Pls I NEED HELP PLS HELP MEEE ILL MARK BRANLIEST Explain a time when you see Pythagorean Theorem in real life. Explain the process you would use to analyze a situation and solve a problem involving the Pythagorean theorem. Be sure to write in complete sentences!

The $x$-intercepts of the parabola $y = x^2 + bx + c$ are $(-3,0)$ and $(5,0).$ find the equation of the parabola, and submit your answer in $y = ax^2 + bx + c$ form.

#12 find the value of x. #13 find the value of the variable.

At the olympic games, many events have several rounds of competition. one of these events is the men's 100-meter backstroke. the upper dot plot shows the times (in seconds) of the top 8 finishers in the final round of the 2012 olympics. the lower dot plot shows the times of the same 8 swimmers, but in the semifinal round. which pieces of information can be gathered from these dot plots? (remember that lower swim times are faster.) choose all answers that apply: a: the swimmers had faster times on average in the final round. b: the times in the final round vary noticeably more than the times in the semifinal round. c: none of the above.