Sender: Troy Subject: Extra Credit Problems Date: 14 Apr 99 13:56:16 -0500 My teacher has given me 5 extra point questions. I have figured out two, but i need a little assistance with 3 others, could you help me with: A stablehand agreed to work for 1 year. At the end of that time, she was to receive \$240 and one horse. After 7 months she quit the job, but still received the horse and \$100. What was the value of the horse? If the roots of x2 + bx + c are pi and square root 2, then find "b" and "c." Solve for "x" (square root x +(square root x +(square root x +(square root x +...))))= 5. All of the subsequent square root x are under the first radical. I figured the following: A parabolic arc is 30 feet wide at its base and 15 feet high. How many feet wide it it ten feet above the base? I used similar triangles to conclude that the relationship was x= 10 30 15. Therefore, x = 20 ft. Right? me.....wtc......:) Hi Troy Here are a few ideas. For problem number 1 the stablehand is to receive \$240 at the end of 1 year so that is \$20 per month. Thus at the end of 7 months she is owed 7x\$20 = \$140 and seven twelths of a horse. Since she only received \$100 in cash she must have used \$40 to buy the remaining five twelths of the horse. For 2. if the roots of x2 + bx + c are pi and the square root of 2 then (x - pi) and (x - the square root of 2) are factors of x2 + bx + c. Multiply (x - pi) by (x - the square root of 2) to try to determine b and c. I don't think that you can use similar triangles in 4. You need somehow to use the fact that the curve is a parabola. Draw the parabola in the plane with the y-axis as the axis of symetry and the vertex at (0,15). Now can you determine the equation of the parabola to solve your problem? I hope this helps Penny Go to Math Central To return to the previous page use your browser's back button.