The trapezoid doesn't share a common side.
Answer:
Answer C I think
Step-by-step explanation:
There is no table? Maybe you could add one then I could help. :)
In graphs of linear relationships, you can always determine a proportional linear relationship by observing where the line crosses the y axis. If the line crosses through the origin, then the relationship is proportional. This means that the independent data(in this case time) can be multiplied by a constant factor to always get it's related dependent piece of data.
From the graph you might notice some data points for Gary: At 2mins he completes 1.5 knots or the ordered pair (2, 1.5). We see another data point at 4mins he completes 3 knots or the ordered pair (4,3). How about the ordered pair (6, 4.5)? Notice that if I multiply the "x" coordinate of all these ordered pairs by 0.75, I get the "y" coordinate. Or maybe another way to look at it, the "y" coordinate of each point on the line divided its corresponding "x" coordinate will always produce the same number, 0.75. This number, 0.75, is called the constant of proportionality.
So, the answer to this problem is choice "D"
Summary: To identify proportional linear relationship from a graph, look for the line that goes through the origin. To find the constant of proportionality, determine the coordinates of a convenient point on the line and divide the y coordinate by the x .
Answer:
Point A reamains unchanged.
Step-by-step explanation:
Let
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4, 1)
REFLECTED OVER Y-AXIS:
When we reflected over Y-AXIS we have to change the sign of X-Coordinates of all vertices so, above given vertices becomes
A(-1, -1)
B(-1, 1)
C(4, -1)
D (4, 1)
REFLECTED OVER X-AXIS:
When we reflected over X-AXIS we have to change the sign of Y-Coordinates of all vertices so, above given vertices becomes
A(-1, 1)
B(-1, -1)
C(4, 1)
D (4,-1)
When we rotated over 180 degree than we have to change the signs of both coordinates of all vertices
A(1, -1)
B(1, 1)
C(-4, -1)
D (-4,1)
we can see that after the opertion of all three processes i.e reflected over the y-axis, reflected over the x-axis, and rotated 180ºrespectively vertices are same as original vertices so, Rectangle remain unchanged. and point A is also unchanged
