plane Separation

If A,B,C are noncollinear in a metric geometry prove that triangle ABC is convex. I need to understand what this means and how to do a proof.

Geometry

Prove or disprove: If d0 and d1 are diestance functions on S, s is > or = to 0 and t > 0 then sd0 +td1 is also a distance function on S. I do not even know what this question means! Please help.

taxi cab

Prove or disprove that the Taxicab distance dt satisfies the triangle inequality.

Geometry -- Rectangle

Q: If you have a string of Christmas lights that is 100 feet long, and, you want to hang it in the form of a rectangle that its length is twice its width or more; what is the range of the width? [Hint: This means that we need the lowest and highest values that the width can be.]

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

Geometry Transformations Questions

1) A double reflection over two intersecting lines is the same as a single_____. 2)A double reflection over two parallel lines is the same as a single ______. Given the ordered pair (-3,5), give the coordinates of its image after each of the following tranformations: 1) A reflection over the line y=x _______ 2) A ref ...continues