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
Hope this is what you were looking for:)
Answer:
3/6 then round it
Step-by-step explanation:
Answer:
centre (3 ,-1) , r=9
Explanation:
The standard form of the equation of a circle is.
∣
∣
∣
∣
¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯¯
a
a
(
x
−
a
)
2
+
(
y
−
b
)
2
=
r
2
a
a
∣
∣
−−−−−−−−−−−−−−−−−−−−−−−−−
where (a,b) are the coordinates of the center and r , the radius.
For the given equation: a = 3 , b = -1 and r = 9
hence centre = (3 ,-1) and radius = 9
Step-by-step explanation:
