To find our solution, we can start off by creating a string of 27 boxes, all followed by the letters of the alphabet. Underneath the boxes, we can place 6 pairs of boxes and 15 empty boxes.The stars represent the six letters we pick. The empty boxes to the left of the stars provide the "padding" needed to ensure that no two adjacent letters are chosen. We can create this -
Thus, the answer is that there are
ways to choose a set of six letters such that no two letters in the set are adjacent in the alphabet. Hope this helped and have a phenomenal New Year!
<em>2018</em>
Alright remember, if any individual factor on the left side of the equation is equal to 0, the entire expression will be equal to 0.
k+1=0
k-5=0
Set the first factor equal to 0 and solve
k=-1
Set the next factor equal to 0 and solve
k=5
The final solution is all the values that make (k+1)(k-5)=0 true.
k=-1, 5
Hope this helped you out :)
Answer:
<u><em>A </em></u><u><em>quadratic function </em></u><u><em>is a second degree polynomial function. The general form of a quadratic function is this: f (x) = ax2 + bx + c, where a, b, and c are real numbers, and a≠ 0.</em></u>
Answer:
y/(x - 10)
Step-by-step explanation:
The quantity is x minus ten, which means that it is (x - 10)
y divided by the quantity = y/(x - 10)
~
Answer:
123.5 m^2
Step-by-step explanation:
The area of the whole rectangle is 9 x 19 = 171 m^2
The area of the region that isn't shaded is (5 x 19)/2 = 47.5 m^2 because the height of the triangle is 5 (9 - 4) and the area of a triangle is
(height x length)/2
171 - 47.5 = 123.5 m^2
