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1 answer:
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Answer:
The two lines of reflection are and
Step-by-step explanation:
I will attach a file with the graph of the rectangle and the lines of reflection.
We know that RSTU is a rectangle with vertices at ,
,
and
The first step is to draw the vertices on the plane and them the rectangle.
The rectangle is a symmetrical figure. Therefore if we want to carry the rectangle onto itself using a line of reflection this line must goes through the centroid of the rectangle.
Given that we have a rectangle whose width is and its length is
its centroid will be place at
.
Looking at the graph and using this information we find that the two lines of reflection are and
.
Answer:
1 solution
Step-by-step explanation:
Jeremy can simplify the equation enough to determine if the x-coefficient on one side of the equation is the same or different from the x-coefficient on the other side. Here, that simplification is ...
-3x -3 +3x = -3x +3 +3
We see that the x-coefficient on the left is 0; on the right, it is -3. These values are different, so there is one solution.
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In the attached, the left-side expression is called y1; the right-side expression is called y2. The two expressions are equal where the lines they represent intersect. That point of intersection is x=3. (For that value of x, both sides of the equation have a value of -3.)
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<em>Additional comment</em>
If the equation's x-coefficients were the same, we'd have to look at the constants. If they're the same, there are an infinite number of solutions. If they are different, there are no solutions.
We are given: Price of stock on 1st January = $10.
And price of stock on 31st january = $12.
Let us represent Day number and Price by coordinate (x,y).
Therefore, coordinates for January month can be written as (1,10) and (31,12).
Price of stock on 1st February = $10.
And price of stock on 28th February = $9.
Let us represent Day number and Price by coordinate (x,y).
Therefore, coordinates for February month can be written as (1,12) and (28,9).
Now, we can plot those two different pairs of coordinates for January and February on the graph.
From the graph, we can see that slope of red line is greater and it is positive and slope of green line is negative(because price decreasing).
Therefore, the price change from $10 to $9 is not a straight line.
Therefore, we can say from January 1 to January 31 the rate is inceasing so the slope is positive then after 1 February the rate started decreasing so the slope became negative.
