Among all pairs of numbers (x, y) such that 3x + y = 19, find the pair for which the sum of squares, x2 + y2, is minimum. Write your answers as fractions reduced to
lowest terms.

Follow these steps using the algebra tiles to solve the equation −5x + (−2) = −2x + 4. 1. add 5 positive x-tiles to both sides and create zero pairs. 2. add 4 negative unit tiles to both sides and create zero pairs. 3. divide the unit tiles evenly among the x-tiles. x =

Based on the diagram, match the trigonometric ratios with the corresponding ratios of the sides of the triangle. tiles : cosb sinb tanb sincposs matches: c/b b/a b/c c/a

Will give a: 122 b: 90 c: 48 d: 180