Do this on paper, please.
First, rotate the larger rectangle about the origin so that it ends up being a vertically-oriented rectangle in the fourth quadrant (next to the smaller rectangle). What would you then have to do to this large, vertical rectangle so that it has the same size and shape as does the small vertical triangle?
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Answer:
It is a function.
Step-by-step explanation:
You can test if a graph is a function if you draw a vertical line anywhere on the graph and you see it hits two points.
This is the table for the graph.
![\left[\begin{array}{ccc}x&y\\-3&0\\0&1\\3&2\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bccc%7Dx%26y%5C%5C-3%260%5C%5C0%261%5C%5C3%262%5Cend%7Barray%7D%5Cright%5D)
Remember these rules:
- Each x value, or input, has its unique y value, or output
- If you draw a vertical line anywhere on the graph, it should only go through one point
We can check these two rules for this graph:
- Does each x value have its own, unique y value? Yes
- If you draw a vertical line anywhere on the graph, does it only go through one point? Yes, there are no overlaps
Keep in mind that two different x-values can have the same y value.
Figure 1:
It has two x values with the same y-values.
Figure 2 and 3:
The vertical line goes through two points. So the same x-value has two different y-values.
-Chetan K
Answer:
20%
Step-by-step explanation:
To find the percent decrease, we do old number subtracted from the new numbers over old.
We do
40 - 32 = 8
Then we put the 8 over the old and get
8/40
In percentage form it would be 20%
Perimeter = (length+width) x 2
Let w units be the width of the rectangle.
Length of the rectangle = 2w
Perimeter:
(2w+w) x 2 = 60
(3w)2 = 60
6w = 60
w = 10
Area:
2(10) x 10
= 20 x 10
= 200 units