A = 2 a² + 2 a b
2 a² + 2 a b = 147/2
a² + a b = 36.75
a b = 36.75 - a²
b = ( 36.75 - a² ) / a
V = a² * b
V = a² * ( 36.75 - a² ) / a
V = 36.75 a - a³ ( maximum of the volume is when V` = 0 )
V` = 36.75 - 3 a²
36.75 - 3 a² = 0
3 a² = 36.75
a² = 36.75 : 3
a² = 12.25
a =√12.25
a = 3.5 ft
b = 24.5 / 3.5 = 7 ft.
Answer: The depth of the shelter for which the space inside is maximized is 3.5 ft.
Answer:
y= -3x-5
Step-by-step explanation:
Answer with positive exponent = 
or 
Answer with negative exponent = 
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Explanation:
The rule we use is
If we multiply two exponential expressions with the same base, then we add the exponents.
The base for each is 5. The exponents 4 and -7 add to -3.
This means
To convert to a positive exponent, we apply the reciprocal to the base. We go from 5, aka 5/1, to 1/5.
So, 
(f+g)(x) = x^2 -2x +6x + 4
(f+g)(x) = x^2 + 4x + 4
(f+g)(x) = (x + 2)^2
(x + 2)^2 = 0
x + 2 = 0
x = -2
answer
B. -2
Answer:
Hey there!
x+x+1/4+x+2/4
3x+0.75=6.75
3x=6
x=2
The lines are 2, 2 1/4, and 2 2/4.
Let me know if this helps :)
