Noah is working on a geometry problem that involves finding the volume of a sphere with a diameter of 9 units. his work is shown below. v = πr3 v = π(9)3 v = π(729) v = 972π cubic units is noah’s work correct? explain. a)yes, noah’s calculations are correct. b)no, noah did not simplify correctly. c)no, noah used the diameter instead of the radius in the calculations. d)no, noah did not use the correct formula for volume of a sphere.

Look at this system of equations. -3x + 3y = 12 y = x + 4 the solution set of this system is best explained by which of these statements? a) the graphs of the equations are the same line because the equations have the same slope and the same y-intercept. the system has infinitely many solutions. b) the graphs of the equations are parallel lines because they have the same slope but different y-intercepts. the system has no solution. c) the graphs of the equations are lines that intersect at one point because the equations have the same slope but different y-intercepts. the system has exactly one solution. d) the graphs of the equations are lines that intersect at one point because the equations have the same slope and the same y-intercept. the system has exactly one solution.