The slope is always going to be rise over run so the answer is 3/12 but in simplest form it is 1/4
Answer:
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Step-by-step explanation:
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The <em><u>correct answer</u></em> is:
C.the point of concurrency of the angle bisectors of the triangle
Explanation:
The largest circle that can be drawn inside a triangle is called an inscribed circle. The center of this circle is called the incenter.
The incenter is formed by the intersection of the angle bisectors of all 3 angles in the triangle.
We know that this is a parabola, as the equation is denoted by the x^2 term.
We can see that the symmetry is seen at the point -0.5, therefore making the axis of symmetry the vertical line -0.5.
The vertex is found in quadrant three. In other words, it will shift by a negative value both horizontally and vertically. The vertex is therefore (-0.5, -0.5).
We can verify this in the equations by using the formula (-b/2a) to find the vertex. The only quadratic equation that satisfies this is -2x^2 + 2x -1.
To sum it up, the answers are:
-2x^2 + 2x - 1.
AoS: x = -0.5
Vertex: (-0.5, -0.5).
The answer is <span>B.154/d = 44/14
</span>
<span>In a circle, the circumference (C) and diameter (D) vary directly:
C = kD
k = C/D
Circle 1: k = C1/D1
Circle 2: k = C2/D2</span>
C1/D1 = C2/D2
C1 = 154
D1 = ?
C2 = 44
D2 = 14
154/D1 = 44/14
So, the choice B. is correct.