Diego scored nine points less than Andre in the basketball team Noah scored twice as many points as Diego if Noah scored 10 poin
2 answers:
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Answer:
Step-by-step explanation:
∛(27a⁻⁶b³c²)
To simplify, first apply the cube root the each of the terms. Keep in mind this rule:
∛27 = 3 (because 3*3*3 = 27)
∛a⁻⁶ = =
=
∛b³ = =
= b
∛c² =
∛(27a⁻⁶b³c²)
=
Simplified form generally follows these rules:
No negative exponents
No fraction exponents
Keep in fractional form
Reduce numerical values
Answer:
The length and width of the plot that will maximize the area of the rectangular plot are 54 ft and 27 ft respectively.
Step-by-step explanation:
Given that,
The length of fencing of the rectangular plot is = 108 ft.
Let the longer side of the rectangular plot be x which is also the side along the river side and the width of the rectangular plot be y.
Since the fence along the river does not need.
So the total perimeter of the rectangle is =2(x+y) -x
=2x+2y-y
=x+2y
So,
x+2y =108
⇒x=108 -2y
Then the area of the rectangle plot is A = xy
A=xy
⇒A= (108-2y)y
⇒ A = 108y-2y²
A = 108y-2y²
Differentiating with respect to x
A'= 108 -4y
Again differentiating with respect to x
A''= -4
For maximum or minimum, A'=0
108 -4y=0
⇒4y=108
⇒y=27.
Since at y= 27, A''<0
So, at y=27 ft , the area of the rectangular plot maximum.
Then x= (108-2.27)
=54 ft.
The length and width of the plot that will maximize the area of the rectangular plot are 54 ft and 27 ft respectively.