Answer:
x² + (y + 5)² = 100
Step-by-step explanation:
If the center of the circle is 5 units below the origin, its x coordinate is 0 and its y-coordinate is -5. So, the center of the circle is at (0, -5).
Using the equation of a circle with center (h, k)
(x - h)² + (y - k)² = r² where r = radius of the circle.
Given that r = 10 units, and substituting the values of the other variables into the equation, we have
(x - h)² + (y - k)² = r²
(x - 0)² + (y - (-5))² = 10²
x² + (y + 5)² = 100
which is the equation of the circle.
Answer:
147?
Step-by-step explanation:
Any value which is more than 2 standard deviations away from the mean is considered to be "unusual."
2 standard deviations above the mean 52.4 mp would be 52.4+2(1.8), or 56; 2 std devs below the mean would be 52.4 - 2(1.8), or 48.8. Thus, any value larger than 56 or any value smaller than 48.8 would be "unusual."
54.8, 49.1 and 51.3 are not unusual; 56.5 is unusual, because it's greaster than 56.
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Answer: 6</h3>
Explanation:
List list the multiples of each value
- multiples of 2 = {2, 4, 6, 8, 10, ...}
- multiples of 3 = {3, 6, 9, 12, 15, ...}
- multiples of 6 = {6, 12, 18, 24, ...}
In each list, we see 6 show up. This is the smallest multiple that is in common; therefore, the LCM is 6
Side note: The LCM is useful to help add and subtract fractions.
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