Solution :
From the figure,
The coordinates of --
A = (-5,-3)
B = (-6,-1)
C = (-3,-1)
D = (-2,-3)
When it undergoes reflection about x-axis, we have the coordinates of the quadrilateral as
A' = (-5,+3)
B' = (-6,+1)
C' = (-3,+1)
D' = (-2,+3)
Now A'B'C'D' is translated 3 units to right, so the coordinates will be --
A" = (-2,3)
B" = (-3,1)
C" = (0,1)
D" = (1,3)
When the quadrilateral moves third and two units up, we get
A"' = (3,3)
B"' = (2,1)
C"' = (5,1)
D"' = (6,3)
Answer:
8 hours 20 minutes
Step-by-step explanation:
Given that :
Time Rachel left for school = 7:45 a.m
Time she returned Home = 4:05 p.m
Time for which Rachael was gone :
4:05 p.m - 7:45 a.m
7:45 a.m to 3:45 p.m= 8 hours
3:45pm to 4:05 pm = 20 minutes
= 8 hours 20 minutes
Rachael was gone for 8 hours 20 minutes
Simplify:
3x + 4[2x -3x -3 -20x] = 25x +100
3x + 4(-21x -3) = 25x + 100
3x - 84x -12 = 25x + 100
-81x -12 = 25x + 100
Add 12 and Subtract 25x from each side
-106x = 112
X = -112/106
X = -56/53
^^^^^^^^^^
Final Answer^^
Answer:
B. Graph 2 represents a proportional relationship, but graph 1 does not.
Step-by-step explanation:
All proportional relationships pass through the origin. Graph 2 does but Graph 1 does not. Additionaly, Graph 2 is a straight line that represents a proportional relationship. Another way to find out if it is proportional is to find the constant of proportionality by dividing the y by the x in different parts of the line. The numbers should all have the same constant of proportionality.
Examples (all found in Graph 2):
15/3 = 5
10/2 = 5
5/1 = 5