Answer:
y = -1/2x + 0
y = mx+b
Step-by-step explanation:
Answer:
Cartesian Coordinate System
• Also called
rectangular coordinate
system
• x- and y- axes intersect
at the origin
• Points are labeled (x,y)
Polar Coordinate System
– Origin and reference
line are noted
– Point is distance r from
the origin in the
direction of angle θ,
ccw from reference
line
– Points are labeled (r,θ)
Cartesian to Polar Coordinates
• r is the hypotenuse and θ
an angle
θ must be ccw from
positive x axis for these
equations to be vali
Step-by-step explanation:
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
Answer:
18" X 18" X 36"
Step-by-step explanation:
Given a square base container of height h, let a side of the base =s
The volume of the container, 
If the sum of its height and girth (the perimeter of its base) equals 108 in
Substituting h=108-4s into V
We are required to determine the maximum volume of such container, first we take the derivative:
Optimizing:
Recall that: h = 108-4s
The dimensions of the carton are 18" X 18" X 36".
Step-by-step explanation:
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