Answer:
neither
Step-by-step explanation:
find the slopes of FG and HJ using the slope formula (y_2-y_1)/(x_2-x_1)
FG: (-1+3)/(-2-1)=2/-3=-2/3
HJ: (3-0)/(6-5)=3/1=3
perpendicular lines have slopes that are the negative reciprocal of each other. -2/3's negative reciprocal is 3/2 which isn't 3. the lines aren't parallel or perpendicular
First of all, when I do all the math on this, I get the coordinates for the max point to be (1/3, 14/27). But anyway, we need to find the derivative to see where those values fall in a table of intervals where the function is increasing or decreasing. The first derivative of the function is

. Set the derivative equal to 0 and factor to find the critical numbers.

, so x = -3 and x = 1/3. We set up a table of intervals using those critical numbers, test a value within each interval, and the resulting sign, positive or negative, tells us where the function is increasing or decreasing. From there we will look at our points to determine which fall into the "decreasing" category. Our intervals will be -∞<x<-3, -3<x<1/3, 1/3<x<∞. In the first interval test -4. f'(-4)=-13; therefore, the function is decreasing on this interval. In the second interval test 0. f'(0)=3; therefore, the function is increasing on this interval. In the third interval test 1. f'(1)=-8; therefore, the function is decreasing on this interval. In order to determine where our points in question fall, look to the x value. The ones that fall into the "decreasing" category are (2, -18), (1, -2), and (-4, -12). The point (-3, -18) is already a min value.
13 3/39 is too big, it's greater than 9, so that one is out.
16 is an integer, so that one is out too. 99/6 = 16.5, which is greater than 9, so it can't be right
So the answer is the other 3
The area of a trapezoid can be found by the formula:
A = [(B + b) × h] / 2
where:
B = major base = 36 in
b = minor base = 30 in
h = height = 24 in
Therefore, with the given data you can calculate the area by applying the formula:
<span>A = [(36 + 30) × 24] / 2
= [66 </span><span>× 24] / 2
= 792 in</span>²
Hence, the area of the trapezoid is 792 in<span>².</span>