Problems marked (Hyperbolic) are to be done in Hyperbolic geometry (assuming the Hyperbolic parallel postulate and its consequences). (Hyperbolic) Assume that two regular pentagons have the same defect. Prove they must be congruent.

Q: 1. Consider the parabola with focus point (1, 1) and directrix the horizontal line y = -3. a) What…

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Q: Find the distance from the point (0,3,0) to the plane 7x + 4y + 4z = 7. The distance from the point…

A: The Distance between a point to the plane  is given as follows

Q: 7. Fill in the blanks: a) The axis of symmetry of the parabola y = -2(x- 3)?– 1 is_ b) When the…

A: Given query is to find indicated points for parabola.

Q: 2. Circle the parabolas that are stretches of the graph y = x². а) у3 1.25х? c) y = – x? b) y = 0.25…

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Q: Non Euclidian Goemetry Answer the following questions considering the Beltrami-Klein and Poincaré…

A: a) The opposite postulate of the parallels in hyperbolic geometry is known as the "hyperbolic…

Q: A parabola in standard position passes through the point (3,6). What is the equation of its…

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Q: 2. A trucking company needs to determine whether a house trailer will fit that has an opening shaped…

A: In this question we will use basic of calculus i.e concept of parabolic curve. We will first find…

Q: ái) Taka u flection in x- axis shift I unit opew and : y= -2 (x+3)*+1. S -1 -3 -2 -1 Vortical y…

A: topic - domain and range of parabola

Q: 2. Consider the converse statement "If Pis a point such that PA = PB, then Pis on the perpendicular…

A: Please find the answer in next step

Q: 4. Quadrilateral JKLM is reflected in the x -axis to form quadrilateral WXYZ. What are the…

A: Given, quadrilateral JKLM is reflected in the x-axis to fom quadrilateral WXYZ.…

Q: 5. What can you change to the two planes to make them parallel? Make as few changes as possible and…

A: given planes π5: 2x-4y+2z-2=0π6: x-y+3z-2=0

Q: Graph including intercepts and all convenient points. 14) 48x2 + 12y2 = 192 Hyperbola

A: Here we find the important points that a hyperbola will help to describe it

Q: Read each question caref (This may include diagrams and equations). 1) In parallelogram MNPQ, QT =…

A: Given query is to find the value of QN.

Q: Quadrilateral RIYA has vertices R (-2, 3), I (3, 8), Y (4, 1) and A (-1, -4). [The use of the set of…

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Q: Given AABC. AABC is rotated 90º around point R. What are the coordinates of A', the vertex of…

A: Given: A triangle ABC is given. △ABC is rotated 90° around the point R. To find: We have to…

Q: acuce 4. Given J(5, 0), K(8, –11), L(-3, –14), M(-6, –3), determine whether parallelogram JKLM is a…

A: Given  here we have given the coordinated of the parallelogram J(5,0), K(8, -11), L(-3, -14),…

Q: Solve for x. Each figure is a parallelogram. 9) 10) 2x-13 W x+3 T. 9. W A) 11 B) 3 C) 6 D) 2 U 13 A)…

A: Both the quadrilaterals are parallelograms.  There fore their opposite sides are equal.