The problem is in the picture. . i am reviewing for the sat.

  5

Step-by-step explanation:

The solutions are the solutions to the two equations ...

The difference between the solutions is 5.

If you consider what the absolute value is doing, it is telling you twice the difference between x and -1/2 is 5:

  |2(x -(-1/2)}| = 5

  |x -(-1/2)| = 5/2

The solutions to this will be points on the number line that are 5/2 units either side of -1/2, so they will be 5 units apart.

Effectively, the answer to the question is 2(5/2) = 5, where 5 is the number on the right of the equation, and the 2 in the denominator is the coefficient of x.

The 2 in the numerator comes from the solutions being separated by twice the distance either solution is from x=-1/2.

-7

step-by-step explanation:

x^2 + 18x + 74 = (x + 9)^2 - 81 + 74

= (x + 9)^2 - 7.

so q = -7.

i think it is 70

step-by-step explanation: