Determine which rectangle was transformed to result in rectangle E
2 answers:
Answer:
Rectangle C
Step-by-step explanation:
Rectangle C was transformed to Rectangle E.
To see how this occurs, let's follow point F (-2, 5) through the two transformations.
(a) Reflection across the x-axis
The x-coordinate does not change, but the y-coordinate changes sign.
Thus, F ⟶ F' (-2, -5).
(b) Translating up two units
The x-coordinate does not change, but the y-coordinate increases by 2..
Thus, F' ⟶ F" (-2, -3).
You can follow the same transformations for the other three corners of rectangle C.
Rectangle C ⟶ Rectangle E
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Answer:
(B)
Step-by-step explanation:
Volume of fluid in the tank =1000 gallons
Initial Amount of Salt in the tank, A(0)= 30 pounds
Incoming brine solution of concentration 2 pounds of salt per gallon is pumped in at a rate of 4 gallons per minute.
Rate In=(concentration of salt in inflow)(input rate of brine)
The resulting mixture is pumped out at the same rate, therefore:
Rate Out =(concentration of salt in outflow)(output rate of brine)
Therefore:
The rate of change of amount of salt in the tank,