Answer:
3÷2
Step-by-step explanation:
First let the required no. be 'x'.
By question,
(2÷3)+2x=3x-(5÷6)
or,(2+6x)÷3=(18x-5)÷6
or,2+6x=(18x-5)÷2
or,4+12x=18-5
or,x=9÷6
Therefore, x=3÷2
The largest possible volume of the given box is; 96.28 ft³
<h3>How to maximize volume of a box?</h3>
Let b be the length and the width of the base (length and width are the same since the base is square).
Let h be the height of the box.
The surface area of the box is;
S = b² + 4bh
We are given S = 100 ft². Thus;
b² + 4bh = 100
h = (100 - b²)/4b
Volume of the box in terms of b will be;
V(b) = b²h = b² * (100 - b²)/4b
V(b) = 25b - b³/4
The volume is maximum when dV/db = 0. Thus;
dV/db = 25 - 3b²/4
25 - 3b²/4 = 0
√(100/3) = b
b = 5.77 ft
Thus;
h = (100 - (√(100/3)²)/4(5.77)
h = 2.8885 ft
Thus;
Largest volume = [√(100/3)]² * 2.8885
Largest Volume = 96.28 ft³
Read more about Maximizing Volume at; brainly.com/question/1869299
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The segment connecting a point on the preimage is equal to the segment connecting the point with its corresponding point on the image. Hence the relationship between the line of reflection is B. perpendicular bisector. It is not necessarily perpendicular as there are axis of symmetry that are not linear or 180 degrees
Answer:
Step-by-step explanation:
OMG!!!!! why don't you just SAY YOU WANT a BLEEPING REFLECTION!!!
I had to search through a slew of your questions to get clues as to what to do.
To reflect over the x axis, just negate the y term and leave the x term as it is.
M becomes (2, -1)
N becomes (-3, -1)
P becomes (-1, -4)
