Answer:
2
Step-by-step explanation:
(,)=?
(,)=(5,2)
=5!(2!(5−2)!)
=5!2!×3!
= 10
Answer:
3 sqrt(3)
----------- or -----------
2 sqrt(3) 2
Step-by-step explanation:
3 sqrt(8)
-----------------
4 sqrt(6)
3 sqrt(4*2)
-----------------
4 sqrt(3*2)
We know that sqrt(ab) = sqrt(a) sqrt(b)
3 sqrt(4) sqrt(2)
------------------------
4 sqrt(3) sqrt(2)
Canceling the sqrt(2) and sqrt(4) is 2
3*2
----------
4 sqrt(3)
3
-----------
2 sqrt(3)
We can simplify the answer be multiplying by sqrt(3)/sqrt(3)
3 sqrt(3)
----------- * ----------
2 sqrt(3) sqrt(3)
3 sqrt(3)
-----------
2 *3
sqrt(3)
-----------
2
Answer:
D: The function has a hole when x = 3, and vertical asymptotes when x = 0 and x = 5.
Step-by-step explanation:
The given rational function has vertical asymptotes and holes. Remember that an asymptote is placed when the function has undetermined results, when we give a x-value and the y-value cannot be determined, there we say exists an asymptotes, which is a punctual line that represents a discontinuation of the graph, the trace cannot cross that asymptote, it divide the whole function graph.
So, in this case we have to undetermined results when the function has a hole of x = 3, and vertical asymptotes when x = 0 and x = 5.
Theorem: If two chords intersect within a circle, then the product of the lengths of the segments (parts) of one chord is equal to the product of the lengths of the segments of the other chord.
In your case this theorem sounds as

If AM=7, MB=6, CM=8, then

Note that CD=CM+MD=8+5.25=13.25.
Answer: correct choice is C