Answer:
Perimeter of shape,which is a convex polygon i.e quadrilateral = 24.2 in
Sides are 8.3 in, 8.3 in, 3.8 in ,and length of fourth side be x in.
As , Perimeter = Sum of all sides
→ 24.2 = 8.3 + 8.3 + 3.8 + x
→ 24.2 = 16.6 +3.8 + x
→ 24.2 = 20 .4 + x
Keeping like terms on one side, of equation
→ 24.2 - 20.4 = x
→ 3.8 = x
→ x = 3.8
So, length of fourth side = 3.8 in
The given shape is definately either a Parallelogram or a kite.
Answer:
8n - (2n + 11 - 54) =
Step-by-step explanation:
6n + 43, I used a calculator !
Option A. All the real values of x where x < -1
Procedure
Solve the inequality:
(x -3)(x+1)>0
That happens in two cases.
1) When both factors >0
x-3>0 and x+1>0
x>3 and x >-1
The intersection is x >3
2) When both factors <0
x-3<0 and x+1<0
x<3 and x<-1
the intersection is x<-1.
We have obtained that the function is positive for the intervals x < -1 and x > 3. But in one of those intervals the function is decresing and in the other is increasing.
You can recognize that the function given is a parabola and, because the coefficient of the quadratic term is positive, the parabola opens upward. Then the function is decreasing in the first interval and increasing in the second interval.
The answer I'm pretty sure is B but I can't really explain it, sorry