D is the mid-point of the line segment AB where A is (1, 3) and B is (9, −1). A point has coordinates (, ) where and are variables. (i) Find the coordinates of D. (ii) If 2 = 20, write an equation relating .
(iii) It is given that AC and BC are equal in length.
Find an equation relating and and show that it can be simplified to
= 2 − 9.

What is the exact volume of the cylinder 1.5 m 2.5 m

Arestaurant gives out a scratch-off card to every customer. the probability that a customer will win a prize from a scratch-off card is 25%. design and conduct a simulation using random numbers to find the experimental probability that a customer will need more than 3 cards in order to win a prize. justify the model for your simulation, and conduct at least 10 trials.

High schoolmathematics 5 points keith is the leading goal scorer for a team in an ice hockey league. last season, he scored 42 goals in 82 games. assuming he scores goals at a constant rate, what is the slope of the line that represents this relationship if the number of games is along the x-axis and the number of goals is along the y-axis?