Marisol bought a rug that is 8 feet long and 5 feet wide what is the area of the rug
2 answers:
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Answer:
Rabbit is faster than bear.
Step-by-step explanation:
Speed of rabbit or bear is determined by their rate of change of their distances with time.
The distance covered by rabbit in hours is given as:
The above equation is of the form , where,
is the rate of change of
with
.
Therefore, the rate of change of rabbit's distance with time is 30 mi/h.
Now, from the graph, the slope is given as the rise over run.
Rise is 50 miles and run is 2 miles.
So, rate of change of bear's distance with time is,
Now, 30 is greater than 25. So, rabbit is faster than bear.
Answer:
1250
Step-by-step explanation:
We are given that the playground is fenced on three sides of the playground and the four side has an existing wall.
Let the length of the rectangle be 'X' feet and width be 'Y' feet.
As the fencing is done using 100 feet of fence. We get the relation between the sides and the fence as, X + 2Y = 100.
As, X + 2Y = 100 → X = 100 - 2Y
Now, the area of the rectangle = XY = X × ( 100 - 2Y ).
i.e Area of the rectangle = .
The general form of a quadratic equation is .
The maximum value of a quadratic equation is given by .
Therefore, the greatest value of is at Y =
=
= 25.
Thus, Y = 25 and X = 100 - 2Y → X = 100 - 2 × 25 → X = 50.
Hence, the area of the rectangle is XY = 50 × 25 = 1250 .