Answer:
D.) The graph of g(x) is shifted 3 units right and 4 units down
Step-by-step explanation:
When a number is added directly to an "x" variable, the graph of the function shifts to the left. When this number is negative, the graph shifts to the right. Therefore, if a -3 is directly modifying the "x" variable, the graph shifts 3 units to the right.
When a number is added to the overall function, the graph of the function shifts up. When this number is negative, the graph shifts down. Therefore, if a -4 is being added to the overall function, the graph shifts down 4 units.
A is correct.
If the two shorter sides squared and added together, equals the longer side squared, then it is a right triangle.
The tangent of an angle is the ratio of the opposite side to the adjacent side.
... tan(45°) = (height above eye level)/(20 m)
... height above eye level = (20 m)·tan(45°) = (20 m)·1 = 20 m
_____
Eye level is 1.7 m above ground, so the height of the flagpole above ground is
... height of pole = height above eye level + height of eye level
... height of pole = 20 m + 1.7 m = 21.7 m
Answer:
12 cells every hour.
Step-by-step explanation:
You would do 2 x 6
(the 2 is the cells per hour, and the 6 is the amount of hours)