Mai Kou X.

asked • 09/20/16

Advance Algebra 2

If 2x-6 is an even integer, what is the next consecutive even integer?
 
a. 2x-5
b. 2x-7
c. 2x-4
d. 2x-8

1 Expert Answer

By:

Arturo O. answered • 09/20/16

Tutor
5.0 (66)

Experienced Physics Teacher for Physics Tutoring

See tutors like this
See tutors like this
It would have to be the integer that is greater than 2x-6 by exactly 2:
 
That would be (2x-6)+2 = 2x-4
 
Answer (c) is correct.
Upvote • 1 Downvote
More
Report

Mai Kou X.

Can you also help with this one?
 
segment BC is Perpendicular to segment CD
segment BC is perpendicular to segment AB
AB = 3
BC = 6
CD = 5
 
what is the length of the shortest path from A to D?
 
a. 14
b. 12
c. 10(square root of 2)
d. 10
Report

09/20/16

Arturo O.

Assuming segment AB is on the same side of segment BC as segment CD, you have a right triangle:
 
height = CD - AB = 5-3 =2
base = BC = 6
AD = hypotenuse = √(22 + 62) = √40 = 2√10
 
The hypotenuse is the shortest path from A to D, but it does not match any of your choices.  Did you mean (c) to 2√10 ?
Report

09/20/16

Arturo O.

If AB is on the opposite side of BC, then the right triangle becomes:
 
height = AB+CD = 3+5 = 8
base = BC = 6
hypotenuse = AD = √(82+62) = 10, which is answer (d).
 
Report

09/20/16

Still looking for help? Get the right answer, fast.

Ask a question for free

Get a free answer to a quick problem.
Most questions answered within 4 hours.

OR

Find an Online Tutor Now

Choose an expert and meet online. No packages or subscriptions, pay only for the time you need.