Hat is the average rate of change of f(x), represented by the table of values, over the interval [-2, 3]? x f(x) -6 2.5 -2 2.5 0 2 2 0 3 5 5 2.5 1 0.5

Which expression do you get when you eliminate the negative exponents of 4a^2 b^216a^-3 b

I've been working on this for a few days and i just don't understand, it's due in a few hours. you.the direction of a vector is defined as the angle of the vector in relation to a horizontal line. as a standard, this angle is measured counterclockwise from the positive x-axis. the direction or angle of v in the diagram is α.part a: how can you use trigonometric ratios to calculate the direction α of a general vector v = < x, y> similar to the diagram? part bsuppose that vector v lies in quadrant ii, quadrant iii, or quadrant iv. how can you use trigonometric ratios to calculate the direction (i.e., angle) of the vector in each of these quadrants with respect to the positive x-axis? the angle between the vector and the positive x-axis will be greater than 90 degrees in each case.part cnow try a numerical problem. what is the direction of the vector w = < -1, 6 > ?

20 pointstwo right triangles are graphed on a coordinate plane. one triangle has a vertical side of 3 and a horizontal side of 7. the other triangle has a vertical side of 9 and a horizontal side of 21. could the hypotenuses of these two triangles lie along the same line? yes, because they are both right triangles yes, because they are similar triangles no, because they are not similar triangles no, because one is larger than the other