Please solve this question(:
2 answers:
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Answer:
Step-by-step explanation:
Assuming this complete problem: "A cell tower is located at (-8, 4) and transmits a circular signal that covers three major cities. The three cities are located on the circle and have the following coordinates: G (-4, 7), H (-13, 4), and I (-8, -1). Find the equation of the circle"
For this case the generla equation for the circle is given by:
From the info we know that the tower is located at (-8, 4) so then h = -8 and k = 4, so then we need to find the radius. So we have the equation like this:
If the 3 points are on the circle then satisfy the equation. We can use the first point (-4,7) and if we replace we can find the value for
So then
And if we replace the second point we got this:
And for the third point we have:
And we got the same result.
So then our final equation is given:
Step-by-step explanation:
Simply use the general equation of a circle to obtain its equation given the center. Because radius is 5 units, this may be referred to the 3-4-5 triangle, meaning the point on circumference is 3 units across in the x-direction and 4 units up in the y-direction.
