Highway A and Highway B intersect perpendicularly. A car on Highway A is 80km from the intersection and is traveling towards it at 50km/h. A car on Highway B is 70km from the intersection and is traveling towards it at 45km/h.
A) find an expression for the square of the distance (x) between the...
How many pairs of real numbers (x, y) satisfy the equation: (x, y)^2 = (x+3)(y-3)?
A) 0
B) 1
C) 2
D) 3
E) Infinitely many.
Quartic equations of the form Ax^4+Bx^3+Cx^2+Bx+A=0, A\neq 0 are reducbile to quadratics using the substitution u=x+\frac{1}{x} and grouping terms appropriately...
COORDINATE GEOMETRY
1. Explain why the gradient of a straight line is given by m in the equation y=mx+b
2. A straight line has equation y=mx+4m+3. What are the coordinates of a point through which this line passes through, no matter the value of m.
3. AO and BO represent two mirrors placed at...
This is coordinate geometry.
1. A hillside is a plane of gradient \gamma facing due south. A map shows a straight road on the hillside going in the direction \alpha east of north. Find the gradient of the road in terms of \gamma and \alpha.
2. Find the smallest possible value...
1. Ten equal circular discs can just be placed tightly within a frame in the form of an equilateral triangle. Nine of them touch the frame and the tenth is in the centre, with six other discs touch it. If the sides of the frame are each the length of R, express the radius of one disc in terms of...
1. IMAGE: http://postimage.org/image/9rvn50fdx/
prove that the interval PQ joining the midpoints of two adjacent sides AB and BC of a parallelogram ABCD is parallel to the diagonal AC, and cuts off a triangle of area one eighth the area of the parallelogram.
2. Question on image...