=24,and r=6
dA/dt=2(
)(6)(2)-2(24)(1)
Change in area=24
-48
If we translate the facts into location equations, xM=Mona's location, xL=Lina's location, then we get:
xM(t) = 300t
xL(t) = v*t - 1000
xM(10)=xL(10)
Where v is Lina's speed we have to find.
Plugging them all together gives:
300*10 = 10v - 1000
Which can be solved:
3000 + 1000 = 10v
4000 = 10v
v=400
Lina should skate at 400 feet per minute!