Word Problem

How many days before 17th August is it, if 50 days ago, it was four times as many days since March 30th?

Slope

What is the slope of the line passing through the two points (2,3) (0,6)?

What is the angle of elevation of the sum when a 35ft mast casts a 20 ft shadow?

What is the angle of elevation of the sum when a 35ft mast casts a 20 ft shadow?

Lines and Circles

Say I have for example a circle with centre C(7,-5) passing through point A(6,-3) (With tangent line and radius, AC, being perpendicular.) 1. How would I go about finding the gradient of the tangent? 2. How would I go about finding that the equation of the tangent at A is the line x=2y+12 ? 3. And how would I go about find ...continues

Time And Distances

The movement of two submarines are being followed by a tracking system, and the positions of the submarines are modelled by points. The position of Sub A at time t is (2t+2, 2t+1) and the position of Sub B at time t is (4-t, t+5) (distance in Kilometers) 1.How would I go about eliminating t from each pair of coordinates, and ...continues

Two problems

(1) Given function: f(x) = (x^2)*[e^(12x)] (a) Find its horizontal asymptotes. (b) Find its critical numbers. (c) Find its inflection points. (2) Given function: f(x) = (x^3) / [(x^2) - 16] (a) Find its critical numbers. (b) Find its inflection points.

Star polygons

5/3 and 5/4 are the two they give. Can you find the other 5 regular star polygons with fewer than 10 vertices?

Geometry / algebra problem.

(See attached file for full problem description with diagram) --- The 7y-2 should be in parenthesis (7y-2) and the same thing for 4x+1, i.e. (4x+1). I have tried solving this problem several times I need values for x and y. can you please explain. It is a paralellogram. Thank you soo much. ---

2 problems

(See attached file for full problem descriptions with diagrams) --- 1. Given: A is the midpoint of OX, AB is parallel to XY; BC is parallel to YZ Prove: AC is parallel to XZ. 2. Given: lines PQ, RS, and TU are each perpendicular bisectors to UQ; R is the of line PT. Prove: R is equidistant from U and Q. ---

In a parallelogram, two points on the parallel sides are joined to vertices. The task is to prove that the resulting quadrilateral is a parallelogram

In the parallelogram ABCD, AN bisects the angle DAB, NC bisects angle BCD. Prove that AMCN is a parallelogram.