Here is a pattern made from sticks:
1 answer:
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For this case we have that by definition, the equation of a line in the point-slope form is given by:
Where:
m: It is the slope of the line and is a point through which the line passes.
We have the following equation of the slope-intersection form:
Where the slope is
By definition, if two lines are perpendicular then the product of their slopes is -1.
Thus, a perpendicular line will have a slope:
Thus, the equation will be of the form:
Finally we substitute the given point and we have:
Answer:
Option B
Answer:
The maximum area is
Step-by-step explanation:
Let
x----> the length of rectangle
y---> the width of rectangle
we know that
The perimeter of rectangle is equal to
we have
so
------> equation A
Remember that
The area of rectangle is equal to
-----> equation B
substitute equation A in equation B
This is a vertical parabola open downward
The vertex is a maximum
The y-coordinate of the vertex of the graph is the maximum area of the garden and the x-coordinate is the length for the maximum area
using a graphing tool
The vertex is the point
see the attached figure
Find the value of y
----->
The dimensions of the rectangular garden is by
For a maximum area the garden is a square
The maximum area is
