Answer:
Rectangular area as a function of x : A(x) = 200*x + 2*x²
A(max) = 5000 m²
Dimensions:
x = 50 m
l = 100 m
Step-by-step explanation:
"x" is the length of the perpendicular side to the wall of the rectangular area to be fenced, and we call "l" the other side (parallel to the wall of the barn) then:
A(r) = x* l and the perimeter of the rectangular shape is
P = 2*x + 2*l but we won´t use any fencing material along the wll of the barn therefore
P = 2*x + l ⇒ 200 = 2*x + l ⇒ l = 200 - 2*x (1)
And the rectangular area as a function of x is:
A(x) = x * ( 200 - 2*x) ⇒ A(x) = 200*x + 2*x²
Taking derivatives on both sides of the equation we get:
A´(x) = 200 - 4*x ⇒ A´= 0
Then 200 - 4*x = 0 ⇒ 4*x = 200 ⇒ x = 50 m
We find the l value, plugging the value of x in equation (1)
l = 200 - 2*x ⇒ l = 200 - 2*50 ⇒ l = 100 m
A(max) = 100*50
A(max) = 5000 m²
X/x+9 (original fraction)
x+1/ x+10 = 4/13
x+1=4 so x=3 and x+10=13 so again x=3
now that you have the value of x, substitute it into the original fraction to get:
3/12
Answer:
1/2 or 50%
Step-by-step explanation:
5 are lower than 60
and 5 are =/> 60
Answer:
153.94 inches cubed
Step-by-step explanation:
plug in 7 as the radius
the formula is A = πr^2
Answer:
The slope of a line that is perpendicular to the x-axis is undefined.
Step-by-step explanation:
We know that the x-axis is a horizontal line.
- We also know a line that is perpendicular to the x-axis is basically a vertical line.
- As the slope of a perpendicular line is undefined because no matter what the value of y is, the x-value remains the same.
Therefore, the slope of a line that is perpendicular to the x-axis is undefined.
For example, the slope between (1, 2) and (1, 4) is:
Using the slope formula
Slope = m = [y₂ - y₁] / [x₂ - x₁]
= [4 - 2] / [1 - 1]
= 2 / 0
= ∞
