Aquarterback takes the football from the line of scrimmage and runs backward for 15 meters, he then runs sideways parallel to the line of scrimmage for 12 meters. at this point he throws the ball 50 meters perpendicular to the line of scrimmage where it is caught by the receiver. how far is the football from its original position?

For the below questions, consider a consumer that consumes two goods, x and z with the following utility function. u with bar on top space equals space x to the power of 1 third end exponent z to the power of 2 over 3 end exponent suppose initial values for income and the prices of goods x and z are y equals 90, p subscript x equals space 10, and p subscript z equals 15 respectively, then the price of good x falls to syntax error from line 1 column 89 to line 1 column 100. unexpected '\'.. what is the magnitude of the total effect