Answer:
Step-by-step explanation:
First and foremost, all quadratics have a domain of all real numbers (as long as we are not given only a portion of the graph, or one with endpoints. Our graph does not have endpoints, so it is assumed that the tails will continue to go down into negative infinity and at the same time, the x coordinates will keep growing as well.) Since our quadratic is upside down, it has a max. That means that none of the values on the graph will be above that point. All the values will be below that highest point (the highest y-value). Y-values indicate range, and since our highest y-value is at y = 2, then the range is
y ≤ 2
P = 2(L + W)
P = 192
L = 2W
192 = 2(2W + W)
192 = 2(3W)
192 = 6W
192/6 = W
32 = W <=== the width is 32 yards
L = 2W
L = 2(32)
L = 64 <=== the length is 64 yards
The 9-sided polygon will have a central angle between the vertex and the center of one side of 360°/(2*9) = 20°. Then the apothem is
a = (6 in/2)*cot(20°) ≈ 8.242432 in
The perimeter is 9*6 in = 54 in, so the area is
A = (1/2)Pa = (1/2)*(54 in)*(8.242432 in) ≈ 222.5 in²
Answer:
-12 < p
Step-by-step explanation:
28 > 4 – 2p
Subtract 4 from each side
28-4 > 4-4 – 2p
24 > -2p
Divide each side by -2, remembering to flip the inequality
24/-2 < -2p/-2
-12 < p
