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# May 15, 2014

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### Transcript

• 1. Today: &#xF0D8;Review Radical Operations &#xF0D8;Distance &amp; Mid-Point Formulas &#xF0D8;Class Work May 15
• 2. Test Review(6) Find the area of the triangle: The square root of the product of two positive numbers equals 6. One number is nine less than the other number. What are the numbers? The numbers are: x = 12, x = 3
• 3. Test Review (6) 15 1560 &#xF02B; = 5
• 4. For high school wrestling competitions, the wrestling mat must be a square with an area of 625 square feet. What is the length of each side of the mat? 25 feet Square Root Applications: x2 + 3x2 = &#x1D7D2;&#x1D7CE; 2
• 5. The Distance Formula There are two different types of problems to solve withe the distance formula. A. All four of the coordinates are known. Solve for the distance. B. Three of four coordinates and the distance is known. Solve for the fourth coordinate.
• 6. Example 1. Find the distance between the two points. (-2,5) and (3,-1) &#x2022; Let (x1,y1) = (-2,5) and (x2,y2) = (3,-1) A. All four of the coordinates are known. Solve for the distance.
• 7. Example 2.
• 8. B. Three of four coordinates and the distance is known. Solve for the fourth coordinate.
• 9. B. Three of four coordinates and the distance is known. Solve for the fourth coordinate.
• 10. MIDPOINT The midpoint of a segment is half way between the x&#x2019;s and half way between the y&#x2019;s You can call it the average 6 10 Midpoint
• 11. To find the midpoint of the line along the x axis.. Add the |beginning coordinate| and the |ending coordinate|, then &#xF7; 2 To find the midpoint of the line along the y axis, find the &#x2018;average&#x2019; y value The average y value of the line segment is... The mid-point is at (0,5) What are the x coordinates of the end points of the line segment? The average x value of the line segment is... What are the y coordinates of the end points of the line segment? The mid-point coordinates are.. (1,0) The mid-point coordinates are...
• 12. Midpoint Formula X + X , Y + Y 2 2
• 13. X1 + X2 2 = XMID Y1 + Y2 2 = YMID What If We Knew The Midpoint Of A Segment And One Endpoint? How Would We Find The Other Endpoint? Think Of The Formula As: Midpoint ( Xmid , Ymid )( X1 , Y1 ) ( X2 , Y2 ) Endpoints
• 14. Given an endpoint ( 3,5 ), and midpoint ( 6, -2 ), find the other endpoint. X1 + X2 2 = XMID Y1 + Y2 2 = YMID Find ( X2 ,Y2 ) 3 + X2 = 6 12 5 + Y2 = -2 -4 (9, -9) 3 + X2 = 2 X2 = 9 5 + Y2 = 2 Y2 = -9 ( X2 ,Y2 ) =