A cylindral drill with radius 5 cm is used to bore a hole through the center of a sphere with radius 9 cm. Find the volume of th
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Answer:
and
Step-by-step explanation:
Given
5 daises to 2 roses
Required
Determine the relationship between them
The question shows a direct proportion between number of daises and roses.
i.e.
Where d = daises and r = roses
Convert the above expression to an equation
Make k the subject
When d = 5 and r = 2;
So, the first relationship between d and r can be gotten by substituting 2.5 for k in d = kr
So:
----------- (1)
Make r the subject in (1)
------------------------(2)
Hence, the relationships between d and r are:
and
Using synthetic division to divide x³ + 2x² - x - 2. Since (x + 1) is the factor, we can divide by -1. See the attached file for the synthetic division. After that, we are left with x² + x - 2. This can easily be factored into (x + 2)(x - 1). The remaining factors are (x + 2) and (x - 1).
