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Answer:
(x -2)^2 + (y +4)^2 = 18
Step-by-step explanation:
To find the constant the expression is equal to, fill in the coordinates of the given point and do the arithmetic.
(-1 -2)^2 +(-1+4)^2 = 9 + 9 = 18
The equation of the circle is ...
(x -2)^2 + (y +4)^2 = 18
Dozen = 12
2 dozen
2x12=24
7/8 of 24
24 / 8 = 3
3 x 7 = 21
24- 21= 3
3 roses are left over
Answer:
100 meters per hour.
Step-by-step explanation:
7,200 seconds / 60 = 120 minutes
120 minutes / 60 = 2 hours
200 meters / 2 hours = 100 meters
Since the squirrel moved 200 meters in 2 hours, the squirrel moved 100 metres per hour.
Answer:
The water level is dropping at a rate of 0.24 ft/s
Step-by-step explanation:
Here, we simply want to calculate the change in depth (height of the cone) , given the volume change
Mathematically, we have the volume of a cone as;
V = 1/3 * π * r^2 * h
we are given dv/dt as 12 ft^3/m
dv/dh = 1/3 * π * r^2
Substituting the value for the radius, we have
dv/dh = 1/3 * 22/7 * 4^2 = 50.29
dh/dt = dh/dv * dv/dt
dh/dv = 1/(dv/dh) = 1/50.29
Thus,
dh/dt = 1/50.29 * 12
dh/dt = 0.24 ft/s
