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  • Universal of a square
    Let and be left -modules. We say that is a universal of the square diagram if whenever we have another diagram there exist a unique homomorphism such that the following diagram commutes We want to show that the universal is...
  • Solution of MMM#38
    MMM #38: Prove or disprove: The product of any four consecutive integers is always one less than a perfect square. Don’t assume the integers are all positive. Any four consecutive integers can be written as . The product of these...
  • New Installation : Latex on Blogger/Blogspot
    This is the updated procedure of how to install latex on your Blogger. What’s New? The script located in a more stable location (in google server) rather than using watchmath.com server (which sometimes down for some unknown reason). New script,...
  • Solution to Worksheet 9 (Lines)
    Find the slope of the line through and 1. 2. Find an equation of the line that satisfies the given conditions. 3. Through ; slope 1 4. Through and 5. Slope 3; y-intercept -2 6. Through ; parallel to the...
  • Worksheet 5 (Inequalities) Solution
    Solve the linear inequality. Express the solution using interval notation. 1.
  • Worked Problems (Another Type Equations)
    Find all real solutions of the equation. 1. 2. 3. 4. 5. 6. 7. 8. 9. 10.
  • Worked Problems (Quadratic Equations)
    Factor the following trinomials 1. 2. 3. Write the following equations in the form (for example the equation can be written as ) 4. 5. Find all real solutions to the equation. 6. 7. 8. 9. 10. A rectangular bedroom...
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PostHeaderIcon How To Use Distance Formula

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Given two points and on the plane, the distance between these two points is the length of the line segment connecting the two points. By using the Pythagorean's theorem one can derived that the distance between the two points is given by

The videos below will demonstrate how to derive this formula as well how to apply this formula


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PostHeaderIcon How To Find Midpoint of a Line Segment

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 Given the coordinates of the end points of a line segment, say and , the coordinates of the midpoint of the segment can be calculated by taking average of the and coordinated of the two points, i.e. .

Here are some videos to demonstrate how to use this formula.


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