<span><span>Given the equation of a circle"<span>x^2 + y^2 - 4x +6y -36 = 0</span>We will use completing the square method to rewrite the equation into the form:(x-a)^2 + (y-b)^2 = r^2 where (a,b) is the center and r is the radius.Let us rewrite the terms.==> x^2 - 4x + y^2 + 6y = 36Now we will complete the square for both x^2 ands y^2.We will add [( coefficient of x)/2]^2 and [(coefficients of y)/2]^2 to both sides.Then we will add :(4/2)^2 = 2^2 = 4(6/2)^2 = 3^2 = 9Then we will add 4 and 9 to both sides.==> x^2 - 4x +4 + y^2 + 6y + 9 = 36 + 4 + 9==> (x-2)^2 + (y+3)^2 = 49==> (x-2)^2 + (y+3)^2 = 7^2Now we will compare the equation withe the standard form of a circle.Then we conclude that:<span>The center of the circle is: ( 2, -3) and the radius is 7.</span></span></span>
Answer:
:)
Step-by-step explanation:
300/60%=180
Answer:
y is 30
Step-by-step explanation:
For this case by similarity of triangles we can use the following relationship:
(x) / (11) = (2) / (10)
We clear the value of x:
x = ((2) / (10)) * (11)
Rewriting:
x = ((1) / (5)) * (11)
x = 2.2
Equivalently:
x = 22/10
x = 11/5
Answer:
The value of x is:
x = 2.2
Equivalently:
x = 11/5
Answer: 97/20 or 4 17/20
Step-by-step explanation:
5/1 - 3/20 = 97/20, to an improper fraction gives 4 17/20
