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2 problems match “conic sections”. Clear

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1. Hyperbola through three points ●●○○○ 20 ptsA hyperbola is centered at the origin and opens either horizontally or vertically. It passes through the points $(-3, 4)$, $(-2, 0)$, and $(t, 2)$. Find $t^2$.
2. Height of semi-elliptical arch ●●○○○ 20 ptsAn arch is in the form of a semi-ellipse. It is 8 m wide at the base and 2 m high at the centre. Find the height of the arch at a point 1.5 m from one end (measured horizontally along the base). Round to two decimal places.