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# if the equation |x|+ |y| = 5 encloses a certain region on

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if the equation |x|+ |y| = 5 encloses a certain region on [#permalink]

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09 Nov 2007, 09:50
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

1. if the equation |x|+ |y| = 5 encloses a certain region on the graph, what is the area of that region?

2. if the equation |2|+ |y| = 5 encloses a certain region on the graph, what is the maximum area of that region?

3. if the equation |2|+ |y| = 5 encloses a certain region on the graph, what is the minimum area of that region?

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Re: area of an absolute equation [#permalink]

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09 Nov 2007, 11:20
bmwhype2 wrote:
1. if the equation |x|+ |y| = 5 encloses a certain region on the graph, what is the area of that region?

This equation shows that max and min value for x or y are 5 and -5. With this, there are four points that will form a square on a graph. Thos points are (0,5),(5,0),(0,-5),(-5,0). From there, I just solved for the Area of the triangle formed in one quadrant and mulitiplied by 4.

Area(square) = 4(1/2)(5)(5) = 50

bmwhype2 wrote:
2. if the equation |2|+ |y| = 5 encloses a certain region on the graph, what is the maximum area of that region?

3. if the equation |2|+ |y| = 5 encloses a certain region on the graph, what is the minimum area of that region?

I don't think this is the right equation.
CEO
Joined: 21 Jan 2007
Posts: 2756
Location: New York City
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Kudos [?]: 853 [0], given: 4

Re: area of an absolute equation [#permalink]

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09 Nov 2007, 11:30
emoryhopeful wrote:
bmwhype2 wrote:
1. if the equation |x|+ |y| = 5 encloses a certain region on the graph, what is the area of that region?

This equation shows that max and min value for x or y are 5 and -5. With this, there are four points that will form a square on a graph. Thos points are (0,5),(5,0),(0,-5),(-5,0). From there, I just solved for the Area of the triangle formed in one quadrant and mulitiplied by 4.

Area(square) = 4(1/2)(5)(5) = 50

bmwhype2 wrote:
2. if the equation |2|+ |y| = 5 encloses a certain region on the graph, what is the maximum area of that region?

3. if the equation |2|+ |y| = 5 encloses a certain region on the graph, what is the minimum area of that region?

I don't think this is the right equation.

i made the last two up. they are solveable. It's infinity.
Re: area of an absolute equation   [#permalink] 09 Nov 2007, 11:30
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