< 3 de 13 Suppose f(x)=2x3+11x2 18x+9 has a zero at -3. What are the other solutions?
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Note: The image of G after the dilation must be G'(5,-5) instead of G'(5,5).
Given:
The vertices of a rectangle are E(4,8), F(2,8), G(2,-2) and H(-4,-2).
The rectangle is dilated with the origin as the center of dilation so that G's is located at (5,-5).
To find:
The algebraic representation that represents this dilation.
Solution:
If a figure is dilated by factor k with origin as the center of dilation, then the dilation is defined as:
...(i)
Let the given rectangle is dilated by factor k with origin as the center of dilation. Then,
The image of G after dilation is G'(5,-5). So,
On comparing both sides, we get
So, the scale factor is .
Substituting in (i), we get
Therefore, the required algebraic representation to represents this dilation is .
Shown below
<h2>Explanation:</h2>
The stairway to a cellar has a slope of -4/3, that is:
On the other hand, the cellar is 2m below the ground. In other words:
So this can be modeled by the equation of the line:
The line has a y-intercept at point (0, -2) and as x increases 3 units y decreases 4 units. So:
Finally, let's draw a line that passes through:
By using graphing tool, we get the line shown below.
<h2 /><h2>Learn more:</h2>Rules of translation: brainly.com/question/14200511#
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