## given that oa=2x+9y ob=4x+8y and cd= 4x-2y, explain the geometrical relationships between the straight lines ab and cd mathswatch answer

Question

Lost your password? Please enter your email address. You will receive a link and will create a new password via email.

## Answers ( )

The geometrical relationships between the straight lines ab and cd

is

the straight line ab is parallel to the straight line cdStep-by-step explanation:Let us revise some notes:

∵ oa = 2 x + 9 y

∵ ob = 4 x + 8 y

∵ ab = OB – OA

∴ ab = (4 x + 8 y) – (2 x + 9 y)

∴ ab = 4 x + 8 y – 2 x – 9 y

– Add like terms

∴ ab = (4 x – 2 x) + (8 y – 9 y)

∴ ab = 2 x + -y

∴ ab = 2 x – y

∵ The slope of ab =

∵ Coefficient of x = 2

∵ Coefficient of y = -1

∴ The slope of ab =

∵ cd = 4 x – 2 y

∵ Coefficient of x = 4

∵ Coefficient of y = -2

∴ The slope of cd =

∵ Parallel lines have same slopes

∵ Slope of ab = slope of cd

∴ ab // cd

The geometrical relationships between the straight lines ab and cdis the straight line ab is parallel to the straight line cdLearn more;You can learn more about the parallel lines in brainly.com/question/10483199

#LearnwithBrainly