In the Kite ABCD with vertices A (-1, 4), B (1, 2), C (-1,0), and D...
VA $ d B ABCD is not a rhombus because the slope of the diagonals are opposite reciprocals. ABCD is not a rhombus. The lengths of AD and BC is 4.1 units but the lengths of AB and DC is 6 units. ABCD is a rhombus because sides AB and DC have a slope of 2 and sides BC and AD have a slope of zero. The opposite sides of a rhombus must have the same slope to be parallel....
4. Let ABCD be a rectangle with vertices A-(0,0), B 4,0) C(4,3), D (0,3) Suppose an isometry f: RR maps ABCD to a new rectangle PQRS where P-f(A)(2,4) and R- f(C)(2,9) Find all possible isometries f, and the remaining points Qf(B) and S-f(D) of the new rectangle.
4. Evaluate (2 + y)dA, where D is the triangle with vertices (0,0), (0,1),(1,0).
T:R3 → R2 is a linear transformation with T(1,0, 2) = (2, -1) and T(0,1, -1) = (5,2). It follows that T(2, -3, 7) is equal to Select one: 0 a. (7,1) O O b. not enough information is given to determine the answer C. (-11, –8) O d. (2, -3) o e. (19,-4)
A kite is a quadrilateral with two pairs of adjacents sides of equal length. If the pairs have the same length, then the object is called a rhombus. Some authors restrict kites to being convex. However, a quadrilateral defined as above could be either convex or concave. Concave kites are often called arrowheads or darts. (Note: all rhombi must be convex.) A kite has two sides of length a = b = 6.5 and two sides of length c= d...
T:R R2 is a linear transformation with T(1,0, 2) = (2, 1) and T(0,1,-1) = (-5,2). It follows that T(2, -3,7) is equal to Select one: 0 a. (-11, -8) O b. (2, 3) c (19, -1) d. not enough information is given to determine the answer e(-3,3)
(10 pts) Evaluate where C is the boundary of the square with vertices (0,0), (1,0),(0,1) and (1, 1) oriented clockwise. (10 pts) Evaluate where C is the boundary of the square with vertices (0,0), (1,0),(0,1) and (1, 1) oriented clockwise.
question 1 and 2 please, thank you. 1. In the following graph, suppose that the vertices A, B, C, D, E, and F represent towns, and the edges between those vertices represent roads. And suppose that you want to start traveling from town A, pass through each town exactly once, and then end at town F. List all the different paths that you could take Hin: For instance, one of the paths is A, B, C, E, D, F. (These...
9. Using theorem 12.3, find the three angles of the triangle with vertices P (1,0,-1), Q = (3,-2,0), and R (1,3, 3). a b 2 cose 9. Using theorem 12.3, find the three angles of the triangle with vertices P (1,0,-1), Q = (3,-2,0), and R (1,3, 3). a b 2 cose
m sec sec Q4- Given A(0,0,0), B(1,-1,1), C(2,1,-2) and D(-1,2,-1) are vertices of tetrahedron. If the rate of increase in side AB = 0.5 m, BC = 0.3 and ACE 0.4 Find the change in altitude of tetrahedron ABCD to get the change in volume m3 0.1 m sec sec