How do you make these diagrams??
1 answer:
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Answer:
2500 Square meters
Step-by-step explanation:
Given the garden area (as a function of its width) as:
The maximum possible area occurs when we maximize the area. To do this, we take the derivative, set it equal to zero and solve for w.
A'(w)=-2w+100
-2w+100=0
-2w=-100
w=50 meters
Since Marquise has 200 meters of fencing to build a rectangular garden,
Perimeter of the proposed garden=200 meters
Perimeter=2(l+w)
2(l+50)=200
2l+100=200
2l=200-100=100
l=50 meters
The dimensions that will yield the maximum area are therefore:
Length =50 meters
Width=50 meters
Maximum Area Possible =50 X 50 =<u>2500 square meters.</u>
The y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
<h3>What is a straight line?</h3>A straight line is a combination of endless points joined on both sides of the point.
We have two points:
A(-4, -7), and B(12, 5)
Let's assume A(x1, y1) and B(x2, y2)
The ratio is 1:3 = m:n
Let's assume the y-coordinate is a
From the section formula:
a = -4
Thus, the y-coordinate of c is -4 if the Point c partitions line segment AB in the ratio of 1:3.
Learn more about the straight line here:
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