Answer:
Step-by-step explanation:
Let r be the radius of the semicircle, then 2r is the width of the rectangle. Let y be the length of the rectangle. The perimeter of the window consists of two lengths, one width and length of semicircle, then
Express y:
The area of the window is
Substitute y into the area expression:
Find the derivative A':
Equate A' to 0:
When 
then 
and the function A is increasing, when 
then 
and the function A is decreasing. This means that at point the function A takes it maximal value (the area is maximal).
Answer:
A
Step-by-step explanation:
A. Y= 4/3x + -6
B. 4/3x + -1y = 6
2=6* 4/3+b
2=8+b
-6=b
9514 1404 393
Answer:
D. 9
Step-by-step explanation:
The segment lengths are equal, so ...
x^2 = 90-x
x^2 +x -90 = 0 . . . . . . add x-90 to put in standard form
(x +10)(x -9) = 0 . . . . . factor
The solutions are the values of x that make the factors zero: -10, 9.
The positive value of x is 9.
For this case, we observe that the four options represent the steps to build a line similar to the PQ line segment.
We have then that the first step is:
Opening of the compass from P to Q to measure the length of the PQ line.
Answer:
An image that represents the first step in constructing the copy of a line segment is:
option 1
