Max rewrote the function f(x) = 4x2 + 16x + 8 in vertex form by completing the square. He concluded that the vertex is (-2,4), which was incorrect. a mistake?

Acone with volume 1350 m³ is dilated by a scale factor of 1/3. what is the volume of the resulting cone? enter your answer in the box. m³

In each of the cases that follow, the magnitude of a vector is given along with the counterclockwise angle it makes with the +x axis. use trigonometry to find the x and y components of the vector. also, sketch each vector approximately to scale to see if your calculated answers seem reasonable. (a) 50.0 n at 60.0°, (b) 75 m/ s at 5π/ 6 rad, (c) 254 lb at 325°, (d) 69 km at 1.1π rad.

The perimeter of a rectangle is 42 inches. if the width of the rectangle is 6 inches, what is the length