triangle abc has vertices a(1,4), b(−2,4) , and c(−1,−1) . a dilation with a scale factor of 0.25 and center at the origin is applied to the triangle.

what are the coordinates of b' in the dilated image?

Sam claims that cos x =sin y if x and y are congruent angels. is sam correct ?

Acertain population of bacteria demonstrates exponential growth doubles in size every 4 days. how long will it take the population to triple in size?

Graph the system of inequalities presented here on your own paper, then use your graph to answer the following questions: y < 4x − 8 y is greater than or equal to negative 5 over 2 times x plus 5 part a: describe the graph of the system, including shading and the types of lines graphed. provide a description of the solution area. (6 points) part b: is the point (5, −8) included in the solution area for the system? justify your answer mathematically. (4 points)