A. The slope of the line will change from positive to negative
2 answers:
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We have that an inverse variation in a function is given by:
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
Clearing k we have:
Substituting the value of k we have that the inverse variation is:
For y2 = 3 we have:
Clearing x2 we have:
Answer:
We must find the value of the constant k.
To do this, we substitute the values of x1 = 12, y1 = 15.
We have then:
Clearing k we have:
Substituting the value of k we have that the inverse variation is:
For y2 = 3 we have:
Clearing x2 we have:
Answer:
The x-coordinates of will be the negation of the x-coordinates of
The line segment from S to the y-axis equals the line segment from S' to the y-axis. Similarly, the line segment from T to the y-axis equals the line segment from T' to the y-axis
See attachment for and
In order to solve this question, I will make the following assumptions.
Assume that the coordinates of are
Refer to attachment for illustrations
<u>(1) Reflect </u><u> over y-axis and describe the transformation</u>
To reflect across the y-axis, the following rule must be followed
This means that:
<u>The description of the </u><u>transformation </u><u>is as follows:</u>
Notice that the signs of the x-coordinates and
of both triangles are different.
In other words, if the x-coordinate of one is positive, then the other will have a negative x-coordinate; and vice versa.
<u>(2) Compare the segments and the line of reflection</u>
To reflect across the y-axis means that the reflecting line is the y-axis, itself.
The distance between a point to the y-axis is the absolute value of the x-coordinate.
So, the distance between S and the y-axis is:
The distance between S' and the y-axis is:
We can conclude that the two line segments are equal.
This is the same for other point T and T' because of the formula used above.
<u>From T and T' to the y-axis is:</u>
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