graph the result of a transformation of a circle L using the rule (x, y) (x-4, y+4) followed by a dilation of a scale factor of 3/2 centered at point L

If a(0,0,0) and b(2,2,2) are points in coordinate space, how many paths are there from a to b that move from one lattice point to another in the positive x-,y- or z- direction?

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe

The points (1, 7) and (0, 2) fall on a particular line. what is its equation in slope-intercept form?