The figure ABCD is transformed to A'B'C'D', as shown:

Mathematics

1 answer:

8_murik_8 [283]3 years ago

3 0

Top points A and B are still top points A' and B', so the figure was not reflected across the x-axis. (That refelection reverses top and bottom.)

The figure is reversed left-to-right, so was reflected across the y-axis. The only viable choice is the 3rd one:

... Reflection about the y-axis followed by translation up by 5 units.

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Answer: After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.

Step-by-step explanation:

Given: Sharon is conducting research on two species of birds at a bird sanctuary.

The number of birds of species A is represented by the equation below,where S represents the number of birds, x years after beginning her research.

$S=2^x+12$

The number of birds of species B is represented by the equation below,where S represents the number of birds, x years after beginning her research.

$S=15x+35$

To plot the above function, first find points by which they are passing.

For species A, At x=0 , $S=1+12=13$

At x=2 , $S=2+12=14$

Similarly find more points and plot curve on graph.

For species A, At x=0 , $S=0+35=35$

At x=2 , $S=15+35=50$

Plot a line with the help of these two points.

Now, from the graph the intersection of curve (for A) and line (for B) is at (7,140) which tells that After 7 years the number of birds of species A and B are same. and the number of birds during that year will be 140.