# Length of Side of Cube and Hypotenuse of a Triangle

1) How do I solve the following equations?

a)

Answer:

Please show me how you got your answer in this space.

b) .

Answer:

Please show me how you got your answer in this space.

c) .

Answer:

Please show me how you got your answer in this space.

2) Is an identity (true for all values of x)?

Answer:

Please show me how you got your answer in this space.

3) For the equation , perform the following:

a) Solve for all values of x that satisfies the equation.

Answer:

Please show me how you got your answer in this space.

b) Graph the functions and on the same graph (by plotting points if necessary). Show the points of intersection of these two graphs.

Please show the graph here:

c) How does the graph relate to part a?

Answer:

4) A right triangle is a triangle with one angle measuring 90°. In a right triangle, the sides are related by Pythagorean Theorem, where c is the hypotenuse (the side opposite the 90° angle). How do I find the hypotenuse when the other 2 sides' measurements are 3 feet and 4 feet?

Answer:

Please show me how you got your answer in this space.

5) Suppose you travel north for 35 kilometers then travel east 65 kilometers. How far are you from your starting point?

Answer:

Please show me how you got your answer in this space.

If the volume of a cube is given by V = s3. How do I find the length of a side of a cube if the Volume is 729 cm3?

Answer:

Please show me how you got your answer in this space.

6) While the radical symbol is widely used, converting to rational exponents has advantages. How do I explain an advantage of rational exponents over the radical sign? I need to include in my answer an example of an equation easier to solve as a rational exponent rather then a radical sign.

#### Solution Summary

Solving Word Problems with Radicals and Exponents is investigated.