Answer:
6.
Step-by-step explanation:
This is [p(2+h)) - p(2) ] / ((2 + h - 2)
= [ 6(2) + h) + 7 - (6(2) + 7)] / h
= ( 12 + 6h + 7 - 12 - 7) / h
= 6h / h
= 6.
Answer: B
Step-by-step explanation:
As the exercise says, the triangles are similar. So, we can set up proportions between correspondent sides.
In order to solve for x we can set up the proportion between the horizontal and vertical sides:

Solving this proportion for x implies 
Now you can solve for m and p using the pythagorean theorem, because both triangles are right:

Then, we know that the hypothenuse of the big triangle is m+p, so we have

which implies
