A block of mass 15 kg is sliding along the ice at constant speed 4.0 m/s. just ahead of it is a block of mass 23 kg sliding in the same direction at constant speed 3.6 m/s. when the two blocks collide, the 23-kg block travels at a new speed of 5.2 m/s. what is the new speed of the 15-kg block?

Use the method of cylindrical shells to find the volume v generated by rotating the region bounded by the curves about the given axis.y = 7ex, y = 7e^-x, x = 1; about the y-axis

The slope of cd is which segments are perpendicular to cd ? select each correct answer. gf , where g is at (6, 5)and fis at (10, 2) ef, where e is at (4, 1) and f is at (7,5) lm , where lis at (-2, 3) and m is at (-10, 9) jk , where jis at (1, -2) and k is at (10, – 14) next

More challenges: 1) factor out the indicated quantity.8mn² + 7mn - m : factor out the quantity -m2) factor the polynomial by grouping.2vw + 7cv + 14cw + 49c²3) factor completely using the difference of squares along with factoring by grouping.25v³ - 25v² - 4v + 44) factor the sum of cubes. 125x³ + 645) q³ + 27r³6) factor completely. use difference of squares.729p^6 - 6^67) solve the equation(7x + 4)(9x - 1) = 08) a. find the values of x for which f (x) = 0b. find f (0)f (x) = x² + 2x - 489) find the x and y-intercepts for the function defined by y = f (x)f (x) = (x + 3)(x + 4)(x - 1)²10) factor the trinomial completely by using any method. remember to look for a common factor first. 3v² - 2v - 16