Let P be the point (1, −2) and ` be the line in given by the equation 3x + 4y = 12. (a) Find any vector L parallel to `. [1 pt] (b) Let B be the point (0, 3) which lies on `. Find P rojL −−→P B. [3 pts] (c) Let w = P roj⊥ L −−→P B. Find |w|, the shortest distance from P to `. [3 pts] (d) Find the point on ` which is closest to P.

Use the expression below.–4b + 8c + 12 – 8b – 2c + 6part asimplify the expression. enter your answers in the boxes. b + c + part bfactor the simplified expression using the gcf. a. 2(–2b + c + 3) b. 3(–2b + c + 3) c. 4(–2b + c + 3) d. 6(–2b + c + 3)part cwhat is the value of the expression when b = 2 and c = –3? enter your answer in the box.

1. ∠1 is complementary to ∠2 and ∠3 is complementary to ∠2. subtraction property of equality 2. m∠1 + m∠2 = 90 and m∠3 + m∠2 = 90 substitution 3. m∠1 + m∠2 = m∠3 + m∠2 definition of complementary 4. m∠1 = m∠3 given

One vertex of a polygon is located at (3,-2). after a rotation, the vertex is located at (2, 3). which transformations could have taken place? check all that apply. - ro, 90" ro, 180" ra, 220v ro, -80" | ro, -27ợ"