<h3>Answer: C) 12</h3>
Explanation:
We have 4 options for the first choice and 3 options for the next. So there are 4*3 = 12 different combos possible. The tree diagram below shows 12 different paths to pick from. For instance, the right-most path has us pick the number 4 and the color yellow.
9514 1404 393
Answer:
64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Step-by-step explanation:
The row of Pascal's triangle we need for a 6th power expansion is ...
1, 6, 15, 20, 15, 6, 1
These are the coefficients of the products (a^(n-k))(b^k) in the expansion of (a+b)^n as k ranges from 0 to n.
Your expansion is ...
1(2k)^6(-1/3)^0 +6(2k)^5(-1/3)^1 +15(2k)^4(-1/3)^2 +20(2k)^3(-1/3)^3 +...
15(2k)^2(-1/3)^4 +6(2k)^1(-1/3)^5 +1(2k)^0(-1/3)^6
= 64k^6 -64k^5 +(80/3)k^4 -(160/27)k^3 +(20/27)k^2 -(4/81)k +1/729
Answer:6
Step-by-step explanation:
You would have to plot the vertices and play a sort of game of connect the plots ( *Or connect the dots but more literally, the plots*) Then decide whether or not your final illustrations have the potential to be similar. If so, why?
EXAMPLE ANSWER: DO NOT USE ANY IF THEM BELOW FOR I DO NOT KNOW THE UNIT LENGTH OR SHAPE THE CONNECTED DOTS WOULD CREATE!!!
The two triangles could be similar due to the identical amount of units between each vertice. Furthermore, you could connect the units in a certain orientation, keeping the units in mind, and produce two identical triangles.
Or...
The two triangles could be similar due to the type of triangle. Each triangle has the potential to be a (right/scalene/isosceles/obtuse/acute, etc).
