Which are steps in the process of completing the square used to solve the equation 3 – 4x = 5x2 – 14x? Check all that apply 3 = 5(x2 + 2x) 3 = 5x2 – 10x 4 = 5(x2 – 2x + 1) 8 = 5(x2 – 2x + 1) 3 = 5(x – 1)2 4 = 5(x – 1)2 StartFraction 8 Over 5 EndFraction = (x – 1)2

Use addition and subtraction to simplify the following polynomials. a. add polynomials: (3 – 4x + 8x^2) + (–6 + 2x – 5x^2) step 1: rewrite the polynomials without the parentheses. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial. b. subtract polynomials: (3x – 5 – 7x^2) – (–2 + 6x^2 – 5x) step 1: rewrite the polynomials without the parentheses. remember to multiply each term in the second parentheses by –1. show your work. step 2: write the polynomial in descending order and use parentheses around like terms. step 3: add the like terms identified in step 2 to simplify the polynomial.

In the figure below, ∠dec ≅ ∠dce, ∠b ≅ ∠f, and segment df is congruent to segment bd. point c is the point of intersection between segment ag and segment bd, while point e is the point of intersection between segment ag and segment df. the figure shows a polygon comprised of three triangles, abc, dec, and gfe. prove δabc ≅ δgfe.

Order the measurements from the least to the greatest. 2,720 ml , 24.91 l , 0.0268 kl