The function y=−0.04x2+0.32x+2.5 represents the path of an Olympic swimmer as he enters the pool. x represents the distance, in feet, from the side of the pool and y represents the height of the swimmer, in feet, above the pool. The side of the pool is represented by x=0

Use the quadratic formula to determine how far from the side of the pool the swimmer enters the water.

x=−b±b2−4ac−−−−−−√2a

  12.86 feet

Step-by-step explanation:

For quadratic ax² +bx +c = 0, the quadratic formula gives the solutions as ...

When y=0, your equation has ...

  a = -0.04, b=0.32, c=2.5

so the solutions will be ...

The positive answer is the one of interest:

  x ≈ 12.86 . . . feet

The swimmer enters the water about 12.86 feet from the side of the pool.

a thesis statement is not a fact or a question

step-by-step explanation:

a thesis statement is a topic it is not a fact or a question

statement #3: proof- ang is congruent to ang ecd : angles are congruent.  

step-by-step explanation:

1: the missing angles in statement #3  

a.) acb  

reason- the reason why the answer is acb is because angle ecd and angle acb are both the same size *that's what the word congruent means this is really simple.  

2: the missing word in reason #3  

c.) vertical  

reason- the reason why the answer is vertical is because the angles in that diagram on figure 2 is slanted, which is vertical, and the e and a both lay on vertical lines. along with the other's, but e and a are the 2 main points you want to focus on. and c is kind of like your starting point, because c is for both angles, not just one.  

i hope that was and understanding.