A library has three branches located throughout a city at points D(1,3),
E(1, 1), and F(5, 1). The main library is
equidistant from the three branches. Find
the location of the main library.

Its due ! write an equation in which the quadratic expression 2x^2-2x 12 equals 0. show the expression in factored form and explain what your solutions mean for the equation. show your work.

Mary beth used the mapping rule to find the coordinates of a point that had been rotated 90° counterclockwise around the origin. examine the steps to determine whether she made an error. m (3, –6) is rotated 90° counterclockwise. (x, y) → (–y, x) 1. switch the x- and y-coordinates: (6, –3) 2. multiply the new x-coordinate by –1: (6(–1), –3) 3. simplify: (–6, –3) .

What value of x is in the solution set of 4x - 12 s 16 + 8x? -10 -9 -8 -7