The require degenerative circle is (x - 5)² + (y - 1)² = 0. Option C is correct.
Given that,
The equation for the degenerative circle is to be determined.
<h3>What is a circle?</h3>
The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by
(x - h)² + (y - k)² = r²
where h, k is the coordinate of the circle's center on the coordinate plane and r is the circle's radius.
The degenerative circle is a circle whose radius is zero, from the option,
Option C has the equation of the circle with radius zero.
Thus, the required degenerative circle is (x - 5)² + (y - 1)² = 0.
Learn more about circle here:
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In y = mx + b...the slope is in the m position and the y intercept is in the b position.
y = -7x - 2
slope(m) = -7
y int (b) = -2...or (0,-2)
The probability would be 2/6 or 1/3
-2x > 12 OR -2(x + 1) < -10
Each inequality is solved separately.
The first one, divide both sides by -2, when you divide by a negative, you change the inequality sign.
So x < 6
For the second inequality, distribute the -2, this gives us -2X -2< -10.
Add 2 to both sides.
-2x < -8
Divide both sides by -2.
When dividing by a negative you change the inequality sign
So x > 4
The answer is:
x < 6 OR x > 4
