What are the ordered pairs of the solutions for this system of equations? f(x) = x2 – 2x + 3; f(x) = -5x + 1 ​

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  (-2, 11), (-1, 6)

Step-by-step explanation:

We can find the values of x that make the difference between the functions be 0.

  f(x) -f(x) = 0

  x^2 -2x +3 -(-5x +1) = 0

  x^2 +3x +2 = 0 . . . . . . . . . . simplify

  (x +2)(x +1) = 0 . . . . . . . . . . . factor

Values of x that make these factors zero are solutions:

  x = -2, x = -1

The corresponding values of y are ...

  y = -5(-2) +1 = 11

  y = -5(-1) +1 = 6

The ordered pairs that are solutions are (-2, 11) and (-1, 6).

step-by-step explanation:

i hate black

answer: the distance

step-by-step explanation:

to calculate the distance d of a line segment with endpoints (x1, y1) and (x2, y2) use the formula d (x2 x1)2 (y2 y1)2. to calculate the midpoint of a line segment with endpoints (x1, y1) and (x2, y2) use the formula