A trail designer is planning two trails that connect campsites A and B to a point on the river, line ℓ. She wants the total length of the trails to be as short as possible. At what point should the trails meet the river? Use a problem-solving model to design the trails and check your answer for reasonableness.

Demonstrate the proof of your new polynomial identity through an algebraic proof and a numerical proof in an engaging way! make it so the whole world wants to purchase your polynomial identity and can't imagine living without it! you must: label and display your new polynomial identity prove that it is true through an algebraic proof, identifying each step demonstrate that your polynomial identity works on numerical relationships create your own using the columns below. see what happens when different binomials or trinomials are combined. square one factor from column a and add it to one factor from column b to develop your own identity. column a column b (x − y) (x2 + 2xy + y2) (x + y) (x2 − 2xy + y2) (y + x) (ax + b) (y − x) (cy + d)

What term best describes a line and a point that lie in the same plane? a. congruent b. coplanar c. collinear d. equal

At noon a tank contained 10cm water. after several hours it contained 7cm of water. what is the percent decrease of water in the tank?