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 :)
Answer:
răspuns corect 2
Step-by-step explanation:
dami coroana te rog
Answer:
n = 4
Step-by-step explanation:
Unit: 1.14 Unit Test: Introduction to Logic and Euclidean Geometry - Part 1
Answer:
100
Step-by-step explanation:
Hello! to calculate the number of tiles needed for the floor you need two things
1. number of tiles that fit across the width, this is achieved by dividing the total width by the width of each tile
Width=20ft=240in
2.number of tiles that fit in the logitude, this is achieved by dividing the total length by the length of each tile.
leght=30ft=360in
Finally, you multiply the number of tiles that fit in width by the number of tiles that fit in length.
N=10X10=100
