I am going to go with the assumption that your equation is

. If there is only one solution, then the equation must be a perfect square. So square

to solve for the equation in the similar form that is given.

. So the variables match up perfectly in the equation, meaning that the value of m is 6, letter choice C.
The approximate middle value
Answer:
see below
Step-by-step explanation:
4/9x-10>x/2-12
Subtract 4/9 from each side
4/9x-4/9x-10>x/2 - 4/9x-12
-10>x/2 - 4/9x-12
Add 12 to each side
12-10>x/2 - 4/9x
2 > x/2 - 4/9x
Get a common denominator
2 > 9x/18 - 8x/18
2 > x/18
Multiply each side by 18
2*18 > x
36 >x
Open circle at x
Line going to the left
Use the formula y2-y1/x2-x1 and sub in the points
Hope this helps
M/-5+3=-4.5 -4.5-3=-7.5
m/-5=-7.5 -7.5×-5=37.5
m=37.5
I basically did PEMDAS in reverse... and flipped the signs.