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 :)
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Answer:B
Step-by-step explanation: I said that because you have 27 and 50 Cent so basically you won't have that $5 in that picture because you still going to have that $0.04 and then you still have to have that much so I I think I am right but if I'm not I'm so sorry but I'm taking not even to get I'm trying to get back on track but I think is b for a reason like I think you could be because you have 27 and 50 Cent so if you got twenty-seven fifty cents you just rounding it down
A parachute is describing at rate of 28 feet per minute find the total change of altitude of the parachuter after 4 mins.
112 feet
Answer:
D. 1800°
Step-by-step explanation:
The given polygon has 12 sides.
The formula for finding the sum of the interior angles of an n-sided polygon is given as, ( n − 2 ) × 180.
Where n is the number of sides of the polygon.
Thus, the sum of the interior angles of the 12 sided polygon given above is:
(12 - 2) × 180
= 10 × 180 = 1800°
<em>Sum of the measures of the interior angles of the 12-sided polygon is D. 1800°</em>
Find a line going through the point
(0, -7/5) and perpendicular to the equation 3x - 2y = 6.
3x - 2y = 6
-2y = -3x + 6
y = (3/2)x - 3
The slope of the equation we seek must be the negative reciprocal of (3/2), which is -2/3.
So, m = -2/3
Use the point-slope formula. See the picture.
