Does 24, 32, 40, form a right triangle

The first hexagon is dilated to form the second hexagon select the answers from the drop box menus to correctly complete the statement

Find the vertex of the function given below y=x^2-6x+1

An automated water dispenser fills packets with one liter of water on average, with a standard deviation of 5 milliliter. the manual says that after a year of operation the dispenser should be tested to see if it needs recalibration. a year later a number of filled packets are set aside and measured separately. it is found that the average packet now contains about 0.995 liters. does the dispenser need calibration? explain your answer.