Hello,
The answer is B
Hope this helped :)
A = -16 b = 0 c = 541
Use the quadratic formula which is
x = [-b +- sq root (b^2 -4*a*c)] / 2*a
x = [-0 +-sq root (0 -4*-16*541)] / 2 * -16
x = + - sq root (0 -4*-16*541) / -32
x = + - sq root (34,624) / -32
x = + - 186.075 / -32
x1 = 186.075 / -32 =
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-5.81484375
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x2 = -186.075 / -32 =
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5.81484375
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Area of the canvas: 96 = 2 · W² + 2 · W L,
where W is the width and L is the length of a back and a top side. Two square sides have area W².
2 W L = 96 - 2 W² /:2
W L = 48 - W²
L = ( 48 - W² ) / W.
The inside volume of the shelter:
V = L · W · W = L · W²
V = W² · ( 48 - W² ) / W ;
V = 48 W - W³
We have to find the derivative:
V ` = 48 - 3 W²
48 - 3 W² = 0 ( for V max. )
3 W² = 48
W² = 48 : 3
W² = 16; W = √16; W = 4 ft.
L = ( 48 - 16 ) / 4 = 32 / 4 = 8 ft.
Answer: The length of the shelter for which the volume inside is maximized is 8 ft.
Answer:
1. <AOB and <XOZ are vert. <'s 1. Given
m<AOB = 80 m<XOZ = 6x+5
2. m<AOB = m<XOZ 2. Vertical <'s are congruent
3. 80 = 6x+5 3. Substitution
4. 75 = 6x 4. Subtraction Property of equality
5. 12.5 = x 5. Division Property of equality
Step-by-step explanation: