The center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
<h3>Equation of a circle</h3>
The standard equation of a circle is expressed as:
x^2 + y^2 + 2gx + 2fy + c = 0
where:
(-g, -f) is the centre of the circle
Given the equations
x^2 +y^2 – 12x – 2y +12 = 0
Compare
2gx = -12x
g = -6
Simiarly
-2y = 2fy
f = -1
Centre = (6, 1)
Hence the center of a circle whose equation is x^2 +y^2 – 12x – 2y +12 = 0 is (6,1)
Learn more on equation of a circle here: brainly.com/question/1506955
Parallel lines has equal slopes.
Equation of the line 2x + y + 1 = 0 in slope intercept form is y = -2x - 1 with slope of -2. Therefore, the slope is -2.
According to the question,
6x + 90 = -42
<h3>To Find:</h3>
The value of x.
<h3>Solution:</h3>
6x = -42 + 90
or, x = 48/6
or, x = 8
<h2>Answer:</h2>
The value of x is 8.
In your question where there is an acres which has a circular irrigator with a center pivot and covers 20 acres in the farm, the ask is how long is the irrigation boom in feet from the center to its farthest extent. The best answer that i could give is 526.6 feet.
