Answer:
see explanation
Step-by-step explanation:
A rational number can be expressed in the form
where a and b are integers
Given
- 27 = ← in rational form
Thus - 27 is a rational number
Determine whether the situation involves a permutation or a combination, and how many possibilities are there are?
1 answer:
Answer:
This situation involves a combination as the team will be the same no matter what order the students are chosen in.
There are 1402410240 possibilities for the six student team
Step-by-step explanation:
Each time a student is chosen, they cannot be chosen again, so the number of available students decreases each time that one is chosen.
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Look at number 3 for the answer
Explanation:
When the points are plotted on a graph, it is easy to see that the slope of AC is -2 and the slope of BC is 1/2. These slope values have a product of -1, so the corresponding line segments are perpendicular to each other.
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If you have studied vectors, you can find the dot product of AC with BC:
AC = (-5, 3) -(-2, -3) = (-3, 6)
BC = (6, 1) -(-2, -3) = (8, 4)
The dot product is ...
(-3, 6)·(8, 4) = (-3)(8) + (6)(4) = -24+24 = 0
When the dot product of vectors is zero, they are perpendicular.
