Answer:
1.) Yes
2.) Yes
Step-by-step explanation:
Given that
n = k(k + 7)
If k is a positive integer and n = k(k + 7), is n divisible by 6 ?
(1) k is odd. Yes.
Let assume that k = 3
Then, n = 3(3 + 7)
n = 3 × 10
n = 30.
30 is divisible by 6.
(2) When k is divided by 3, the remainder is 2. That is,
Let k = 5
Then,
5/3 = 1 remainder 2
Substitute k into the equation
n = k(k + 7)
n = 5(5 + 7)
n = 5 × 12
n = 60
And 60 is divisible by 6.
Therefore, the answer to both questions is Yes.
√(4) is equal to 4 raised to the (1/2). 1/2 as an exponent is between 0 and 1 and it means to take the square root.
So, 4^(1/2) = 2 (or -2)
Bell is the tallest person at 52 inches, Con is the shortest person at 42 inches. So 54 - 42 = 12
Answer:
- equation: (7x-4) +19 +(10x+3) = 52
- x = 2
- red: 10
- blue: 19
- yellow: 23
Step-by-step explanation:
The equation is based on the relation that the perimeter is equal to the sum of the side lengths.
P = red + blue + yellow
52 = (7x -4) +(19) +(10x +3)
52 = 17x +18 . . . . . . . . . . . . . . simplify
34 = 17x . . . . . . . . . . . . . subtract 18
2 = x . . . . . . . . . . . . divide by 17
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red = 7(2) -4 = 10
blue = 19
yellow = 10(2) +3 = 23
