In degrees, what is the sum of the exterior angles of a square?
2 answers:
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Answer:
Step-by-step explanation:
We want to find the equation of a circle with a center at (7, 2) and a point on the circle at (2, 5).
First, recall that the equation of a circle is given by:
Where (<em>h, k</em>) is the center and <em>r</em> is the radius.
Since our center is at (7, 2), <em>h</em> = 7 and <em>k</em> = 2. Substitute:
Next, the since a point on the circle is (2, 5), <em>y</em> = 5 when <em>x</em> = 2. Substitute:
Solve for <em>r: </em>
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Simplify. Thus:
Finally, add:
We don't need to take the square root of both sides, as we will have the square it again anyways.
Therefore, our equation is:
To find the slope (m), use the slope formula:
and plug in the two points
(4, -4) = (x₁, y₁)
(6, -6) = (x₂, y₂)
[lines usually go from left to right, so the point furthest to the left is the 1st point]
[two negative signs cancel each other out and become positive]
m = -1