Let's say that the unknown value here is c. Although we are given two points on the line, it is only necessary to use one as there is only one unknown value, so let's say we choose the point (6, -12) and substitute this into the equation:
-12 = 1(6) - c
-12 - 6 = -c
-18 = -c
c = 18
Thus the equation for the line is y = 1x - 18
Here it is given that the width is x ft and total length of the fence is 2400 ft .
Let the length be y ft
So we have

Let A represents area, and area is the product of length and width .
So we get

Substituting the value of y, we will get

Second part
The area is maximum at the vertex, and vertex is

And

And that's the required dimensions .
Answer:
Second puck travels farther
Step-by-step explanation:
Maximum height of first puck = 3 feet
The height of a second hockey puck is modeled by:


To find maximum height of second puck

Equate the derivative equals to 0
0.15-0.002x=0

75 = x
At x = 75

So, The maximum height of second puck is greater than first puck
So, Second puck travels farther
Answer:
900
Step-by-step explanation:
you just see if by the number, if the number is 6 and up your round over and it would become 950 but the number is lower so you make it 900.
Answer:
PerimeterFigure= pi*DIameter/2= 1.5*pi ft.
Step-by-step explanation:
The perimeter is the length of the figure, since we are dealing with an semi-circle, we can use the perimeter equation for a full circle and divide it by half.
Perimeter= 2pi*R= pi*Diameter.
Since Our figure is a semi circle, as we say earlier, we now will divide the above result by half.
PerimeterFigure= pi*DIameter/2= 1.5*pi ft.