If x is the first number, x+2 is the next consecutive even integer. The difference (subtraction) of their squares equals 20. Therefore:
(x+2)²-x²=20...expand this:
x²+4x+4-x²=20
x²+4x+4-x²=20
4x+4=20
4x=16
x=4. Therefore the next consecutive even integer is x+2=6.
To check: 6²-4² must equal 20
36-16=20 check!
An even number between 7 and 16 could be 8, 10, 12, or 14. You know they are even number because they always end with a digit of 2, 4, 6, 8, or 0. Also it is divisible by 2. Just draw a number line.<span />
Answer:
a = (d -c)/b
Step-by-step explanation:
Undo the addition of c, by subtracting c.
ab +c -c = d -c
ab = d - c
Undo the multiplication by b, by dividing by b.
ab/b = (d -c)/b
a = (d -c)/b
You would set your equation up as basically f(x)-g(x), so:
(3x-4)-(x+2)
combine your like terms and you should have your answer:
2x-6
The sum of 'k' and '7' is ' k + 7 '.
Five-sixths of that sum is ' (5/6)(k + 7) '.
The product of '6' and 'c' is '6c' .
"Five sixths of the sum of 'k' and '7' " minus the of '6'and 'c' is
<em> (5/6)(k + 7) - 6c</em>.
