Answer: 45 ft
Explanation:
Let
x = width of the pigpen
x + 15 = length of the pigpen (since the length is 15 ft longer than the width)
Since the pigpen is enclosed in a rectangle, the total length of the fence is equal to the perimeter of the pigpen. Moreover, since the farmer can't afford more than 150 ft of fencing, the total length of the fence is less than or equal to 150 ft. So, the perimeter of the pigpen is less than or equal to 150.
Since the pigpen is rectangular
Perimeter = 2[(length) + (width)]
= 2[(x + 15) + x]
= 2(2x + 15)
Perimeter = 4x +30 (1)
Since the perimeter is less than or equal to 150, using equation (1),
4x + 30 ≤ 150
4x + 30 - 30 ≤ 150 - 30
4x ≤ 120
x ≤ 30 (divide both sides by 4)
Hence,
length = x + 15 ≤ 30 + 15 = 45
So, the length cannot be more than 45 ft. Therefore, the greatest possible length is 45 ft.
Of course not.
' f(x) ' is the description of a function,and ' g(x) ' is the description of
a function. There are an infinite number of different possible functions,
so f(x) and g(x) are usually not the same one.
f(x) is equal to g(x) for any 'x' only when the two descriptions are the
same function. Otherwise f(x) is equal to g(x) only at the points where
their graphs intersect.
Answer:
x = -1
Step-by-step explanation:
combine like terms on both sides (like terms refers to the variable, x in this case) so
3x + 7 = 11x + 15
then get x terms to one side and non-x terms to the other
this gives you: 7 - 15 = 11x - 3x
-8 = 8x
dived both sides by 8 (since its the constant with x) which gives you
x = -1
hope I could help ( I messed up at first but I fixed it)
Trapezoid has only 1 pair of parallel