To determine the effect of the radius changes to the coefficients, we need to rewrite the form of the equation into:
(x−α)²+(y−β)²=r²
From the equation, we will see that:
C=−α∗2
D=−β∗2
and α²+β²−r²=E
where r represents the radius of the circle and α,βare the coordinate of the center of the circle.
Therefore, when the r decreases the coefficients C and D do not change but E increases.
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Answer:
Quilt A: 35 green squares.
Quilt B: 12 blue squares.
Step-by-step explanation:
Based on the diagram, there are 3 blue squares for every 5 green squares. Then the ratio can be expressed as:
Therefore, knowing the ratio, you can calculate:
- The number of green squares (<em>G)</em> in quilt A, as following:
- The number of blue squares (<em>B)</em> in quilt B, as following:
6n would be the amount of money they got from selling the tickets to the students.