Answer:
E. x² + 11x - 42 = 0
Step-by-step explanation:
let the square sides be x
A = bh = (x + 3 + 3)(x + 2 + 3) = 72
(x + 6)(x + 5) = 72
x² + 11x + 30 = 72
x² + 11x - 42 = 0
Answer:
Answer:
x=3 and y=1
Step-by-step explanation:
Let's solve your system by substitution.
x=3y;2x+4y=10
Step: Solvex=3yfor x:
x=3y
Step: Substitute3yforxin2x+4y=10:
2x+4y=10
23y+4y=10
10y=10(Simplify both sides of the equation)
10y
10
=
10
10
(Divide both sides by 10)
y=1
Step: Substitute1foryinx=3y:
x=3y
x=(3)(1)
x=3(Simplify both sides of the equation)
Answer:
x=3 and y=1
Answer:
Part a: The number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: The number of ways in which the candidates can be appointed as members of the planning committee are 495.
Step-by-step explanation:
As the complete question is not given a similar question is found online and is attached herewith.
Part a: Number of ways in which 12 candidates can be appointed for President, Chief Executive Officer, Chief Operating Officer and Chief Finance Officer.
Number of Candidates=12
Number of Posts=4
As the order is important the number of ways are identified using Permutations given as

So the number of ways in which the candidates can be appointed on the executive posts are 11880.
Part b: Number of ways in which 12 candidates can be appointed as members of the planning committee.
Number of Candidates=12
Number of Posts=4
As the order is not important the number of ways are identified using Combinations given as

So the number of ways in which the candidates can be appointed as members of the planning committee are 495.
Answer:
.1<u>777</u><u>.</u><u>.</u><u>.</u><u> </u><u>(</u><u>7</u><u> </u><u>is </u><u>repeating)</u>