Sketch a 4-dimensional triangle (also known as a simplex), unfolded into three dimensions.  How many 3-dimensional sides (also called facets) does it have?

Q: 9 The boundary of the plane figure below consists of three semicircles. each placed on a side of…

A:

Q: ABC has vertices A=(−4,−4,0), B=(−2,−1,x), and C=(−9,−8,4). Find the value for x which yields a…

A:

Q: Hi, any help with this calc 3 problem would be great, thank you!

A:

Q: What are the coordinates of the vertices of the triangle after the translation 2 units up?

A: For the translation 2 units up. The points on the graph change by  (x,y) goes to (x,y+2).

Q: Find the area of a triangle having vertices A(3, 2), B(1, 8), and C(8, 12).

A: We have to find the area of triangle having vertices (3,2) , (11,8) and (8,12).

Q: 5. The vertices of parallelogram ABCD are: A(3, -2, 4), B(-2, 0, 5), C(3, -5, -4) & D(x, y, z). a)…

A:

Q: 5) x2 (y - 6 ) 2 64 121 + - = 1

A: we will find the required.

Q: Use Euler's Theorem to find the number of faces of a polyhedron that has 12 vertices and 20 edges.

A: By using Euler's Theorem to find the number of faces of a polyhedron  that has 12 vertices and 20…

Q: let the vertices of a triangle be A(1,4)     B (4,7)        C(7,1) Calculate its area and height

A:

Q: Exer. 1-14: Find the vertices and foci of the ellipse. Sketch its graph, showing the foci. 9. 2. 25…

A: The vertex of ellipse x2a2+y2b2=1 is a point at which it makes its maximum turn.  Let a>b. Then…