Randy draws triangle abc on the coordinate plane with vertices a(7, –4), b(10, 3), and c(6, 1). he then translates the figure so the coordinates of the image are a′(5, 1), b′(8, 8), and c′(4, 6). what rule did he use to draw the image? t–5, 2(x, y) t–2, 5(x, y) t2, –5(x, y) t5, –2(x, y)

To which sets of numbers does -12 belong? choose all answers that are correct. a) natural numbers b) integers c) real numbers d) irrational numbers

Simplify (2^5/3^2)^4 a. 2^20/3^8 b. 2^9/3^8 c. 8^5/12^2 d. 2/3^2

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters