If 2a-b:2a+b=1:2, find the value of a:b.

a:b = 3:2

Step-by-step explanation:

You are given:

 2a - b        1

=

2a + b        2

Then, through cross-multiplication, we get:

4a - 2b = 2a + b, or

2a = 3b

We want the value of the ratio a:b.  To obtain this, divide both sides by b, which results in

  2a

= 3

    b

Finally, we divide both sides by 2, obtaining the desired ratio:

a:b = 3:2

step-by-step explanation:

once you graph it hit 2nd (the blue button) and graph

that takes you to a table of coordinates

on the left is x coordinates and on the right is y coordinates and an empty box

(you may have to scroll up/down in order to get ( x, 0)

area of part 1:

a1=base*height/2=(8+2)*(8-2-2-1)/2=10*3/2=15 ft^2

area of part 2:

a2=length*width=(8+2)*1=10 ft2

area of part 3:

a3=length*width=8*2=16 ft2

total shaded area : a1+a2+a3=41 ft2

total area of the reactangle : a=16*8=128 ft2

total area of the nonshaded region : 128-41=87 ft2