Answer: (0,3)
Step-by-step explanation:
You follow the formulas to find the x and y of the dividing points.
Xp= x1+ a/a+b (x2-x1)
Xp= 10+5/5+3(-6-10)
Xp=10+5/8(-16)
Solve the problem above and you end up with “0” as your x.
Yp= y1+ a/a+b (y2-y1)
Yp= -2+ 5/8 (6+2)
Yp= -2+ 5/8 (8)
Solve this problem above and you end up with “3” as your y. Therefore, the point that divides the line segment between (10, -2) and (-6,6) into a ratio of 5:3 is (0, 3).
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 Pythagorean theorem is the square of the length hypotenuse side of a right triangle equals the sum of the squares of the lengths of the other 2 sides. <span />
The cost of dryer is $450 and the cost of washer is $412
