Hi,
What point is the intersection of the graphs:
x^2 + y^2 = 25 circle C(0,0) and radius = 5 (See below)
y = x + 7 Line: Pt(0,7) and Pt(-7,0) on the Line
algebraically: substituting (x+7) for y
x^2 + (x+7)^2= 25
2x^2 +14y + 24 =(2x+6)(x+4) |tossing out x = -3 as Extraneous
x = -4 then y = 3 (y = -4+7)
Graphs: parbola and Line intersect at:(-4,3)
Standard Form of an Equation of a Circle is
where Pt(h,k) is the center and r is the radius
Standard Form of an Equation of an Ellipse is
where Pt(h,k) is the center and a and b are the respective vertices distances from center.
Standard Form of an Equation of an Hyperbola opening right and left is:
where Pt(h,k) is a center with vertices 'a' units right and left of center.
Standard Form of an Equation of an Hyperbola opening up and down is:
where Pt(h,k) is a center with vertices 'b' units up and down from center.
The vertex form of a parabola opening up or down,where(h,k) is the vertex.
The standard form is, where the focus is (h,k + p)
The vertex form of a parabola opening right or left,where(h,k) is the vertex.
The standard form is, where the focus is (h +p,k )