Answer:
21 square units
Step-by-step explanation:
The sides of the rectangle are aligned with the coordinate grid, so we can easily find its dimensions.
AB lies on the line y = -2, so the horizontal extent is the difference in x-values:
6 - 3 = 3
BC lies on the line x = 6, so the vertical extent is the difference in y-values:
5 -(-2) = 7
The area is the product of these two dimensions:
A = LW = (7)(3) = 21 . . . . square units
The area of the rectangle is 21 square units.
Answer:
x= -11/4 is a maximum.
Step-by-step explanation:
Remember that a function has its critical points where the derivative equal zero. Therefore we need to compute the derivative of this function and find the points where the derivative is zero. Using the chain rule and the product rule we get that
And then we get that if 
then 
. So it has a critical point at .
Now, if the second derivative evaluated at that point is less than 0 then the point is a maximum and if is greater than zero the point is a minimum.
Since
x= -11/4 is a maximum.
Answer:
52 km
Step-by-step explanation:
Given, 5 miles is 8km.
So, 1 mile will be (8/5) km.
Now, 32.5 miles will be (8/5) x 32.5 = 52 km
1/2 would not be a useful benchmark to compare these 2 fractions because both of them are greater than half. The benchmark fraction 1/2 is most useful when one fraction is less than half and the other more than 1/2. 5/8 is more than 4/8(1/2), and 9/10 is more than 5/10(1/2).
