1.
Let A be the set of all students of a boys school. Show that the relation R in A
given by R = {(a, b): a is sister of b} is the empty relation and
R' = {(a, b) : the difference between heights of a and b is less than 3 meters) is
the universal relation.

Which statements are true of the graph of h(x) = ^3 square root of x-4 ? check all that apply.the domain of h(x) is the set of all real numbers. the range of h(x) is the set of all real numbers. for all points (x, h( h(x) exists if and only if x – 4 0. the graph of h(x) is a translation of f(x) down 4 units. the graph of h(x) intercepts the x-axis at (4, 0).

Which statement accurately explains whether a reflection over the y-axis and a 270° counterclockwise rotation would map figure acb onto itself? a coordinate plane with figure acb with point a at 1, 1, c at 3, 4 and b at 5, 1 yes, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) yes, a″c″b′ is located at a″(1, 1), c″(3, 4), and b″(5, 1) no, a″c″b″ is located at a″(1, 1), c″(4, 3), and b″(1, 5) no, a″c″b″ is located at a″(1, 1), c″(3, 4), and b″(5, 1)

Asquare and an equilateral triangle have the same perimeter. each side the triangle is 4 inches longer than each side of the square. what is the perimeter of the square