Step-by-step explanation:
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Answer:
Your equation is 
Step-by-step explanation:
Well, the center origin of the circle is given (h,k) = (1,-1).
We have to find our radius as they gave us a point. from origin to the edge of the circle.
Using the formula: (x - h)^2 + (y - k)^2 = r^2
Plug in our (h,k) = (1,-1) and (x,y) = (0.5,-1) to solve for radius.
(x - h)^2 + (y - k)^2 = r^2
(0.5 - (1))^2 + (-1 - (-1))^2 = r^2
(-0.5)^2 + (0)^2 = r^2
1/4= r^2
r^2 = 1/4
r = 1/2
A system of equations with one polynomial function of degree two and one linear function will have two solutions when the line intersects the parabola at two points.
A system of equations with one polynomial function of degree two and one linear function will have no solution when the line does not intersects the parabola.
A system of equations with one polynomial function of degree two and one linear function will have one solution when the line intersects the parabola at one point.
For the first question the problem is simple. He is essentially going around 2 sides of a triangle, instead of along the hypotenuse. You would have to use Pythagoras' theorem for the real answer, a^2 + b^2 = c^2. However, for question 15, i don't know, I'm pretty sure this is an American question and I'm British, I don't believe I have ever encountered ordered pairs, or at least i don't remember learning them. Hope this helps ;)
