Answer: Length = 24; width =4
Step-by-step explanation
Since the ratio of the length to width is 6:1
Let the length be represented as 6x
And the width be = x
Such that that the Perimeter of the rectangle which is
Perimeter = 2(length + width) becomes
56 = 2(6x + x)
56/2 = 6x+x
28 = 7x
x = 4
Width = 4
Length = 6x= 6 x 4 = 24
There is only one solution
We know that
the equation of a circle is
(x-h+(y-k)²=r²
where (k,k)----> is the center
and
r----> is the radius
y²+2x+x²-24y= -120
Group
terms that contain the same variable
(y²-24y)+(x²+2x)=-120
Complete
the square twice. Remember to balance the equation by adding the same constants
to each side
(y²-24y+144)+(x²+2x+1)=-120+144+1
<span>Rewrite as perfect squares</span>
(y-12)²+(x+1)²=25
(x+1)²+(y-12)²=5²
the answer isthe coordinates of the center are (-1,12)the radius is 5 units
