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# Solving word problems by use of algebra

Please show all steps and please use the equation editor . thank you.

Find all real or imaginary numbers to the equation.

1.
Find the value of x
6x = -(19x+25)/(x+1)

Find exact and approximate solutions to each problem.

2. Boxing Match . A boxing ring in the shape of a square , 20 feet on each side . How far apart are the fighters when they are in opposite corners of the ring?

3. For 1989 and 1990 Dave Johnson had the highest decathlon score in the world . When Johnson reached a speed of 32 ft/second the pole vault runway, his height above the ground t seconds after leaving the ground was given by h =16t^2 + 32t. ( the elastiticity of the pole converts the horizontal speed into vertical speed .) Find the value of t for which his height was 12 feet.

4.Use the information from number 3 to determine how long Johnson was in the air . For how long was he more than 14 feet in the air ?

#### Solution Preview

Please refer attached document for complete solution. Large fraction of work is done with the help of equation writer which may not print here.

Solutions:
1.

Find exact and approximate solutions to each problem.( try to show a diagram on this one)

2. Boxing Match . A boxing ring in the shape of a ...

#### Solution Summary

The solution describes the steps in solving algebraic expressions. Few word problems are solved by converting them to algebraic expressions.

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