Answer:
We know that the equation of the circle in standard form is equal to <em>(x-h)² + (y-k)² = r²</em> where (h,k) is the center of the circle and r is the radius of the circle.
We have x² + y² + 8x + 22y + 37 = 0, let's get to the standard form :
1 - We first group terms with the same variable :
(x²+8x) + (y²+22y) + 37 = 0
2 - We then move the constant to the opposite side of the equation (don't forget to change the sign !)
(x²+8x) + (y²+22y) = - 37
3 - Do you recall the quadratic identities ? (a+b)² = a² + 2ab + b². Now that's what we are trying to find. We call this process <u><em>"completing the square"</em></u>.
x²+8x = (x²+8x + 4²) - 4² = (x+4)² - 4²
y²+22y = (y²+22y+11²)-11² = (y+11)²-11²
4 - We plug the new values inside our equation :
(x+4)² - 4² + (y+22)² - 11² = -37
(x+4)² + (y+22)² = -37+4²+11²
(x+4)²+(y+22)² = 100
5 - We re-write in standard form :
(x-(-4)²)² + (y - (-22))² = 10²
And now it is easy to identify h and k, h = -4 and k = - 22 and the radius r equal 10. You can now complete the sentence :)
11c-4c = 7c
5c+2c= 7c
3c+7c= 10c
11c-4c= 5c+2c =A
Answer:
19 yds
Step-by-step explanation:
On the assignment in the sections it tells you how to find it.
Based on the populations of the town from 2000 to 2008, the average rate of change of the population between 2002 and 2004 is -6.1%
The average rate of change between 2002 and 2006 is -4.88%
<h3>What is the average rate of change?</h3>
The average rate of change can be found as:
=Change in population / Population in base year
The average rate of change in population between 2002 and 2004 is:
= (77 - 82) / 82
= -6.1%
The average rate of change in population between 2002 and 2006 is:
= (78 - 82) / 82
= -4.88%
Find out more on the average rate of change at brainly.com/question/23434598
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Answer:
The answer is 8 - 4i
you collect the like terms
