Which of the images above represents a proof of the pythagorean theorem? explain your choice, and then explain how the figure proves the pythagorean theorem.

The image with 25, 144 and 169 represents proof of the Pythagorean Theorem.  

Step-by-step explanation:

The Pythagorean Theorem is used to find the missing side of a right triangle.  The formula is a^2 + b^2 = c^2, where 'a' and 'b' represent the legs of the triangle (the ones the form the 90 degree angle) and 'c' represents the hypotenuse (the diagonal across from the 90 degree angle).  In the case of the three squares, the area of each square is given.  The area of a square is simply the base multiplied by the height, which in the case of a square those dimensions are the same.  So, taking the square root of 25 = 5, the square root of 144 =12 and the square root of 169 = 13.  If we apply the Pythagorean Theorem formula, we get 5^2 + 12^2 = 13^2, or 25 + 144 = 169.  This image proves the Pythagorean Theorem holds true.  

answer: on graphs, the open and closed circles, or vertical asymptotes drawn as dashed lines us identify discontinuities.

as before, graphs and tables allow us to estimate at best.

when working with formulas, getting zero in the denominator indicates a point of discontinuity.

when working with piecewise-defined functions, check for discontinuities at the transition points where one piece ends and the next begins.

step-by-step explanation: