8 because 7 is closer to 5 so you round up
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: D) x ≥ -6
Step-by-step explanation:
It is greater than or equal to negative six because the circle is black, and not white with a white outline. The reason it's greater than is because it's going to the right, and going into greater numbers.
Hope this helps. HAVE A BLESSED AND WONDERFUL DAY! As well as a great Valentines Day! :-)
- Cutiepatutie ☺❀❤
Answer:
27
Step-by-step explanation:
13
1
2
1
2
=
27
2
1
2
=27
=27
Answer:
Step-by-step explanation:
The area of a rectangle is given by 
, where 
is the length of the rectangle and 
is the width of the rectangle. Therefore, the area of a 20 x 15 rectangle is equal to 
.
Since one bag of fertilizer covers 30 square feet, the farmer needs 
bags of fertilizer.
