What number makes each equation true? n^2 + 6 n + 8 = (n-2) (n+ - 9)?

The equation will simplify to a linear equation in n, which can be solved to find n.

n² +6n +8 = (n -2)(n -9) . . . . . . we assume this is your intent

n² +6n +8 = n² -11n +18 . . . . . . expand the right side

17n = 10 . . . . . . . . . . . . . . . . . . . add 11n -8 -n² to both sides

n = 10/17 . . . . . . . . . . divide by the coefficient of n

The number that makes the equation true is n = 10/17.

a 4/6 = 9/12   not proportional

step-by-step explanation:

to find which are not proportional, we can use cross products

if it is true, they are proportional.   if it is not true, they are not proportional.

a 4/6 = 9/12

4* 12 = 6*9

48 = 54

not this is not proportional  

b 2/3 = 12/18  

2* 18 = 3 * 12

36 = 36

this is proportional

c 5/4 = 10/8  

5*8 = 4*10

40 = 40

this is proportional

d 7/5 = 35/25

7*25 = 5 * 35

175 = 175

is proportional