The vertices of quadrilateral ABCD are A (2, 4), B (-1,5), C (-3, 4) and D (-2, 2). (a) Calculate the gradient of line CD
(b) Show that line AD is perpendicular to line CD.
(c) Find the equation of line CD. Give your answer in the form ax + by - c where a, b, c eZ
Lines AB and CD intersect at point E.
(d) Find the coordinates of E.
(e) Find the distance between A and D.

Abiologist is recording the loss of fish in a pond. he notes the number of fish, f, in the pond on june 1. on july 1 there were 63 fish in the pond, which is 52 fewer fish than were in the pond on june 1. which equation represents this situation? a. f – 52 = 63 b. f – 63 = 52 c. 63 – f = 52 d. f – 63 = –52

Adecibel is a logarithmic unit that can be used to measure the intensity of a sound. the function y = 10logx gives the intensity of a sound in decibels, where x is the ratio of the intensity of the sound to a reference intensity. the reference intensity is generally set at the threshold of hearing. use the graphing utility to graph the decibel function. a whisper has a sound intensity of 30 decibels. use your graph to you complete the following statement. the sound intensity of a whisper is times the reference intensity.

Emily is entering a bicycle race for charity. her mother pledges $0.90 for every 0.75 mile she bikes. if emily bikes 18 miles, how much will her mother donate?