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Information about the foci and asymptotes of a hyperbola centered at the origin of the xy-plane is given below. Find the hyperbola's standard-form equation. Foci: (0, +10); Asymptotes: y = 1x What is the equation of the hyperbola in standard form? : 12 Find the centroid of the region that is bounded below by the x-axis and above by the ellipse =1. 16 What are the coordinates of the centroid? X (Simplify your answers. Round to four decimal places as needed.)The foci and eccentricity of an ellipse centered at the origin of the xy-plane are given below. Find the ellipse's standard-form equation in Cartesian coordinates. Foci: (14, 0) Eccentricity: 0.25 . . . The given ellipse has the equation (Type your answer in standard form.)