Mathematics
Solve the following inequation and write the solution and represent it on the real number line. 3 - 2x ≥ x + (1 - x)/3 > 2x/5 , x ∈ R.
Related Questions
The line segment joining A(2, -3) and B(-3, 2) is intercepted by the x-axis at the point M and the y-axis at the point N. PQ is perpendicular to AB at R and meets the y-axis at a distance of 6 units form the origin O, as shown in the diagram, at S. Find the :
(a) coordinates of M and N.
(b) coordinates of S
(c) slope of AB.
(d) equation of line PQ.
The angles of depression of two ships A and B on opposite sides of a light house of height 100 m are respectively 42° and 54°. The line joining the two ships passes through the foot of the light house.
(a) Find the distance between the two ships A and B.
(b) Give your final answer correct to the nearest whole number.
(Use mathematical tables for this question)
ABCD is a cyclic quadrilateral in which BC = CD and EF is a tangent at A. ∠CBD = 43° and ∠ADB = 62°. Find :
(a) ∠ADC
(b) ∠ABD
(c) ∠FAD
A(a, b), B(-4, 3) and C(8, -6) are the vertices of a △ ABC. Point D is on BC such that BD : DC is 2 : 1 and M(6, 0) is mid-point of AD. Find :
(a) coordinates of point D.
(b) coordinates of point A.
(c) equation of a line parallel to line BC, through M.