This is a problem of Permutations. We have 3 cases depending on the number of B's. Since no more than three B's can be used we can use either one, two or three B's at a time.
Case 1: Five A's and One B
Total number of letters = 6
Total number of words possible = 
Case 2: Five A's and Two B's
Total number of letters = 7
Total number of words possible = 
Case 3: Five A's and Three B's
Total number of letters = 8
Total number of words possible = 
Total number of possible words will be the sum of all three cases.
Therefore, the total number of words that can be written using exactly five A's and no more than three B's (and no other letters) are 6 + 21 + 56 = 83
The angles are complementary.
This means they add to 90 degrees.
(2x + 1) + (x + 5) = 90.
3x + 6 = 90. (Combine like terms)
3x = 84. (Subtract 6 from each side)
x = 28. (Divide 3 from each side)
x = 28
D is correct
3x - 2y = 6
-2y = -3x + 6
y = 3/2x - 3.....the slope here is 3/2. A parallel line will have the same slope.
so ur answer is : y = 3/2x + 4...because the slope here is 3/2
Answer:
Step-by-step explanation:
A is correct answer