Answer:
10000
Step-by-step explanation:
10 has 1 zero. 1000 has 3 zeros. Put these zeroes together to get 0000. Add one to the left, and you get 10000.
Add 35 to 140 and then subtract 80 equals $95
35 +140=170 -80
$95
1.0649 to the nearest thousandths is 1.065
You could get this by finding where the thousandths place is, which is the third number.
Now, look at the number to the right.
If it's 5 or higher, round up.
If it's 4 or lower, round down.
Since it is 9, we round up.
The 4 turns into a 5.
So, 1.065
Hope I helped!
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 :)
