Translations
directions graph the linear function for each. then graph
graph y = 3x. original line
red: translate the line 3 units to the right.
new linear function:
blue: translate the line 1 unit to the left and 2 units up
new linear function:
green: translate the line 2 units to the right and up 1

10 pointsthe roof of a house has a slope of 5/12. what is the width of the house if the height of the roof is 8 feet?

Determine whether the following statements are true and give an explanation or counterexample. bold a. when using the shell method, the axis of the cylindrical shells is parallel to the axis of revolution. bold b. if a region is revolved about the y-axis, then the shell method must be used. bold c. if a region is revolved about the x-axis, then in principle it is possible to use the disk/washer method and integrate with respect to x or the shell method and integrate with respect to y.

How many triangles can be drawn with side lengths 4 centimeters, 4.5 centimeters, and 9 centimeters? explain