For this case we are going to define the original coordinates:
(x, y): original coordinates.
We apply the transformation:
(x, y) -------> (-x, y + k)
We have:
-x: reflection on the y axis.
y + k: translation k units up.
Answer:
The point was reflected over the y-axis and translated up.
Answer:
her grandson would be 7 and her granddaughter would be 5.
Step-by-step explanation:
their ages together is 12. we divide that by the two grandchildren, and adjust it to where they are to years apart.
12÷2=6
6+6 + adjusted = 5 and 7.
to fact check 5+7=12, and 7 is two numbers above 5.
Answer: 30.9842843211
Step-by-step explanation:
194.68÷3.14= 61.9685686423
61.9685686423÷2= 30.9842843211
Answer:
68%
Step-by-step explanation:
<em><u>68-95-99.7% Rule:</u></em>
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This is the empirical rule which is used to remember the percentage of values that is within a band of the mean. We say:
- 68% of the data fall within 1 standard deviation of the mean
- 95% of the data fall within 2 standard deviation of the mean, and
- 99.7% of data falls within 3 standard deviations of the mean
Clearly, from the empirical rule, we see that about 68% of the area is between z = -1 and z = 1 (or within 1 standard deviation of the mean)
Letter C
The - 3 at the end of the function means the function is shifted down 3 units. This also shifts the asymptote down 3 units.