Answer:
22 units 
Step-by-step explanation:
The perimeter of a polygon is said to be the sum of the length of it's sides.
From the question, we have 5 vertices. This means the polygon is a pentagon. It's given vertices are
A = (−1, 3) 
B = (−1, 6) 
C = (2, 10) 
D = (5, 6) 
E = (5, 3) 
To find the distance between two points, we use the formula 
d = √[(y2 - y1)² + (x2 - x1)²]
Between A and B, we have
d(ab) = √[(6 - 3)² + (-1 --1)²]
d(ab) = √(3²) + 0
d(ab) = √9 = 3
Between B and C, we have 
d(bc) = √[(10 - 6)² + (2 --1)²]
d(bc) = √[4² + 3²]
d(bc) = √(16 + 9) = √25 = 5
Between C and D, we have 
d(cd) = √[(6 - 10)² + (5 - 2)²]
d(cd) = √[(-4)² + 3²]
d(cd) = √(16 + 9) = √25 = 5
Between D and E, we have 
d(de) = √[(3 - 6)² + (5 - 5)²]
d(de) = √(-3)² + 0
d(de) = √9 = 3
Between E and A, we have 
d(ea) = √[(3 - 3)² + (5 --1)²]
d(ea) = √[0 + (6)²]
d(ea) = √36 = 6
The perimeter is given as 
d(ab) + d(bc) + d(cd) + d(de) + d(ea) = 
3 + 5 + 5 + 3 + 6 = 22 units 
 
        
             
        
        
        
Basically the question is asking YOU when you hear “system of equations” what do you think about it - what do you already know about system of equations. Basically. Btw enjoy this picture.
 
        
        
        
Answer:
2.80
Step-by-step explanation:
The discount is the regular price times the discount
discount = 19 *15%
discount = 2.85
The new price is the regular price minus the discount
new price = 19-2.85
                  =16.15
Now she has to pay the sales tax
tax = new price * tax rate
tax= 16.15 * 6.5%
      = 16.15 *.065
        =1.05
We add the tax to the new price to get the final price
final price = new price+tax
                 = 16.15 +1.05
                 =17.20
She pays with a 20 dollar bill
Change = payment - final price
               =20.00 - 17.20
               = 2.80