( x + 4 )( x + 6 ) is an equation that uses the FOIL method. (First, Outer, Inner, Last).
Following the FOIL method:
( x + 4 )( x + 6 ) multiply the first term in each set (x and x) to get x2
then multiply the two outside terms (x and 6) to get (positive) 6x
then multiply the inside terms (4 and x) to get (positive) 4x
then multiply the last term in each set (4 and 6) to get (positive) 24
Now you have x2 + 6x + 4x + 24
The terms in the middle have the same variable, so they can be combined and the final answer is x2 + 10x + 24.
6x+4 = x+12+4x-6 6x-x-4x = 12-6-4 x = 2
3x + 4 = x + 6 2x + 4 = 6 2x = 2 x = 1 Check it. 3 + 4 = 1 + 6 It checks.
Its product is plus 6
The patterns is formed from the product of the first number and the absolute difference of the two numbers. 1 x l4 - 1l = 1 x 3 = 3 3 x l7 - 3l = 3 x 4 = 12 6 x l5 - 6l = 6 x 1 = 6 7 x l10 - 7l = 7 x 3 = 21 11 x l7 - 11l = 11 x 4 = 44
x + 4 = 6 x = 6 - 4 x = 2
The product is: x^2 +8x +16
18 + 24 = (6 x 3) + (6 x 4) = 6 x 7
Capacitors in series: (1/Total) = 1/A + 1/B 1/Total = (B + A) / AB Total = AB/(A+B) = (Product)/(Sum), if only twocapacitors in series. We have 4uf and 6 uf. Product = (4 x 6) x 10-12 = 2.4 x 10-11 Sum = (4 + 6) x 10-6 = 1 x 10-5 Product/sum = (2.4 x 10-11) / (1 x 10-5) = 2.4 x 10-6 = 2.4 uf ======================================== Easier:Total = product/sum = (4 x 6) / (4 + 6) = 24/10 = 2.4 uf
x+x+2+x+4+x+6=42(x+x+x+x)+(2+4+6)=424x+12=424x=30x=15/2or 7 and 1/2
Find the solution for 4+6(X+9)
6x+4 = x+12+4x-6 6x-x-4x = 12-6-4 x = 2
3x + 4 = x + 6 2x + 4 = 6 2x = 2 x = 1 Check it. 3 + 4 = 1 + 6 It checks.
Its product is plus 6
18 + 24 = (3 x 6) + (4 x 6) = 7 x 6 = 42
x/6 = 6 and 4/6 x = 36 plus 24/6 x = 36 plus 4 x = 40
18 + 24 = (3 x 6) + (4 x 6) = 7 x 6 = 42
2/3 +x= 4/6 4/6+x=4/6 x=0