Answer:2/3
Step-by-step explanation:
Simplifying
(9m + -6) * 7 = 0
Reorder the terms:
(-6 + 9m) * 7 = 0
Reorder the terms for easier multiplication:
7(-6 + 9m) = 0
(-6 * 7 + 9m * 7) = 0
(-42 + 63m) = 0
Solving
-42 + 63m = 0
Solving for variable 'm'.
Move all terms containing m to the left, all other terms to the right.
Add '42' to each side of the equation.
-42 + 42 + 63m = 0 + 42
Combine like terms: -42 + 42 = 0
0 + 63m = 0 + 42
63m = 0 + 42
Combine like terms: 0 + 42 = 42
63m = 42
Divide each side by '63'.
m = 0.6666666667
Simplifying
m = 0.6666666667=2/3 when simplified
Either a or b. C and d don’t make sense cuz there’s no way those lines are perpendicular
Answer:
and
.
Step-by-step explanation:
So I believe the problem is this:

where we are asked to find values for
and
such that the equation holds for any
in the equation's domain.
So I'm actually going to get rid of any domain restrictions by multiplying both sides by (x-3)(x+7).
In other words this will clear the fractions.


As you can see there was some cancellation.
I'm going to plug in -7 for x because x+7 becomes 0 then.




Divide both sides by -10:


Now we have:
with 
I notice that x-3 is 0 when x=3. So I'm going to replace x with 3.




Divide both sides by 10:


So
and
.
Answer:
-8/7 =x
Step-by-step explanation:
-2 x+1
----- = -----------
12 x+2
Using cross products
-2 (x+2) = 12 (x+1)
Distribute
-2x -4 = 12x+12
Add 2x to each side
-2x+2x -4 = 12x+2x+12
-4 = 14x +12
Subtract 12 from each side
-4-12 = 14x
-16 = 14x
Divide each side by 14
-16/14 =14x/14
-8/7 =x
15-9= 6 the difference is 6 people. i hope this is what you were looking for.