Mostly linear problems i had trouble with
Okay, so i did all the questions in the chapter and these are the questions i had trouble with. If u don't might could u show ur working becos i know wot the answes r, i just don't know how to get 2 them. Thanks alot
1 .P and Q are the points of intersection of the line y/2 + x/3= 1 with the x and y axes repectively. The gradient of QR is 1/2, where R is the point with x-coordinate 2a,a>0.
a. Find the y-coordinate of R in terms of a
b.Find the value of a if the gradient of PR is -2
2. In the a rectangle (diagram below) ABCD, A and B are the points (4,2) and (2,8) respectively. Given the equation of AC is y=x-2, find:
a. The equation of BC
b. the coordinates of C
3. ABCD is a parallelogram, lettered anticlockwise, such that A and C are the points (-1,5) and (5,1) repectively.
a. Given that BD is parallel to the line whose equation is y+5x=2, find the equation of BD.
4. A car journey of 300km lasts 4h. Part of this journey is on a freeway at an average speed of 90km/h. The rest is on country roads at an average speed of 70km/h. Let T be the time(in hours) spent on the freeway.
a. In terms of T, state the number of hours travelling on country road.