First, make an organized list of the factors for each number. The common factors are 1, 2, 4, 8, and 16, and the greatest of these is 16. So, the greatest common factor or GCF of 48 and 64 is 16.
Answer:
Step-by-step explanation:
3. V triangular prism =B*h=18*12*35=7560 cubic feet
4. V cone= pi*r^2*h=pi*8^2*9=3.14*64*9=1808.6 cubic feet
5. V=B*h/3=15*9*13/3=5*9*13=585 cubic milimeters
The equation for the vertical translation of y=f(x). 2 units up is y=f(x)+2.
Using equations of the form y=f(x), you may be able to modify the graph in various ways. For example, you can move the chart up, down, left, or right, flip it around the x or y-axis, or stretch or shrink it vertically or horizontally. Understanding these transformations makes it easy to graph different functions. Start with a "basic model" and apply a series of transformations/modifications to change it to the desired function.
A point on the graph of y=f(x) has the shape (x,f(x)).
The points on the graph of y=f(x)+2 are of the form (x,f(x)+2).
So, the graph for y=f(x) +2 is the same as the graph for y=f(x) shifted up by 2 units.
The new equation is:
y=f(x)+2
More problems related to the translation of shapes are given below.
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