Bryan has 180 feet of fencing. he use the wall for one side of fencing
So he has to fence only 3 sides
he has to fence bottom side + left side+ right side of the wall
Let x be the width of the garden
Let y be the length
Perimeter of the garden = length + width + width
180 = y +x +x
180 = y+2x
so y = 180 - 2x
(a) Area of rectangle = Length * width
Area = y * x
Area = (180 -2x)* x
so area of the garden = -2x^2 +180x
(b)To find dimension to create largest are we find x coordinate of the vertex
formula is 
a= -2 and b = +180
So width = 45
We know length y = 180 - 2x= 180 - 2(45) = 90
Dimension with greatest area is
Length = 90 feet
width = 45 feet
(c) Greatest area = length * width
= 90 * 45 = 4050 square feet
Answer:
The area under the curve y = f(x) at x-axis, on the interval x E (5, ∞) is equal to 7.
Step-by-step explanation:
Solution
Given that:
f(x) = 7√x-5
The function of domain is:
D = x-5 > 0
x>5
so,
x← (5, ∞)
Now,
(1) The sequence root function is always known as positive, i.p defined from x E (5, ∞)
i.p =√x-5
Thus,
7/√x-5 >0
Therefore f(x) = 7/√√x-5 which is a positive integer, which is defined in domain x E (5, ∞).
Each value exist a real and unique values of f(x)
Now,
The function f(x) is continuous and over the interval(5, ∞)
Note: Kindly find an attached copy of part to the solution of this given question below
Answer: x=\pi n,\:x=\frac{\pi }{4}+\pi n
Step-by-step explanation:
Answer:
(a) 36.36%
(b) 0.36%
(c) 0.06%
Step-by-step explanation:
Given that the time intervals measured with a stopwatch have an uncertainty of about 0.2 s.
We want to know what is the percent uncertainty of a hand-timed measurement of:
(a) 5.5 s
Percentage = (0.2/5.5) × 100
≈ 36.36%
(b) 55 s
Percentage = (0.2/55)×100
≈ 0.36%
(c) 5.5 min
5.5 min = 5.5 × 60 s
= 330 s
Percentage = (0.2/330)×100
≈ 0.06%
Answer:
B) y = -3x+2
Step-by-step explanation:
plug (2,-4) and -3 into y = mx + b to find 'b'
-4 = -3(2) + b
b = -4+6 = 2
