Not sure what the question is
But 1/4 as a decimal gives us 0.25
we know that
the perimeter of the rectangle is equal to
where
P is the perimeter of the rectangle
W is the width of the rectangle
L s the length of the rectangle
In this problem
Substitute the values in the formula above
therefore
the answer is
the length of the longer side of the rectangle is equal to
X²+15x+36<0
at first solve quadratic equation
D=b²-4ac= 225-4*1*36= 81
x=(-b+/-√D)/2a
x=(-15+/-√81)/2= (-15+/-9)/2
x1=(-15-9)/2=-12
x2=(-15+9)/2=-3
we can write x²+15x+36<0 as (x+12)(x+3)<0
(x+12)(x+3)<0 can be 2 cases, because for product to be negative one factor should be negative , and second factor should be positive
1 case) x+12<0, and x+3>0,
x<-12, and x>-3
(-∞, -12) and(-3,∞) gives empty set
or second case) x+12>0 and x+3<0
x>-12 and x<-3
(-12,∞) and (-∞,-3) they are crossing , so (-12, -3) is a solution of this inequality
A compound event, I believe
Your sloe would be 2/3x because that fraction is rise over run so you go up two and over three positive the -3 is your intercept but he fraction simplified is your slope good luck