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:
15
Step-by-step explanation:
5/6 * 18
Rearranging
5 * 18/6
5 *3
15
A .
this is false
There’s no answer for x and y
Answer:
Total cost = <em>$</em> 4.55
Step-by-step explanation:
2(8a + 5b) -(2a + 3b)
<em>Part A: Simplify the expression shown above</em>
Exapanding the brackets;
16a + 10b - 2a - 3b
Collecting like terms;
16a - 2a + 10b - 3b
14a + 7b
<em>Part B: If a represents apples that cost $0.25 each and b represents bananas that cost SO. 15 each, what is the total cost based on the expression above?</em>
a = 0.25
b = 0.15
14a + 7b
Inserting the values into the equation;
14 (0.25) + 7(0.15)
Total cost = <em>$</em> 4.55
