Tannis's first machine could throw a car 272727 meters. She studied her first machine and built a better one. Her second machine could throw a car 777 times as far. How far does the second machine throw a car?

The rate of change of the distance between the cars at that instant is 5.46 meters per second

Step-by-step explanation:

Speed of first car = 7 m/s

Speed of second car = 3 m/s

At instant, distance of first car from intersection = 5 meters

distance of second car from intersection = 12 meters

Therefore, we have

Distance between both cars at intant = √(12² + 5²) = 13 m

Rate of change of distance is given by;

2ddd/dt = d(x² + y²)/dt = 2xdx/dt + 2ydy/dt

= 26dd/dt = 2×5×7 + 2×12×3 = 142

dd/dt = 142/26 = 5.46 m/s.

That is the rate of change of the distance between the cars at that instant = 5.46 meters per second.

a = 11 : 4

b = 38

c = 1 for every 6

maximum area = xy = (16)(32) = 512 ft2

to maximize the area of the garden, the side of the fence parallel to the side of the house should be 32 ft long, and the other two sides should both have length 16 ft.'

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