The area of a rectangular countertop is 30 square feet. It is 10 feet long. How wide is it?
1 answer:
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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).
Answer:
C- Inverse
Step-by-step explanation:
Logarithmic example:
log₆ of 6, the answer is 1.
Exponential example:
= 6
These are inverses
hope this helps :)