Express each of these sums in the form a(b + c) where b and c do not have a common factor. show all work. 1. 6 + 21 2. 27 + 45 3. 32 + 48 4. 30 + 75 5. 88 + 24

What is the value of x in the equation 2(x-4) = 4(2x + 1)?

The first few steps in solving the quadratic equation 9x2 + 49x = 22 ? 5x by completing the square are shown. 9x2 + 49x = 22 ? 5x 9x2 + 54x = 22 9(x2 + 6x) = 22 which is the best step to do next to solve the equation by completing the square? 9(x2 + 6x + 3) = 25 9(x2 + 6x + 3) = 49 9(x2 + 6x + 9) = 31 9(x2 + 6x + 9) = 103

D(5, 7). e(4,3), and f(8, 2) form the vertices of a triangle. what is mzdef? oa. 30° ob. 45° oc. 60° od 90°