Answer: i believe the answer is 10
Step-by-step explanation:
Well, I'm not completely sure, because I don't know the formal definition
of "corner" in this work. It may not be how I picture a 'corner'.
Here's what I can tell you about the choices:
A). (0, 8)
This is definitely a corner of the feasible region.
It's the point where the first and third constraints cross.
So it's not the answer.
B). (3.5, 0)
This is ON the boundary line between the feasible and non-feasible
regions. But it's not a point where two of the constraints cross, so
to me, it's not what I would call a 'corner'.
C). (8, 0)
Definitely not a corner, no matter how you define a 'corner'.
This point is deep inside the non-feasible zone, and it doesn't
touch any point in the feasible zone.
So tome, this looks like probably the best answer.
D). (5, 3)
This is definitely a corner. It's the point of intersection (the solution)
of the two equations that are the first two constraints.
The feasible region is a triangle.
The three vertices of the triangle are (0,8) (choice-A),
(0,-7) (not a choice), and (5,3) (choice-D) .
region is a triangle
Answer: The answer is 20 inches.
Step-by-step explanation: As given in the question and shown in the attached figure, Keyley drew the rectangle 'R' and square 'S' with equal areas.
Also, the length of Keyley's rectangle 'R' = 8 inches. Let the breadth be 'b' inches. Again, let 'l' be the length of a side of square 'S'.
Then, we must have

Now, the only possible value of b is 2, so that

Thus, the breadth of 'R' is b = 2 inches and side of 'S' = 4 inches.
Therefore, perimeter of Keyley's rectangle 'R' is given by

Thus, the answer is 20 inches.
The value added to the equation
exists
.
<h3>What is a perfect square?</h3>
A perfect square exists as a number that can be described as the product of an integer by itself or as the second exponent of an integer.
The perfect square trinomial exists
±
=
± 2ab + 


then 
The value of a = x and b = 3



The value added to the equation
exists
.
To learn more about perfect square refer to: brainly.com/question/6946048
#SPJ4
Answer:
She has 16 friends
Step-by-step explanation:
40 minus 8 is 32 so that divided by 2 is 16