Answer:
C) 52 in^3
Step-by-step explanation:
The first is to determine the formula of the volume of the box, which would be the following:
V = height * length * width
Knowing that we have a rectangular piece we will determine the maximum volume, we will double a distance x (which will be the height) in the width and length of the piece, therefore as it is on both sides, the length and width are defined from the Following way:
length = 10 - 2 * x
width = 8 - 2 * x
height = x
Now we calculate the volume:
V = x * (10-2 * x) * (8-2 * x)
To determine the maximum volume we will give values to x in order to see how it behaves:
Let x = 2.5
V = (5) * (3) * (2.5) = 37.5
Let x = 2
V = (6) * (4) * (2) = 48
Let x = 1.5
V = (7) * (5) * (1.5) = 52.5
Let x = 1
V = (8) * (6) * (1) = 48
Let x = 0.5
V = (9) * (7) * (0.5) = 31.5
It can be seen that the greatest volume is obtained when the height is equal to 1.5 and its volume is 52.5 in ^ 3
Answer:
(-3,5)
Step-by-step explanation:
6x+7y=17
-6x+5y=7
2y=10
y=5
6x+5(5)=7
6x+25=7
6x=7-25
6x=-18
x=-3
Answer:
option A.) y-3 = 1/16 (x-2)^2
Step-by-step explanation:
we know that
If the axis of symmetry is parallel to the y-axis, then we have a vertical parabola
The equation of a vertical parabola is equal to
where
(h,k) is the vertex
In this problem we have
(h,k)=(2,3)
p=4
substitute
Answer
5 and a half
Step-by-step explanation:
True or False.
A is true, a line has two points which are the two ends.
