12) Given A(9, 2), B(-1, y) C.(-5, 16) and D(-8, 11),
find the value of y So
that AB is perpendicular CD

y=8

Step-by-step explanation:

(y-2)/(-1-9)=(y-2)/-10    (11-16)/(-8-(-5))=-5/-3=5/3  Perpendicular slope is -3/5

(y-2)/10=-3/5 cross multiply 5(y-2)=3(10)    5y-10=30   add 10 to both sides

5y=40  divide both sides by 5 and y is equal to 8.

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)  

1.30

step-by-step explanation: