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Determine whether the equation represents a circle, an ellipse, a hyperbola, or a parabola. Write the equation in standard form. 9x²+25y²-200y+175=0 The graph of the equation 4x² + Cy² +Dx+Ey+F = 0, where 4 and C are not both zero, is a conic section or a degenerate conic. If the graph represents a conic section, then we have the following cases: (1) The graph is a circle if A = C. (2) The graph is an ellipse if A and C' have the same sign. (AC > 0) (3) The graph is a hyperbola if A and C have opposite signs. (AC <0) (4) The graph is a parabola if 4 or C' is zero.
Identify the equation as representing a circle, an ellipse, a hyperbola, or a parabola. (y-7)² = (x+6) • If the equation represents a circle, identify the center and radius. • If the equation represents an ellipse, identify the center, vertices, endpoints of the minor axis, foci, and eccentricity. • If the equation represents a hyperbola, identify the center, vertices, foci, equations of the asymptotes, and eccentricity. • If the equation represents a parabola, identify the vertex, focus, equation of the directrix, and equation of the axis of symmetry.
Suppose that an object moves in simple harmonic motion with displacement d (in centimeters) at time t (in seconds). Given that 1= - cos (1-3). determine the following. (a) Amplitude (b) Period (c) Frequency (d) Phase shift (e) Least positive value of t for which d= 0. Express numbers in simplest form. Part: 0 / 5 Part 1 of 5 (a) Amplitude |a| = | cm 00 X π