Answer:
91
Step-by-step explanation:
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Answer:
calculus, geometry, arithmetic among a few
Step-by-step explanation:
Mathematics is involved in winter Olympics in different aspects like arithmetic which helps in scores, measurements, quantities and motion of the sport like hockey, running.
Scoring in ice skating involves arithmetic operation when an individual element is assigned points and judged on performance level( triple axle is 3 points but overall performance and artistry is measured by the judges).
Another is Calculus which helps to understand the change in acceleration and velocities while each skaters start at zero then win, Lines in Geometry such as the finish/start/sight lines helps players with angles of reflection, measuring angles and angles of incidence.
The Standard form of the equation of circle is (x+21)² + (y+19)² = 849
<h3>What is Standard form of circle?</h3>
To transform general form to a standard form, you can use completing the square method or you can convert this equation
x² + y² + Dx + Ey + F = 0 to x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
Here, Given: x² + y² + 42x + 38y − 47 = 0
Required: Find the values of h, k, and r using this formula
x² + y² + (-2h)x + (-2k)y + (h²+k²-r²) = 0
On comparing we get,
-2h = 42
h = 21
-2k = 38
k = 19
-47 = h² + k² - r²
-47 = 21² + 19² - r²
r² = 849
r = √849
Thus, the Standard form of the equation of circle is (x+21)² + (y+19)² = 849
Learn more about Circle from:
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I have website you can use to help with this
https://www.desmos.com/calculator