The radioactive isotope 14C has a half-life of approximately 5715 years. A piece of ancient charcoal contains only 81% as much o
1 answer:
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Answer:
<h2>First option is the correct option.
Step-by-step explanation:
Factor out X from the expression
Using , factor the expression
Write all numerators above the Least Common Denominators x ( x - 3 ) ( x + 3 )
Multiply the parentheses
When there is a (-) in front of an expression in parentheses, change the sign of each term in the expression
Distribute -x through the parentheses
Using , simplify the product
Collect like terms
Subtract the numbers
Distribute x through the parentheses
Write 7x as a sum
Factor out X from the expression
Factor out 2 from the expression
Factor out x + 5 from the expression
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Answer:
80 m^2
Step-by-step explanation:
The given information lets you write two equations involving length (x) and width (y).
- 2(x +y) = 36 . . . . the perimeter is 36 m
- (x+1)(y+2) -xy = 30 . . . . increasing the length and width increases area
The second of these equations simplifies to another linear equation, giving a system of linear equations easily solved.
xy +y +2x + 2 -xy = 30
2x +y = 28 . . . . . . . subtract 2
Dividing the first equation by 2 gives
x +y = 18
and subtracting this from the above equation gives ...
(2x +y) -(x +y) = 28 -18
x = 10
Then
y = 18 -10 = 8
The area of the original rectangle is xy = 10·8 = 80 m^2.
