Given △ABC with a 2+ b 2= c 2 , write a two-column proof of the Converse of the Pythagorean Theorem.
1 answer:
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Let time be x distance be y
- 140x=y-(1)
- 290x=360-y-(2)
Put value in eq(2)
Put it in eq(1)
- d=1.2(140)=168m
Answer:
Step-by-step explanation:
Let
x----> the length of the rectangular garden
y---> the width of the rectangular garden
we know that
The perimeter of the rectangle is equal to
we have
so
simplify
------> 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 is the maximum area
The x-coordinate of the vertex is the length side of the rectangle that maximize the area
using a graphing tool
The vertex is the point
see the attached figure
so
Find the value of y
The garden is a square
the area is equal to
----> is equal to the y-coordinate of the vertex is correct
