A, b and c are vertices of a triangle.

a has coordinates (4, 6)
b has coordinates (2, -2)
c has coordinates (-2, -4)

d is the midpoint of ab.
e is the midpoint of ac.

prove that de is parallel to bc.
you must show each stage of your working.

Before simplifying, how many terms are there in the expression 2x - 5y + 3 + x?

Martha has a deck of cards. she has lost some of the cards, and now the deck only contains nine spades, eleven diamonds, eight clubs, and twelve hearts. martha predicts that whenever she draws a card from the deck without looking, she will draw a club one-fifth of the time. which activity would best allow martha to test her prediction? a. randomly draw a card from the box and see if it is a club. b. randomly draw a card. then, continue to draw another card until all eight clubs are drawn. c. randomly draw and replace a card 120 times. then, observe how close to 30 times a club is drawn. d. randomly draw and replace a card 100 times. then, observe how close to 20 times a club is drawn.

Percy rides his bike 11.2 miles in 1.4 hours at a constant rate. write an equation to represent the proportional relationship between the number of hours percy rides, x, and the distance in miles, y, that he travels.