Figure EFGH on the grid below represents a trapezoidal plate at its starting position on a rotating machine platform:
1 answer:
When a shape is rotated, it must be rotated through a center.
<em>The arcs from EFGH to E'F'G'H would form concentric circles</em>
From the question, we have:
When the trapezoid is rotated by , the new points would be gotten from the following transformation rule:
So, the points of E'F'G'H are:
<em>See attachment for illustration of EFGH and E'F'G'H' (the figure is not drawn to scale)</em>
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From the attached image, we can see that when the points of EFGH are connected to E'F'G'H', they form concentric circles i.e. the circles have the same center.
Hence, the true statement is: <em>(d) They form concentric circles.</em>
Read more about concentric circles at:
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Given:
The cost of each carnival ticket is $5.
To find:
The equation, table of values and graph for the given problem.
Solution:
Let x be the number of tickets and y be the total money spent on tickets.
Cost of one ticket = $5
Cost of x tickets = $5x
So, total cost is
The required equation is .
At x=1,
At x=2,
At x=3,
The required table of values is
x y
1 5
2 10
3 15
So, the required table of values is table A.
From the above table, it is clear that the graph passes through the point (1,5), (2,10) and (3,15). The graph B passes through these points.
So, the required graph is graph B.
Since the required answers are , table A, graph B, therefore the correct option is B.