Which graph correctly represents x + 2y ≤ 4?

Graph is attached below

Step-by-step explanation:

First we replace inequality sign by = sign

x+ 2y = 4

Subtract x on both sides

divide by 2 on both sides

Make a table for graphing, plug in some numbers for x and find out y

x           y

-2         3

0           2

2          1

Now graph the table

For shading use test point (0,0)

 is true

So we shade the region that contains (0,0)

geometry: triangles

solvers

lessons

answers archive

call the larger triangle abc

then the smaller triangle cde is similar to abc (all angles are equal, aaa).  

ab is the side that is 36, and we wish to find de, the side corresponding to ab

area_cde = area_abc - area_cde --> area_abc / area_cde = 2

let x=length of de

ratio of areas = (ratio of sides)^2

+2+=+%2836%2fx%29%5e2+

+2+=+1296%2fx%5e2+

++x%5e2+=+1296%2f2+=+648+

25.45584