Simplify 2( x - 3) + 7( x + 2). a. 9 x - 8 b. 9 x + 3 c. 9 x + 8

C. 9x + 8

Step-by-step explanation: Multiplied out, this is the long simplified

2x - 6 + 7x + 14.

Add like terms together and you end up with:

9x + 8.

So your answer would be C.

Option C They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half

Step-by-step explanation:

step 1

Find the slope of segment AB

we have

This is the equation of the line into point slope form

The slope m is equal to

step 2

Find the slope of segment CD

we have

This is the equation of the line into point slope form

The slope m is equal to

step 3

we know that

If two lines are perpendicular, then the product of their slopes is equal to -1

In this problem

mAB=2  and mCD=-1/2

so

(2)*(-1/2)=-1

so

The lines are perpendicular

therefore

They are perpendicular because they have slopes that are opposite reciprocals of 2 and negative one half