Compute the Gross Pay for these situations:
1 answer:
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Answer:
1. Figure 3
2. 2881.4 cm³
Step-by-step explanation:
The graph in figure 3 has a curve that fits the data best because it captures most of the points unlike the other two curves.
The curve in figure 3 has the equation;
2.
When using x=8, substitute the value of x in the equation with 8 to get
y = -16.9*64 + 430*8 + 523
y= 2881.4
= 2881.4 cm³
Given:
The scale factor is and the center of dilation is at the point (4,2).
Red is original figure and green is dilated figure.
To find:
The coordinates of point C' and point A.
Solution:
Rule of dilation: If a figure is dilated with a scale factor k and the center of dilation is at the point (a,b), then
According to the given information, the scale factor is and the center of dilation is at (4,2).
...(i)
Let us assume the vertices of red triangle are A(m,n), B(10,14) and C(-2,11).
Using (i), we get
Therefore, the coordinates of Point C' are C'(2,5).
We assumed that point A is A(m,n).
Using (i), we get
From the given figure it is clear that the image of point A is (8,4).
On comparing both sides, we get
And,
Therefore, the coordinates of point A are (16,8).