Posted by Ron on Sunday, August 26, 2012 at 1:54am.
#4 should be A) 6 cm.
I have a strong feeling your equation was meant to say
5/(y+4) + 11/(y^2 + y - 12) = 7/(y-3)
because of the proximity of the + and = signs, also since y^2 + y - 12 = (y+4)(y-3)
so multiply each term by y^2 + y - 12
5(y-3) + 11 = 7(y+4)
5y - 15 + 11 = 7y + 28
-2y = 32
y = -16
width --- x
length ---- 2x+2
2(2x+2 + x) = 40
6x + 4 = 40
6x = 36
x = 6
so the length is 2(6) + 2 = 14
You left out the operation sign, I will assume it is >
|x+4| > 6
x+4>6 or -x-4 >6
x>2 or -x > 10
x> 2 or x < -10
if the statement was |x+4| < 6
we would have
-10 < x < 2
call me old-fashioned but my notation is more indicative than the "interval" notation that seems to be used quite often these days.
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