Answer:
(7, 8)
Step-by-step explanation:
If Sidney places each piece 3 units east and 2 units north of the last one, we can figure out which coordinate comes first by subtracting the position of the second piece (S) by the position of the first piece (F):

We can conclude that coordinates are in the (East, North) format.
Therefore, the location of the third piece (T) is:

 
        
             
        
        
        
184/8=23
8=alice
9=bernice
18=cheryl
8:9:18=184:207:414
        
             
        
        
        
Answer:
100㏑²
Step-by-step explanation;
first of all you find the base using the pythagoras theorem
that is, √13² - 12² =√25 = 5
so 5 is the base of the right angle in the big isoceles triangle
so the base of the isoceles triangle is 10 [5 + 5]
so for the first triangle the area is 60㏑²
the second triangle is 40㏑²
therefore 60 + 40 = 100㏑²
 
        
             
        
        
        
Answer:
y = -x - 8
Step-by-step explanation:
Midpoint of the line:
x = (x1 + x2)/2 = (-8 + -4)/2 = -12/2 = -6 
y = (y1 + y2)/2 = (-5 + 1)/2 = -4/2 = -2
so midpoint is (-6,-2)
Slope of the line: Slope m = (y2-y1)/(x2-x1)
m = (-1 - -5)/(-4 - -8) = (-1 + 5)/(-4 + 8) = 4/4 = 1
Perpendicular lines have slopes that are negative reciprocals of one another
so slope of the perpendicular line is -1/1 is -1
y = mx + b
y = -x + b
Using (-6,-2)
-2 = -(-6) + b
-2 = 6 + b
b = -8
so y = -x - 8