Answer:
A(max) = (9/2)*L² ft²
Dimensions:
x = 3*L feet
y = (3/2)*L ft
Step-by-step explanation:
Let call "x" and " y " sides of the rectangle. The side x is parallel to the wall of the house then
Area of the rectangle is
A(r) = x*y
And total length of fence available is 6*L f , and we will use the wall as one x side then, perimeter of the rectangle which is 2x + 2y becomes x + 2*y
Then
6*L = x + 2* y ⇒ y = ( 6*L - x ) /2
And the area as function of x is
A(x) = x* ( 6*L - x )/2
A(x) = ( 6*L*x - x² ) /2
Taking derivatives on both sides of the equation we get:
A´(x) = 1/2 ( 6*L - 2*x )
A´(x) = 0 ⇒ 1/2( 6*L - 2*x ) = 0
6*L - 2*x = 0
-2*x = - 6*L
x = 3*L feet
And
y = ( 6*L - x ) /2 ⇒ y = ( 6*L - 3*L )/ 2
y = ( 3/2)*L feet
And area maximum is:
A(max) = 3*L * 3/2*L
A(max) = (9/2)*L² f²
Answer: Second option
Explanation: As u can see the fraction is being multiplied 3 times.
Answer:
okay so
it would be: A
but read the step by step explanation !
Step-by-step explanation:
f+8<12
you would rewrite it as
f+8= 12
thats what it practically says
so you would minus 8 from 12 to get A, which is four . its a matter of simple subtraction . it can be confusing with the signs
Answer:
Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
3, –6, 12, –24, 48, …
f (n + 1) = –3 f(n )
f (n + 1) = 3 f(n )
f (n + 1) = –2 f(n )
f (n + 1) = 2 f(n)
Step-by-step explanation:
Answer:
180°, ∠4, ∠5
Step-by-step explanation:
∠1+∠2+∠3 = 180° because, as seen, their sum makes a straight angle. (on the transversal E)
∠2 is equal to ∠4 because of the Alternate Interior Angles theorem
∠1 is equal to ∠5 because of the Corresponding Angles theorem