The |...| means absolute value meaning everything inside is a positive number. The first problem is 16+12= 28. |-5|= 5
Side a can be broken into to rectangles having areas:
(12-8)*4 and 8*12 so the area of side A is
A=16+96
A=112cm^2
To make this new triangle I am going to pretend that the original triangle was at the points (4,4) (-4,4) and (0,8). So if this was dilated down by 1/2 then the triangles points would be (2,2) (-2,2) and (0,4). Then if it is reflected over the x-axis the new points would be (2,-2) (-2,-2) and (0,-4) and if it was translated left by 2 units then the points would be (0,-2) (-4,-2) and (-2, -4), then if the triangle was translated up by 4 units the points and the new triangle would be (0,2) (-4,2) and (-2,0). And that would be what the new triangle would be.
The triangle went from (4,4) (-4,4) and (0,8) to (0,2) (-4,2) and (-2,0).
The answer for this is A.
Step-by-step explanation:
5y + 3 > -7y + 13
12y > 10
y > 10/12
y > 5/6
