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**mathstudent2000****Member**- Registered: 2013-07-26
- Posts: 79

1. Points A and B are in the first quadrant, and O = (0,0) is the origin. (A point is in the first quadrant if both coordinates are positive.) If the slope of \overline{OA} is 1 and the slope of \overline{OB} is 7, and OA = OB, then compute the slope of \overline{AB}.

2. The line y = (3x + 7)/4 intersects the circle x^2 + y^2 = 25 at A and B. Find the length of chord \overline{AB}.

3. The lines y = \frac{5}{12} x and y = \frac{4}{3} x are drawn in the coordinate plane. Find the slope of the line that bisects these lines.

Genius is one percent inspiration and ninety-nine percent perspiration

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,827

Hi;

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**mathstudent2000****Member**- Registered: 2013-07-26
- Posts: 79

Thanks i now know how to do 1 and 3 but i still don't really get no. 2, can you please explain how to do it

Genius is one percent inspiration and ninety-nine percent perspiration

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,827

One way would be to substitute the linear equation into the equation of the circle and solve for the points of intersection. Then to use the distance formula. Or you can use geogebra.

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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**mathstudent2000****Member**- Registered: 2013-07-26
- Posts: 79

ok, thanks, i think the easiest is the distance formula one

Genius is one percent inspiration and ninety-nine percent perspiration

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**bobbym****Administrator**- From: Bumpkinland
- Registered: 2009-04-12
- Posts: 102,827

Hi;

Got the answer yet or how far along are you?

**In mathematics, you don't understand things. You just get used to them.****If it ain't broke, fix it until it is.** **A number by itself is useful, but it is far more useful to know how accurate or certain that number is.**

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