Show that the distance measure defined as the angle between two data vectors, x and y, satisfies the metric axioms given on page 70. Specifically, angle between two data vectors is arccos( cos(x, y) ), so d(x, y) = arccos( cos(x, y) )Show for distance measure arccos( cos(x, y) )A) Positivity1) d(x, x) >= 0 for all x and y,2) d(x, y) == 0 onlY if x == y. B) Symmetryd(x, y) == d(y, x) for all x and y. C) Triangle Inequalityd(x, z) < d(x, y) + d(y, z) for all points x, y, and z. D) Explain in simple English the intuition for why would arccos( cos(x, y) ) satisfy the same properties (A, B,C above) as the Euclidean distance.

Which of the binomials below is a factor of this trinominal? x^2-13+30

Find the area and perimeter of each composite figure. use 3.14 for π. round your answer to the nearest tenth. a square and a right triangle share a common side. image long description a 3-meter by 0.5-meter rectangle has triangles attached like wings to the 3-meter sides. the other two sides of both triangles measure 2.5 meters. the height of each triangle is 2 meters. a 6-inch by 4-inch rectangle has 2 half-circles attached like wings to the 6-inch sides. the radius of each half-circle is 3 inches. find the surface area and volume of each figure. use 3.14 for π. round your answer to the nearest tenth. a right circular cylinder has a base radius of 6 yards and a height of 20 yards. a rectangular prism has a base that is 9 centimeters long and 7 centimeters wide. the height is 2 centimeters. a rectangular prism has a base that measures 11 millimeters by 11 millimeters. the height is 11 millimeters.

Segment xy is dilated through point m with a scale factor of 2. which segment shows the correct result of the dilation