The coefficient of the x-term is -3. Add the square of half of that.
.. (-3/2)² = 9/4 . . . . . . the number you need to add.
x² -3x +9/4 = (x -3/2)²
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If the x² term has a coefficient other than 1, you need to factor that out first and deal with the remaining binomial. For example,
.. 2x² -6x = 2(x² -3x)
For this you would need to add 9/4 inside parentheses to get
.. 2(x² -3x +9/4) = 2(x -3/2)²
Of course, to keep the original value, you would need to subtract 2*(9/4) outside parentheses.
.. 2x² -6x = 2(x -3/2)² -9/2
Answer:

Step-by-step explanation:
The volume of a cone with radius
and height
is equal to
.
What we're given:
- Since radius is half the diameter,
is
- Height of
Substituting given values, we get:

Convert to fluid ounces using the conversion given in the question:

Answer:
45 student tickets and 30 adult tickets
Step-by-step explanation:
You can check your work by plugging both answers into both of the original equations. :)
Answer:
turned
Step-by-step explanation:
A translation is when a figure is turned without changing the size or shape