Answer:
E: (2, -1)
F: (3, -1)
G: (3, -2)
H: (2, -2)
Step-by-step explanation:
Reflect all coordinates over an x-axis
Because you are reflection 180 degrees over the x axis, the y-axis is going to stay the same (because you are not moving the square left or right. When reflecting over axis always add the same amount you took away from the other side, if that makes any sense.
Refer to the diagram shown below.
The volume of the container is 10 m³, therefore
x*2x*h = 10
2x²h = 10
h = 5/x² (1)
The base area is 2x² m².
The cost is $10 per m², therefore the cost of the base is
(2x²)*($10) = 20x²
The area of the sides is
2hx + 2(2xh) = 6hx = 6x*(5/x²) = 30/x m²
The cost is $6 per m², therefore the cost of the sides is
(30/x)*($6) = 180/x
The total cost is
C = 20x² + 180/x
The minimum cost is determined by C' = 0.
That is,
40x - 180/x² = 0
x³ = 180/40 = 4.5
x = 1.651
The second derivative of C is
C'' = 40 + 360/x³
C''(1.651) = 120 >0, so x = 1.651 m yields the minimum cost.
The total cost is
C = 20(1.651)² + 180/1.651 = $163.54
Answer: $163.54
In order to find out the answer , you just need to count :
Let's say that mary's collection is symbolized by x
2/3 x = 4h
x = 3/2 . 4h
x = 6h
The storybooks they have in total would be : 6h + 4h = 10 h
hope this helps
That's easy 327 <span>÷ 36 is 9.083</span>