Yay, derivitives
I'mma ignore that x is the shorter side because I don't know which one has to be shorter yet
we need to find the max area
but with 3 sides
area=LW
let's say the sides are z and y
zy=area
and the relatiionship between them is
hmm,
z+2y=1200
because one side has no fencing
so
z+2y=1200
solve for z
z=1200-2y
sub for z in other
(1200-2y)(y)=area
expand
1200y-2y²=area
take derivitive
1200-4y=dy/dx area
max is where dy/dx goes from positive to negative
solve for where dy/dx=0
1200-4y=0
1200=4y
300=y
at y<300, dy/dx<0
at y>300, dy/dx>0
so at y=300, that is the max
then
z=1200-2y
z=1200-2(300)
z=1200-600
z=600
so then
z=600
y=300
300<600
so the shorter side would be y
so then we see our choices and noticed that
erm
I think it is f(x)=1200x-2x²
takind the derivitive yeilds none of the others
so ya, you are right
Answer:
The equation, y=3x-5 is in y=mx+b format. The b, or -5 in this case, tells you what the y intercept is, or in this case, your starting point. This means your first point will be at (0,-5). The mx, or 3x in this case, tell us how much to move up and how much to move sideways. 3x is equal to 3/1x and the 3/1 tells us the rise/run. Rise being how much to go up or down and run being how much to go to the left or right. So in 3x, the rise is 3 and the run is 1. So you will go 3 up on the y axis and 1 to the right on the x-axis. So your next point will be (1, -2) and the point after that will be (2, 1) and so on!
hope this helped!
Answer:
12000
Step-by-step explanation:
Done
its a triangle no? just 3D