Question 524827: Gavin Royse needs a layout of his yard. He is doing some landscaping and needs to have a grid of his yard for the landscape workers to use when putting in his fence and the two new trees that he bought. His house sits on an angle on the lot, which measures 80 feet by 80 feet. The boundaries of his house are described by the four equations below.
3x-4y=55
3x+2y=85
3x-4y=-125
3x+2y=175
The house faces southwest.
The fence will run from the farthest north corner of the house to 5, 80 and then run along the north lot line to the corner of the lot 80, 80. It will then head south on the lot line to 80, 30. From there it will angle toward the house to 55,5 and then head to the farthest east corner of the house.
A shade tree will be placed at the intersection of 3x-4y=55 and x+3y=170, while an ornamental tree will be placed 15 feet south of the west corner of the house.
Prepare a graph for the landscape workers to use as a guide. Follow these steps to organize your data.
· Determine how to set up the graph and its scale
· Construct a colorful and detailed graph that Gavin could give to the landscaper workers.
· Create the system of inequalities that describes Gavin’s fenced area.
· Determine the vertices of the house.
· Determine the vertices of the two trees.
Write a detailed description for the workers of the work that needs to be done and the area where the work is to be done.
Answer by solver91311(24713)   (Show Source):
You can put this solution on YOUR website!
This is a place to get a little bit of help with your math. It is not a place to get someone to do your entire project for free. If you have a question about a concept, ask it. Otherwise, go away.
John
My calculator said it, I believe it, that settles it
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