Find the midpoint of the line segment joining the points P = (-7,1) and Q = (5,-7)

  (-1, -3)

Step-by-step explanation:

The midpoint coordinates are the average of the respective end point coordinates:

  M = (P +Q)/2

  M = ((-7, 1) +(5, -7))/2 = (-7+5, 1-7)/2 = (-2, -6)/2

  M = (-1, -3) . . . . the midpoint of PQ

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3

2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.