Answer:
a = 2
Step-by-step explanation:
19= 7a +5
19-5=7a
14÷7=a
a=2
 
        
                    
             
        
        
        
Answer:
you literally just translate each shape by the number of squares specified.
Step-by-step explanation:
for example, move shape 1 5 squares to the right, then 4 down. it will be in the middle area of quadrant 1 (where it already is).
 
        
                    
             
        
        
        
Answer:
(a) LM=12 units, LN=35 units, MN=37 units
(b)8 84 units
(c) 210 square units
Step-by-step explanation:
(a)
Since points L and M have same x coordinates, it means they are in the same plane. Also, since the Y coordinates of L and N are same, they also lie in the same plane
Length 
Length 
Length
Alternatively, since this is a right angle triangle, length MN is found using Pythagoras theorem where 

Therefore, the lengths LM=12 units, LN=35 units and MN=37 units
(b)
Perimeter is the distance all round the figure
P=LM+LN+MN=12 units+35 units+37 units=84 units
(c)
Area of a triangle is given by 0.5bh where b is base and h is height, in this case, b is LN=35 units and h=LM which is 12 units
Therefore, A=0.5*12*35= 210 square units
 
        
             
        
        
        
Answer:
y=8x
Step-by-step explanation:
To find the slope, or m, pick 2 points.
I chose (0, 0) and (2, 16)
The use the slope formula
16-0/2-0
16/2
8
to find the y-intercept, or b, find the point where the line crosses the y-axis, which is (0, 0). Take the y-coordinate, which is 0.
So, 
y=8x+0
or y=8x