Answer:
(n+5)² - (n+3)² =
= (n² + 10n + 25) - (n² + 6n + 9)
= n² + 10n + 25 - n² - 6n - 9
= 4n + 16
= 4(n + 4) ⋮ 4
You have the equations set up correctly. I will use r and b as the variables to make it easier to follow.
12r + 8b = 70
20r + 12b = 110
First let's solve one of the equations for one of the variables.
12r = 70 - 8b

Now plug that in for r in the second equation.

Simplify



b = 5 grams
Now plug 5 in for b in one of the original equations to find r.
12r + 8(5) = 70
12r = 30
r = 2.5 grams
So the red marbles weigh 2.5 grams, and the blue marbles weigh 5 grams.
If r is the radius of a sphere its surface area = 4(pi)r^2.
If the radius is doubled then its surface area = 4(pi)(2r)^2 = 4*4(pi)r^2.
So the surface area becomes 4-fold or the increase in surface area is 300%.
Answer:
The attributes of a segment in math are that segments connect two points, have measured length, and it is the shortest distance between those two points.
Hope this helps! :)