SOLUTION: The coordinates of O, A and B are O(0,0) , A(5,0) , B(7,8). Find a) The gradient of AB, b) The equation of AB, c) The area of ▲ OAB, The triangle OAB is reflected in the

Algebra ->  Coordinate-system -> SOLUTION: The coordinates of O, A and B are O(0,0) , A(5,0) , B(7,8). Find a) The gradient of AB, b) The equation of AB, c) The area of ▲ OAB, The triangle OAB is reflected in the      Log On


   

Question 1033981: The coordinates of O, A and B are O(0,0) , A(5,0) , B(7,8). Find
a) The gradient of AB,
b) The equation of AB,
c) The area of ▲ OAB,
The triangle OAB is reflected in the line x=0. Write down the coordinates
of the image of A and of B
PLZZ HELP
Answer by Edwin McCravy(20054) About Me  (Show Source):
You can put this solution on YOUR website!


a) The gradient of AB,

b) The equation of AB,
Let Z(x,y) be a random point on AB





matrix%281%2C3%2C%0D%0A4%2C%0D%0A%22%22=%22%22%2C%0D%0A%28y-0%29%2F%28x-5%29%0D%0A%29

matrix%281%2C3%2C%0D%0A4%2F1%2C%0D%0A%22%22=%22%22%2C%0D%0Ay%2F%28x-5%29%0D%0A%29

Cross-multiply:

matrix%281%2C3%2C%0D%0Ay%2C%0D%0A%22%22=%22%22%2C%0D%0A4%28x-5%29%0D%0A%29

matrix%281%2C3%2C%0D%0Ay%2C%0D%0A%22%22=%22%22%2C%0D%0A4x-20%0D%0A%29

c) The area of ▲ OAB,


matrix%281%2C5%2Cbase%2C%22%22=%22%22%2COA%2C%22%22=%22%22%2C5%29
matrix%281%2C7%2Cheight%2C%22%22=%22%22%2Cgreen%2Cline%2Cabove%2C%22%22=%22%22%2C8%29



Edwin