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 :)
Hey once again !
I will explain you how to get the answer...
What I did is multiply $21,500 times 30 = $645,000
Then I multiplied $65,470 times 30 = $<span>1,964,100</span>
After I had multiplied, I subtracted the results.
$645,000 - $1,964,100 = $1,319,100
So the difference is $1,319,100
I hope I was able to help you out ! :D
Answer:
the answer is -x5 + 7x3 + 11x2 + 10x - 4
Step-by-step explanation:
Answer:
4.) y= 3x-2 6) y= 4
Step-by-step explanation:
4.
m= 3 , (-2,-8)
y-(-8) = 3(x-(-2))
y+8= 3x+6
y= 3x-2
6.
m= 0 , (5,4)
y- 4= 0(x-5)
y= 4
y= 4
The answer to that question is x=1
