We need to find two numbers that multiply to 24 (last coefficient) and add to 10 (middle coefficient). Through trial and error, the two values are 6 and 4
6 + 4 = 10
6*4 = 24
So we can break up the 10ab into 6ab+4ab and then use factor by grouping
a^2 + 10ab + 24b^2
a^2 + 6ab + 4ab + 24b^2
(a^2+6ab) + (4ab+24b^2)
a(a+6b) + 4b(a+6b)
(a+4b)(a+6b)
Therefore, the original expression factors completely to (a+4b)(a+6b)
linear inequality
The solution of a linear inequality is the ordered pair that is a solution to all inequalities in the system and the graph of the linear inequality is the graph of all solutions of the system
Answer:
24
Step-by-step explanation:
In a deck of 52 cards, there are 4 kings and 4 queens
Selection of 3 kings out of 4 = 4 C 3 = 4
Selection of 2 queens out of 4 = 6
So, total number of selections = 4 x 6 = 24
Answer:
Answer is 3.5
Step-by-step explanation:
slope is 7/2 which is 3.5:)
