Answer:
Step-by-step explanation:
GIVEN: A farmer has 
of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is 
.
TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.
SOLUTION:
Let the length of rectangle be 
and 
perimeter of rectangular pen 
area of rectangular pen 
putting value of
to maximize 
but the dimensions must be lesser or equal to than that of barn.
therefore maximum length rectangular pen 
width of rectangular pen 
Maximum area of rectangular pen 
Hence maximum area of rectangular pen is 
and dimensions are
Answer:
B(if the option is 10^7 instead of 107
Step-by-step explanation:
no. of people in New York=19000000
no. of people in Vermont =626,000
difference in populations = 19000000-626,000 =18374000
therefore, the difference in populations is 18374000
(which can also be written as 1.8374x10^7)
Answer: Second option.
Step-by-step explanation:
The slope of a line can be calculated with this formula:
Then, you need to choose two points of the line shown in the graph and substitute them into the formula for calculate the slope:
Let's pick the points (-4,4) and (4,-2).
Substituting:
Simplifiying, you get that the slope of the line in the graph is:
Answer: Clanssa’s team collects m magazines for the recycling drive. JoAnn’s team collects 3 times as many magazines as Clarissa’s team. JoAnn’s team collects a total of 654 magazines.
Answer:
True ( A )
Step-by-step explanation:
4 ( 5 ) - 2 = 2 ( 5 ) + 8
20 - 2 = 10 + 8
18 = 18
This is a correct statement because 18 does equal 18
