Answer: The radius of this circle is 0.5
Step-by-step explanation:
We have a circle that passes through the point (0, 0.5)
We do not know the center of the circle, so we have infinite possible radius to answer this, but let's suppose that the center of the circle is in the point (0, 0)
For a circle centered in the origin, we have the equation:
x^2 + y^2 = r^2
Where r is the radius.
Here we have that x = 0 and y = 0.5
then:
0^2 + (0.5)^2 = r^2
0.5^2 = r^2
r = 0.5
The radius of this circle is 0.5
The first table, representing <em>f</em>(<em>x</em>), is linear. The data have a constant rate of change or slope:
<em />(between the first two points): <em>m</em> = (<em>y</em>₂ - <em /><em>y</em>₁)/(<em>x</em>₂ - <em>x</em>₁) = (22-18)/(-1--2) = 4/(-1+2) = 4/1 = 4. The rate of change between any two points is the same:
(between the last two points):<em> m</em> = (34-30)/(2-1) = 4/1 = 4.
The second table, representing <em>g</em>(<em>x</em>), is exponential. The data points are multiplied by the same constant between successive points. 2*2 = 4; 4*2= 8; 8*2 = 16, etc.
2r+7+2n+n2
Because I combined the ones with like terms.
1) 2m+6 / m² + 7m - 12 + (m+2)/(m+4)
= 2(m+3) / (m+4)(m+3) + (m+2)/(m+4)
= 2/(m+4) + (m+2)/(m+4)
= 2+m+2 / (m+4)
= m+4 / m+4
= 1 [ Option A ]
Answer 2) 3/ (x+4) + 7/ (x-3)
= 3(x-3) + 7(x+4)/ (x² +x - 12)
= 3x-9 + 7x + 28 / (x² +x - 12)
= 10x + 19 / (x² +x - 12) [ Option A ]
Hope this helps!
