Answer:
Translation
Step-by-step explanation:
To keep a shape congruent or the same then you can Translate or to slide the shape not to change any sides.
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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Answers:
9). 45/9 = 5
10). 2 *14² = 2* 196 = 392
11). 5 * 12 * 7 = 60 * 7 = 420
12). 1/2 * 9 * 12 = 54
13).1/2(24)(9 + 21) = 12 * 30 = 360
14). 14 * 13 = 182
15). 16 * 8 * 5 = 640
16). 75/5 = 15
17). 2(5²) = 2 * 25 = 50
18). 8(2.5 + 4.2) = 8 * 6.7 = 53.6
19). 1/2(3)(5 + 6) = 33/2 = 16.5
20). 3.14(6²) = 3.14 * 36 = 113.04
"97.5" will be the American women's % having their shoe sizes that are no more than 11.33.
Given values are:
- Mean = 8.33
- Standard deviation = 1.5
Now,
= 
=
(2 above Standard deviation)
→ The data values are between 8.33 and 11.33,
= 
=
(%)
→ The data value below 11.33,
=
(%)
hence,
→ The percentage of American women will be:
= 
=
(%)
Thus the above answer is appropriate.
Learn more about empirical rule here:
brainly.com/question/18529739