Straight Line and slope

a) Explain what is the y-intercept and which letter represents it in the equation y = mx +b. b) If a and b are positive numbers, what is all the information we can deduce about the relationship between the lines: L1: y = - ax + b and L2: y = (1/a)x + b?

Sine Rule in Triangles

Q: I know the length of two sides of a triangle. I know the degree of the hypotenuse. How do I figure out the length of the base. Example: The length of two sides is 144 inches. The angle is 22.5%. How long is the base?

rotating hyperbola

is the function c(x)=(x^2+4)/x an hyperbola ? How would you rotate it 45 degrees in an anti clockwise direction ?

Simple Geometry

Given a line segment of length 1 inch, how do I construct a line segment of squareroot(6), squareroot(7), squareroot(8), etc. Also, given a wire of total length 4236 feet, how do I CONSTRUCT A GOLDEN TRIANGLE FROM THE WIRE.

I have a model of Mercury that is 5 inches in diameter the actual diameter is 4880 km. What is my scale?

not sure