For this question it opens upwards in
Answer:
Step-by-step explanation:
Let the other side of the rectangle be y. The perimeter of the rectangle is expressed as P = 2(x+y)
Given P = 30ft, on substituting P = 30 into the expression;
30 = 2(x+y)
x+y = 15
y = 15-x
Also since the area of the rectangle is xy;
A = xy
Substitute y = 15-x into the area;
A = x(15-x)
A = 15x-x²
The function that models its area A in terms of the length x of one of its sides is A = 15x-x²
The side of length x yields the greatest area when dA/dx = 0
dA/dx = 15-2x
15-2x = 0
-2x = -15
x = -15/-2
x = 7.5 ft
Hence the side length, x that yields the greatest area is 7.5ft.
Since y = 15-x
y = 15-7.5
y = 7.5
Area of the rectangle = 7.5*7.5
Area of the rectangle = 56.25ft²
Answer:
23
Step-by-step explanation:
3(-2)2-2(-2)+7
3(4)-(-4)+7
12+4+7
Answer:
x=100
Step-by-step explanation:
the sum of all 3 angles in a triangle is always 180 so your problem is: 180 - 35 - 45
Answer:
25 miles
Step-by-step explanation:
18 ÷ 72% =
18 ÷ (72 ÷ 100) =
(100 × 18) ÷ 72 =
1,800 ÷ 72 =
25
