Answer:
13
Step-by-step explanation:
Here's a method of finding the area of any polygon knowing its vertices. I'm using this parallelogram as an example.
Make a table like this (each vertex with its x- and y-coordinates):
Pt x y
A 3 6
B 6 5
C 5 1
D 2 2
A 3 6
Now multiply each x-coordinate by the y-coordinate on the line below and write it on the right side. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15
C 5 1 6
D 2 2 10
A 3 6 12
Now multiply each y-coordinate by the x-coordinate on the line below and subtract from each produce you already have. Do each subtraction. Bold type shows the first multiplication.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
Add all the differences.
x y
A 3 6
B 6 5 15 - 36 = -21
C 5 1 6 - 25 = -19
D 2 2 10 - 2 = 8
A 3 6 12 - 6 = 6
+____
-26
The area of the polygon is the absolute value of half of the sum of the differences.
area = |-26/2| = |-13| = 13
Answer:
2/3
Step-by-step explanation:
5/6 - (1/8÷3/4)
=5/6 - (1/8 × 4/3)
=5/6 - ( 1/6)
=4/6
=2/3
Answer:
C
Step-by-step explanation:
2|6+p|-3p³,
when p=-2
2|6+p|-3p³=2|6-2|-3(-2)³
=2(4)-3(-8)
=8+24
=32
D is your answer because the bar is 4 and you must have an equal amount of plates on each side so it cannot be B. It goes up by 40 because of 2 plates on each side of the bar
X-intercept => 2x = 6 => x = 3
x-intercept is 3.
y-intercept => 3/2y = 6 => y = 4
y-intercept is 4.
z-intercept => 3z = 6 => z = 2
z-intercept is 2.
