Answer:
(13.8,1.42) (18,3.7)(16.7,3.21) and so on REMEMBER ITS (X,Y)
Step-by-step explanation:
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:
Height of the cylinder = 1.60yd
Step-by-step explanation:
Volume of a cylinder =
V = πr^2h
V - volume of cylinder
π - 3.142
r - radius of cylinder
h - height of cylinder
We are provided with
V - 80
r - 4
π - 3.142
h - ?
80 = 3.142 * 4^2 * h
80 = 50.272 * h
To find h, divide both sides by 50.272
80/50.272 = 50.272h/ 50.272
1.599 = h
h = 1.60yd
Since .68 is 68/100, you can simplify to 17/25.
Answer:
yes because a is the answer
Step-by-step explanation:
